Skip to content

Instantly share code, notes, and snippets.

@eddietree
Last active March 10, 2017 06:58
Show Gist options
  • Save eddietree/601574940d83d185e4a5c882373256b5 to your computer and use it in GitHub Desktop.
Save eddietree/601574940d83d185e4a5c882373256b5 to your computer and use it in GitHub Desktop.
hook data, 4-levels (chords), 6 chords per-level, total 259 chord progressions
{
"1": {
"probability": 0.22480620155038752,
"name": "I",
"next": {
"2": {
"probability": 0.08823529411764704,
"name": "ii",
"next": {
"1": {
"probability": 0.15071770334928228,
"name": "I",
"next": {
"2": {
"probability": 0.5865168539325842,
"name": "ii"
},
"3": {
"probability": 0.06741573033707865,
"name": "iii"
},
"4": {
"probability": 0.09438202247191012,
"name": "IV"
},
"5": {
"probability": 0.13370786516853933,
"name": "V"
},
"6": {
"probability": 0.060674157303370786,
"name": "vi"
},
"56": {
"probability": 0.05730337078651685,
"name": "V<sup>6</sup>"
}
}
},
"3": {
"probability": 0.18421052631578946,
"name": "iii",
"next": {
"1": {
"probability": 0.11558854718981972,
"name": "I"
},
"2": {
"probability": 0.053022269353128315,
"name": "ii"
},
"4": {
"probability": 0.6733828207847296,
"name": "IV"
},
"5": {
"probability": 0.02757158006362672,
"name": "V"
},
"6": {
"probability": 0.10286320254506892,
"name": "vi"
},
"b7": {
"probability": 0.02757158006362672,
"name": "&#9837;VII"
}
}
},
"4": {
"probability": 0.18899521531100477,
"name": "IV",
"next": {
"1": {
"probability": 0.2765486725663717,
"name": "I"
},
"3": {
"probability": 0.028761061946902658,
"name": "iii"
},
"5": {
"probability": 0.34845132743362833,
"name": "V"
},
"6": {
"probability": 0.22123893805309738,
"name": "vi"
},
"57": {
"probability": 0.045353982300884964,
"name": "V<sup>7</sup>"
},
"5/6": {
"probability": 0.07964601769911504,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.1124401913875598,
"name": "V",
"next": {
"1": {
"probability": 0.3378531073446327,
"name": "I"
},
"2": {
"probability": 0.05536723163841807,
"name": "ii"
},
"4": {
"probability": 0.26440677966101694,
"name": "IV"
},
"6": {
"probability": 0.231638418079096,
"name": "vi"
},
"37": {
"probability": 0.050847457627118633,
"name": "iii<sup>7</sup>"
},
"57": {
"probability": 0.0598870056497175,
"name": "V<sup>7</sup>"
}
}
},
"6": {
"probability": 0.30143540669856456,
"name": "vi",
"next": {
"1": {
"probability": 0.1625615763546798,
"name": "I"
},
"2": {
"probability": 0.04433497536945812,
"name": "ii"
},
"3": {
"probability": 0.03817733990147783,
"name": "iii"
},
"4": {
"probability": 0.46551724137931033,
"name": "IV"
},
"5": {
"probability": 0.25246305418719206,
"name": "V"
},
"5/6": {
"probability": 0.03694581280788177,
"name": "V/vi"
}
}
},
"16": {
"probability": 0.062200956937799035,
"name": "I<sup>6</sup>",
"next": {
"1": {
"probability": 0.04320987654320987,
"name": "I"
},
"3": {
"probability": 0.04320987654320987,
"name": "iii"
},
"4": {
"probability": 0.8127572016460904,
"name": "IV"
},
"6": {
"probability": 0.04320987654320987,
"name": "vi"
},
"265": {
"probability": 0.03600823045267489,
"name": "ii<sup>6</sup><sub>5</sub>"
},
"464": {
"probability": 0.021604938271604934,
"name": "IV<sup>6</sup><sub>4</sub>"
}
}
}
}
},
"3": {
"probability": 0.05588235294117646,
"name": "iii",
"next": {
"1": {
"probability": 0.07331042382588776,
"name": "I",
"next": {
"3": {
"probability": 0.6878850102669404,
"name": "iii"
},
"4": {
"probability": 0.08521560574948665,
"name": "IV"
},
"5": {
"probability": 0.08521560574948665,
"name": "V"
},
"6": {
"probability": 0.0379876796714579,
"name": "vi"
},
"56": {
"probability": 0.04722792607802874,
"name": "V<sup>6</sup>"
},
"564": {
"probability": 0.05646817248459959,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
},
"2": {
"probability": 0.04810996563573884,
"name": "ii",
"next": {
"3": {
"probability": 0.17163412127440905,
"name": "iii"
},
"4": {
"probability": 0.22816032887975332,
"name": "IV"
},
"5": {
"probability": 0.3278520041109969,
"name": "V"
},
"6": {
"probability": 0.1860226104830421,
"name": "vi"
},
"17": {
"probability": 0.04316546762589928,
"name": "I<sup>7</sup>"
},
"57": {
"probability": 0.04316546762589928,
"name": "V<sup>7</sup>"
}
}
},
"4": {
"probability": 0.42497136311569306,
"name": "IV",
"next": {
"1": {
"probability": 0.30546623794212213,
"name": "I"
},
"2": {
"probability": 0.05894962486602358,
"name": "ii"
},
"3": {
"probability": 0.04823151125401929,
"name": "iii"
},
"5": {
"probability": 0.3397642015005359,
"name": "V"
},
"6": {
"probability": 0.22186495176848872,
"name": "vi"
},
"16": {
"probability": 0.02572347266881029,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.09621993127147768,
"name": "V",
"next": {
"1": {
"probability": 0.2841880341880342,
"name": "I"
},
"3": {
"probability": 0.06196581196581197,
"name": "iii"
},
"4": {
"probability": 0.35363247863247865,
"name": "IV"
},
"6": {
"probability": 0.2532051282051282,
"name": "vi"
},
"17": {
"probability": 0.0235042735042735,
"name": "I<sup>7</sup>"
},
"57/5": {
"probability": 0.0235042735042735,
"name": "V<sup>7</sup>/V"
}
}
},
"6": {
"probability": 0.3241695303550974,
"name": "vi",
"next": {
"1": {
"probability": 0.12623490669593854,
"name": "I"
},
"2": {
"probability": 0.09549945115257959,
"name": "ii"
},
"3": {
"probability": 0.08122941822173436,
"name": "iii"
},
"4": {
"probability": 0.3940724478594951,
"name": "IV"
},
"5": {
"probability": 0.2623490669593853,
"name": "V"
},
"66": {
"probability": 0.04061470911086718,
"name": "vi<sup>6</sup>"
}
}
},
"5/5": {
"probability": 0.03321878579610539,
"name": "V/V",
"next": {
"1": {
"probability": 0.6536536536536537,
"name": "I"
},
"6": {
"probability": 0.12212212212212212,
"name": "vi"
},
"67": {
"probability": 0.06106106106106106,
"name": "vi<sup>7</sup>"
},
"D47": {
"probability": 0.12212212212212212,
"name": "IVb7"
},
"L6": {
"probability": 0.041041041041041046,
"name": "vi"
}
}
}
}
},
"4": {
"probability": 0.26764705882352935,
"name": "IV",
"next": {
"1": {
"probability": 0.3776978417266187,
"name": "I",
"next": {
"2": {
"probability": 0.02831257078142695,
"name": "ii"
},
"3": {
"probability": 0.01698754246885617,
"name": "iii"
},
"4": {
"probability": 0.5288788221970554,
"name": "IV"
},
"5": {
"probability": 0.34201585503963755,
"name": "V"
},
"6": {
"probability": 0.06115515288788221,
"name": "vi"
},
"57": {
"probability": 0.022650056625141562,
"name": "V<sup>7</sup>"
}
}
},
"2": {
"probability": 0.05875299760191846,
"name": "ii",
"next": {
"1": {
"probability": 0.11633372502937721,
"name": "I"
},
"3": {
"probability": 0.08695652173913043,
"name": "iii"
},
"4": {
"probability": 0.07755581668625147,
"name": "IV"
},
"5": {
"probability": 0.37485311398354876,
"name": "V"
},
"6": {
"probability": 0.27262044653349005,
"name": "vi"
},
"5/6": {
"probability": 0.07168037602820211,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.031175059952038366,
"name": "iii",
"next": {
"1": {
"probability": 0.058361391694725026,
"name": "I"
},
"2": {
"probability": 0.16498316498316498,
"name": "ii"
},
"4": {
"probability": 0.1750841750841751,
"name": "IV"
},
"5": {
"probability": 0.09090909090909091,
"name": "V"
},
"6": {
"probability": 0.43658810325476993,
"name": "vi"
},
"27": {
"probability": 0.07407407407407407,
"name": "ii<sup>7</sup>"
}
}
},
"5": {
"probability": 0.34892086330935246,
"name": "V",
"next": {
"1": {
"probability": 0.4513661202185792,
"name": "I"
},
"2": {
"probability": 0.02622950819672131,
"name": "ii"
},
"3": {
"probability": 0.03169398907103825,
"name": "iii"
},
"4": {
"probability": 0.15191256830601094,
"name": "IV"
},
"6": {
"probability": 0.32349726775956283,
"name": "vi"
},
"67": {
"probability": 0.015300546448087432,
"name": "vi<sup>7</sup>"
}
}
},
"6": {
"probability": 0.13788968824940048,
"name": "vi",
"next": {
"1": {
"probability": 0.16150442477876104,
"name": "I"
},
"2": {
"probability": 0.04424778761061946,
"name": "ii"
},
"3": {
"probability": 0.017699115044247784,
"name": "iii"
},
"4": {
"probability": 0.13495575221238937,
"name": "IV"
},
"5": {
"probability": 0.6194690265486725,
"name": "V"
},
"56": {
"probability": 0.02212389380530973,
"name": "V<sup>6</sup>"
}
}
},
"16": {
"probability": 0.04556354916067146,
"name": "I<sup>6</sup>",
"next": {
"1": {
"probability": 0.24854819976771197,
"name": "I"
},
"2": {
"probability": 0.32055749128919864,
"name": "ii"
},
"4": {
"probability": 0.10104529616724738,
"name": "IV"
},
"5": {
"probability": 0.08943089430894309,
"name": "V"
},
"27": {
"probability": 0.1869918699186992,
"name": "ii<sup>7</sup>"
},
"564": {
"probability": 0.053426248548199766,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
}
}
},
"5": {
"probability": 0.37058823529411755,
"name": "V",
"next": {
"1": {
"probability": 0.1605080831408776,
"name": "I",
"next": {
"2": {
"probability": 0.03563218390804597,
"name": "ii"
},
"3": {
"probability": 0.031034482758620686,
"name": "iii"
},
"4": {
"probability": 0.40114942528735625,
"name": "IV"
},
"5": {
"probability": 0.4551724137931034,
"name": "V"
},
"6": {
"probability": 0.045977011494252866,
"name": "vi"
},
"56": {
"probability": 0.031034482758620686,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.12009237875288684,
"name": "ii",
"next": {
"1": {
"probability": 0.19499478623566213,
"name": "I"
},
"3": {
"probability": 0.026068821689259645,
"name": "iii"
},
"4": {
"probability": 0.4744525547445255,
"name": "IV"
},
"5": {
"probability": 0.022940563086548484,
"name": "V"
},
"6": {
"probability": 0.2659019812304484,
"name": "vi"
},
"67": {
"probability": 0.015641293013555786,
"name": "vi<sup>7</sup>"
}
}
},
"3": {
"probability": 0.020785219399538105,
"name": "iii",
"next": {
"1": {
"probability": 0.058624577226606536,
"name": "I"
},
"4": {
"probability": 0.3720405862457723,
"name": "IV"
},
"5": {
"probability": 0.08680947012401352,
"name": "V"
},
"6": {
"probability": 0.3314543404735062,
"name": "vi"
},
"47": {
"probability": 0.06426155580608794,
"name": "IV<sup>7</sup>"
},
"67": {
"probability": 0.08680947012401352,
"name": "vi<sup>7</sup>"
}
}
},
"4": {
"probability": 0.28290993071593534,
"name": "IV",
"next": {
"1": {
"probability": 0.5337690631808278,
"name": "I"
},
"2": {
"probability": 0.027233115468409588,
"name": "ii"
},
"3": {
"probability": 0.03485838779956427,
"name": "iii"
},
"5": {
"probability": 0.2113289760348584,
"name": "V"
},
"6": {
"probability": 0.1721132897603486,
"name": "vi"
},
"16": {
"probability": 0.020697167755991282,
"name": "I<sup>6</sup>"
}
}
},
"6": {
"probability": 0.39491916859122406,
"name": "vi",
"next": {
"1": {
"probability": 0.07007786429365961,
"name": "I"
},
"2": {
"probability": 0.027808676307007785,
"name": "ii"
},
"3": {
"probability": 0.05228031145717463,
"name": "iii"
},
"4": {
"probability": 0.7185761957730811,
"name": "IV"
},
"5": {
"probability": 0.11457174638487205,
"name": "V"
},
"56": {
"probability": 0.016685205784204668,
"name": "V<sup>6</sup>"
}
}
},
"b7": {
"probability": 0.020785219399538105,
"name": "&#9837;VII",
"next": {
"1": {
"probability": 0.1682340647857889,
"name": "I"
},
"2": {
"probability": 0.03239289446185997,
"name": "ii"
},
"4": {
"probability": 0.6907001044932078,
"name": "IV"
},
"b3": {
"probability": 0.04388714733542319,
"name": "&#9837;III"
},
"M5": {
"probability": 0.03239289446185997,
"name": "v"
},
"D4": {
"probability": 0.03239289446185997,
"name": "IV"
}
}
}
}
},
"6": {
"probability": 0.14705882352941174,
"name": "vi",
"next": {
"1": {
"probability": 0.125,
"name": "I",
"next": {
"2": {
"probability": 0.042643923240938165,
"name": "ii"
},
"3": {
"probability": 0.07356076759061835,
"name": "iii"
},
"4": {
"probability": 0.2185501066098081,
"name": "IV"
},
"5": {
"probability": 0.09808102345415777,
"name": "V"
},
"6": {
"probability": 0.5533049040511727,
"name": "vi"
},
"57": {
