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jeffreypierce/madrona.json

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madrona.json
[
{
"id": "balafon",
"desc": "Observed balafon tuning from Patna, Helmholtz/Ellis p. 518, nr.81",
"stepCount": "7",
"steps": [
"187.00000",
"356.00000",
"526.00000",
"672.00000",
"856.00000",
"985.00000",
"1222.00000"
],
"type": "african"
},
{
"id": "kora_1",
"desc": "Kora tuning Tomora Ba, also called Silaba, 1/1=F, R. King",
"stepCount": "7",
"steps": [
"200.00000",
"385.00000",
"500.00000",
"700.00000",
"900.00000",
"1085.00000",
"2/1"
],
"type": "african"
},
{
"id": "kora_2",
"desc": "Kora tuning Tomora Mesengo, also called Tomora, 1/1=F, R. King",
"stepCount": "7",
"steps": [
"230.00000",
"325.00000",
"500.00000",
"700.00000",
"930.00000",
"1025.00000",
"2/1"
],
"type": "african"
},
{
"id": "kora_3",
"desc": "Kora tuning Hardino, 1/1=F, R.King",
"stepCount": "7",
"steps": [
"185.00000",
"405.00000",
"500.00000",
"700.00000",
"885.00000",
"1105.00000",
"2/1"
],
"type": "african"
},
{
"id": "kora_4",
"desc": "Kora tuning Sauta, 1/1=F, R. King",
"stepCount": "7",
"steps": [
"185.00000",
"405.00000",
"605.00000",
"700.00000",
"885.00000",
"1105.00000",
"2/1"
],
"type": "african"
},
{
"id": "mbira_banda",
"desc": "Mubayiwa Bandambira's tuning of keys R2-R9 from Berliner: The soul of mbira.",
"stepCount": "7",
"steps": [
"185.000 cents",
"389.000 cents",
"593.000 cents",
"756.000 cents",
"914.000 cents",
"1051.000 cents",
"1302.000 cents"
],
"type": "african"
},
{
"id": "mbira_banda_2",
"desc": "Mubayiwa Bandambira's Mbira DzaVadzimu tuning B1=114 Hz",
"stepCount": "21",
"steps": [
"355.000 cents",
"554.000 cents",
"650.000 cents",
"829.000 cents",
"982.000 cents",
"1400.000 cents",
"1169.000 cents",
"1850.000 cents",
"1732.000 cents",
"2038.000 cents",
"2207.000 cents",
"2400.001 cents",
"1531.000 cents",
"2415.001 cents",
"2600.001 cents",
"2804.001 cents",
"3008.001 cents",
"3171.001 cents",
"3329.001 cents",
"3466.001 cents",
"3717.001 cents"
],
"type": "african"
},
{
"id": "mbira_gondo",
"desc": "John Gondo's Mbira DzaVadzimu tuning B1=122 Hz",
"stepCount": "21",
"steps": [
"323.000 cents",
"480.000 cents",
"644.000 cents",
"830.000 cents",
"981.000 cents",
"1330.000 cents",
"1179.000 cents",
"1888.000 cents",
"1697.000 cents",
"2025.000 cents",
"2189.000 cents",
"2371.001 cents",
"1517.000 cents",
"2390.001 cents",
"2569.001 cents",
"2787.001 cents",
"2923.001 cents",
"3105.001 cents",
"3256.001 cents",
"3417.001 cents",
"3609.001 cents"
],
"type": "african"
},
{
"id": "mbira_kunaka",
"desc": "John Kunaka's mbira tuning of keys R2-R9",
"stepCount": "7",
"steps": [
"196.000 cents",
"377.000 cents",
"506.000 cents",
"676.000 cents",
"877.000 cents",
"1050.000 cents",
"1148.000 cents"
],
"type": "african"
},
{
"id": "mbira_kunaka_2",
"desc": "John Kunaka's Mbira DzaVadzimu tuning B1=113 Hz",
"stepCount": "21",
"steps": [
"455.000 cents",
"547.000 cents",
"757.000 cents",
"935.000 cents",
"1089.000 cents",
"1501.000 cents",
"1260.000 cents",
"1972.000 cents",
"1763.000 cents",
"2153.000 cents",
"2317.001 cents",
"2478.001 cents",
"1638.000 cents",
"2464.001 cents",
"2660.001 cents",
"2841.001 cents",
"2970.001 cents",
"3140.001 cents",
"3341.001 cents",
"3514.001 cents",
"3612.001 cents"
],
"type": "african"
},
{
"id": "mbira_mude",
"desc": "Hakurotwi Mude's Mbira DzaVadzimu tuning B1=132 Hz",
"stepCount": "21",
"steps": [
"174.000 cents",
"289.000 cents",
"575.000 cents",
"612.000 cents",
"770.000 cents",
"1146.000 cents",
"976.000 cents",
"1678.000 cents",
"1467.000 cents",
"1848.000 cents",
"1987.000 cents",
"2115.000 cents",
"1326.000 cents",
"2117.000 cents",
"2348.001 cents",
"2528.001 cents",
"2646.001 cents",
"2860.001 cents",
"3032.001 cents",
"3205.001 cents",
"3465.001 cents"
],
"type": "african"
},
{
"id": "mbira_mujuru",
"desc": "Ephat Mujuru's Mbira DzaVadzimu tuning, B1=106 Hz",
"stepCount": "21",
"steps": [
"126.000 cents",
"243.000 cents",
"399.000 cents",
"713.000 cents",
"818.000 cents",
"1232.000 cents",
"1082.000 cents",
"1706.000 cents",
"1443.000 cents",
"1858.000 cents",
"1955.000 cents",
"2219.000 cents",
"1371.000 cents",
"2210.000 cents",
"2400.001 cents",
"2556.001 cents",
"2699.001 cents",
"2918.001 cents",
"3069.001 cents",
"3197.001 cents",
"3437.001 cents"
],
"type": "african"
},
{
"id": "mbira_zimb",
"desc": "Shona mbira scale",
"stepCount": "7",
"steps": [
"98.000 cents",
"271.000 cents",
"472.000 cents",
"642.000 cents",
"771.000 cents",
"952.000 cents",
"1148.000 cents"
],
"type": "african"
},
{
"id": "ad_dik",
"desc": "Amin Ad-Dik, 24-tone Egyptian tuning, d'Erlanger vol.5, p. 42",
"stepCount": "24",
"steps": [
"1053/1024",
"256/243",
"12/11",
"9/8",
"147/128",
"32/27",
"27/22",
"5/4",
"9/7",
"4/3",
"48/35",
"1024/729",
"81/56",
"3/2",
"49/32",
"128/81",
"18/11",
"27/16",
"26/15",
"9/5",
"11/6",
"15/8",
"35/18",
"2/1"
],
"type": "arabic"
},
{
"id": "al_farabi_9",
"desc": "Al-Farabi 9 note ud scale",
"stepCount": "9",
"steps": [
"9/8",
"27/22",
"81/64",
"4/3",
"3/2",
"18/11",
"27/16",
"16/9",
"2/1"
],
"type": "arabic"
},
{
"id": "al_farabi_blue",
"desc": "Another tuning from Al Farabi, c700 AD",
"stepCount": "7",
"steps": ["9/8", "45/32", "131/90", "3/2", "15/8", "31/16", "2/1"],
"type": "arabic"
},
{
"id": "al_farabi_chrom",
"desc": "Al Farabi's Chromatic c700 AD",
"stepCount": "7",
"steps": ["9/8", "27/20", "729/512", "3/2", "9/5", "19/10", "2/1"],
"type": "arabic"
},
{
"id": "al_farabi_chrom_2",
"desc": "Al-Farabi's Chromatic permuted",
"stepCount": "7",
"steps": ["16/15", "56/45", "4/3", "3/2", "8/5", "28/15", "2/1"],
"type": "arabic"
},
{
"id": "al_farabi_dor",
"desc": "Dorian mode of Al-Farabi's 10/9 Diatonic",
"stepCount": "7",
"steps": ["27/25", "6/5", "4/3", "3/2", "81/50", "9/5", "2/1"],
"type": "arabic"
},
{
"id": "al_farabi_dor_2",
"desc": "Dorian mode of Al-Farabi's Diatonic",
"stepCount": "7",
"steps": ["49/48", "7/6", "4/3", "3/2", "49/32", "7/4", "2/1"],
"type": "arabic"
},
{
"id": "iran_diat",
"desc": "Iranian Diatonic from Dariush Anooshfar, Safi-a-ddin Armavi's scale from 125 ET",
"stepCount": "7",
"steps": [
"220.800 cents",
"441.600 cents",
"489.600 cents",
"710.400 cents",
"931.200 cents",
"979.200 cents",
"2/1"
],
"type": "arabic"
},
{
"id": "iraq",
"desc": "Iraq 8-tone scale, Ellis",
"stepCount": "8",
"steps": [
"394/355",
"8192/6561",
"4/3",
"623/421",
"591/355",
"16/9",
"513/260",
"2/1"
],
"type": "arabic"
},
{
"id": "isfahan_5",
"desc": "Isfahan (IG #2, DF #8), from Rouanet",
"stepCount": "5",
"steps": ["13/12", "7/6", "5/4", "4/3", "2/1"],
"type": "arabic"
},
{
"id": "islamic",
"desc": "Islamic Genus (DF#7), from Rouanet",
"stepCount": "5",
"steps": ["13/12", "7/6", "91/72", "4/3", "2/1"],
"type": "arabic"
},
{
"id": "musaqa_24",
"desc": "d'Erlanger vol.5, p. 34. After Mih.a'il Mu^saqah, 1899, a Lebanese scholar",
"stepCount": "24",
"steps": [
"3456/3361",
"864/817",
"384/353",
"216/193",
"3456/3001",
"32/27",
"3456/2833",
"54/43",
"128/99",
"864/649",
"3456/2521",
"24/17",
"3456/2377",
"864/577",
"128/83",
"27/17",
"3456/2113",
"32/19",
"3456/1993",
"216/121",
"384/209",
"864/457",
"3456/1777",
"2/1"
],
"type": "arabic"
},
{
"id": "musaqa",
"desc": "Egyptian scale by Miha'il Musaqa",
"stepCount": "7",
"steps": [
"200.00000",
"350.00000",
"500.00000",
"700.00000",
"850.00000",
"1000.00000",
"2/1"
],
"type": "arabic"
},
{
"id": "turkish_24",