"probability": 0.013859275053304903,
"name": "V<sup>7</sup>"
}
}
},
"2": {
"probability": 0.11190476190476191,
"name": "ii",
"next": {
"1": {
"probability": 0.10139860139860139,
"name": "I"
},
"3": {
"probability": 0.03263403263403263,
"name": "iii"
},
"4": {
"probability": 0.17249417249417248,
"name": "IV"
},
"5": {
"probability": 0.5675990675990676,
"name": "V"
},
"57": {
"probability": 0.10139860139860139,
"name": "V<sup>7</sup>"
},
"5/6": {
"probability": 0.024475524475524476,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.09761904761904763,
"name": "iii",
"next": {
"1": {
"probability": 0.11134676564156945,
"name": "I"
},
"2": {
"probability": 0.03711558854718982,
"name": "ii"
},
"4": {
"probability": 0.5270413573700954,
"name": "IV"
},
"5": {
"probability": 0.26193001060445387,
"name": "V"
},
"6": {
"probability": 0.04559915164369034,
"name": "vi"
},
"342": {
"probability": 0.01696712619300106,
"name": "iii<sup>4</sup><sub>2</sub>"
}
}
},
"4": {
"probability": 0.3678571428571429,
"name": "IV",
"next": {
"1": {
"probability": 0.42152466367713004,
"name": "I"
},
"2": {
"probability": 0.03587443946188341,
"name": "ii"
},
"5": {
"probability": 0.48766816143497754,
"name": "V"
},
"6": {
"probability": 0.021300448430493273,
"name": "vi"
},
"57": {
"probability": 0.016816143497757848,
"name": "V<sup>7</sup>"
},
"b4": {
"probability": 0.016816143497757848,
"name": "iv"
}
}
},
"5": {
"probability": 0.275,
"name": "V",
"next": {
"1": {
"probability": 0.184326710816777,
"name": "I"
},
"2": {
"probability": 0.09602649006622514,
"name": "ii"
},
"3": {
"probability": 0.02538631346578366,
"name": "iii"
},
"4": {
"probability": 0.6203090507726269,
"name": "IV"
},
"6": {
"probability": 0.060706401766004406,
"name": "vi"
},
"7": {
"probability": 0.01324503311258278,
"name": "vii&deg;"
}
}
},
"5/6": {
"probability": 0.02261904761904762,
"name": "V/vi",
"next": {
"3": {
"probability": 0.07207207207207206,
"name": "iii"
},
"4": {
"probability": 0.7477477477477477,
"name": "IV"
},
"5": {
"probability": 0.04804804804804804,
"name": "V"
},
"6": {
"probability": 0.06006006006006005,
"name": "vi"
},
"C4": {
"probability": 0.06006006006006005,
"name": "iv"
},
"b4": {
"probability": 0.01201201201201201,
"name": "iv"
}
}
}
}
},
"56": {
"probability": 0.07058823529411763,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.06699147381242387,
"name": "I",
"next": {
"2": {
"probability": 0.21411192214111918,
"name": "ii"
},
"3": {
"probability": 0.06082725060827251,
"name": "iii"
},
"4": {
"probability": 0.18369829683698294,
"name": "IV"
},
"5": {
"probability": 0.0924574209245742,
"name": "V"
},
"56": {
"probability": 0.38807785888077856,
"name": "V<sup>6</sup>"
},
"564": {
"probability": 0.06082725060827251,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
},
"4": {
"probability": 0.08526187576126676,
"name": "IV",
"next": {
"1": {
"probability": 0.5453597497393118,
"name": "I"
},
"3": {
"probability": 0.04171011470281544,
"name": "iii"
},
"5": {
"probability": 0.22419186652763295,
"name": "V"
},
"6": {
"probability": 0.18143899895724713,
"name": "vi"
},
"56": {
"probability": 0.007299270072992701,
"name": "V<sup>6</sup>"
}
}
},
"5": {
"probability": 0.05481120584652863,
"name": "V",
"next": {
"1": {
"probability": 0.12169312169312169,
"name": "I"
},
"4": {
"probability": 0.10846560846560847,
"name": "IV"
},
"6": {
"probability": 0.43253968253968256,
"name": "vi"
},
"46": {
"probability": 0.12169312169312169,
"name": "IV<sup>6</sup>"
},
"67": {
"probability": 0.08068783068783068,
"name": "vi<sup>7</sup>"
},
"665": {
"probability": 0.1349206349206349,
"name": "vi<sup>6</sup><sub>5</sub>"
}
}
},
"6": {
"probability": 0.6126674786845311,
"name": "vi",
"next": {
"2": {
"probability": 0.07115135834411383,
"name": "ii"
},
"3": {
"probability": 0.06597671410090555,
"name": "iii"
},
"4": {
"probability": 0.3777490297542043,
"name": "IV"
},
"5": {
"probability": 0.31824062095730915,
"name": "V"
},
"56": {
"probability": 0.09055627425614489,
"name": "V<sup>6</sup>"
},
"164": {
"probability": 0.07632600258732211,
"name": "I<sup>6</sup><sub>4</sub>"
}
}
},
"46": {
"probability": 0.09013398294762485,
"name": "IV<sup>6</sup>",
"next": {
"4": {
"probability": 0.09911894273127754,
"name": "IV"
},
"5": {
"probability": 0.11233480176211454,
"name": "V"
},
"16": {
"probability": 0.11233480176211454,
"name": "I<sup>6</sup>"
},
"36": {
"probability": 0.08590308370044053,
"name": "iii<sup>6</sup>"
},
"56": {
"probability": 0.08590308370044053,
"name": "V<sup>6</sup>"
},
"164": {
"probability": 0.5044052863436124,
"name": "I<sup>6</sup><sub>4</sub>"
}
}
},
"67": {
"probability": 0.09013398294762485,
"name": "vi<sup>7</sup>",
"next": {
"2": {
"probability": 0.05377906976744185,
"name": "ii"
},
"4": {
"probability": 0.36627906976744184,
"name": "IV"
},
"5": {
"probability": 0.3386627906976744,
"name": "V"
},
"27": {
"probability": 0.1075581395348837,
"name": "ii<sup>7</sup>"
},
"57": {
"probability": 0.07994186046511627,
"name": "V<sup>7</sup>"
},
"642": {
"probability": 0.05377906976744185,
"name": "vi<sup>4</sup><sub>2</sub>"
}
}
}
}
}
}
},
"2": {
"probability": 0.075968992248062,
"name": "ii",
"next": {
"1": {
"probability": 0.17408906882591094,
"name": "I",
"next": {
"2": {
"probability": 0.2247474747474747,
"name": "ii",
"next": {
"1": {
"probability": 0.570615034168565,
"name": "I"
},
"3": {
"probability": 0.09794988610478358,
"name": "iii"
},
"4": {
"probability": 0.08086560364464691,
"name": "IV"
},
"5": {
"probability": 0.03302961275626424,
"name": "V"
},
"6": {
"probability": 0.1845102505694761,
"name": "vi"
},
"5/6": {
"probability": 0.03302961275626424,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.04545454545454544,
"name": "iii",
"next": {
"4": {
"probability": 0.32769044740024184,
"name": "IV"
},
"5": {
"probability": 0.06892382103990326,
"name": "V"
},
"6": {
"probability": 0.25876662636033854,
"name": "vi"
},
"17": {
"probability": 0.2067714631197098,
"name": "I<sup>7</sup>"
},
"27": {
"probability": 0.05199516324062877,
"name": "ii<sup>7</sup>"
},
"b37": {
"probability": 0.08585247883917774,
"name": "&#9837;III<sup>7</sup>"
}
}
},
"4": {
"probability": 0.16287878787878785,
"name": "IV",
"next": {
"1": {
"probability": 0.19251925192519254,
"name": "I"
},
"2": {
"probability": 0.12321232123212322,
"name": "ii"
},
"3": {
"probability": 0.08800880088008801,
"name": "iii"
},
"5": {
"probability": 0.306930693069307,
"name": "V"
},
"6": {
"probability": 0.17931793179317934,
"name": "vi"
},
"16": {
"probability": 0.11001100110011003,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.3497474747474747,
"name": "V",
"next": {
"1": {
"probability": 0.11223344556677892,
"name": "I"
},
"2": {
"probability": 0.4590347923681257,
"name": "ii"
},
"3": {
"probability": 0.06734006734006734,
"name": "iii"
},
"4": {
"probability": 0.14141414141414144,
"name": "IV"
},
"6": {
"probability": 0.16947250280583614,
"name": "vi"
},
"542": {
"probability": 0.05050505050505051,
"name": "V<sup>4</sup><sub>2</sub>"
}
}
},
"6": {
"probability": 0.15025252525252522,
"name": "vi",
"next": {
"1": {
"probability": 0.19230769230769235,
"name": "I"
},
"2": {
"probability": 0.1787941787941788,
"name": "ii"
},
"4": {
"probability": 0.1205821205821206,
"name": "IV"
},
"5": {
"probability": 0.4012474012474013,
"name": "V"
},
"7": {
"probability": 0.02702702702702703,
"name": "vii&deg;"
},
"b7": {
"probability": 0.08004158004158005,
"name": "&#9837;VII"
}
}
},
"56": {
"probability": 0.0669191919191919,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.281615302869288,
"name": "I"
},
"2": {
"probability": 0.18703506907545162,
"name": "ii"
},
"5": {
"probability": 0.19766206163655684,
"name": "V"
},
"6": {
"probability": 0.16684378320935175,
"name": "vi"
},
"36": {
"probability": 0.06269925611052071,
"name": "iii<sup>6</sup>"
},
"M77": {
"probability": 0.10414452709883103,
"name": "&#9837;VII<sup>7</sup>"
}
}
}
}
},
"3": {
"probability": 0.11875843454790823,
"name": "iii",
"next": {
"1": {
"probability": 0.05895196506550218,
"name": "I",
"next": {
"2": {
"probability": 0.5234972677595628,
"name": "ii"
},
"4": {
"probability": 0.18469945355191258,
"name": "IV"
},
"6": {
"probability": 0.07650273224043716,
"name": "vi"
},
"L7": {
"probability": 0.09289617486338798,
"name": "vii"
},
"L77": {
"probability": 0.07650273224043716,
"name": "vii<sup>7</sup>"
},
"5/6": {
"probability": 0.04590163934426229,
"name": "V/vi"
}
}
},
"2": {
"probability": 0.10043668122270742,
"name": "ii",
"next": {
"1": {
"probability": 0.20528455284552846,
"name": "I"
},
"3": {
"probability": 0.589430894308943,
"name": "iii"
},
"4": {
"probability": 0.07723577235772358,
"name": "IV"
},
"5": {
"probability": 0.025406504065040653,
"name": "V"
},
"6": {
"probability": 0.07723577235772358,
"name": "vi"
},
"37": {
"probability": 0.025406504065040653,
"name": "iii<sup>7</sup>"
}
}
},
"4": {
"probability": 0.5316593886462881,
"name": "IV",
"next": {
"1": {
"probability": 0.09999999999999999,
"name": "I"
},
"2": {
"probability": 0.02282608695652174,
"name": "ii"
},
"3": {
"probability": 0.14891304347826087,
"name": "iii"
},
"5": {
"probability": 0.6076086956521739,
"name": "V"
},
"6": {
"probability": 0.09782608695652173,
"name": "vi"
},
"16": {
"probability": 0.02282608695652174,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.04475982532751092,
"name": "V",
"next": {
"1": {
"probability": 0.235,
"name": "I"
},
"6": {
"probability": 0.706,
"name": "vi"
},
"C5": {
"probability": 0.059,
"name": "&#9837;V"
}
}
},
"6": {
"probability": 0.22598253275109167,
"name": "vi",
"next": {
"1": {
"probability": 0.15474794841735054,
"name": "I"
},
"2": {
"probability": 0.24384525205158264,
"name": "ii"
},
"3": {
"probability": 0.1899179366940211,
"name": "iii"
},
"4": {
"probability": 0.24384525205158264,
"name": "IV"
},
"5": {
"probability": 0.12778429073856976,
"name": "V"
},
"56": {
"probability": 0.03985932004689332,
"name": "V<sup>6</sup>"
}
}
},
"47": {
"probability": 0.03820960698689956,
"name": "IV<sup>7</sup>",
"next": {
"3": {
"probability": 0.07188841201716738,
"name": "iii"
},
"5": {
"probability": 0.6909871244635192,
"name": "V"
},
"16": {
"probability": 0.04721030042918454,
"name": "I<sup>6</sup>"
},
"443": {
"probability": 0.14270386266094418,
"name": "IV<sup>4</sup><sub>3</sub>"
},
"b6": {
"probability": 0.04721030042918454,
"name": "&#9837;VI"
}
}
}
}
},
"4": {
"probability": 0.20917678812415655,
"name": "IV",
"next": {
"1": {
"probability": 0.3808463251670378,
"name": "I",
"next": {
"2": {
"probability": 0.09606986899563316,
"name": "ii"
},
"4": {
"probability": 0.029475982532751088,
"name": "IV"
},
"5": {
"probability": 0.7183406113537117,
"name": "V"
},
"6": {
"probability": 0.057860262008733614,
"name": "vi"
},
"56": {
"probability": 0.05349344978165938,
"name": "V<sup>6</sup>"
},
"b7": {
"probability": 0.04475982532751091,
"name": "&#9837;VII"
}
}
},
"2": {
"probability": 0.062360801781737175,
"name": "ii",
"next": {
"1": {
"probability": 0.1303395399780942,
"name": "I"
},
"3": {
"probability": 0.1829134720700986,
"name": "iii"
},
"4": {
"probability": 0.4863088718510405,
"name": "IV"
},
"5": {
"probability": 0.1303395399780942,
"name": "V"
},
"16": {
"probability": 0.02628696604600219,
"name": "I<sup>6</sup>"
},
"b2": {
"probability": 0.04381161007667032,
"name": "ii&deg;"
}
}
},
"3": {
"probability": 0.05345211581291758,
"name": "iii",
"next": {
"1": {
"probability": 0.11100000000000002,
"name": "I"
},
"2": {
"probability": 0.25000000000000006,
"name": "ii"
},
"4": {
"probability": 0.09300000000000001,
"name": "IV"
},
"5": {
"probability": 0.07400000000000001,
"name": "V"
},
"6": {
"probability": 0.42600000000000005,
"name": "vi"
},
"5/6": {
"probability": 0.046000000000000006,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.2850779510022271,
"name": "V",
"next": {
"1": {
"probability": 0.21227887617065555,
"name": "I"
},
"2": {
"probability": 0.28824141519250784,
"name": "ii"
},
"3": {
"probability": 0.027055150884495317,
"name": "iii"
},
"4": {
"probability": 0.11238293444328824,
"name": "IV"
},
"6": {
"probability": 0.32049947970863685,
"name": "vi"
},
"b7": {
"probability": 0.03954214360041623,
"name": "&#9837;VII"
}
}
},
"6": {
"probability": 0.17483296213808458,
"name": "vi",
"next": {
"1": {
"probability": 0.20538720538720534,
"name": "I"
},
"2": {
"probability": 0.041526374859708184,
"name": "ii"
},
"3": {
"probability": 0.038159371492704826,
"name": "iii"
},
"4": {
"probability": 0.060606060606060594,
"name": "IV"
},
"5": {
"probability": 0.6228956228956228,
"name": "V"
},
"56": {
"probability": 0.03142536475869809,
"name": "V<sup>6</sup>"
}
}
},
"5/6": {
"probability": 0.04342984409799553,
"name": "V/vi",
"next": {
"2": {
"probability": 0.106,
"name": "ii"
},
"4": {
"probability": 0.106,
"name": "IV"
},
"5": {
"probability": 0.035,
"name": "V"
},
"6": {
"probability": 0.671,
"name": "vi"
},
"46": {
"probability": 0.035,
"name": "IV<sup>6</sup>"
},
"56/6": {
"probability": 0.047,
"name": "V<sup>6</sup>/vi"
}
}
}
}
},
"5": {
"probability": 0.21322537112010798,
"name": "V",
"next": {
"1": {
"probability": 0.48677884615384615,
"name": "I",
"next": {
"2": {
"probability": 0.1997422680412371,
"name": "ii"
},
"4": {
"probability": 0.3054123711340206,
"name": "IV"
},
"5": {
"probability": 0.06958762886597938,
"name": "V"
},
"6": {
"probability": 0.2925257731958763,
"name": "vi"
},
"16": {
"probability": 0.038659793814432984,
"name": "I<sup>6</sup>"
},
"56": {
"probability": 0.0940721649484536,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.12740384615384615,
"name": "ii",
"next": {
"4": {
"probability": 0.08884073672806068,
"name": "IV"
},
"5": {
"probability": 0.7692307692307693,
"name": "V"
},
"6": {
"probability": 0.08450704225352114,
"name": "vi"
},
"27": {
"probability": 0.013001083423618637,
"name": "ii<sup>7</sup>"
},
"D3": {
"probability": 0.031419284940411706,
"name": "&#9837;III"
},
"b7": {
"probability": 0.013001083423618637,
"name": "&#9837;VII"
}
}
},
"3": {
"probability": 0.04927884615384615,
"name": "iii",
"next": {
"1": {
"probability": 0.06716417910447761,
"name": "I"
},
"4": {
"probability": 0.2889125799573561,
"name": "IV"
},
"5": {
"probability": 0.04477611940298507,
"name": "V"
},
"6": {
"probability": 0.47761194029850745,
"name": "vi"
},
"5/2": {
"probability": 0.08848614072494669,
"name": "V/ii"
},
"57/6": {
"probability": 0.03304904051172708,
"name": "V<sup>7</sup>/vi"
}
}
},
"4": {
"probability": 0.10937499999999999,
"name": "IV",
"next": {
"1": {
"probability": 0.22396416573348268,
"name": "I"
},
"2": {
"probability": 0.10414333706606944,
"name": "ii"
},
"3": {
"probability": 0.09406494960806272,
"name": "iii"
},
"5": {
"probability": 0.2497200447928332,
"name": "V"
},
"6": {
"probability": 0.29675251959686455,
"name": "vi"
},
"242": {
"probability": 0.03135498320268757,
"name": "ii<sup>4</sup><sub>2</sub>"
}
}
},
"6": {
"probability": 0.20552884615384615,
"name": "vi",
"next": {
"1": {
"probability": 0.11163337250293771,
"name": "I"
},
"2": {
"probability": 0.18213866039952994,
"name": "ii"
},
"3": {
"probability": 0.06462984723854288,
"name": "iii"
},
"4": {
"probability": 0.3913043478260869,
"name": "IV"
},
"5": {
"probability": 0.2032902467685076,
"name": "V"
},
"56": {
"probability": 0.04700352526439482,
"name": "V<sup>6</sup>"
}
}
},
"7/6": {
"probability": 0.02163461538461538,
"name": "vii&deg;/vi",
"next": {
"6": {
"probability": 0.881,
"name": "vi"
},
"76/6": {
"probability": 0.095,
"name": "vii&deg;<sup>6</sup>/vi"
},
"4/7": {
"probability": 0.024,
"name": "IV/vii"
}
}
}
}
},
"6": {
"probability": 0.242914979757085,
"name": "vi",
"next": {
"1": {
"probability": 0.222509702457956,
"name": "I",
"next": {
"2": {
"probability": 0.19401444788441694,
"name": "ii"
},
"3": {
"probability": 0.02476780185758514,
"name": "iii"
},
"4": {
"probability": 0.20743034055727555,
"name": "IV"
},
"5": {
"probability": 0.5170278637770898,
"name": "V"
},
"47": {
"probability": 0.047471620227038186,
"name": "IV<sup>7</sup>"
},
"L5": {
"probability": 0.009287925696594427,
"name": "V"
}
}
},
"2": {
"probability": 0.14100905562742563,
"name": "ii",
"next": {
"1": {
"probability": 0.09070796460176993,
"name": "I"
},
"3": {
"probability": 0.0752212389380531,
"name": "iii"
},
"4": {
"probability": 0.0752212389380531,
"name": "IV"
},
"5": {
"probability": 0.0674778761061947,
"name": "V"
},
"6": {
"probability": 0.6382743362831859,
"name": "vi"
},
"5/6": {
"probability": 0.05309734513274337,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.09831824062095731,
"name": "iii",
"next": {
"1": {
"probability": 0.058954393770856504,
"name": "I"
},
"2": {
"probability": 0.11902113459399333,
"name": "ii"
},
"4": {
"probability": 0.1568409343715239,
"name": "IV"
},
"5": {
"probability": 0.0867630700778643,
"name": "V"
},
"6": {
"probability": 0.5350389321468297,
"name": "vi"
},
"5/5": {
"probability": 0.04338153503893215,
"name": "V/V"
}
}
},
"4": {
"probability": 0.2755498059508409,
"name": "IV",
"next": {
"1": {
"probability": 0.46458333333333324,
"name": "I"
},
"2": {
"probability": 0.1614583333333333,
"name": "ii"
},
"3": {
"probability": 0.04999999999999999,
"name": "iii"
},
"5": {
"probability": 0.2864583333333333,
"name": "V"
},
"6": {
"probability": 0.02083333333333333,
"name": "vi"
},
"47": {
"probability": 0.016666666666666663,
"name": "IV<sup>7</sup>"
}
}
},
"5": {
"probability": 0.22509702457956016,
"name": "V",
"next": {
"1": {
"probability": 0.2507936507936508,
"name": "I"
},
"2": {
"probability": 0.15026455026455024,
"name": "ii"
},
"3": {
"probability": 0.053968253968253964,
"name": "iii"
},
"4": {
"probability": 0.46137566137566133,
"name": "IV"
},
"6": {
"probability": 0.06984126984126984,
"name": "vi"
},
"b7": {
"probability": 0.013756613756613755,
"name": "&#9837;VII"
}
}
},
"5/6": {
"probability": 0.03751617076326003,
"name": "V/vi",
"next": {
"2": {
"probability": 0.10459770114942528,
"name": "ii"
},
"4": {
"probability": 0.13448275862068967,
"name": "IV"
},
"6": {
"probability": 0.5816091954022988,
"name": "vi"
},
"56/6": {
"probability": 0.0896551724137931,
"name": "V<sup>6</sup>/vi"
},
"542/6": {
"probability": 0.04482758620689655,
"name": "V<sup>4</sup><sub>2</sub>/vi"
},
"L7": {
"probability": 0.04482758620689655,
"name": "vii"
}
}
}
}
},
"5/6": {
"probability": 0.04183535762483131,
"name": "V/vi",
"next": {
"2": {
"probability": 0.06727480045610033,
"name": "ii",
"next": {
"6": {
"probability": 0.154,
"name": "vi"
},
"66": {
"probability": 0.231,
"name": "vi<sup>6</sup>"
},
"5/6": {
"probability": 0.615,
"name": "V/vi"
}
}
},
"4": {
"probability": 0.23033067274800453,
"name": "IV",
"next": {
"1": {
"probability": 0.04234122042341221,
"name": "I"
},
"2": {
"probability": 0.1432129514321295,
"name": "ii"
},
"5": {
"probability": 0.3001245330012453,
"name": "V"
},
"5/6": {
"probability": 0.286425902864259,
"name": "V/vi"
},
"56/6": {
"probability": 0.1855541718555417,
"name": "V<sup>6</sup>/vi"
},
"C3": {
"probability": 0.04234122042341221,
"name": "&#9837;iii"
}
}
},
"6": {
"probability": 0.6282782212086658,
"name": "vi",
"next": {
"1": {
"probability": 0.07216494845360824,
"name": "I"
},
"2": {
"probability": 0.16838487972508587,
"name": "ii"
},
"3": {
"probability": 0.08705612829324168,
"name": "iii"
},
"4": {
"probability": 0.4375715922107674,
"name": "IV"
},
"5": {
"probability": 0.20160366552119124,
"name": "V"
},
"5/6": {
"probability": 0.033218785796105384,
"name": "V/vi"
}
}
},
"67": {
"probability": 0.01824401368301026,
"name": "vi<sup>7</sup>",
"next": {
"6": {
"probability": 0.75,
"name": "vi"
},
"664": {
"probability": 0.25,
"name": "vi<sup>6</sup><sub>4</sub>"
}
}
},
"564/6": {
"probability": 0.0330672748004561,
"name": "V<sup>6</sup><sub>4</sub>/vi",
"next": {
"2": {
"probability": 0.231,
"name": "ii"
},
"6": {
"probability": 0.769,
"name": "vi"
}
}
},
"56/6": {
"probability": 0.022805017103762825,
"name": "V<sup>6</sup>/vi",
"next": {
"6": {
"probability": 0.75,
"name": "vi"
},
"5/6": {
"probability": 0.25,
"name": "V/vi"
}
}
}
}
}
}
},
"3": {
"probability": 0.052713178294573636,
"name": "iii",
"next": {
"1": {
"probability": 0.05997552019583843,
"name": "I",
"next": {
"2": {
"probability": 0.14654002713704206,
"name": "ii",
"next": {
"1": {
"probability": 0.05194805194805194,
"name": "I"
},
"3": {
"probability": 0.49950049950049946,
"name": "iii"
},
"4": {
"probability": 0.20679320679320676,
"name": "IV"
},
"6": {
"probability": 0.1898101898101898,
"name": "vi"
},
"5/6": {
"probability": 0.05194805194805194,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.2062415196743555,
"name": "iii",
"next": {
"1": {
"probability": 0.4270833333333333,
"name": "I"
},
"4": {
"probability": 0.21354166666666666,
"name": "IV"
},
"6": {
"probability": 0.2,
"name": "vi"
},
"57": {
"probability": 0.03958333333333333,
"name": "V<sup>7</sup>"
},
"5/5": {
"probability": 0.08020833333333334,
"name": "V/V"
},
"L7": {
"probability": 0.03958333333333333,
"name": "vii"
}
}
},
"4": {
"probability": 0.13704206241519676,
"name": "IV",
"next": {
"1": {
"probability": 0.132,
"name": "I"
},
"3": {
"probability": 0.396,
"name": "iii"
},
"5": {
"probability": 0.302,
"name": "V"
},
"6": {
"probability": 0.113,
"name": "vi"
},
"L26": {
"probability": 0.057,
"name": "II<sup>6</sup>"
}
}
},
"5": {
"probability": 0.24287652645861602,
"name": "V",
"next": {
"2": {
"probability": 0.12030075187969926,
"name": "ii"
},
"3": {
"probability": 0.09273182957393485,
"name": "iii"
},
"4": {
"probability": 0.25313283208020054,
"name": "IV"
},
"6": {
"probability": 0.2669172932330827,
"name": "vi"
},
"5/3": {
"probability": 0.16040100250626568,
"name": "V/iii"
},
"5/5": {
"probability": 0.10651629072681706,
"name": "V/V"
}
}
},
"6": {
"probability": 0.2130257801899593,
"name": "vi",
"next": {
"1": {
"probability": 0.039460020768431976,
"name": "I"
},
"2": {
"probability": 0.1578400830737279,
"name": "ii"
},
"3": {
"probability": 0.328141225337487,
"name": "iii"
},
"4": {
"probability": 0.2502596053997923,
"name": "IV"
},
"5": {
"probability": 0.17133956386292834,
"name": "V"
},
"b7": {
"probability": 0.05295950155763239,
"name": "&#9837;VII"
}
}
},
"56": {
"probability": 0.054274084124830396,
"name": "V<sup>6</sup>",
"next": {
"4": {
"probability": 0.2,
"name": "IV"
},
"6": {
"probability": 0.55,
"name": "vi"
},
"7/6": {
"probability": 0.25,
"name": "vii&deg;/vi"
}
}
}
}
},
"2": {
"probability": 0.09914320685434516,
"name": "ii",
"next": {
"1": {
"probability": 0.1923076923076923,
"name": "I",
"next": {
"2": {
"probability": 0.30303030303030304,
"name": "ii"
},
"3": {
"probability": 0.09876543209876543,
"name": "iii"
},
"4": {
"probability": 0.22109988776655443,
"name": "IV"
},
"5": {
"probability": 0.122334455667789,
"name": "V"
},
"6": {
"probability": 0.18069584736251404,
"name": "vi"
},
"b7": {
"probability": 0.07407407407407407,
"name": "&#9837;VII"
}
}
},
"3": {
"probability": 0.2590497737556561,
"name": "iii",
"next": {
"2": {
"probability": 0.4014447884416925,
"name": "ii"
},
"4": {
"probability": 0.3126934984520124,
"name": "IV"
},
"6": {
"probability": 0.11971104231166152,
"name": "vi"
},
"47": {
"probability": 0.13003095975232198,
"name": "IV<sup>7</sup>"
},
"5/2": {
"probability": 0.02063983488132095,
"name": "V/ii"
},
"b6": {
"probability": 0.015479876160990712,
"name": "&#9837;VI"
}
}
},
"4": {
"probability": 0.13687782805429863,
"name": "IV",
"next": {
"1": {
"probability": 0.10000000000000002,
"name": "I"
},
"2": {
"probability": 0.08979591836734695,
"name": "ii"
},
"3": {
"probability": 0.3704081632653062,
"name": "iii"
},
"5": {
"probability": 0.18979591836734697,
"name": "V"
},