"desc": "Ra'uf Yekta, 24-tone Pythagorean Turkish Theoretical Gamut, 1/1=D (perde yegah) at 294 Hz",
"stepCount": "24",
"steps": [
"256/243",
"2187/2048",
"65536/59049",
"9/8",
"32/27",
"19683/16384",
"8192/6561",
"81/64",
"2097152/1594323",
"4/3",
"1024/729",
"729/512",
"262144/177147",
"3/2",
"128/81",
"6561/4096",
"32768/19683",
"27/16",
"8388608/4782969",
"16/9",
"4096/2187",
"243/128",
"1048576/531441",
"2/1"
],
"type": "arabic"
},
{
"id": "turkish",
"desc": "Turkish, 5-limit from Palmer on a Turkish music record, harmonic minor inverse",
"stepCount": "7",
"steps": ["16/15", "5/4", "4/3", "3/2", "5/3", "16/9", "2/1"],
"type": "arabic"
},
{
"id": "carlos_alpha",
"desc": "Wendy Carlos' Alpha scale with perfect fifth divided in nine",
"stepCount": "18",
"steps": [
"78.00000",
"156.00000",
"234.00000",
"312.00000",
"390.00000",
"468.00000",
"546.00000",
"624.00000",
"702.00000",
"780.00000",
"858.00000",
"936.00000",
"1014.00000",
"1092.00000",
"1170.00000",
"1248.00000",
"1326.00000",
"1404.00000"
],
"type": "carlos"
},
{
"id": "carlos_alpha_2",
"desc": "Wendy Carlos' Alpha prime scale with perfect fifth divided by eightteen",
"stepCount": "36",
"steps": [
"39.00000",
"78.00000",
"117.00000",
"156.00000",
"195.00000",
"234.00000",
"273.00000",
"312.00000",
"351.00000",
"390.00000",
"429.00000",
"468.00000",
"507.00000",
"546.00000",
"585.00000",
"624.00000",
"663.00000",
"702.00000",
"741.00000",
"780.00000",
"819.00000",
"858.00000",
"897.00000",
"936.00000",
"975.00000",
"1014.00000",
"1053.00000",
"1092.00000",
"1131.00000",
"1170.00000",
"1209.00000",
"1248.00000",
"1287.00000",
"1326.00000",
"1365.00000",
"1404.00000"
],
"type": "carlos"
},
{
"id": "carlos_beta",
"desc": "Wendy Carlos' Beta scale with perfect fifth divided by eleven",
"stepCount": "22",
"steps": [
"63.80000",
"127.60000",
"191.40000",
"255.20000",
"319.00000",
"382.80000",
"446.60000",
"510.40000",
"574.20000",
"638.00000",
"701.80000",
"765.60000",
"829.40000",
"893.20000",
"957.00000",
"1020.80000",
"1084.60000",
"1148.40000",
"1212.20000",
"1276.00000",
"1339.80000",
"1403.60000"
],
"type": "carlos"
},
{
"id": "carlos_beta_2",
"desc": "Wendy Carlos' Beta prime scale with perfect fifth divided by twentytwo",
"stepCount": "44",
"steps": [
"31.90000",
"63.80000",
"95.70000",
"127.60000",
"159.50000",
"191.40000",
"223.30000",
"255.20000",
"287.10000",
"319.00000",
"350.90000",
"382.80000",
"414.70000",
"446.60000",
"478.50000",
"510.40000",
"542.30000",
"574.20000",
"606.10000",
"638.00000",
"669.90000",
"701.80000",
"733.70000",
"765.60000",
"797.50000",
"829.40000",
"861.30000",
"893.20000",
"925.10000",
"957.00000",
"988.90000",
"1020.80000",
"1052.70000",
"1084.60000",
"1116.50000",
"1148.40000",
"1180.30000",
"1212.20000",
"1244.10000",
"1276.00000",
"1307.90000",
"1339.80000",
"1371.70000",
"1403.60000"
],
"type": "carlos"
},
{
"id": "carlos_gamma",
"desc": "Wendy Carlos' Gamma scale with third divided by eleven or fifth by twenty",
"stepCount": "35",
"steps": [
"35.09900",
"70.19800",
"105.29700",
"140.39600",
"175.49500",
"210.59400",
"245.69300",
"280.79200",
"315.89100",
"350.99000",
"386.08900",
"421.18800",
"456.28700",
"491.38600",
"526.48500",
"561.58400",
"596.68300",
"631.78200",
"666.88100",
"701.98000",
"737.07900",
"772.17800",
"807.27700",
"842.37600",
"877.47500",
"912.57400",
"947.67300",
"982.77200",
"1017.87100",
"1052.97000",
"1088.06900",
"1123.16800",
"1158.26700",
"1193.36600",
"1228.46500"
],
"type": "carlos"
},
{
"id": "chin_7",
"desc": "Chinese heptatonic scale and tritriadic of 64:81:96 triad",
"stepCount": "7",
"steps": ["9/8", "81/64", "4/3", "3/2", "27/16", "243/128", "2/1"],
"type": "chinese"
},
{
"id": "chin_12",
"desc": "Chinese scale, 4th cent.",
"stepCount": "12",
"steps": [
"99.20000",
"199.50000",
"296.70000",
"398.00000",
"492.90000",
"595.20000",
"699.00000",
"790.90000",
"896.10000",
"984.90000",
"1091.40000",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_60",
"desc": "Chinese scale of fifths (the 60 lu\")",
"stepCount": "60",
"steps": [
"3.61505",
"531441/524288",
"46.92002",
"70.38003",
"93.84004",
"2187/2048",
"1162261467/1073741824",
"160.60503",
"184.06504",
"9/8",
"207.52505",
"4782969/4194304",
"250.83002",
"274.29003",
"297.75004",
"19683/16384",
"341.05502",
"364.51503",
"387.97504",
"81/64",
"411.43505",
"43046721/33554432",
"454.74002",
"478.20003",
"501.66005",
"177147/131072",
"544.96502",
"568.42503",
"591.88504",
"729/512",
"615.34505",
"387420489/268435456",
"658.65003",
"682.11004",
"3/2",
"705.57005",
"1594323/1048576",
"748.87502",
"772.33503",
"795.79504",
"6561/4096",
"839.10002",
"862.56003",
"886.02004",
"27/16",
"909.48005",
"14348907/8388608",
"952.78502",
"976.24503",
"999.70504",
"59049/32768",
"1043.01002",
"1066.47003",
"1089.93004",
"243/128",
"1113.39005",
"129140163/67108864",
"1156.69503",
"1180.15504",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_bianzhong",
"desc": "Pitches of Bianzhong bells (Xinyang). 1/1=b, Liang Mingyue, 1975.",
"stepCount": "12",
"steps": [
"104.00000",
"308.00000",
"624.00000",
"820.00000",
"1012.00000",
"1144.00000",
"1329.00000",
"1515.00000",
"1857.00000",
"2039.00000",
"2231.00000",
"2674.00000"
],
"type": "chinese"
},
{
"id": "chin_bianzhong_2_a",
"desc": "A-tones (GU) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=d#=619 Hz",
"stepCount": "12",
"steps": [
"147.00000",
"308.00000",
"612.00000",
"792.00000",
"931.00000",
"1092.00000",
"1326.00000",
"1581.00000",
"1693.00000",
"2068.00000",
"2252.00000",
"2598.00000"
],
"type": "chinese"
},
{
"id": "chin_bianzhong_2_b",
"desc": "B-tones (SUI) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=b+=506.6 Hz",
"stepCount": "12",
"steps": [
"114.98540",
"308.99317",
"624.99652",
"812.98131",
"1009.98545",
"1138.97957",
"1323.94786",
"1506.01750",
"1852.96980",
"2039.00232",
"2206.96993",
"2658.99308"
],
"type": "chinese"
},
{
"id": "chin_bianzhong_3",
"desc": "A and B-tones of 13 Xinyang bells (Ma Cheng-Yuan) abs. pitches wrt middle-C",
"stepCount": "26",
"steps": [
"1150.00000",
"1262.00000",
"1460.00000",
"1491.00000",
"1638.00000",
"1776.00000",
"1799.00000",
"1962.00000",
"2103.00000",
"2160.00000",
"2283.00000",
"2290.00000",
"2422.00000",
"2474.00000",
"2583.00000",
"2656.00000",
"2817.00000",
"3004.00000",
"3072.00000",
"3184.00000",
"3188.00000",
"3357.00000",
"3559.00000",
"3743.00000",
"3810.00000",
"4089.00000"
],
"type": "chinese"
},
{
"id": "chin_bronze",
"desc": "Scale found on ancient Chinese bronze instrument 3rd c.BC & \"Scholar's Lute\"",
"stepCount": "7",
"steps": ["8/7", "6/5", "5/4", "4/3", "3/2", "5/3", "2/1"],
"type": "chinese"
},
{
"id": "chin_chime",
"desc": "Pitches of 12 stone chimes, F. Kuttner, 1951, ROMA Toronto. %1=b4",
"stepCount": "12",
"steps": [
"-88.00000",
"462.50000",
"702.50000",
"1282.50000",
"1572.50000",
"1739.00000",
"1903.50000",
"2119.00000",
"2113.50000",
"2308.50000",
"2396.00000",
"2810.00000"
],
"type": "chinese"
},
{
"id": "chin_ching",
"desc": "Scale of Ching Fang, c.45 BC. Pyth.steps 0 1 2 3 4 5 47 48 49 50 51 52 53",
"stepCount": "12",
"steps": [
"93.84004",
"9/8",
"297.75004",
"81/64",
"501.66005",
"591.88504",
"3/2",
"795.79504",
"27/16",
"999.70504",
"243/128",
"1203.61505"
],
"type": "chinese"
},
{
"id": "chin_di",
"desc": "Chinese di scale",
"stepCount": "6",
"steps": [
"229.46929",
"329.97080",
"555.03167",
"777.52793",
"875.24684",
"1213.57835"
],
"type": "chinese"
},
{
"id": "chin_di_2",
"desc": "Observed tuning from Chinese flute dizi, Helmholtz/Ellis p. 518, nr.103",
"stepCount": "7",
"steps": [
"178.00000",
"339.00000",
"448.00000",
"662.00000",
"888.00000",
"1103.00000",
"1196.00000"
],
"type": "chinese"
},
{
"id": "chin_huang",
"desc": "Huang Zhong qin tuning",
"stepCount": "6",
"steps": ["81/64", "3/2", "27/16", "2/1", "9/4", "81/32"],
"type": "chinese"
},
{
"id": "chin_liu_an",
"desc": "Scale of Liu An, in: \"Huai Nan Tzu\", c.122 BC, 1st known corr. to Pyth. scale",
"stepCount": "11",
"steps": [
"81/76",
"9/8",
"81/68",
"81/64",
"27/20",
"27/19",
"3/2",
"27/17",
"27/16",
"9/5",
"27/14"
],
"type": "chinese"
},
{
"id": "chin_lu",
"desc": "Chinese L� scale by Huai Nan zi, Han era. P�re Amiot 1780, Kurt Reinhard",
"stepCount": "12",
"steps": [
"18/17",
"9/8",
"6/5",
"54/43",
"4/3",
"27/19",
"3/2",
"27/17",
"27/16",
"9/5",
"36/19",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_lu_2",
"desc": "Chinese L� (Lushi chunqiu, by Lu Buwei). Mingyue: Music of the billion, p.67",
"stepCount": "12",
"steps": [
"2187/2048",
"9/8",
"19683/16384",
"81/64",
"177147/131072",
"729/512",
"3/2",
"6561/4096",
"27/16",
"59049/32768",
"243/128",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_lu_3",
"desc": "Chinese L� scale by Ho Ch'�ng-T'ien, reported in Sung Shu (500 AD)",
"stepCount": "12",
"steps": [
"101.00000",
"200.00000",
"297.00000",
"398.00000",
"493.00000",
"596.00000",
"699.00000",
"791.00000",
"897.00000",
"985.00000",
"1092.00000",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_lu_3_a",
"desc": "Chinese L� scale by Ho Ch'�ng-T'ien, calc. basis is \"big number\"177147",
"stepCount": "12",
"steps": [
"17714700/16727831",
"2952450/2631019",
"590490/497483",
"1476225/1173019",
"708588/533029",
"177147/125686",
"708588/473185",
"885735/560906",
"1771470/1055723",
"8857350/5014657",
"177147/94357",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_lu_4",
"desc": "Chinese L� \"749-Temperament\"",
"stepCount": "12",
"steps": [
"97.51604",
"561001/500000",
"296.80634",
"398.58059",
"496.09663",
"597.87089",
"749/500",
"797.16119",
"420189749/250000000",
"996.45149",
"1098.22574",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_lu_5",
"desc": "Chinese L� scale by Ch'ien Lo-Chih, c.450 AD Pyth.steps 0 154 255 103 204 etc.",
"stepCount": "12",
"steps": [
"101.07013",
"198.52522",
"301.36509",
"398.82018",
"499.89031",
"599.11513",
"700.18527",
"799.41009",
"900.48022",
"999.70504",
"1100.77518",
"1198.23000"
],
"type": "chinese"
},
{
"id": "chin_lusheng",
"desc": "Observed tuning of a small Lusheng, 1/1=d, OdC '97",
"stepCount": "5",
"steps": [
"329.00000",
"498.00000",
"688.00000",
"1003.00000",
"1191.00000"
],
"type": "chinese"
},
{
"id": "chin_pan",
"desc": "Pan Huai-su pure system, in: Sin-Yan Shen, 1991",
"stepCount": "23",
"steps": [
"256/243",
"2187/2048",
"65536/59049",
"9/8",
"32/27",
"8192/6561",
"81/64",
"2097152/1594323",
"4/3",
"1024/729",
"729/512",
"262144/177147",
"3/2",
"128/81",
"6561/4096",
"32768/19683",
"27/16",
"8388608/4782969",
"16/9",
"4096/2187",
"243/128",
"1048576/531441",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_pipa",
"desc": "Observed tuning from Chinese balloon lute p'i-p'a, Helmholtz/Ellis p. 518, nr.109",
"stepCount": "5",
"steps": ["145.00000", "351.00000", "647.00000", "874.00000", "1195.00000"],
"type": "chinese"
},
{
"id": "chin_sheng",
"desc": "Observed tuning from Chinese sheng or mouth organ, Helmholtz/Ellis p. 518, nr.105",
"stepCount": "7",
"steps": [
"210.00000",
"338.00000",
"498.00000",
"715.00000",
"908.00000",
"1040.00000",
"1199.00000"
],
"type": "chinese"
},
{
"id": "chin_shierlu",
"desc": "Old Chinese L� scale, from http://en.wikipedia.org/wiki/Shi_Er_L%C3%BC",
"stepCount": "12",
"steps": [
"2187/2048 ! * 大吕 (D� Lǚ) ..... 3^7/2^11",
"9/8 ! * 太簇 (T�i C�).... 3^2/2^3",
"1968/1683 ! *夹钟(Ji�Zhōng)41*3*2^4/17/11/3^2 41-limit",
"81/64 ! * 姑洗 (Gū Xiǎn) .... 3^4/2^5",
"1771/1311 ! *中吕(Zh�ngLǚ) .. 23*11*7/23*19*3=77/57=",
"729/512 ! * 蕤宾 (Ru� Bīn). 3^6/2^9=(9/8)^3 tritone",
"3/2 ! * 林钟 (L�n Zhōng)... 5th",
"6561/4096 ! * 夷则 (Y� Z�) ...... 3^8/2^12",
"27/16 ! * 南吕 (N�n Lǚ) .... 3^3/2^4",
"5905/3277 ! * 无射 (W� Y�)....1181*5/113/29 1181-limit",
"243/128 ! * 应钟 (Y�ng Zhōng) .. 3^5/2^7",
"2/1"
],
"type": "chinese"
},
{
"id": "chin_sientsu",
"desc": "Observed tuning from Chinese tamboura sienzi, Helmholtz/Ellis p. 518, nr.108",
"stepCount": "5",
"steps": ["189.00000", "386.00000", "702.00000", "893.00000", "2/1"],
"type": "chinese"
},
{
"id": "chin_sona",
"desc": "Observed tuning from Chinese oboe (so-na), Helmholtz/Ellis p. 518, nr.104",
"stepCount": "7",
"steps": [
"145.00000",
"297.00000",
"440.00000",
"637.00000",
"813.00000",
"1014.00000",
"1216.00000"
],
"type": "chinese"
},
{
"id": "chin_wang_po",
"desc": "Scale of Wang Po, 958 AD. H. Pischner: Musik in China, Berlin, 1955, p.20",
"stepCount": "7",
"steps": [
"9/8",
"403.22751",
"609.26340",
"3/2",
"903.70231",
"1106.39699",
"1180.87015"
],
"type": "chinese"
},
{
"id": "chin_yangqin",
"desc": "Observed tuning from Chinese dulcimer yangqin, Helmholtz/Ellis p. 518, nr.107",
"stepCount": "7",
"steps": [
"169.00000",
"274.00000",
"491.00000",
"661.00000",
"878.00000",
"996.00000",
"1198.00000"
],
"type": "chinese"
},
{
"id": "chin_yunlo",
"desc": "Observed tuning from Chinese gong-chime (y�n-lo), Helmholtz/Ellis p. 518, nr.106",
"stepCount": "7",
"steps": [
"169.00000",
"367.00000",
"586.00000",
"674.00000",
"775.00000",
"1062.00000",
"1208.00000"
],
"type": "chinese"
},
{
"id": "bagpipe_2",
"desc": "Highland Bagpipe, from Acustica4: 231 (1954) J.M.A Lenihan and S. McNeill",
"stepCount": "9",
"steps": ["8/9", "1/1", "9/8", "5/4", "27/20", "3/2", "5/3", "9/5", "2/1"],
"type": "european"
},
{
"id": "bagpipe_3",
"desc": "Highland Bagpipe, Allan Chatto, 1991. From Australian Pipe Band College",
"stepCount": "9",
"steps": ["9/10", "1/1", "9/8", "5/4", "4/3", "3/2", "5/3", "9/5", "2/1"],
"type": "european"
},
{
"id": "bagpipe_4",
"desc": "Highland Bagpipe, Ewan Macpherson in 'NZ Pipeband', Winter 1998",
"stepCount": "9",
"steps": [
"7/8",
"1/1",
"9/8",
"5/4",
"4/3",
"3/2",
"5/3",
"7/4",
"1190.00000"
],
"type": "european"
},
{
"id": "couperin_org",
"desc": "F. Couperin organ temperament (1690), from C. di Veroli, 1985",
"stepCount": "12",
"steps": [
"76.04900",
"193.15686",
"297.10287",
"5/4",
"503.42157",
"579.47057",
"696.57843",
"783.38057",
"889.73529",
"1006.84314",
"1082.89214",
"2/1"
],
"type": "european"
},
{
"id": "couperin",
"desc": "Couperin modified meantone",
"stepCount": "12",
"steps": [
"76.04900",
"193.15686",
"289.73598",
"5/4",
"503.42157",
"579.47057",
"696.57843",
"25/16",
"889.73529",
"996.57878",
"1082.89214",
"2/1"
],
"type": "european"
},
{
"id": "italian",
"desc": "Italian organ temperament, G.C. Klop (1974), 1/12 P.comma, also d'Alembert/Rousseau (1752/67)",
"stepCount": "12",
"steps": [
"84.35999",
"192.18000",
"288.26999",
"8192/6561",
"496.09000",
"584.35999",
"696.09000",
"784.35999",
"888.26999",
"992.18000",
"1084.35999",
"2/1"
],
"type": "european"
},
{
"id": "jobin_bach",
"desc": "Emile Jobin, WTC temperament after Bach's signet",
"stepCount": "12",
"steps": [
"86.80214",
"193.15686",
"292.42357",
"5/4",
"4/3",
"584.84714",
"696.57843",
"788.75714",
"889.73529",
"994.37857",
"1082.89214",
"2/1"
],
"type": "european"
},
{
"id": "kirnberger",
"desc": "Kirnberger's well-temperament, also called Kirnberger III, letter to Forkel 1779",