"6": {
"probability": 0.17040816326530617,
"name": "vi"
},
"5/6": {
"probability": 0.07959183673469389,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.2104072398190045,
"name": "V",
"next": {
"1": {
"probability": 0.46092865232163077,
"name": "I"
},
"2": {
"probability": 0.04643261608154021,
"name": "ii"
},
"3": {
"probability": 0.03850509626274066,
"name": "iii"
},
"4": {
"probability": 0.09399773499433749,
"name": "IV"
},
"6": {
"probability": 0.32842582106455265,
"name": "vi"
},
"67": {
"probability": 0.031710079275198186,
"name": "vi<sup>7</sup>"
}
}
},
"6": {
"probability": 0.1776018099547511,
"name": "vi",
"next": {
"1": {
"probability": 0.09503695881731783,
"name": "I"
},
"2": {
"probability": 0.26187961985216474,
"name": "ii"
},
"3": {
"probability": 0.1826821541710665,
"name": "iii"
},
"4": {
"probability": 0.23020063357972542,
"name": "IV"
},
"5": {
"probability": 0.1826821541710665,
"name": "V"
},
"b7": {
"probability": 0.047518479408658915,
"name": "&#9837;VII"
}
}
},
"5/6": {
"probability": 0.023755656108597284,
"name": "V/vi",
"next": {
"4": {
"probability": 0.16683316683316682,
"name": "IV"
},
"6": {
"probability": 0.6663336663336663,
"name": "vi"
},
"L765": {
"probability": 0.16683316683316682,
"name": "vii<sup>6</sup><sub>5</sub>"
}
}
}
}
},
"4": {
"probability": 0.3990208078335373,
"name": "IV",
"next": {
"1": {
"probability": 0.22095671981776763,
"name": "I",
"next": {
"2": {
"probability": 0.1372328458942632,
"name": "ii"
},
"3": {
"probability": 0.23284589426321708,
"name": "iii"
},
"4": {
"probability": 0.12935883014623173,
"name": "IV"
},
"5": {
"probability": 0.2530933633295838,
"name": "V"
},
"6": {
"probability": 0.21597300337457817,
"name": "vi"
},
"56": {
"probability": 0.031496062992125984,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.07175398633257403,
"name": "ii",
"next": {
"1": {
"probability": 0.0748074807480748,
"name": "I"
},
"3": {
"probability": 0.3355335533553355,
"name": "iii"
},
"4": {
"probability": 0.10451045104510451,
"name": "IV"
},
"5": {
"probability": 0.22002200220022003,
"name": "V"
},
"6": {
"probability": 0.1705170517051705,
"name": "vi"
},
"5/6": {
"probability": 0.0946094609460946,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.13667425968109337,
"name": "iii",
"next": {
"1": {
"probability": 0.04282655246252677,
"name": "I"
},
"2": {
"probability": 0.23126338329764456,
"name": "ii"
},
"4": {
"probability": 0.5021413276231264,
"name": "IV"
},
"5": {
"probability": 0.09100642398286939,
"name": "V"
},
"6": {
"probability": 0.10706638115631693,
"name": "vi"
},
"27": {
"probability": 0.025695931477516063,
"name": "ii<sup>7</sup>"
}
}
},
"5": {
"probability": 0.38724373576309795,
"name": "V",
"next": {
"1": {
"probability": 0.20273109243697476,
"name": "I"
},
"2": {
"probability": 0.048319327731092425,
"name": "ii"
},
"3": {
"probability": 0.16281512605042014,
"name": "iii"
},
"4": {
"probability": 0.06092436974789915,
"name": "IV"
},
"6": {
"probability": 0.5105042016806721,
"name": "vi"
},
"7/6": {
"probability": 0.014705882352941175,
"name": "vii&deg;/vi"
}
}
},
"6": {
"probability": 0.16287015945330294,
"name": "vi",
"next": {
"1": {
"probability": 0.21558164354322307,
"name": "I"
},
"2": {
"probability": 0.03842049092849519,
"name": "ii"
},
"3": {
"probability": 0.2006403415154749,
"name": "iii"
},
"4": {
"probability": 0.061899679829242264,
"name": "IV"
},
"5": {
"probability": 0.4514407684098185,
"name": "V"
},
"16": {
"probability": 0.032017075773746,
"name": "I<sup>6</sup>"
}
}
},
"16": {
"probability": 0.020501138952164006,
"name": "I<sup>6</sup>",
"next": {
"1": {
"probability": 0.13305322128851543,
"name": "I"
},
"2": {
"probability": 0.20028011204481794,
"name": "ii"
},
"4": {
"probability": 0.13305322128851543,
"name": "IV"
},
"6": {
"probability": 0.13305322128851543,
"name": "vi"
},
"27": {
"probability": 0.24509803921568632,
"name": "ii<sup>7</sup>"
},
"564": {
"probability": 0.1554621848739496,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
}
}
},
"5": {
"probability": 0.09424724602203181,
"name": "V",
"next": {
"1": {
"probability": 0.2647398843930636,
"name": "I",
"next": {
"2": {
"probability": 0.11452810180275715,
"name": "ii"
},
"3": {
"probability": 0.30222693531283135,
"name": "iii"
},
"4": {
"probability": 0.08589607635206786,
"name": "IV"
},
"5": {
"probability": 0.0689289501590668,
"name": "V"
},
"6": {
"probability": 0.4050901378579003,
"name": "vi"
},
"5/5": {
"probability": 0.023329798515376456,
"name": "V/V"
}
}
},
"2": {
"probability": 0.06936416184971098,
"name": "ii",
"next": {
"3": {
"probability": 0.14585414585414586,
"name": "iii"
},
"4": {
"probability": 0.2707292707292708,
"name": "IV"
},
"5": {
"probability": 0.06293706293706294,
"name": "V"
},
"6": {
"probability": 0.37462537462537465,
"name": "vi"
},
"16": {
"probability": 0.06293706293706294,
"name": "I<sup>6</sup>"
},
"37": {
"probability": 0.08291708291708293,
"name": "iii<sup>7</sup>"
}
}
},
"3": {
"probability": 0.07861271676300578,
"name": "iii",
"next": {
"4": {
"probability": 0.15784215784215785,
"name": "IV"
},
"5": {
"probability": 0.6313686313686314,
"name": "V"
},
"6": {
"probability": 0.2107892107892108,
"name": "vi"
}
}
},
"4": {
"probability": 0.15838150289017341,
"name": "IV",
"next": {
"1": {
"probability": 0.32056451612903225,
"name": "I"
},
"2": {
"probability": 0.08266129032258064,
"name": "ii"
},
"3": {
"probability": 0.16532258064516128,
"name": "iii"
},
"5": {
"probability": 0.19254032258064516,
"name": "V"
},
"6": {
"probability": 0.18346774193548385,
"name": "vi"
},
"16": {
"probability": 0.05544354838709677,
"name": "I<sup>6</sup>"
}
}
},
"6": {
"probability": 0.3988439306358381,
"name": "vi",
"next": {
"1": {
"probability": 0.16200466200466201,
"name": "I"
},
"2": {
"probability": 0.05827505827505827,
"name": "ii"
},
"3": {
"probability": 0.4207459207459207,
"name": "iii"
},
"4": {
"probability": 0.17948717948717946,
"name": "IV"
},
"5": {
"probability": 0.12937062937062935,
"name": "V"
},
"66": {
"probability": 0.050116550116550106,
"name": "vi<sup>6</sup>"
}
}
},
"Y6": {
"probability": 0.03005780346820809,
"name": "&#9837;VI",
"next": {
"6": {
"probability": 1,
"name": "vi"
}
}
}
}
},
"6": {
"probability": 0.32313341493268055,
"name": "vi",
"next": {
"1": {
"probability": 0.09615384615384616,
"name": "I",
"next": {
"2": {
"probability": 0.16119096509240247,
"name": "ii"
},
"3": {
"probability": 0.21560574948665298,
"name": "iii"
},
"4": {
"probability": 0.27823408624229984,
"name": "IV"
},
"5": {
"probability": 0.21047227926078027,
"name": "V"
},
"6": {
"probability": 0.10780287474332649,
"name": "vi"
},
"47": {
"probability": 0.026694045174537988,
"name": "IV<sup>7</sup>"
}
}
},
"2": {
"probability": 0.18629807692307693,
"name": "ii",
"next": {
"1": {
"probability": 0.1165452653485952,
"name": "I"
},
"3": {
"probability": 0.1446409989594173,
"name": "iii"
},
"4": {
"probability": 0.056191467221644115,
"name": "IV"
},
"5": {
"probability": 0.4630593132154006,
"name": "V"
},
"6": {
"probability": 0.2060353798126951,
"name": "vi"
},
"16": {
"probability": 0.013527575442247657,
"name": "I<sup>6</sup>"
}
}
},
"3": {
"probability": 0.1826923076923077,
"name": "iii",
"next": {
"1": {
"probability": 0.051336898395721926,
"name": "I"
},
"2": {
"probability": 0.07593582887700534,
"name": "ii"
},
"4": {
"probability": 0.2096256684491979,
"name": "IV"
},
"5": {
"probability": 0.07593582887700534,
"name": "V"
},
"6": {
"probability": 0.5497326203208557,
"name": "vi"
},
"47": {
"probability": 0.03743315508021391,
"name": "IV<sup>7</sup>"
}
}
},
"4": {
"probability": 0.2692307692307693,
"name": "IV",
"next": {
"1": {
"probability": 0.2363050483351235,
"name": "I"
},
"2": {
"probability": 0.059076262083780876,
"name": "ii"
},
"3": {
"probability": 0.12889366272824918,
"name": "iii"
},
"5": {
"probability": 0.5456498388829216,
"name": "V"
},
"27": {
"probability": 0.015037593984962405,
"name": "ii<sup>7</sup>"
},
"57": {
"probability": 0.015037593984962405,
"name": "V<sup>7</sup>"
}
}
},
"5": {
"probability": 0.24639423076923075,
"name": "V",
"next": {
"1": {
"probability": 0.202991452991453,
"name": "I"
},
"2": {
"probability": 0.06623931623931624,
"name": "ii"
},
"3": {
"probability": 0.10576923076923077,
"name": "iii"
},
"4": {
"probability": 0.532051282051282,
"name": "IV"
},
"6": {
"probability": 0.07051282051282051,
"name": "vi"
},
"47": {
"probability": 0.022435897435897436,
"name": "IV<sup>7</sup>"
}
}
},
"56": {
"probability": 0.019230769230769232,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.733,
"name": "I"
},
"4": {
"probability": 0.067,
"name": "IV"
},
"5": {
"probability": 0.067,
"name": "V"
},
"66": {
"probability": 0.133,
"name": "vi<sup>6</sup>"
}
}
}
}
},
"47": {
"probability": 0.024479804161566705,
"name": "IV<sup>7</sup>",
"next": {
"1": {
"probability": 0.06844106463878326,
"name": "I",
"next": {
"5": {
"probability": 1,
"name": "V"
}
}
},
"3": {
"probability": 0.3802281368821292,
"name": "iii",
"next": {
"1": {
"probability": 0.04963805584281282,
"name": "I"
},
"2": {
"probability": 0.06721820062047569,
"name": "ii"
},
"5": {
"probability": 0.04963805584281282,
"name": "V"
},
"6": {
"probability": 0.14994829369183038,
"name": "vi"
},
"47": {
"probability": 0.6339193381592554,
"name": "IV<sup>7</sup>"
},
"67": {
"probability": 0.04963805584281282,
"name": "vi<sup>7</sup>"
}
}
},
"4": {
"probability": 0.03422053231939163,
"name": "IV",
"next": {
"47": {
"probability": 1,
"name": "IV<sup>7</sup>"
}
}
},
"5": {
"probability": 0.4524714828897337,
"name": "V",
"next": {
"1": {
"probability": 0.042,
"name": "I"
},
"2": {
"probability": 0.127,
"name": "ii"
},
"6": {
"probability": 0.521,
"name": "vi"
},
"46": {
"probability": 0.014,
"name": "IV<sup>6</sup>"
},
"67": {
"probability": 0.282,
"name": "vi<sup>7</sup>"
},
"56/6": {
"probability": 0.014,
"name": "V<sup>6</sup>/vi"
}
}
},
"67": {
"probability": 0.03422053231939163,
"name": "vi<sup>7</sup>",
"next": {
"D77": {
"probability": 1,
"name": "&#9837;VII<sup>7</sup>"
}
}
},
"443": {
"probability": 0.03041825095057034,
"name": "IV<sup>4</sup><sub>3</sub>",
"next": {
"5": {
"probability": 1,
"name": "V"
}
}
}
}
}
}
},
"4": {
"probability": 0.22015503875968986,
"name": "IV",
"next": {
"1": {
"probability": 0.3607990012484394,
"name": "I",
"next": {
"2": {
"probability": 0.06045949214026602,
"name": "ii",
"next": {
"1": {
"probability": 0.04591265397536394,
"name": "I"
},
"3": {
"probability": 0.10862262038073908,
"name": "iii"
},
"4": {
"probability": 0.11534154535274355,
"name": "IV"
},
"5": {
"probability": 0.1634938409854423,
"name": "V"
},
"6": {
"probability": 0.5240761478163494,
"name": "vi"
},
"16": {
"probability": 0.0425531914893617,
"name": "I<sup>6</sup>"
}
}
},
"3": {
"probability": 0.03748488512696493,
"name": "iii",
"next": {
"1": {
"probability": 0.02421052631578947,
"name": "I"
},
"2": {
"probability": 0.03263157894736842,
"name": "ii"
},
"4": {
"probability": 0.3831578947368421,
"name": "IV"
},
"5": {
"probability": 0.0831578947368421,
"name": "V"
},
"6": {
"probability": 0.4610526315789473,
"name": "vi"
},
"M6": {
"probability": 0.015789473684210523,
"name": "vi"
}
}
},
"4": {
"probability": 0.19226118500604594,
"name": "IV",
"next": {
"1": {
"probability": 0.6181410974244121,
"name": "I"
},
"2": {
"probability": 0.020156774916013438,
"name": "ii"
},
"5": {
"probability": 0.21500559910414332,
"name": "V"
},
"6": {
"probability": 0.09406494960806272,
"name": "vi"
},
"16": {
"probability": 0.03807390817469205,
"name": "I<sup>6</sup>"
},
"b7": {
"probability": 0.01455767077267637,
"name": "&#9837;VII"
}
}
},
"5": {
"probability": 0.532043530834341,
"name": "V",
"next": {
"1": {
"probability": 0.13852813852813853,
"name": "I"
},
"2": {
"probability": 0.10281385281385282,
"name": "ii"
},
"4": {
"probability": 0.24783549783549783,
"name": "IV"
},
"6": {
"probability": 0.47619047619047616,
"name": "vi"
},
"67": {
"probability": 0.0183982683982684,
"name": "vi<sup>7</sup>"
},
"b7": {
"probability": 0.016233766233766232,
"name": "&#9837;VII"
}
}
},
"6": {
"probability": 0.1354292623941959,
"name": "vi",
"next": {
"1": {
"probability": 0.07553191489361702,
"name": "I"
},
"2": {
"probability": 0.030851063829787237,
"name": "ii"
},
"3": {
"probability": 0.0872340425531915,
"name": "iii"
},
"4": {
"probability": 0.3393617021276596,
"name": "IV"
},
"5": {
"probability": 0.4265957446808511,
"name": "V"
},
"5/6": {
"probability": 0.04042553191489362,
"name": "V/vi"
}
}
},
"56": {
"probability": 0.04232164449818621,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.02449414270500532,
"name": "I"
},
"2": {
"probability": 0.050053248136315225,
"name": "ii"
},
"4": {
"probability": 0.19382321618743342,
"name": "IV"
},
"5": {
"probability": 0.05431309904153354,
"name": "V"
},
"6": {
"probability": 0.6400425985090521,
"name": "vi"
},
"46": {
"probability": 0.03727369542066028,
"name": "IV<sup>6</sup>"
}
}
}
}
},
"2": {
"probability": 0.0599250936329588,
"name": "ii",
"next": {
"1": {
"probability": 0.12853773584905662,
"name": "I",
"next": {
"3": {
"probability": 0.06883116883116883,
"name": "iii"
},
"4": {
"probability": 0.1896103896103896,
"name": "IV"
},
"5": {
"probability": 0.3792207792207792,
"name": "V"
},
"6": {
"probability": 0.24675324675324675,
"name": "vi"
},
"b7": {
"probability": 0.08051948051948052,
"name": "&#9837;VII"
},
"b56": {
"probability": 0.03506493506493506,
"name": "v<sup>6</sup>"
}
}
},
"3": {
"probability": 0.11910377358490569,
"name": "iii",
"next": {
"1": {
"probability": 0.1352757544224766,
"name": "I"
},
"2": {
"probability": 0.035379812695109265,
"name": "ii"
},
"4": {
"probability": 0.3100936524453694,
"name": "IV"
},
"5": {
"probability": 0.07492195629552549,
"name": "V"
},
"6": {
"probability": 0.4297606659729448,
"name": "vi"
},
"7/6": {
"probability": 0.014568158168574402,
"name": "vii&deg;/vi"
}
}
},
"4": {
"probability": 0.12146226415094341,
"name": "IV",
"next": {
"1": {
"probability": 0.11964873765093303,
"name": "I"
},
"2": {
"probability": 0.3260153677277717,
"name": "ii"
},
"3": {
"probability": 0.09769484083424806,
"name": "iii"
},
"5": {
"probability": 0.2502744237102086,
"name": "V"
},
"6": {
"probability": 0.141602634467618,
"name": "vi"
},
"5/6": {
"probability": 0.06476399560922064,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.24174528301886794,
"name": "V",
"next": {
"1": {
"probability": 0.2955555555555556,
"name": "I"
},
"2": {
"probability": 0.024444444444444446,
"name": "ii"
},
"3": {
"probability": 0.06777777777777778,
"name": "iii"
},
"4": {
"probability": 0.08666666666666667,
"name": "IV"
},
"6": {
"probability": 0.45555555555555555,
"name": "vi"
},
"7/6": {
"probability": 0.07,
"name": "vii&deg;/vi"
}
}
},
"6": {
"probability": 0.2959905660377359,
"name": "vi",
"next": {
"1": {
"probability": 0.24289099526066346,
"name": "I"
},
"4": {
"probability": 0.24999999999999997,
"name": "IV"
},
"5": {
"probability": 0.3412322274881516,
"name": "V"
},
"56": {
"probability": 0.06872037914691943,
"name": "V<sup>6</sup>"
},
"66": {
"probability": 0.048578199052132696,
"name": "vi<sup>6</sup>"
},
"664": {
"probability": 0.048578199052132696,
"name": "vi<sup>6</sup><sub>4</sub>"
}
}
},
"5/6": {
"probability": 0.09316037735849059,
"name": "V/vi",
"next": {
"2": {
"probability": 0.05405405405405404,
"name": "ii"
},
"3": {
"probability": 0.019750519750519745,
"name": "iii"
},
"4": {
"probability": 0.14760914760914756,
"name": "IV"
},
"6": {
"probability": 0.6912681912681912,
"name": "vi"
},
"37": {
"probability": 0.040540540540540536,
"name": "iii<sup>7</sup>"
},
"56/6": {
"probability": 0.046777546777546766,
"name": "V<sup>6</sup>/vi"
}
}
}
}
},
"3": {
"probability": 0.05493133583021223,
"name": "iii",
"next": {
"1": {
"probability": 0.06329113924050633,
"name": "I",
"next": {
"2": {
"probability": 0.21685393258426963,
"name": "ii"
},
"3": {
"probability": 0.09325842696629212,
"name": "iii"
},
"4": {
"probability": 0.16516853932584266,
"name": "IV"
},
"5": {
"probability": 0.20561797752808986,
"name": "V"
},
"6": {
"probability": 0.24719101123595502,
"name": "vi"
},
"56": {
"probability": 0.07191011235955055,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.2474108170310702,
"name": "ii",
"next": {
"1": {
"probability": 0.25361512791991103,
"name": "I"
},
"3": {
"probability": 0.13793103448275862,
"name": "iii"
},
"4": {
"probability": 0.1557285873192436,
"name": "IV"
},
"5": {
"probability": 0.28031145717463846,
"name": "V"
},
"6": {
"probability": 0.14015572858731923,
"name": "vi"
},
"5/6": {
"probability": 0.03225806451612903,
"name": "V/vi"
}
}
},
"4": {
"probability": 0.24971231300345226,
"name": "IV",
"next": {
"1": {
"probability": 0.10599571734475374,
"name": "I"
},
"3": {
"probability": 0.47965738758029974,
"name": "iii"
},
"5": {
"probability": 0.310492505353319,
"name": "V"
},
"6": {
"probability": 0.05139186295503212,
"name": "vi"
},
"16": {
"probability": 0.029978586723768734,
"name": "I<sup>6</sup>"
},
"b6": {
"probability": 0.022483940042826552,
"name": "&#9837;VI"
}
}
},
"5": {
"probability": 0.09205983889528194,
"name": "V",
"next": {
"1": {
"probability": 0.17491749174917492,
"name": "I"
},
"2": {
"probability": 0.0627062706270627,
"name": "ii"
},
"3": {
"probability": 0.0836083608360836,
"name": "iii"
},
"4": {
"probability": 0.17491749174917492,
"name": "IV"
},
"6": {
"probability": 0.4829482948294829,
"name": "vi"
},
"7": {
"probability": 0.0209020902090209,
"name": "vii&deg;"
}
}
},
"6": {
"probability": 0.31990794016110474,
"name": "vi",
"next": {
"1": {
"probability": 0.12996389891696752,
"name": "I"
},
"2": {
"probability": 0.11191335740072203,
"name": "ii"
},
"3": {
"probability": 0.03249097472924188,
"name": "iii"
},
"4": {
"probability": 0.246690734055355,
"name": "IV"
},
"5": {
"probability": 0.4464500601684717,
"name": "V"
},
"56": {
"probability": 0.03249097472924188,
"name": "V<sup>6</sup>"
}
}
},
"27": {
"probability": 0.027617951668584582,
"name": "ii<sup>7</sup>",
"next": {
"1": {
"probability": 0.30712530712530717,
"name": "I"
},
"3": {
"probability": 0.230958230958231,
"name": "iii"
},
"4": {
"probability": 0.07739557739557741,
"name": "IV"
},
"5": {
"probability": 0.15356265356265358,
"name": "V"
},
"17": {
"probability": 0.07739557739557741,
"name": "I<sup>7</sup>"
},
"57": {
"probability": 0.15356265356265358,
"name": "V<sup>7</sup>"
}
}
}
}
},
"5": {
"probability": 0.35955056179775274,
"name": "V",
"next": {
"1": {
"probability": 0.31941309255079,
"name": "I",
"next": {
"2": {
"probability": 0.06241872561768529,
"name": "ii"
},
"3": {
"probability": 0.045513654096228866,
"name": "iii"
},
"4": {
"probability": 0.35500650195058514,
"name": "IV"
},
"5": {
"probability": 0.2535760728218465,
"name": "V"
},
"6": {
"probability": 0.21976592977893367,
"name": "vi"
},
"56": {
"probability": 0.0637191157347204,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.051918735891647846,
"name": "ii",
"next": {
"1": {
"probability": 0.09539842873176209,
"name": "I"
},
"3": {
"probability": 0.2177328843995511,
"name": "iii"
},
"4": {
"probability": 0.3535353535353536,
"name": "IV"
},
"5": {
"probability": 0.0415263748597082,
"name": "V"
},
"6": {
"probability": 0.26936026936026936,
"name": "vi"
},
"5/6": {
"probability": 0.022446689113355782,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.07674943566591422,
"name": "iii",
"next": {
"1": {
"probability": 0.011714589989350373,
"name": "I"
},
"4": {
"probability": 0.2129925452609159,
"name": "IV"
},
"5": {
"probability": 0.014909478168264111,
"name": "V"
},
"6": {
"probability": 0.7326943556975506,
"name": "vi"
},
"67": {
"probability": 0.019169329073482427,
"name": "vi<sup>7</sup>"
},
"5/6": {
"probability": 0.008519701810436636,
"name": "V/vi"
}
}
},
"4": {
"probability": 0.1252821670428894,
"name": "IV",
"next": {
"1": {
"probability": 0.22666666666666666,
"name": "I"
},
"2": {
"probability": 0.03111111111111111,
"name": "ii"
},
"3": {
"probability": 0.07888888888888888,
"name": "iii"
},
"5": {
"probability": 0.5677777777777778,
"name": "V"
},
"6": {
"probability": 0.057777777777777775,
"name": "vi"
},
"16": {
"probability": 0.03777777777777778,
"name": "I<sup>6</sup>"
}
}
},
"6": {
"probability": 0.4085778781038374,
"name": "vi",
"next": {
"1": {
"probability": 0.1937888198757764,
"name": "I"
},
"2": {
"probability": 0.044720496894409933,
"name": "ii"
},
"3": {
"probability": 0.10062111801242236,
"name": "iii"
},
"4": {
"probability": 0.3540372670807453,
"name": "IV"
},
"5": {
"probability": 0.27080745341614904,
"name": "V"
},
"16": {
"probability": 0.03602484472049689,
"name": "I<sup>6</sup>"
}
}
},
"67": {
"probability": 0.01805869074492099,
"name": "vi<sup>7</sup>",
"next": {
"1": {
"probability": 0.1820615796519411,
"name": "I"
},
"4": {
"probability": 0.500669344042838,
"name": "IV"
},
"5": {
"probability": 0.10843373493975904,
"name": "V"
},
"6": {
"probability": 0.060240963855421686,
"name": "vi"
},
"27": {
"probability": 0.04685408299866132,
"name": "ii<sup>7</sup>"
},
"37": {
"probability": 0.10174029451137885,
"name": "iii<sup>7</sup>"
}
}
}
}
},
"6": {
"probability": 0.1198501872659176,
"name": "vi",
"next": {
"1": {
"probability": 0.19647058823529412,
"name": "I",
"next": {
"2": {
"probability": 0.09978308026030368,
"name": "ii"
},
"3": {
"probability": 0.10954446854663774,
"name": "iii"
},
"4": {
"probability": 0.2754880694143167,
"name": "IV"
},
"5": {
"probability": 0.46095444685466375,
"name": "V"
},
"6": {
"probability": 0.04013015184381778,
"name": "vi"
},
"57": {
"probability": 0.014099783080260303,
"name": "V<sup>7</sup>"
}
}
},
"2": {
"probability": 0.041176470588235294,
"name": "ii",
"next": {
"1": {
"probability": 0.23732251521298173,
"name": "I"
},
"3": {
"probability": 0.04158215010141988,
"name": "iii"
},
"4": {
"probability": 0.16835699797160242,
"name": "IV"
},
"5": {
"probability": 0.3843813387423935,
"name": "V"
},
"6": {
"probability": 0.13995943204868153,
"name": "vi"
},
"b7": {
"probability": 0.02839756592292089,
"name": "&#9837;VII"
}
}
},
"3": {
"probability": 0.04941176470588235,
"name": "iii",
"next": {
"2": {
"probability": 0.03983656792645556,
"name": "ii"
},
"4": {
"probability": 0.7722165474974463,
"name": "IV"
},
"5": {
"probability": 0.13585291113381,
"name": "V"
},
"6": {
"probability": 0.017364657814096015,
"name": "vi"
},
"5/5": {
"probability": 0.017364657814096015,
"name": "V/V"
},
"M5": {
"probability": 0.017364657814096015,
"name": "v"
}
}
},
"4": {
"probability": 0.1564705882352941,
"name": "IV",
"next": {
"1": {
"probability": 0.23875802997858672,
"name": "I"
},
"2": {
"probability": 0.03961456102783725,
"name": "ii"
},
"3": {
"probability": 0.03640256959314775,
"name": "iii"
},
"5": {
"probability": 0.1552462526766595,
"name": "V"
},
"6": {
"probability": 0.5139186295503212,
"name": "vi"
},
"L4": {
"probability": 0.016059957173447537,
"name": "&#9839;iv&deg;"
}
}
},
"5": {
"probability": 0.536470588235294,
"name": "V",
"next": {
"1": {
"probability": 0.29185022026431723,
"name": "I"
},
"2": {
"probability": 0.10022026431718062,
"name": "ii"
},
"3": {
"probability": 0.09361233480176213,
"name": "iii"
},
"4": {
"probability": 0.3997797356828194,
"name": "IV"
},
"6": {
"probability": 0.09140969162995596,
"name": "vi"
},
"16": {
"probability": 0.02312775330396476,
"name": "I<sup>6</sup>"
}
}
},
"56": {
"probability": 0.02,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.595190380761523,
"name": "I"
},
"2": {
"probability": 0.13026052104208416,
"name": "ii"
},
"4": {
"probability": 0.10120240480961924,
"name": "IV"
},
"5": {
"probability": 0.11623246492985972,
"name": "V"
},