"stepCount": "12",
"steps": [
"256/243",
"193.15686",
"32/27",
"5/4",
"4/3",
"45/32",
"696.57843",
"128/81",
"889.73529",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "kirnberger_1",
"desc": "Kirnberger's temperament 1 (1766)",
"stepCount": "12",
"steps": [
"256/243",
"9/8",
"32/27",
"5/4",
"4/3",
"45/32",
"3/2",
"128/81",
"895.11200",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "kirnberger_2",
"desc": "Kirnberger 2: 1/2 synt. comma. \"Die Kunst des reinen Satzes\"(1774)",
"stepCount": "12",
"steps": [
"135/128",
"9/8",
"32/27",
"5/4",
"4/3",
"45/32",
"3/2",
"405/256",
"895.11186",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "kirnberger_3",
"desc": "Kirnberger 3: 1/4 synt. comma (1744)",
"stepCount": "12",
"steps": [
"135/128",
"193.15686",
"32/27",
"5/4",
"4/3",
"45/32",
"696.57843",
"405/256",
"889.73529",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "kirnberger_3_v",
"desc": "Variant well-temperament like Kirnberger 3, Kenneth Scholz, MTO 4.4, 1998",
"stepCount": "12",
"steps": [
"135/128",
"180/161",
"32/27",
"5/4",
"4/3",
"45/32",
"160/107",
"128/81",
"540/323",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "meister_p_12",
"desc": "Temperament with 1/6 and 1/12 P comma, W.Th. Meister, p. 117",
"stepCount": "12",
"steps": [
"256/243",
"196.09000",
"301.95500",
"392.18000",
"501.95500",
"590.22500",
"698.04500",
"790.22500",
"894.13500",
"1001.95500",
"1090.22500",
"2/1"
],
"type": "european"
},
{
"id": "meister_s_4",
"desc": "Temperament with 1/4 comma, W.Th. Meister, p. 120",
"stepCount": "12",
"steps": [
"85.82528",
"193.15686",
"32/27",
"5/4",
"4/3",
"579.47057",
"696.57843",
"128/81",
"889.73529",
"16/9",
"1082.89214",
"2/1"
],
"type": "european"
},
{
"id": "meister_s_5",
"desc": "Temperament with 1/5 comma, W.Th. Meister, p. 121",
"stepCount": "12",
"steps": [
"94.13436",
"195.30749",
"296.48061",
"390.61497",
"498.82687",
"592.96123",
"697.65374",
"795.30749",
"892.96123",
"997.65374",
"1091.78810",
"2/1"
],
"type": "european"
},
{
"id": "meister_synt",
"desc": "Halved syntonic comma's, Wolfgang Theodor Meister, Die Orgelstimmung in S�ddeutschland, 1991, p. 117",
"stepCount": "12",
"steps": [
"25/24",
"193.15686",
"6/5",
"5/4",
"4/3",
"579.47057",
"3/2",
"25/16",
"5/3",
"1006.84314",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "meister_t",
"desc": "A temperament, W.Th. Meister, p. 35-36",
"stepCount": "12",
"steps": [
"16/15",
"198.53343",
"6/5",
"391.69029",
"4/3",
"64/45",
"3/2",
"8/5",
"895.11186",
"16/9",
"15/8",
"2/1"
],
"type": "european"
},
{
"id": "sparschuh_equalbeating",
"desc": "Sparschuh's Equal-Beating, A4=440Hz, TL 14-5-2010",
"stepCount": "12",
"steps": [
"173/164",
"46/41",
"389/328",
"411/328",
"219/164",
"231/164",
"3/2",
"519/328",
"275/164",
"73/41",
"77/41",
"2/1"
],
"type": "european"
},
{
"id": "sparschuh_wohltemperiert",
"desc": "C-major beats C:E:G = 4: 5*(1316/1315): 6*(1314/1315) synchronously, Andreas Sparschuh (2008)",
"stepCount": "12",
"steps": [
"555/526 ! C# 277.5/263",
"589/526 ! D 294.5/263",
"312/263 ! Eb",
"329/263 ! E (5/4)*(1316/1315) ~1.316...Cents sharper than JI 5:4",
"351/263 ! F",
"370/263 ! F#",
"1971/1315 ! G 394.2/263 (3/2)*(1314/1315) ~-1.317...C lower than 3:2",
"416/263 ! G#",
"440/263 ! A",
"468/263 ! Bb",
"987/526 ! B 493.5/263",
"2/1"
],
"type": "european"
},
{
"id": "werck_3",
"desc": "Andreas Werckmeister's temperament III (the most famous one, 1681)",
"stepCount": "12",
"steps": [
"256/243",
"192.18000",
"32/27",
"390.22500",
"4/3",
"1024/729",
"696.09000",
"128/81",
"888.26999",
"16/9",
"1092.18000",
"2/1"
],
"type": "european"
},
{
"id": "zwolle_2",
"desc": "Henri Arnaut De Zwolle's modified meantone tuning (c. 1440)",
"stepCount": "12",
"steps": [
"76.04900",
"193.15686",
"303.09595",
"5/4",
"503.42157",
"579.47057",
"696.57843",
"25/16",
"889.73529",
"1003.25876",
"1082.89214",
"2/1"
],
"type": "european"
},
{
"id": "angklung",
"desc": "Scale of an anklung set from Tasikmalaya. 1/1=174 Hz",
"stepCount": "8",
"steps": [
"206.12000",
"382.32900",
"610.00900",
"823.60700",
"1234.47800",
"1406.12000",
"1633.42500",
"1841.20400"
],
"type": "gamelan"
},
{
"id": "degung_1",
"desc": "Gamelan Degung, Kabupaten Sukabumi. 1/1=363 Hz",
"stepCount": "5",
"steps": [
"155.003 cents",
"344.805 cents",
"693.988 cents",
"823.199 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "degung_2",
"desc": "Gamelan Degung, Kabupaten Bandung. 1/1=252 Hz",
"stepCount": "5",
"steps": [
"96.854 cents",
"380.809 cents",
"692.771 cents",
"799.892 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "degung_3",
"desc": "Gamelan Degung, Kabupaten Sumedang. 1/1=388.5 Hz",
"stepCount": "5",
"steps": [
"134.970 cents",
"351.656 cents",
"705.665 cents",
"847.882 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "degung_4",
"desc": "Gamelan Degung, Kasepuhan Cheribon. 1/1=250 Hz",
"stepCount": "5",
"steps": [
"146.014 cents",
"344.257 cents",
"645.650 cents",
"800.653 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "degung_5",
"desc": "Gamelan Degung, Kanoman Cheribon. 1/1=428 Hz",
"stepCount": "5",
"steps": [
"143.544 cents",
"337.081 cents",
"685.699 cents",
"861.558 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "degung_6",
"desc": "Gamelan Degung, Kacherbonan Cheribon. 1/1=426 Hz",
"stepCount": "5",
"steps": [
"75.542 cents",
"228.123 cents",
"644.104 cents",
"773.602 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "gorgo_pelog",
"desc": "Pelog-like subset of gorgo[9]",
"stepCount": "7",
"steps": [
"64.82352",
"293.02282",
"521.22213",
"684.59791",
"749.42143",
"977.62074",
"1205.82004"
],
"type": "gamelan"
},
{
"id": "melog",
"desc": "pelog melog, Sunda",
"stepCount": "5",
"steps": ["420.00000", "540.00000", "690.00000", "1080.00000", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_9",
"desc": "9-tET \"Pelog\"",
"stepCount": "7",
"steps": [
"133.33333",
"266.66667",
"533.33333",
"666.66667",
"800.00000",
"933.33333",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_24",
"desc": "Subset of 24-tET (Sumatra?). Also Arabic Segah (Dudon) Two 4+3+3 tetrachords",
"stepCount": "7",
"steps": [
"200.00000",
"350.00000",
"500.00000",
"700.00000",
"900.00000",
"1050.00000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_a",
"desc": "Pelog, average class A. Kunst 1949",
"stepCount": "7",
"steps": [
"122.000",
"271.000",
"571.000",
"677.000",
"785.000",
"947.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_1",
"desc": "Gamelan Saih pitu from Ksatria, Den Pasar (South Bali). 1/1=312.5 Hz",
"stepCount": "7",
"steps": [
"153.000",
"315.000",
"552.000",
"706.000",
"848.000",
"1058.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_2",
"desc": "Bamboo gambang from Batu lulan (South Bali). 1/1=315 Hz",
"stepCount": "7",
"steps": [
"150.000",
"321.000",
"483.000",
"685.000",
"838.000",
"1003.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_3",
"desc": "Gamelan Gong from Padangtegal, distr. Ubud (South Bali). 1/1=555 Hz",
"stepCount": "5",
"steps": ["152.000", "326.000", "692.000", "825.000", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_4",
"desc": "Hindu-Jav. demung, excavated in Banjarnegara. 1/1=427 Hz",
"stepCount": "7",
"steps": [
"184.000",
"334.000",
"518.000",
"669.000",
"880.000",
"1016.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_5",
"desc": "Gamelan Kyahi Munggang (Paku Alaman, Jogja). 1/1=199.5 Hz",
"stepCount": "7",