"16": {
"probability": 0.04308617234468937,
"name": "I<sup>6</sup>"
},
"342": {
"probability": 0.014028056112224449,
"name": "iii<sup>4</sup><sub>2</sub>"
}
}
}
}
},
"16": {
"probability": 0.04494382022471909,
"name": "I<sup>6</sup>",
"next": {
"1": {
"probability": 0.1925064599483204,
"name": "I",
"next": {
"2": {
"probability": 0.1029940119760479,
"name": "ii"
},
"4": {
"probability": 0.3005988023952096,
"name": "IV"
},
"5": {
"probability": 0.18203592814371258,
"name": "V"
},
"16": {
"probability": 0.08862275449101796,
"name": "I<sup>6</sup>"
},
"56": {
"probability": 0.1976047904191617,
"name": "V<sup>6</sup>"
},
"564": {
"probability": 0.1281437125748503,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
},
"2": {
"probability": 0.22351421188630488,
"name": "ii",
"next": {
"1": {
"probability": 0.3956834532374101,
"name": "I"
},
"4": {
"probability": 0.07074340527577938,
"name": "IV"
},
"5": {
"probability": 0.18705035971223022,
"name": "V"
},
"6": {
"probability": 0.04916067146282974,
"name": "vi"
},
"16": {
"probability": 0.22661870503597123,
"name": "I<sup>6</sup>"
},
"464": {
"probability": 0.07074340527577938,
"name": "IV<sup>6</sup><sub>4</sub>"
}
}
},
"4": {
"probability": 0.2054263565891473,
"name": "IV",
"next": {
"1": {
"probability": 0.18626309662398133,
"name": "I"
},
"2": {
"probability": 0.06868451688009311,
"name": "ii"
},
"3": {
"probability": 0.054714784633294516,
"name": "iii"
},
"5": {
"probability": 0.2677532013969732,
"name": "V"
},
"6": {
"probability": 0.054714784633294516,
"name": "vi"
},
"16": {
"probability": 0.3678696158323631,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.11369509043927647,
"name": "V",
"next": {
"1": {
"probability": 0.2475355969331873,
"name": "I"
},
"2": {
"probability": 0.09638554216867469,
"name": "ii"
},
"4": {
"probability": 0.18400876232201535,
"name": "IV"
},
"6": {
"probability": 0.3198247535596933,
"name": "vi"
},
"67": {
"probability": 0.048192771084337345,
"name": "vi<sup>7</sup>"
},
"56/5": {
"probability": 0.104052573932092,
"name": "V<sup>6</sup>/V"
}
}
},
"6": {
"probability": 0.049095607235142114,
"name": "vi",
"next": {
"2": {
"probability": 0.19129287598944592,
"name": "ii"
},
"5": {
"probability": 0.19129287598944592,
"name": "V"
},
"7": {
"probability": 0.12796833773087074,
"name": "vii&deg;"
},
"27": {
"probability": 0.19129287598944592,
"name": "ii<sup>7</sup>"
},
"164": {
"probability": 0.10686015831134567,
"name": "I<sup>6</sup><sub>4</sub>"
},
"642": {
"probability": 0.19129287598944592,
"name": "vi<sup>4</sup><sub>2</sub>"
}
}
},
"27": {
"probability": 0.2157622739018088,
"name": "ii<sup>7</sup>",
"next": {
"1": {
"probability": 0.29449423815620995,
"name": "I"
},
"4": {
"probability": 0.05761843790012803,
"name": "IV"
},
"5": {
"probability": 0.41101152368758,
"name": "V"
},
"6": {
"probability": 0.048655569782330335,
"name": "vi"
},
"16": {
"probability": 0.04353393085787451,
"name": "I<sup>6</sup>"
},
"57": {
"probability": 0.14468629961587706,
"name": "V<sup>7</sup>"
}
}
}
}
}
}
},
"5": {
"probability": 0.21240310077519378,
"name": "V",
"next": {
"1": {
"probability": 0.26375,
"name": "I",
"next": {
"2": {
"probability": 0.08090185676392572,
"name": "ii",
"next": {
"1": {
"probability": 0.10714285714285715,
"name": "I"
},
"3": {
"probability": 0.2821428571428572,
"name": "iii"
},
"4": {
"probability": 0.20476190476190478,
"name": "IV"
},
"5": {
"probability": 0.10000000000000002,
"name": "V"
},
"6": {
"probability": 0.21309523809523812,
"name": "vi"
},
"16": {
"probability": 0.09285714285714287,
"name": "I<sup>6</sup>"
}
}
},
"3": {
"probability": 0.05305039787798409,
"name": "iii",
"next": {
"1": {
"probability": 0.04474505723204993,
"name": "I"
},
"2": {
"probability": 0.05619146722164411,
"name": "ii"
},
"4": {
"probability": 0.47034339229968775,
"name": "IV"
},
"5": {
"probability": 0.10926118626430799,
"name": "V"
},
"6": {
"probability": 0.2924037460978147,
"name": "vi"
},
"36": {
"probability": 0.02705515088449531,
"name": "iii<sup>6</sup>"
}
}
},
"4": {
"probability": 0.37135278514588865,
"name": "IV",
"next": {
"1": {
"probability": 0.28688524590163933,
"name": "I"
},
"2": {
"probability": 0.0667447306791569,
"name": "ii"
},
"3": {
"probability": 0.025761124121779857,
"name": "iii"
},
"5": {
"probability": 0.4121779859484777,
"name": "V"
},
"6": {
"probability": 0.17447306791569084,
"name": "vi"
},
"16": {
"probability": 0.033957845433255265,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.2546419098143236,
"name": "V",
"next": {
"1": {
"probability": 0.3125695216907675,
"name": "I"
},
"2": {
"probability": 0.020022246941045603,
"name": "ii"
},
"3": {
"probability": 0.017797552836484983,
"name": "iii"
},
"4": {
"probability": 0.3581757508342603,
"name": "IV"
},
"6": {
"probability": 0.27363737486095663,
"name": "vi"
},
"67": {
"probability": 0.017797552836484983,
"name": "vi<sup>7</sup>"
}
}
},
"6": {
"probability": 0.16843501326259946,
"name": "vi",
"next": {
"1": {
"probability": 0.040570175438596486,
"name": "I"
},
"2": {
"probability": 0.17982456140350878,
"name": "ii"
},
"3": {
"probability": 0.08771929824561403,
"name": "iii"
},
"4": {
"probability": 0.4857456140350877,
"name": "IV"
},
"5": {
"probability": 0.16337719298245612,
"name": "V"
},
"27": {
"probability": 0.04276315789473684,
"name": "ii<sup>7</sup>"
}
}
},
"56": {
"probability": 0.07161803713527852,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.022950819672131147,
"name": "I"
},
"4": {
"probability": 0.07213114754098361,
"name": "IV"
},
"5": {
"probability": 0.0273224043715847,
"name": "V"
},
"6": {
"probability": 0.6983606557377049,
"name": "vi"
},
"46": {
"probability": 0.08087431693989071,
"name": "IV<sup>6</sup>"
},
"67": {
"probability": 0.09836065573770492,
"name": "vi<sup>7</sup>"
}
}
}
}
},
"2": {
"probability": 0.08,
"name": "ii",
"next": {
"1": {
"probability": 0.17191011235955056,
"name": "I",
"next": {
"2": {
"probability": 0.0967391304347826,
"name": "ii"
},
"3": {
"probability": 0.03260869565217391,
"name": "iii"
},
"4": {
"probability": 0.10760869565217392,
"name": "IV"
},
"5": {
"probability": 0.5771739130434783,
"name": "V"
},
"6": {
"probability": 0.16195652173913042,
"name": "vi"
},
"b7": {
"probability": 0.023913043478260867,
"name": "&#9837;VII"
}
}
},
"3": {
"probability": 0.08089887640449438,
"name": "iii",
"next": {
"2": {
"probability": 0.016789087093389297,
"name": "ii"
},
"4": {
"probability": 0.8079748163693599,
"name": "IV"
},
"6": {
"probability": 0.09338929695697795,
"name": "vi"
},
"47": {
"probability": 0.03252885624344176,
"name": "IV<sup>7</sup>"
},
"165": {
"probability": 0.03252885624344176,
"name": "I<sup>6</sup><sub>5</sub>"
},
"364": {
"probability": 0.016789087093389297,
"name": "iii<sup>6</sup><sub>4</sub>"
}
}
},
"4": {
"probability": 0.37865168539325844,
"name": "IV",
"next": {
"1": {
"probability": 0.5240585774058577,
"name": "I"
},
"2": {
"probability": 0.019874476987447695,
"name": "ii"
},
"3": {
"probability": 0.030334728033472803,
"name": "iii"
},
"5": {
"probability": 0.2395397489539749,
"name": "V"
},
"6": {
"probability": 0.16841004184100417,
"name": "vi"
},
"67": {
"probability": 0.01778242677824268,
"name": "vi<sup>7</sup>"
}
}
},
"5": {
"probability": 0.11797752808988764,
"name": "V",
"next": {
"1": {
"probability": 0.20685959271168275,
"name": "I"
},
"2": {
"probability": 0.5359056806002144,
"name": "ii"
},
"4": {
"probability": 0.07502679528403002,
"name": "IV"
},
"6": {
"probability": 0.10289389067524116,
"name": "vi"
},
"67": {
"probability": 0.05144694533762058,
"name": "vi<sup>7</sup>"
},
"b7": {
"probability": 0.027867095391211145,
"name": "&#9837;VII"
}
}
},
"6": {
"probability": 0.23707865168539324,
"name": "vi",
"next": {
"1": {
"probability": 0.40796555435952636,
"name": "I"
},
"2": {
"probability": 0.05166846071044133,
"name": "ii"
},
"3": {
"probability": 0.03767491926803014,
"name": "iii"
},
"4": {
"probability": 0.3110871905274488,
"name": "IV"
},
"5": {
"probability": 0.1743810548977395,
"name": "V"
},
"47": {
"probability": 0.017222820236813777,
"name": "IV<sup>7</sup>"
}
}
},
"16": {
"probability": 0.01348314606741573,
"name": "I<sup>6</sup>",
"next": {
"4": {
"probability": 0.7929465301478954,
"name": "IV"
},
"56": {
"probability": 0.10352673492605234,
"name": "V<sup>6</sup>"
},
"b4": {
"probability": 0.10352673492605234,
"name": "iv"
}
}
}
}
},
"3": {
"probability": 0.049999999999999996,
"name": "iii",
"next": {
"1": {
"probability": 0.034444444444444444,
"name": "I",
"next": {
"2": {
"probability": 0.06561085972850679,
"name": "ii"
},
"4": {
"probability": 0.2171945701357466,
"name": "IV"
},
"6": {
"probability": 0.36990950226244346,
"name": "vi"
},
"66": {
"probability": 0.13009049773755657,
"name": "vi<sup>6</sup>"
},
"364": {
"probability": 0.08710407239819004,
"name": "iii<sup>6</sup><sub>4</sub>"
},
"5/3": {
"probability": 0.13009049773755657,
"name": "V/iii"
}
}
},
"2": {
"probability": 0.03333333333333333,
"name": "ii",
"next": {
"1": {
"probability": 0.3126873126873127,
"name": "I"
},
"3": {
"probability": 0.1248751248751249,
"name": "iii"
},
"4": {
"probability": 0.2287712287712288,
"name": "IV"
},
"5": {
"probability": 0.06293706293706294,
"name": "V"
},
"6": {
"probability": 0.2497502497502498,
"name": "vi"
},
"57/6": {
"probability": 0.020979020979020983,
"name": "V<sup>7</sup>/vi"
}
}
},
"4": {
"probability": 0.3277777777777778,
"name": "IV",
"next": {
"1": {
"probability": 0.10250817884405672,
"name": "I"
},
"2": {
"probability": 0.12649945474372956,
"name": "ii"
},
"3": {
"probability": 0.07742639040348964,
"name": "iii"
},
"5": {
"probability": 0.276990185387132,
"name": "V"
},
"6": {
"probability": 0.4034896401308615,
"name": "vi"
},
"56/5": {
"probability": 0.013086150490730645,
"name": "V<sup>6</sup>/V"
}
}
},
"5": {
"probability": 0.05333333333333333,
"name": "V",
"next": {
"1": {
"probability": 0.19980019980019983,
"name": "I"
},
"2": {
"probability": 0.03796203796203797,
"name": "ii"
},
"3": {
"probability": 0.14985014985014986,
"name": "iii"
},
"6": {
"probability": 0.2997002997002997,
"name": "vi"
},
"Y6": {
"probability": 0.2747252747252748,
"name": "&#9837;VI"
},
"M2": {
"probability": 0.03796203796203797,
"name": "ii"
}
}
},
"6": {
"probability": 0.5244444444444444,
"name": "vi",
"next": {
"1": {
"probability": 0.08773903262092238,
"name": "I"
},
"2": {
"probability": 0.2890888638920135,
"name": "ii"
},
"3": {
"probability": 0.0281214848143982,
"name": "iii"
},
"4": {
"probability": 0.3959505061867266,
"name": "IV"
},
"5": {
"probability": 0.17772778402699663,
"name": "V"
},
"5/5": {
"probability": 0.02137232845894263,
"name": "V/V"
}
}
},
"67": {
"probability": 0.026666666666666665,
"name": "vi<sup>7</sup>",
"next": {
"3": {
"probability": 0.048,
"name": "iii"
},
"4": {
"probability": 0.357,
"name": "IV"
},
"5": {
"probability": 0.167,
"name": "V"
},
"6": {
"probability": 0.071,
"name": "vi"
},
"27": {
"probability": 0.143,
"name": "ii<sup>7</sup>"
},
"57/4": {
"probability": 0.214,
"name": "V<sup>7</sup>/IV"
}
}
}
}
},
"4": {
"probability": 0.25625,
"name": "IV",
"next": {
"1": {
"probability": 0.35314685314685307,
"name": "I",
"next": {
"2": {
"probability": 0.035754189944134075,
"name": "ii"
},
"4": {
"probability": 0.14860335195530727,
"name": "IV"
},
"5": {
"probability": 0.5743016759776536,
"name": "V"
},
"6": {
"probability": 0.19441340782122904,
"name": "vi"
},
"56": {
"probability": 0.024581005586592177,
"name": "V<sup>6</sup>"
},
"b7": {
"probability": 0.0223463687150838,
"name": "&#9837;VII"
}
}
},
"2": {
"probability": 0.0571095571095571,
"name": "ii",
"next": {
"1": {
"probability": 0.24586549062844543,
"name": "I"
},
"3": {
"probability": 0.09151047409040794,
"name": "iii"
},
"4": {
"probability": 0.08379272326350606,
"name": "IV"
},
"5": {
"probability": 0.18412348401323045,
"name": "V"
},
"6": {
"probability": 0.35170893054024255,
"name": "vi"
},
"5/6": {
"probability": 0.04299889746416758,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.07808857808857808,
"name": "iii",
"next": {
"1": {
"probability": 0.07927519818799547,
"name": "I"
},
"2": {
"probability": 0.24462061155152887,
"name": "ii"
},
"4": {
"probability": 0.21517553793884484,
"name": "IV"
},
"5": {
"probability": 0.09060022650056625,
"name": "V"
},
"6": {
"probability": 0.3408833522083805,
"name": "vi"
},
"464": {
"probability": 0.02944507361268403,
"name": "IV<sup>6</sup><sub>4</sub>"
}
}
},
"5": {
"probability": 0.3228438228438228,
"name": "V",
"next": {
"1": {
"probability": 0.296137339055794,
"name": "I"
},
"2": {
"probability": 0.024678111587982828,
"name": "ii"
},
"3": {
"probability": 0.04184549356223175,
"name": "iii"
},
"4": {
"probability": 0.28326180257510725,
"name": "IV"
},
"6": {
"probability": 0.34763948497854075,
"name": "vi"
},
"46": {
"probability": 0.006437768240343347,
"name": "IV<sup>6</sup>"
}
}
},
"6": {
"probability": 0.14918414918414916,
"name": "vi",
"next": {
"1": {
"probability": 0.2764830508474576,
"name": "I"
},
"2": {
"probability": 0.04025423728813559,
"name": "ii"
},
"3": {
"probability": 0.04131355932203389,
"name": "iii"
},
"4": {
"probability": 0.07627118644067796,
"name": "IV"
},
"5": {
"probability": 0.5540254237288136,
"name": "V"
},
"57/2": {
"probability": 0.011652542372881354,
"name": "V<sup>7</sup>/ii"
}
}
},
"16": {
"probability": 0.03962703962703962,
"name": "I<sup>6</sup>",
"next": {
"1": {
"probability": 0.20451843043995244,
"name": "I"
},
"2": {
"probability": 0.17717003567181927,
"name": "ii"
},
"4": {
"probability": 0.24137931034482762,
"name": "IV"
},
"5": {
"probability": 0.15695600475624258,
"name": "V"
},
"6": {
"probability": 0.08799048751486326,
"name": "vi"
},
"27": {
"probability": 0.1319857312722949,
"name": "ii<sup>7</sup>"
}
}
}
}
},
"6": {
"probability": 0.325,
"name": "vi",
"next": {
"1": {
"probability": 0.13840399002493767,
"name": "I",
"next": {
"2": {
"probability": 0.07314285714285713,
"name": "ii"
},
"3": {
"probability": 0.04571428571428571,
"name": "iii"
},
"4": {
"probability": 0.4799999999999999,
"name": "IV"
},
"5": {
"probability": 0.3062857142857143,
"name": "V"
},
"6": {
"probability": 0.047999999999999994,
"name": "vi"
},
"47": {
"probability": 0.046857142857142854,
"name": "IV<sup>7</sup>"
}
}
},
"2": {
"probability": 0.04987531172069826,
"name": "ii",
"next": {
"1": {
"probability": 0.27577937649880097,
"name": "I"
},
"3": {
"probability": 0.14028776978417265,
"name": "iii"
},
"4": {
"probability": 0.22781774580335729,
"name": "IV"
},
"5": {
"probability": 0.18105515587529974,
"name": "V"
},
"6": {
"probability": 0.11870503597122302,
"name": "vi"
},
"16": {
"probability": 0.05635491606714628,
"name": "I<sup>6</sup>"
}
}
},
"3": {
"probability": 0.0885286783042394,
"name": "iii",
"next": {
"1": {
"probability": 0.021436227224008574,
"name": "I"
},
"2": {
"probability": 0.03858520900321543,
"name": "ii"
},
"4": {
"probability": 0.652733118971061,
"name": "IV"
},
"5": {
"probability": 0.13076098606645228,
"name": "V"
},
"6": {
"probability": 0.12540192926045016,
"name": "vi"
},
"47": {
"probability": 0.031082529474812434,
"name": "IV<sup>7</sup>"
}
}
},
"4": {
"probability": 0.43890274314214467,
"name": "IV",
"next": {
"1": {
"probability": 0.5585774058577406,
"name": "I"
},
"2": {
"probability": 0.038702928870292884,
"name": "ii"
},
"3": {
"probability": 0.02092050209205021,
"name": "iii"
},
"5": {
"probability": 0.34414225941422594,
"name": "V"
},
"6": {
"probability": 0.02615062761506276,
"name": "vi"
},
"16": {
"probability": 0.011506276150627614,
"name": "I<sup>6</sup>"
}
}
},
"5": {
"probability": 0.2506234413965088,
"name": "V",
"next": {
"1": {
"probability": 0.12203023758099352,
"name": "I"
},
"2": {
"probability": 0.03455723542116631,
"name": "ii"
},
"3": {
"probability": 0.028077753779697623,
"name": "iii"
},
"4": {
"probability": 0.4503239740820734,
"name": "IV"
},
"6": {
"probability": 0.3315334773218142,
"name": "vi"
},
"47": {
"probability": 0.033477321814254855,
"name": "IV<sup>7</sup>"
}
}
},
"47": {
"probability": 0.03366583541147133,
"name": "IV<sup>7</sup>",
"next": {
"1": {
"probability": 0.13174946004319654,
"name": "I"
},
"4": {
"probability": 0.033477321814254855,
"name": "IV"
},
"5": {
"probability": 0.7429805615550755,
"name": "V"
},
"6": {
"probability": 0.04427645788336933,
"name": "vi"
},
"365": {
"probability": 0.02591792656587473,
"name": "iii<sup>6</sup><sub>5</sub>"
},
"664": {
"probability": 0.02159827213822894,
"name": "vi<sup>6</sup><sub>4</sub>"
}
}
}
}
},
"67": {
"probability": 0.024999999999999998,
"name": "vi<sup>7</sup>",
"next": {
"1": {
"probability": 0.13271604938271603,
"name": "I",
"next": {
"3": {
"probability": 0.04631828978622327,
"name": "iii"
},
"4": {
"probability": 0.35985748218527314,
"name": "IV"
},
"5": {
"probability": 0.2814726840855106,
"name": "V"
},
"47": {
"probability": 0.1876484560570071,
"name": "IV<sup>7</sup>"
},
"56": {
"probability": 0.04631828978622327,
"name": "V<sup>6</sup>"
},
"67": {
"probability": 0.07838479809976247,
"name": "vi<sup>7</sup>"
}
}
},
"4": {
"probability": 0.316358024691358,
"name": "IV",
"next": {
"1": {
"probability": 0.4586387434554973,
"name": "I"
},
"3": {
"probability": 0.0356020942408377,
"name": "iii"
},
"5": {
"probability": 0.41151832460732984,
"name": "V"
},
"16": {
"probability": 0.02303664921465968,
"name": "I<sup>6</sup>"
},
"27": {
"probability": 0.01780104712041885,
"name": "ii<sup>7</sup>"
},
"67": {
"probability": 0.05340314136125654,
"name": "vi<sup>7</sup>"
}
}
},
"5": {
"probability": 0.27777777777777773,
"name": "V",
"next": {
"1": {
"probability": 0.3134796238244514,
"name": "I"
},
"2": {
"probability": 0.0909090909090909,
"name": "ii"
},
"4": {
"probability": 0.3134796238244514,
"name": "IV"
},
"47": {
"probability": 0.21159874608150467,
"name": "IV<sup>7</sup>"
},
"56": {
"probability": 0.029780564263322876,
"name": "V<sup>6</sup>"
},
"67": {
"probability": 0.040752351097178674,
"name": "vi<sup>7</sup>"
}
}
},
"27": {
"probability": 0.08641975308641975,
"name": "ii<sup>7</sup>",
"next": {
"1": {
"probability": 0.06562500000000002,
"name": "I"
},
"2": {
"probability": 0.06562500000000002,
"name": "ii"
},
"5": {
"probability": 0.3906250000000001,
"name": "V"
},
"6": {
"probability": 0.06562500000000002,
"name": "vi"
},
"37": {
"probability": 0.08645833333333336,
"name": "iii<sup>7</sup>"
},
"47": {
"probability": 0.32604166666666673,
"name": "IV<sup>7</sup>"
}
}
},
"37": {
"probability": 0.12808641975308643,
"name": "iii<sup>7</sup>",
"next": {
"1": {
"probability": 0.043897216274089934,
"name": "I"
},
"4": {
"probability": 0.13062098501070663,
"name": "IV"
},
"27": {
"probability": 0.14453961456102785,
"name": "ii<sup>7</sup>"
},
"47": {
"probability": 0.5503211991434689,
"name": "IV<sup>7</sup>"
},
"164": {
"probability": 0.0867237687366167,
"name": "I<sup>6</sup><sub>4</sub>"
},
"b2": {
"probability": 0.043897216274089934,
"name": "ii&deg;"
}
}
},
"56": {
"probability": 0.05864197530864197,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.636,
"name": "I"
},
"5": {
"probability": 0.182,
"name": "V"
},
"6": {
"probability": 0.182,
"name": "vi"
}
}
}
}
}
}
},
"6": {
"probability": 0.213953488372093,
"name": "vi",
"next": {
"1": {
"probability": 0.15474452554744525,
"name": "I",
"next": {
"2": {
"probability": 0.10879629629629628,
"name": "ii",
"next": {
"1": {
"probability": 0.103954802259887,
"name": "I"
},
"3": {
"probability": 0.1536723163841808,
"name": "iii"
},
"4": {
"probability": 0.34011299435028247,
"name": "IV"
},
"5": {
"probability": 0.11412429378531073,
"name": "V"
},
"6": {
"probability": 0.25310734463276835,
"name": "vi"
},
"b7": {
"probability": 0.03502824858757062,
"name": "&#9837;VII"
}
}
},
"3": {
"probability": 0.06712962962962962,
"name": "iii",
"next": {
"1": {
"probability": 0.02934782608695652,
"name": "I"
},
"2": {
"probability": 0.05434782608695652,
"name": "ii"
},
"4": {
"probability": 0.5499999999999999,
"name": "IV"
},
"5": {
"probability": 0.14565217391304347,
"name": "V"
},
"6": {
"probability": 0.19565217391304346,
"name": "vi"
},
"47": {
"probability": 0.024999999999999998,
"name": "IV<sup>7</sup>"
}
}
},
"4": {
"probability": 0.3194444444444444,
"name": "IV",
"next": {
"1": {
"probability": 0.1319290465631929,
"name": "I"
},
"2": {
"probability": 0.12195121951219512,
"name": "ii"
},
"3": {
"probability": 0.050997782705099776,
"name": "iii"
},
"5": {
"probability": 0.46674057649667405,
"name": "V"
},
"6": {
"probability": 0.16518847006651882,
"name": "vi"
},
"5/6": {
"probability": 0.06319290465631928,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.35416666666666663,
"name": "V",
"next": {
"1": {
"probability": 0.06370875995449374,
"name": "I"
},
"2": {
"probability": 0.25483503981797495,
"name": "ii"
},
"3": {
"probability": 0.03185437997724687,
"name": "iii"
},
"4": {
"probability": 0.3401592718998862,
"name": "IV"
},
"6": {
"probability": 0.2821387940841866,
"name": "vi"
},
"564": {
"probability": 0.027303754266211604,
"name": "V<sup>6</sup><sub>4</sub>"
}
}
},
"6": {
"probability": 0.1111111111111111,
"name": "vi",
"next": {
"1": {
"probability": 0.485278080697928,
"name": "I"
},
"2": {
"probability": 0.07306434023991276,
"name": "ii"
},
"3": {
"probability": 0.05452562704471101,
"name": "iii"
},
"4": {
"probability": 0.14721919302071973,
"name": "IV"
},
"5": {
"probability": 0.20283533260632497,
"name": "V"
},
"56": {
"probability": 0.03707742639040349,
"name": "V<sup>6</sup>"
}
}
},
"47": {
"probability": 0.03935185185185185,
"name": "IV<sup>7</sup>",
"next": {
"1": {
"probability": 0.09673659673659675,
"name": "I"
},
"2": {
"probability": 0.2692307692307693,
"name": "ii"
},
"3": {
"probability": 0.12703962703962704,
"name": "iii"
},
"5": {
"probability": 0.3508158508158508,
"name": "V"
},
"6": {
"probability": 0.09673659673659675,
"name": "vi"
},
"464": {
"probability": 0.05944055944055944,
"name": "IV<sup>6</sup><sub>4</sub>"
}
}
}
}
},
"2": {
"probability": 0.09197080291970802,
"name": "ii",
"next": {
"1": {
"probability": 0.1783980582524272,
"name": "I",
"next": {
"2": {
"probability": 0.17574257425742573,
"name": "ii"
},
"4": {
"probability": 0.13861386138613863,
"name": "IV"
},
"5": {
"probability": 0.4108910891089109,
"name": "V"
},
"6": {
"probability": 0.13613861386138615,
"name": "vi"
},
"5/6": {
"probability": 0.09282178217821782,
"name": "V/vi"
},
"5/3": {
"probability": 0.04579207920792079,
"name": "V/iii"
}
}
},
"3": {
"probability": 0.08495145631067963,
"name": "iii",
"next": {
"4": {
"probability": 0.2941810344827586,
"name": "IV"
},
"5": {
"probability": 0.09374999999999997,
"name": "V"
},
"6": {
"probability": 0.49999999999999994,
"name": "vi"
},
"26": {
"probability": 0.0355603448275862,
"name": "ii<sup>6</sup>"
},
"36": {
"probability": 0.04094827586206896,
"name": "iii<sup>6</sup>"
},
"L7": {
"probability": 0.0355603448275862,
"name": "vii"
}
}
},
"4": {
"probability": 0.14684466019417475,
"name": "IV",
"next": {
"1": {
"probability": 0.24914285714285717,
"name": "I"
},
"3": {
"probability": 0.08457142857142858,
"name": "iii"
},
"5": {
"probability": 0.4068571428571429,
"name": "V"
},
"6": {
"probability": 0.07314285714285715,
"name": "vi"
},
"16": {
"probability": 0.04228571428571429,
"name": "I<sup>6</sup>"
},
"5/6": {
"probability": 0.14400000000000002,
"name": "V/vi"
}
}
},
"5": {
"probability": 0.3349514563106797,
"name": "V",
"next": {
"1": {
"probability": 0.7158590308370044,
"name": "I"
},
"2": {
"probability": 0.025330396475770924,
"name": "ii"
},
"3": {
"probability": 0.051762114537444934,
"name": "iii"
},
"4": {
"probability": 0.09691629955947136,
"name": "IV"
},
"6": {