"steps": [
"146.000",
"299.000",
"544.000",
"695.000",
"850.000",
"1008.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_6",
"desc": "Gamelan Semar pegulingan, Ubud (S. Bali). 1/1=263.5 Hz",
"stepCount": "6",
"steps": ["130.000", "326.000", "526.000", "675.000", "792.000", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_7",
"desc": "Gamelan Kantjilbelik (kraton Jogja). Measured by Surjodiningrat, 1972.",
"stepCount": "7",
"steps": [
"125.000",
"256.000",
"523.000",
"668.000",
"788.000",
"934.000",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_8",
"desc": "from William Malm: Music Cultures of the Pacific, the Near East and Asia.",
"stepCount": "14",
"steps": [
"125.000",
"266.000",
"563.000",
"676.000",
"800.000",
"965.000",
"1220.000",
"1360.000",
"1503.000",
"1778.000",
"1905.000",
"2021.000",
"2225.000",
"2447.000"
],
"type": "gamelan"
},
{
"id": "pelog_10",
"desc": "Balinese saih 7 scale, Krobokan. 1/1=275 Hz. McPhee, Music in Bali, 1966",
"stepCount": "7",
"steps": [
"179.25315",
"294.52841",
"466.27835",
"670.18835",
"813.68629",
"909.35892",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_11",
"desc": "Balinese saih pitu, gamelan luang, banjar S�s�h. 1/1=276 Hz. McPhee, 1966",
"stepCount": "7",
"steps": [
"172.96917",
"386.31371",
"516.76123",
"685.14677",
"906.79403",
"1045.93815",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_12",
"desc": "Balinese saih pitu, gamelan Semar Pegulingan, Tampak Gangsai, 1/1=310, McPhee",
"stepCount": "7",
"steps": [
"144.57645",
"282.75390",
"546.23355",
"671.91114",
"774.85984",
"1023.79033",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_13",
"desc": "Balinese saih pitu, gamelan Semar Pegulingan, Klungkung, 1/1=325. McPhee, 1966",
"stepCount": "7",
"steps": [
"177.06863",
"368.10694",
"512.63227",
"710.81044",
"954.30653",
"1101.35872",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_14",
"desc": "Balinese saih pitu, suling gambuh, Tabanan, 1/1=211 Hz, McPhee, 1966",
"stepCount": "7",
"steps": [
"164.25817",
"293.62212",
"489.82059",
"626.48975",
"747.83606",
"851.22404",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_15",
"desc": "Balinese saih pitu, suling gambuh, Batuan, 1/1=202 Hz. McPhee, 1966",
"stepCount": "7",
"steps": [
"147.77788",
"280.28666",
"476.48514",
"626.03713",
"769.19584",
"849.73288",
"2/1"
],
"type": "gamelan"
},
{
"id": "pelog_16",
"desc": "Balinese 5-tone pelog, \"Tembung chenik\", 1/1=273 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["134.17680", "317.75384", "10/7", "798.55929", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_17",
"desc": "Balinese 5-tone pelog, \"Selisir Sunar�n\", 1/1=310 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["185.19378", "6/5", "645.18814", "792.61624", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_18",
"desc": "Balinese 5-tone pelog, \"Selisir pel�gongan\", 1/1=305 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["109.95657", "287.02520", "614.64739", "748.62182", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_19",
"desc": "Balinese 5-tone pelog, \"Demung\", 1/1=362 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["207.09535", "314.04641", "761.49652", "854.45089", "2/1"],
"type": "gamelan"
},
{
"id": "pelog_20",
"desc": "Balinese 4-tone pelog, gamelan bebonang, Sayan village, 1/1=290 Hz, McPhee, 1966",
"stepCount": "4",
"steps": ["197.26418", "569.67233", "669.81980", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_1",
"desc": "Septimal Slendro 1, from HMSL Manual, also Lou Harrison, Jacques Dudon",
"stepCount": "5",
"steps": ["8/7", "64/49", "3/2", "12/7", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_2",
"desc": "Septimal Slendro 2, from Lou Harrison, Jacques Dudon's APTOS",
"stepCount": "5",
"steps": ["9/8", "21/16", "3/2", "12/7", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_3",
"desc": "Septimal Slendro 3, Harrison, Dudon, called \"MILLS\"after Mills Gamelan",
"stepCount": "5",
"steps": ["9/8", "9/7", "3/2", "12/7", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_4",
"desc": "Septimal Slendro 4, from Lou Harrison, Jacques Dudon, called \"NAT\"",
"stepCount": "5",
"steps": ["9/8", "21/16", "3/2", "7/4", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_5",
"desc": "Septimal Slendro 5, from Jacques Dudon",
"stepCount": "5",
"steps": ["7/6", "21/16", "49/32", "343/192", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_7_6",
"desc": "Septimal Slendro 6, from Robert Walker",
"stepCount": "5",
"steps": ["8/7", "64/49", "512/343", "256/147", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_6",
"desc": "Low gender from Klandis, Bali. 1/1=180 Hz. McPhee, 1966",
"stepCount": "5",
"steps": ["208.17939", "461.59662", "727.41478", "982.51162", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_8",
"desc": "Low gender from Tabanan, Bali, 1/1=179 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["292.92561", "507.68978", "762.15035", "1005.73478", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_9",
"desc": "Low gender from Singaraja (banjar Panataran), Bali. 1/1=175 Hz. McPhee, 1966. Ayers ICMC 1996",
"stepCount": "5",
"steps": ["8/7", "9/7", "52/35", "12/7", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_10",
"desc": "Low gender from Singaraja (banjar Lod Peken), Bali, 1/1=172 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["261.10972", "465.01972", "698.59664", "991.68081", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_11",
"desc": "Low gender from Sawan, Bali, 1/1=167.5 Hz, McPhee, 1966",
"stepCount": "5",
"steps": ["231.81996", "472.01091", "679.41483", "950.27017", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_12",
"desc": "Saih angklung, 4-tone slendro from Mas village, 1/1=410 Hz, McPhee, 1966",
"stepCount": "4",
"steps": ["232.75682", "408.13275", "715.97317", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_13",
"desc": "Saih angklung, 4-tone slendro from Kamassan village, 1/1=400 Hz, McPhee, 1966",
"stepCount": "4",
"steps": ["9/8", "368.91423", "730.57109", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_14",
"desc": "Saih angklung, 4-tone slendro from Sayan village, 1/1=365 Hz, McPhee, 1966",
"stepCount": "4",
"steps": ["242.99144", "492.10594", "753.35844", "2/1"],
"type": "gamelan"
},
{
"id": "slendro_15",
"desc": "Saih angklung, 4-tone slendro from Tabanan, 1/1=326 Hz, McPhee, 1966",
"stepCount": "4",
"steps": ["242.42236", "471.28660", "687.73534", "2/1"],
"type": "gamelan"
},
{
"id": "slendrob_1",
"desc": "Gamelan miring of Musadikrama, desa Katur, Bajanegara. 1/1=434 Hz",
"stepCount": "5",
"steps": [
"279.363 cents",
"531.624 cents",
"777.408 cents",
"1039.179 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendrob_2",
"desc": "Gamelan miring from Bajanegara. 1/1=262 Hz",
"stepCount": "5",
"steps": [
"280.036 cents",
"486.443 cents",
"728.186 cents",
"936.430 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendrob_3",
"desc": "Gamelan miring from Ngumpak, Bajanegara. 1/1=266 Hz",
"stepCount": "5",
"steps": [
"265.010 cents",
"465.193 cents",
"727.795 cents",
"929.328 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_1",
"desc": "Kyahi Kanyut mesem slendro (Mangku Nagaran Solo). 1/1=291 Hz",
"stepCount": "5",
"steps": [
"223.000 cents",
"476.000 cents",
"712.000 cents",
"937.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_2",
"desc": "Kyahi Pengawe sari (Paku Alaman, Jogja). 1/1=295 Hz.",
"stepCount": "5",
"steps": [
"251.000 cents",
"484.000 cents",
"718.000 cents",
"951.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_3",
"desc": "Gamelan slendro of R.M. Jayadipura, Jogja. 1/1=231 Hz",
"stepCount": "5",
"steps": [
"245.000 cents",
"476.000 cents",
"715.000 cents",
"946.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_4",
"desc": "Gamelan slendro, Rancha iyuh, Tanggerang, Batavia. 1/1=282.5 Hz",
"stepCount": "5",
"steps": [
"232.000 cents",
"473.000 cents",
"718.000 cents",
"940.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_5",
"desc": "Gender wayang from Pliatan, South Bali. 1/1=611 Hz",
"stepCount": "5",
"steps": [
"236.000 cents",
"454.000 cents",
"705.000 cents",
"928.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "slendroc_6",
"desc": "from William Malm: Music Cultures of the Pacific, the Near East and Asia.",
"stepCount": "10",
"steps": [
"218.000 cents",
"473.000 cents",
"721.000 cents",
"954.000 cents",
"1213.000 cents",
"1458.000 cents",
"1695.000 cents",
"1929.000 cents",
"2174.000 cents",
"2441.000 cents"
],
"type": "gamelan"
},
{
"id": "slendrod_1",
"desc": "Gender wayang from Ubud (S. Bali). 1/1=347 Hz",
"stepCount": "5",
"steps": [
"193.000 cents",
"457.000 cents",
"687.000 cents",
"919.000 cents",
"2/1"
],
"type": "gamelan"
},
{
"id": "aeolic",
"desc": "Ancient Greek Aeolic, also tritriadic scale of the 54:64:81 triad",
"stepCount": "7",
"steps": ["9/8", "32/27", "4/3", "3/2", "128/81", "16/9", "2/1"],
"type": "greek"
},
{
"id": "dorian_schl",
"desc": "Schlesinger's Dorian Piano Tuning (Sub 22)",
"stepCount": "12",
"steps": [
"22/21",
"11/10",
"22/19",
"11/9",
"22/17",
"11/8",
"22/15",
"11/7",
"22/13",
"44/25",
"11/6",
"2/1"
],
"type": "greek"
},
{
"id": "dorian_tri_1",
"desc": "Schlesinger's Dorian Harmonia in the first trichromatic genus",
"stepCount": "7",
"steps": ["33/32", "33/31", "11/8", "11/7", "66/41", "33/20", "2/1"],
"type": "greek"
},
{
"id": "dorian_tri_2",
"desc": "Schlesinger's Dorian Harmonia in the second trichromatic genus",
"stepCount": "7",
"steps": ["33/32", "11/10", "11/8", "11/7", "66/41", "22/13", "2/1"],
"type": "greek"
},
{
"id": "ionic",
"desc": "Ancient greek Ionic",
"stepCount": "7",
"steps": ["9/8", "5/4", "4/3", "3/2", "5/3", "9/5", "2"],
"type": "greek"
},
{
"id": "lydian_diat_2",
"desc": "Schlesinger's Lydian Harmonia, a subharmonic series through 13 from 26",
"stepCount": "8",
"steps": [
"13/12",
"13/11",
"13/10",
"26/19",
"13/9",
"13/8",
"13/7",
"2/1"
],
"type": "greek"
},
{
"id": "mixol_diat_2",
"desc": "Schlesinger's Mixolydian Harmonia, a subharmonic series though 13 from 28",
"stepCount": "8",
"steps": ["14/13", "7/6", "14/11", "4/3", "7/5", "14/9", "7/4", "2/1"],
"type": "greek"
},
{
"id": "partch_greek",
"desc": "Partch Greek scales from \"Two Studies on Ancient Greek Scales\"on black/white",
"stepCount": "12",
"steps": [
"1/1",
"28/27",
"9/8",
"16/15",
"4/3",
"6/5",
"3/2",
"3/2",
"14/9",
"8/5",
"8/5",
"2/1"
],
"type": "greek"
},
{
"id": "phrygian",
"desc": "Old Phrygian ??",
"stepCount": "12",
"steps": [
"10/9",
"6/5",
"5/4",
"4/3",
"27/20",
"40/27",
"3/2",
"8/5",
"5/3",
"16/9",
"9/5",
"2"
],
"type": "greek"
},
{
"id": "xenakis_chrom",
"desc": "Xenakis's Byzantine Liturgical mode, 5 + 19 + 6 parts",
"stepCount": "7",
"steps": [
"83.33333",
"400.00000",
"500.00000",
"700.00000",
"783.33333",
"1100.00000",
"2/1"
],
"type": "greek"
},
{
"id": "xenakis_diat",
"desc": "Xenakis's Byzantine Liturgical mode, 12 + 11 + 7 parts",
"stepCount": "7",
"steps": [
"200.00000",
"383.33333",
"500.00000",
"700.00000",
"900.00000",
"1083.33333",
"2/1"
],
"type": "greek"
},
{
"id": "xenakis_schrom",
"desc": "Xenakis's Byzantine Liturgical mode, 7 + 16 + 7 parts",
"stepCount": "7",
"steps": [
"116.66667",
"383.33333",
"500.00000",
"700.00000",
"816.66667",
"1083.33333",
"2/1"
],
"type": "greek"
},
{
"id": "young_wt",
"desc": "William Lyman Young \"exquisite 3/4 tone Hellenic Lyre\"dorian",
"stepCount": "7",
"steps": ["12/11", "13/11", "4/3", "3/2", "18/11", "39/22", "2/1"],
"type": "greek"
},
{
"id": "gunkali",
"desc": "Indian mode Gunkali, see Dani�lou: Intr. to the Stud. of Mus. Scales, p.175",
"stepCount": "7",
"steps": ["135/128", "27/25", "4/3", "3/2", "25/16", "8/5", "2/1"],
"type": "indian"
},
{
"id": "indian_12",
"desc": "North Indian Gamut, modern Hindustani gamut out of 22 or more shrutis",
"stepCount": "12",
"steps": [
"16/15",
"9/8",
"6/5",
"5/4",
"4/3",
"45/32",
"3/2",
"8/5",
"27/16",
"9/5",
"15/8",
"2/1"
],
"type": "indian"
},
{
"id": "indian_ayyar",
"desc": "Carnatic sruti system, C.Subrahmanya Ayyar, 1976. alt:21/20 25/16 63/40 40/21",
"stepCount": "22",
"steps": [
"25/24",
"16/15",
"10/9",
"9/8",
"7/6",
"6/5",
"5/4",
"9/7",
"4/3",
"11/8",
"7/5",
"10/7",
"3/2",
"14/9",
"8/5",
"5/3",
"27/16",
"7/4",
"9/5",
"15/8",
"48/25",
"2/1"
],
"type": "indian"
},
{
"id": "indian_hrdaya1",
"desc": "From Hrdayakautaka of Hrdaya Narayana (17th c) Bhatkande's interpretation",
"stepCount": "12",
"steps": [
"27/25",
"9/8",
"6/5",
"54/43",
"4/3",
"162/113",
"3/2",
"18/11",
"27/16",
"9/5",
"81/43",
"2/1"
],
"type": "indian"
},
{
"id": "indian_hrdaya2",
"desc": "From Hrdayakautaka of Hrdaya Narayana (17th c) Levy's interpretation",
"stepCount": "12",
"steps": [
"27/25",
"9/8",
"6/5",
"24/19",
"4/3",
"36/25",
"3/2",
"18/11",
"12/7",
"9/5",
"36/19",
"2/1"
],
"type": "indian"
},
{
"id": "indian_invrot",
"desc": "Inverted and rotated North Indian gamut",
"stepCount": "12",
"steps": [
"128/125",
"16/15",
"6/5",
"5/4",
"32/25",
"4/3",
"3/2",
"8/5",
"128/75",
"15/8",
"48/25",
"2/1"
],
"type": "indian"
},
{
"id": "indian_magrama",
"desc": "Indian mode Ma-grama (Sa Ri Ga Ma Pa Dha Ni Sa)",
"stepCount": "7",
"steps": ["9/8", "5/4", "45/32", "3/2", "27/16", "15/8", "2/1"],
"type": "indian"
},
{
"id": "indian_mystical_22",
"desc": "Srinivasan Nambirajan, 11-limit shruti scale",
"stepCount": "23",
"steps": [
"12/11",
"11/10",
"10/9",
"9/8",
"8/7",
"7/6",
"6/5",
"11/9",
"5/4",
"9/7",
"4/3",
"11/8",
"7/5",
"10/7",
"3/2",
"11/7",
"8/5",
"5/3",
"12/7",
"7/4",
"9/5",
"11/6",
"2/1"
],
"type": "indian"
},
{
"id": "indian_newbengali",
"desc": "Modern Bengali scale,S.M. Tagore: The mus. scales of the Hindus,Calcutta 1884",
"stepCount": "22",
"steps": [
"49.000 cents",
"99.000 cents",
"151.000 cents",
"9/8",
"259.000 cents",
"6/5",
"374.000 cents",
"435.000 cents",
"4/3",
"543.000 cents",
"45/32",
"637.000 cents",
"685.000 cents",
"736.000 cents",
"787.000 cents",
"841.000 cents",
"896.000 cents",
"952.000 cents",
"1011.000 cents",
"1070.000 cents",
"1135.000 cents",
"2/1"
],
"type": "indian"
},
{
"id": "indian_old_2_ellis",
"desc": "Ellis Old Indian Chrom2, Helmholtz, p. 517. This is a 4 cent appr. to #73",
"stepCount": "22",
"steps": [
"32/31",
"17/16",
"12/11",
"9/8",
"7/6",
"29/24",
"5/4",
"31/24",
"4/3",
"11/8",
"17/12",
"16/11",
"3/2",
"17/11",
"27/17",
"18/11",
"27/16",
"7/4",
"29/16",
"15/8",
"29/15",
"2/1"
],
"type": "indian"
},
{
"id": "indian_oldellis",
"desc": "Ellis Old Indian Chromatic, Helmholtz, p. 517. This is a 0.5 cent appr. to #73",
"stepCount": "22",
"steps": [
"51.000 cents",
"35/33",
"153.000 cents",
"9/8",
"264.667 cents",
"325.333 cents",
"5/4",
"442.000 cents",
"4/3",
"549.000 cents",
"600.000 cents",
"651.000 cents",
"3/2",
"753.000 cents",
"35/22",
"855.000 cents",
"27/16",
"966.667 cents",
"1027.333 cents",
"15/8",
"1144.000 cents",
"2/1"
],
"type": "indian"
},
{
"id": "indian_raja",
"desc": "A folk scale from Rajasthan, India",
"stepCount": "6",
"steps": ["9/8", "5/4", "4/3", "3/2", "15/8", "2/1"],
"type": "indian"
},
{
"id": "indian_sagrama",
"desc": "Indian mode Sa-grama (Sa Ri Ga Ma Pa Dha Ni Sa), inverse of Didymus' diatonic",
"stepCount": "7",
"steps": ["9/8", "5/4", "4/3", "3/2", "27/16", "15/8", "2/1"],
"type": "indian"
},
{
"id": "indian_srutiharm",
"desc": "B. Chaitanya Deva's sruti harmonium and S. Ramanathan's sruti vina, 1973. B.C. Deva, The Music of India, 1981, p. 109-110",
"stepCount": "22",
"steps": [
"86.57974",
"110.54184",
"191.88995",
"203.20525",
"296.51143",
"312.46762",
"390.11445",
"415.24165",
"512.25493",
"526.34918",
"599.63988",
"621.92119",
"708.28493",
"798.55929",
"826.32309",
"891.95186",
"907.03896",
"1005.57624",
"1026.73211",
"1098.80578",
"1118.85891",
"2/1"
],
"type": "indian"
},
{
"id": "indian_srutivina",
"desc": "Raja S.M. Tagore's sruti vina, measured by Ellis and Hipkins, 1886. 1/1=241.2",
"stepCount": "22",
"steps": [
"45.338 cents",
"111.193 cents",
"169.436 cents",
"222.630 cents",
"267.486 cents",
"316.000 cents",
"389.182 cents",
"436.121 cents",
"505.565 cents",
"544.256 cents",
"583.127 cents",
"640.588 cents",
"712.450 cents",
"749.156 cents",
"806.854 cents",
"855.262 cents",
"916.783 cents",
"953.997 cents",
"1012.565 cents",
"1076.939 cents",
"1136.401 cents",
"1219.981 cents"
],
"type": "indian"
},
{
"id": "indian_vina",
"desc": "Observed South Indian tuning of a vina, Ellis",
"stepCount": "12",
"steps": [
"97.000 cents",
"195.000 cents",
"312.000 cents",
"397.000 cents",
"515.000 cents",
"596.000 cents",
"692.000 cents",
"782.000 cents",
"883.000 cents",
"997.000 cents",
"1092.000 cents",
"1207.000 cents"
],
"type": "indian"
},
{
"id": "indian_vina_2",
"desc": "Observed tuning of old vina in Tanjore Palace, Ellis and Hipkins. 1/1=210.7 Hz",
"stepCount": "24",
"steps": [
"99.000 cents",
"195.000 cents",
"288.000 cents",
"382.000 cents",
"478.000 cents",
"571.000 cents",
"675.000 cents",
"774.000 cents",
"869.000 cents",
"959.000 cents",
"1054.000 cents",
"1148.000 cents",
"1254.000 cents",
"1353.000 cents",
"1444.000 cents",
"1543.000 cents",
"1650.000 cents",
"1741.000 cents",
"1838.000 cents",
"1934.000 cents",
"2032.000 cents",
"2121.000 cents",
"2220.000 cents",
"2324.000 cents"
],
"type": "indian"
},
{
"id": "indian_vina_3",
"desc": "Tuning of K.S. Subramanian's vina (1983)",
"stepCount": "12",
"steps": [
"256/243",
"9/8",
"32/27",
"5/4",
"4/3",
"45/32",
"3/2",
"128/81",
"27/16",
"16/9",
"15/8",
"2/1"
],
"type": "indian"
},
{
"id": "indian",
"desc": "Indian shruti scale",
"stepCount": "22",
"steps": [
"256/243",
"16/15",
"10/9",
"9/8",
"32/27",
"6/5",
"5/4",
"81/64",
"4/3",
"27/20",
"45/32",
"729/512",
"3/2",
"128/81",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"243/128",
"2/1"
],
"type": "indian"
},
{
"id": "indian_2_sm",
"desc": "Shruti/Mathieu's Magic Mode scale in 289-equal (schismic) temperament",
"stepCount": "22",
"steps": [
"91.34948",
"112.11073",
"182.69896",
"203.46021",
"294.80969",
"315.57093",
"386.15917",
"406.92042",
"498.26990",
"519.03114",
"589.61938",
"610.38062",
"701.73010",
"793.07958",
"813.84083",
"884.42907",
"905.19031",
"996.53979",
"1017.30104",
"1087.88927",
"1108.65052",
"2/1"
],
"type": "indian"
},
{
"id": "indian_2",
"desc": "Indian shruti scale with tritone 64/45 schisma lower (Mr.Devarajan, Madurai)",
"stepCount": "22",
"steps": [
"256/243",
"16/15",
"10/9",
"9/8",
"32/27",
"6/5",
"5/4",
"81/64",
"4/3",
"27/20",
"45/32",
"64/45",
"3/2",
"128/81",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"243/128",
"2/1"
],
"type": "indian"
},
{
"id": "indian_3",
"desc": "Indian shruti scale with 32/31 and 31/16 and tritone schisma lower",
"stepCount": "22",
"steps": [
"32/31",
"16/15",
"10/9",
"9/8",
"32/27",
"6/5",
"5/4",
"81/64",
"4/3",
"27/20",
"45/32",
"64/45",
"3/2",
"128/81",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"31/16",
"2/1"
],
"type": "indian"
},
{
"id": "indian_4",
"desc": "Indian shruti scale according to Firoze Framjee: Text book of Indian music",
"stepCount": "22",
"steps": [
"135/128",
"16/15",
"10/9",
"9/8",
"32/27",
"6/5",
"5/4",
"512/405",
"4/3",
"45/32",
"64/45",
"40/27",
"3/2",
"405/256",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"256/135",
"2/1"
],
"type": "indian"
},
{
"id": "indian_5",
"desc": "23 Shrutis, Amit Mitra, 1/1 no. 12:2, Table C.",
"stepCount": "23",
"steps": [
"256/243",
"16/15",
"10/9",
"9/8",
"32/27",
"6/5",
"5/4",
"81/64",
"4/3",
"27/20",
"45/32",
"64/45",
"40/27",
"3/2",
"128/81",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"243/128",
"2/1"
],
"type": "indian"
},
{
"id": "indian_6",
"desc": "Shrutis calculated by generation method, Amit Mitra, 1/1 no. 12:2, Table B.",
"stepCount": "77",
"steps": [
"81/80",
"128/125",
"250/243",
"648/625",
"25/24",
"256/243",
"135/128",
"16/15",
"27/25",
"625/576",
"10/9",
"9/8",
"256/225",
"144/125",
"125/108",
"75/64",
"32/27",
"6/5",
"243/200",
"625/512",
"768/625",
"100/81",
"5/4",
"512/405",
"81/64",
"32/25",
"625/486",
"162/125",
"125/96",
"320/243",
"675/512",
"4/3",
"27/20",
"512/375",
"864/625",
"25/18",
"45/32",
"64/45",
"729/512",
"36/25",
"625/432",
"729/500",
"375/256",
"40/27",
"3/2",
"243/160",
"192/125",
"125/81",
"972/625",
"25/16",
"128/81",
"405/256",
"8/5",
"81/50",
"625/384",
"1024/625",
"400/243",
"5/3",
"27/16",
"128/75",
"216/125",
"125/72",
"225/128",
"16/9",
"9/5",
"729/400",
"1152/625",
"50/27",
"15/8",
"256/135",
"243/128",
"48/25",
"625/324",
"243/125",
"125/64",
"160/81",
"2/1"
],
"type": "indian"
},
{
"id": "hirajoshi",
"desc": "Observed Japanese pentatonic koto scale. Helmholtz/Ellis p.519, nr.112",
"stepCount": "5",
"steps": ["185.00000", "337.00000", "683.00000", "790.00000", "2/1"],
"type": "japanese"
},
{
"id": "hirajoshi_2",
"desc": "Japanese pentatonic koto scale, theoretical. Helmholz/Ellis p.519, nr.110",
"stepCount": "5",
"steps": ["9/8", "6/5", "3/2", "8/5", "2/1"],
"type": "japanese"
},
{
"id": "hirajoshi_3",
"desc": "Observed Japanese pentatonic koto scale. Helmholtz/Ellis p.519, nr.111",
"stepCount": "5",
"steps": ["193.00000", "357.00000", "719.00000", "801.00000", "1199.00000"],
"type": "japanese"
},
{
"id": "bohlen_11",
"desc": "11-tone scale by Bohlen, generated from the 1/1 3/2 5/2 triad",
"stepCount": "11",
"steps": [
"10/9",
"6/5",
"4/3",
"3/2",
"5/3",
"9/5",
"2/1",
"9/4",
"5/2",
"27/10",
"3/1"
],
"type": "just"
},
{
"id": "bohlen_12",
"desc": "12-tone scale by Bohlen generated from the 4:7:10 triad, Acustica 39/2, 1978",
"stepCount": "12",
"steps": [
"11/10",
"6/5",
"30/23",
"10/7",
"11/7",
"7/4",
"21/11",
"21/10",
"23/10",
"5/2",
"11/4",
"3/1"
],
"type": "just"
},
{
"id": "carlos_super",
"desc": "Carlos Super Just",
"stepCount": "12",
"steps": [
"17/16",
"9/8",
"6/5",
"5/4",
"4/3",
"11/8",
"3/2",
"13/8",
"5/3",
"7/4",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "deporcy",
"desc": "A 15-note chord-based detempering of 7-limit porcupine",
"stepCount": "15",
"steps": [
"25/24",
"35/32",
"8/7",
"6/5",
"5/4",
"4/3",
"48/35",
"35/24",
"3/2",
"8/5",
"5/3",
"7/4",
"64/35",
"48/25",
"2/1"
],
"type": "just"
},
{
"id": "harmonic_series",
"desc": "Harmonic Series",
"stepCount": "24",
"steps": [
"1/24",
"2/24",
"3/24",
"4/24",
"5/24",
"6/24",
"7/24",
"8/24",
"9/24",
"10/24",
"11/24",
"12/24",
"13/24",
"14/24",
"15/24",
"16/24",
"17/24",
"18/24",
"19/24",
"20/24",
"21/24",
"22/24",
"23/24",
"24/24"
],
"type": "just"
},
{
"id": "ji_5_coh",
"desc": "Differential fully coherent pentatonic scale",
"stepCount": "5",
"steps": ["7/6", "4/3", "35/24", "41/24", "2/1"],
"type": "just"
},
{
"id": "ji_6_coh",
"desc": "Differential coherent 6-tone scale, OdC 2003",
"stepCount": "6",
"steps": ["9/8", "512/405", "64/45", "8/5", "16/9", "2/1"],
"type": "just"
},
{
"id": "ji_7",
"desc": "7-limit rational interpretation of 7-tET. OdC",
"stepCount": "7",
"steps": ["10/9", "128/105", "4/3", "3/2", "105/64", "9/5", "2/1"],
"type": "just"
},
{
"id": "ji_7_a",
"desc": "Superparticular approximation to 7-tET. Op de Coul, 1998",
"stepCount": "7",
"steps": ["11/10", "11/9", "4/3", "3/2", "18/11", "9/5", "2/1"],
"type": "just"
},
{
"id": "ji_8_coh",
"desc": "Differential coherent 8-tone scale, OdC, 2003",
"stepCount": "8",
"steps": [
"18816/17153",
"20479/17153",
"22289/17153",
"3105151/2195584",
"26608/17153",
"28960/17153",
"252159/137224",
"2/1"
],
"type": "just"
},
{
"id": "ji_8_coh_3",
"desc": "Differential fully coherent 8-tone scale, OdC, 2003",
"stepCount": "8",
"steps": ["17/16", "37/32", "5/4", "11/8", "3/2", "13/8", "57/32", "2/1"],
"type": "just"
},
{
"id": "ji_9_coh",
"desc": "Differentially coherent 9-tone scale",
"stepCount": "9",
"steps": [
"11/10",
"6/5",
"5/4",
"7/5",
"3/2",
"8/5",
"9/5",
"19/10",
"2/1"
],
"type": "just"
},
{
"id": "ji_10_coh",
"desc": "Differentially coherent 10-tone scale",
"stepCount": "10",
"steps": [
"13/12",
"55/48",
"5/4",
"4/3",
"17/12",
"3/2",
"5/3",
"7/4",
"89/48",
"2/1"
],
"type": "just"
},
{
"id": "ji_10_coh_2",
"desc": "Other diff. coherent 10-tone scale",
"stepCount": "10",
"steps": [
"7/6",
"6/5",
"4/3",
"7/5",
"3/2",
"8/5",
"5/3",
"9/5",
"11/6",
"2/1"
],
"type": "just"
},
{
"id": "ji_11",
"desc": "3 and 7 prime rational interpretation of 11-tET. OdC 2000",
"stepCount": "11",
"steps": [
"343/324",
"9/8",
"98/81",
"9/7",
"49/36",
"72/49",
"14/9",
"81/49",
"16/9",
"648/343",
"2/1"
],
"type": "just"
},
{
"id": "h_ji_12",
"desc": "Basic JI with 7-limit tritone. Robert Rich: Geometry",
"stepCount": "12",
"steps": [
"16/15",
"9/8",
"6/5",
"5/4",
"4/3",
"7/5",
"3/2",
"8/5",
"5/3",
"9/5",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_12_a",
"desc": "7-limit 12-tone scale",
"stepCount": "12",
"steps": [
"16/15",
"9/8",
"7/6",
"5/4",
"4/3",
"7/5",
"3/2",
"8/5",
"12/7",
"7/4",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_12_b",
"desc": "alternate 7-limit 12-tone scale",
"stepCount": "12",
"steps": [
"25/24",
"10/9",
"7/6",
"5/4",
"21/16",
"7/5",
"3/2",
"8/5",
"12/7",
"7/4",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_13",
"desc": "5-limit 12-tone symmetrical scale with two tritones",
"stepCount": "13",
"steps": [
"16/15",
"9/8",
"32/27",
"5/4",
"4/3",
"45/32",
"64/45",
"3/2",
"8/5",
"27/16",
"16/9",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_16",
"desc": "Mike Battaglia 5-limit 16-tone scale",
"stepCount": "16",
"steps": [
"16/15",
"10/9",
"9/8",
"6/5",
"5/4",
"4/3",
"45/32",
"3/2",
"25/16",
"8/5",
"5/3",
"27/16",
"16/9",
"9/5",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_17",
"desc": "3 and 7 prime rational interpretation of 17-tET. OdC",
"stepCount": "17",
"steps": [
"28/27",
"243/224",
"9/8",
"32/27",
"896/729",
"9/7",
"4/3",
"112/81",
"81/56",
"3/2",
"14/9",
"729/448",
"27/16",
"16/9",
"448/243",
"27/14",
"2/1"
],
"type": "just"
},
{
"id": "ji_17_a",
"desc": "3, 5 and 11 prime rational interpretation of 17-tET, OdC",
"stepCount": "17",
"steps": [
"25/24",
"27/25",
"9/8",
"32/27",
"27/22",
"32/25",
"4/3",
"25/18",
"36/25",
"3/2",
"25/16",
"44/27",
"27/16",
"16/9",
"50/27",
"48/25",
"2/1"
],
"type": "just"
},
{
"id": "ji_17_b",
"desc": "Alt. 3, 5 and 11 prime rational interpretation of 17-tET, OdC",
"stepCount": "17",
"steps": [
"25/24",
"12/11",
"9/8",
"32/27",
"11/9",
"32/25",
"4/3",
"11/8",
"16/11",
"3/2",
"25/16",
"18/11",
"27/16",
"16/9",
"11/6",
"48/25",
"2/1"
],
"type": "just"
},
{
"id": "ji_18",
"desc": "11-limit approximation of 18-tET",
"stepCount": "18",
"steps": [
"80/77",
"27/25",
"55/49",
"7/6",
"40/33",
"63/50",
"55/42",
"49/36",
"99/70",
"72/49",
"55/36",
"100/63",
"33/20",
"12/7",
"98/55",
"50/27",
"77/40",
"2/1"
],
"type": "just"
},
{
"id": "ji_19",
"desc": "5-limit 19-tone scale",
"stepCount": "19",
"steps": [
"25/24",
"135/128",
"16/15",
"9/8",
"75/64",
"6/5",
"5/4",
"4/3",
"27/20",
"45/32",
"3/2",
"25/16",
"8/5",
"5/3",
"27/16",
"225/128",
"9/5",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "ji_20",
"desc": "3 and 7 prime rational interpretation of 20-tET. OdC",
"stepCount": "20",
"steps": [
"28/27",
"2187/2048",
"54/49",
"8/7",
"32/27",
"896/729",
"81/64",
"4/3",
"49/36",
"729/512",
"72/49",
"3/2",
"128/81",
"729/448",
"27/16",
"7/4",
"49/27",
"4096/2187",
"27/14",
"2/1"
],
"type": "just"
},
{
"id": "ji_21",
"desc": "7-limit 21-tone just scale, Op de Coul, 2001",
"stepCount": "21",
"steps": [
"28/27",
"16/15",
"10/9",
"8/7",
"7/6",
"6/5",
"5/4",
"9/7",
"4/3",
"7/5",
"10/7",
"3/2",
"14/9",
"8/5",
"5/3",
"12/7",
"7/4",
"9/5",
"15/8",
"27/14",
"2/1"
],
"type": "just"
},
{
"id": "ji_22",
"desc": "5-limit 22-tone scale (Zarlino?)",
"stepCount": "22",
"steps": [
"25/24",
"16/15",
"27/25",
"9/8",
"75/64",
"6/5",
"5/4",
"32/25",
"125/96",
"4/3",
"25/18",
"36/25",
"3/2",
"25/16",
"8/5",
"5/3",
"125/72",
"9/5",
"15/8",
"48/25",
"125/64",
"2/1"
],
"type": "just"
},
{
"id": "knot",
"desc": "Smallest knot in cubic lattice, American Scientist, Nov-Dec '97 p. 506-510, trefoil knot of 24 units long",
"stepCount": "24",
"steps": [
"525/512",
"15/14",
"35/32",
"9/8",
"8/7",
"75/64",
"5/4",
"4/3",
"175/128",
"7/5",
"45/32",
"35/24",
"3/2",
"25/16",
"8/5",
"105/64",
"5/3",
"12/7",
"7/4",
"225/128",
"175/96",
"64/35",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "meyer",
"desc": "Max Meyer, see Doty, David, 1/1 August 1992 (7:4) p.1 and 10-14",
"stepCount": "19",
"steps": [
"16/15",
"10/9",
"9/8",
"8/7",
"7/6",
"6/5",
"5/4",
"4/3",
"7/5",
"10/7",
"3/2",
"8/5",
"5/3",
"12/7",
"7/4",
"16/9",
"9/5",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "partch_29",
"desc": "Partch/Ptolemy 11-limit Diamond",
"stepCount": "29",
"steps": [
"12/11",
"11/10",
"10/9",
"9/8",
"8/7",
"7/6",
"6/5",
"11/9",
"5/4",
"14/11",
"9/7",
"4/3",
"11/8",
"7/5",
"10/7",
"16/11",
"3/2",
"14/9",
"11/7",
"8/5",
"18/11",
"5/3",
"12/7",
"7/4",
"16/9",
"9/5",
"20/11",
"11/6",
"2/1"
],
"type": "just"
},
{
"id": "partch_37",
"desc": "From \"Exposition on Monophony\"1933, unp. see Ayers, 1/1 vol.9(2)",
"stepCount": "37",
"steps": [
"49/48",
"33/32",
"22/21",
"16/15",
"12/11",
"11/10",
"10/9",
"9/8",
"8/7",
"7/6",
"6/5",
"11/9",
"5/4",
"14/11",
"9/7",
"4/3",
"11/8",
"7/5",
"10/7",
"16/11",
"3/2",
"14/9",
"11/7",
"8/5",
"18/11",
"5/3",
"12/7",
"7/4",
"16/9",
"9/5",
"20/11",
"11/6",
"15/8",
"21/11",
"64/33",
"96/49",
"2/1"
],
"type": "just"
},
{
"id": "partch_39",
"desc": "Ur-Partch Keyboard 39 tones, published in Interval",
"stepCount": "39",
"steps": [
"49/48",
"33/32",
"22/21",
"16/15",
"12/11",
"10/9",
"9/8",
"8/7",
"7/6",
"6/5",
"11/9",
"5/4",
"14/11",
"9/7",
"21/16",
"4/3",
"15/11",
"11/8",
"7/5",
"10/7",
"16/11",
"22/15",
"3/2",
"32/21",
"14/9",
"11/7",
"8/5",
"18/11",
"5/3",
"12/7",
"7/4",
"16/9",
"9/5",
"11/6",
"15/8",
"21/11",
"64/33",
"96/49",
"2/1"
],
"type": "just"
},
{
"id": "partch_41",
"desc": "13-limit Diamond after Partch, Genesis of a Music, p 454, 2nd edition",
"stepCount": "41",
"steps": [
"14/13",
"13/12",
"12/11",
"