"probability": 0.08590308370044053,
"name": "vi"
},
"56": {
"probability": 0.02422907488986784,
"name": "V<sup>6</sup>"
}
}
},
"6": {
"probability": 0.21237864077669902,
"name": "vi",
"next": {
"2": {
"probability": 0.449032258064516,
"name": "ii"
},
"3": {
"probability": 0.27870967741935476,
"name": "iii"
},
"4": {
"probability": 0.07354838709677418,
"name": "IV"
},
"5": {
"probability": 0.07354838709677418,
"name": "V"
},
"264": {
"probability": 0.04903225806451612,
"name": "ii<sup>6</sup><sub>4</sub>"
},
"5/6": {
"probability": 0.0761290322580645,
"name": "V/vi"
}
}
},
"5/6": {
"probability": 0.042475728155339815,
"name": "V/vi",
"next": {
"2": {
"probability": 0.03516028955532575,
"name": "ii"
},
"4": {
"probability": 0.16235780765253358,
"name": "IV"
},
"6": {
"probability": 0.6742502585315407,
"name": "vi"
},
"67": {
"probability": 0.05791106514994828,
"name": "vi<sup>7</sup>"
},
"464": {
"probability": 0.03516028955532575,
"name": "IV<sup>6</sup><sub>4</sub>"
},
"b77": {
"probability": 0.03516028955532575,
"name": "&#9837;VIIb7"
}
}
}
}
},
"3": {
"probability": 0.0875912408759124,
"name": "iii",
"next": {
"1": {
"probability": 0.05176211453744493,
"name": "I",
"next": {
"4": {
"probability": 0.0995525727069351,
"name": "IV"
},
"5": {
"probability": 0.37248322147651003,
"name": "V"
},
"6": {
"probability": 0.36353467561521247,
"name": "vi"
},
"164": {
"probability": 0.05480984340044742,
"name": "I<sup>6</sup><sub>4</sub>"
},
"564": {
"probability": 0.05480984340044742,
"name": "V<sup>6</sup><sub>4</sub>"
},
"L4": {
"probability": 0.05480984340044742,
"name": "&#9839;iv&deg;"
}
}
},
"2": {
"probability": 0.060572687224669595,
"name": "ii",
"next": {
"1": {
"probability": 0.06839622641509434,
"name": "I"
},
"3": {
"probability": 0.11084905660377359,
"name": "iii"
},
"4": {
"probability": 0.11084905660377359,
"name": "IV"
},
"5": {
"probability": 0.2818396226415094,
"name": "V"
},
"6": {
"probability": 0.3679245283018868,
"name": "vi"
},
"5/6": {
"probability": 0.060141509433962265,
"name": "V/vi"
}
}
},
"4": {
"probability": 0.49229074889867835,
"name": "IV",
"next": {
"1": {
"probability": 0.32199546485260766,
"name": "I"
},
"2": {
"probability": 0.11678004535147392,
"name": "ii"
},
"3": {
"probability": 0.04308390022675737,
"name": "iii"
},
"5": {
"probability": 0.409297052154195,
"name": "V"
},
"6": {
"probability": 0.08843537414965986,
"name": "vi"
},
"165": {
"probability": 0.02040816326530612,
"name": "I<sup>6</sup><sub>5</sub>"
}
}
},
"5": {
"probability": 0.1332599118942731,
"name": "V",
"next": {
"1": {
"probability": 0.2670157068062827,
"name": "I"
},
"2": {
"probability": 0.12146596858638743,
"name": "ii"
},
"4": {
"probability": 0.14869109947643977,
"name": "IV"
},
"6": {
"probability": 0.4020942408376963,
"name": "vi"
},
"27": {
"probability": 0.01675392670157068,
"name": "ii<sup>7</sup>"
},
"5/5": {
"probability": 0.04397905759162304,
"name": "V/V"
}
}
},
"6": {
"probability": 0.23678414096916295,
"name": "vi",
"next": {
"1": {
"probability": 0.0373134328358209,
"name": "I"
},
"2": {
"probability": 0.1599147121535181,
"name": "ii"
},
"3": {
"probability": 0.5959488272921108,
"name": "iii"
},
"4": {
"probability": 0.07675906183368869,
"name": "IV"
},
"5": {
"probability": 0.11087420042643922,
"name": "V"
},
"57/6": {
"probability": 0.019189765458422173,
"name": "V<sup>7</sup>/vi"
}
}
},
"47": {
"probability": 0.02533039647577092,
"name": "IV<sup>7</sup>",
"next": {
"2": {
"probability": 0.054525627044711,
"name": "ii"
},
"3": {
"probability": 0.163576881134133,
"name": "iii"
},
"5": {
"probability": 0.599781897491821,
"name": "V"
},
"6": {
"probability": 0.054525627044711,
"name": "vi"
},
"5/6": {
"probability": 0.07306434023991275,
"name": "V/vi"
},
"56/6": {
"probability": 0.054525627044711,
"name": "V<sup>6</sup>/vi"
}
}
}
}
},
"4": {
"probability": 0.3386861313868613,
"name": "IV",
"next": {
"1": {
"probability": 0.48004434589800443,
"name": "I",
"next": {
"2": {
"probability": 0.08018327605956473,
"name": "ii"
},
"3": {
"probability": 0.044673539518900345,
"name": "iii"
},
"4": {
"probability": 0.046964490263459335,
"name": "IV"
},
"5": {
"probability": 0.6449026345933562,
"name": "V"
},
"6": {
"probability": 0.12142038946162657,
"name": "vi"
},
"56": {
"probability": 0.061855670103092786,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.06541019955654101,
"name": "ii",
"next": {
"1": {
"probability": 0.08546059933407325,
"name": "I"
},
"3": {
"probability": 0.09433962264150945,
"name": "iii"
},
"4": {
"probability": 0.13873473917869036,
"name": "IV"
},
"5": {
"probability": 0.3263041065482797,
"name": "V"
},
"6": {
"probability": 0.17758046614872366,
"name": "vi"
},
"5/6": {
"probability": 0.17758046614872366,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.026607538802660754,
"name": "iii",
"next": {
"1": {
"probability": 0.08071278825995808,
"name": "I"
},
"2": {
"probability": 0.2368972746331237,
"name": "ii"
},
"4": {
"probability": 0.10272536687631029,
"name": "IV"
},
"5": {
"probability": 0.12054507337526206,
"name": "V"
},
"6": {
"probability": 0.4371069182389937,
"name": "vi"
},
"b3": {
"probability": 0.022012578616352203,
"name": "&#9837;III"
}
}
},
"5": {
"probability": 0.34700665188470065,
"name": "V",
"next": {
"1": {
"probability": 0.3263506063947078,
"name": "I"
},
"2": {
"probability": 0.07386990077177509,
"name": "ii"
},
"3": {
"probability": 0.1091510474090408,
"name": "iii"
},
"4": {
"probability": 0.034178610804851156,
"name": "IV"
},
"6": {
"probability": 0.4355016538037486,
"name": "vi"
},
"5/6": {
"probability": 0.020948180815876516,
"name": "V/vi"
}
}
},
"6": {
"probability": 0.057649667405764965,
"name": "vi",
"next": {
"1": {
"probability": 0.07657142857142857,
"name": "I"
},
"2": {
"probability": 0.03542857142857142,
"name": "ii"
},
"4": {
"probability": 0.5142857142857142,
"name": "IV"
},
"5": {
"probability": 0.2754285714285714,
"name": "V"
},
"47": {
"probability": 0.055999999999999994,
"name": "IV<sup>7</sup>"
},
"5/6": {
"probability": 0.04228571428571428,
"name": "V/vi"
}
}
},
"5/6": {
"probability": 0.02328159645232816,
"name": "V/vi",
"next": {
"2": {
"probability": 0.015608740894901142,
"name": "ii"
},
"4": {
"probability": 0.07700312174817897,
"name": "IV"
},
"6": {
"probability": 0.8241415192507804,
"name": "vi"
},
"67": {
"probability": 0.015608740894901142,
"name": "vi<sup>7</sup>"
},
"642": {
"probability": 0.015608740894901142,
"name": "vi<sup>4</sup><sub>2</sub>"
},
"57/6": {
"probability": 0.05202913631633715,
"name": "V<sup>7</sup>/vi"
}
}
}
}
},
"5": {
"probability": 0.2948905109489051,
"name": "V",
"next": {
"1": {
"probability": 0.19101123595505617,
"name": "I",
"next": {
"2": {
"probability": 0.1152073732718894,
"name": "ii"
},
"3": {
"probability": 0.08179723502304147,
"name": "iii"
},
"4": {
"probability": 0.45967741935483875,
"name": "IV"
},
"5": {
"probability": 0.17511520737327188,
"name": "V"
},
"6": {
"probability": 0.12442396313364056,
"name": "vi"
},
"56": {
"probability": 0.04377880184331797,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.0696629213483146,
"name": "ii",
"next": {
"1": {
"probability": 0.21627408993576017,
"name": "I"
},
"3": {
"probability": 0.08993576017130621,
"name": "iii"
},
"4": {
"probability": 0.3897216274089935,
"name": "IV"
},
"5": {
"probability": 0.07387580299785867,
"name": "V"
},
"6": {
"probability": 0.2077087794432548,
"name": "vi"
},
"5/6": {
"probability": 0.022483940042826552,
"name": "V/vi"
}
}
},
"3": {
"probability": 0.056179775280898875,
"name": "iii",
"next": {
"1": {
"probability": 0.04756980351602895,
"name": "I"
},
"2": {
"probability": 0.0796277145811789,
"name": "ii"
},
"4": {
"probability": 0.5708376421923474,
"name": "IV"
},
"5": {
"probability": 0.03826266804550155,
"name": "V"
},
"6": {
"probability": 0.23991726990692863,
"name": "vi"
},
"b4": {
"probability": 0.023784901758014475,
"name": "iv"
}
}
},
"4": {
"probability": 0.48202247191011227,
"name": "IV",
"next": {
"1": {
"probability": 0.27494199535962877,
"name": "I"
},
"2": {
"probability": 0.0962877030162413,
"name": "ii"
},
"3": {
"probability": 0.11020881670533643,
"name": "iii"
},
"5": {
"probability": 0.302784222737819,
"name": "V"
},
"6": {
"probability": 0.18097447795823665,
"name": "vi"
},
"5/6": {
"probability": 0.03480278422273782,
"name": "V/vi"
}
}
},
"6": {
"probability": 0.16741573033707863,
"name": "vi",
"next": {
"1": {
"probability": 0.14464692482915717,
"name": "I"
},
"2": {
"probability": 0.059225512528473793,
"name": "ii"
},
"3": {
"probability": 0.07517084282460136,
"name": "iii"
},
"4": {
"probability": 0.10250569476082003,
"name": "IV"
},
"5": {
"probability": 0.5865603644646924,
"name": "V"
},
"56": {
"probability": 0.03189066059225512,
"name": "V<sup>6</sup>"
}
}
},
"47": {
"probability": 0.03370786516853932,
"name": "IV<sup>7</sup>",
"next": {
"1": {
"probability": 0.06724782067247821,
"name": "I"
},
"3": {
"probability": 0.08094645080946451,
"name": "iii"
},
"4": {
"probability": 0.08592777085927772,
"name": "IV"
},
"5": {
"probability": 0.44582814445828145,
"name": "V"
},
"6": {
"probability": 0.1768368617683686,
"name": "vi"
},
"37": {
"probability": 0.14321295143212953,
"name": "iii<sup>7</sup>"
}
}
}
}
},
"56": {
"probability": 0.03211678832116788,
"name": "V<sup>6</sup>",
"next": {
"1": {
"probability": 0.7341772151898733,
"name": "I",
"next": {
"2": {
"probability": 0.17965653896961695,
"name": "ii"
},
"3": {
"probability": 0.12813738441215325,
"name": "iii"
},
"4": {
"probability": 0.3064729194187583,
"name": "IV"
},
"5": {
"probability": 0.10964332892998681,
"name": "V"
},
"6": {
"probability": 0.11360634081902246,
"name": "vi"
},
"56": {
"probability": 0.16248348745046237,
"name": "V<sup>6</sup>"
}
}
},
"2": {
"probability": 0.03797468354430379,
"name": "ii",
"next": {
"1": {
"probability": 0.2759381898454746,
"name": "I"
},
"3": {
"probability": 0.3101545253863135,
"name": "iii"
},
"4": {
"probability": 0.4139072847682119,
"name": "IV"
}
}
},
"4": {
"probability": 0.07019562715765247,
"name": "IV",
"next": {
"1": {
"probability": 0.13290322580645159,
"name": "I"
},
"5": {
"probability": 0.48903225806451606,
"name": "V"
},
"6": {
"probability": 0.19999999999999996,
"name": "vi"
},
"442": {
"probability": 0.06709677419354837,
"name": "IV<sup>4</sup><sub>2</sub>"
},
"7/7": {
"probability": 0.06709677419354837,
"name": "vii&deg;/vii"
},
"b3": {
"probability": 0.04387096774193548,
"name": "&#9837;III"
}
}
},
"5": {
"probability": 0.04833141542002301,
"name": "V",
"next": {
"1": {
"probability": 0.21621621621621623,
"name": "I"
},
"2": {
"probability": 0.24324324324324323,
"name": "ii"
},
"4": {
"probability": 0.3243243243243243,
"name": "IV"
},
"6": {
"probability": 0.21621621621621623,
"name": "vi"
}
}
},
"6": {
"probability": 0.03222094361334867,
"name": "vi",
"next": {
"4": {
"probability": 0.10710710710710712,
"name": "IV"
},
"5": {
"probability": 0.10710710710710712,
"name": "V"
},
"7": {
"probability": 0.2502502502502503,
"name": "vii&deg;"
},
"37": {
"probability": 0.10710710710710712,
"name": "iii<sup>7</sup>"
},
"364": {
"probability": 0.10710710710710712,
"name": "iii<sup>6</sup><sub>4</sub>"
},
"664": {
"probability": 0.32132132132132135,
"name": "vi<sup>6</sup><sub>4</sub>"
}
}
},
"66": {
"probability": 0.07710011507479861,
"name": "vi<sup>6</sup>",
"next": {
"4": {
"probability": 0.23228803716608595,
"name": "IV"
},
"5": {
"probability": 0.07200929152148665,
"name": "V"
},
"16": {
"probability": 0.053426248548199766,
"name": "I<sup>6</sup>"
},
"Y2": {
"probability": 0.42857142857142855,
"name": "&#9837;II"
},
"7/6": {
"probability": 0.10685249709639953,
"name": "vii&deg;/vi"
},
"77/2": {
"probability": 0.10685249709639953,
"name": "vii<sup>ø</sup><sup>7</sup>/ii"
}
}
}
}
}
}
}
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment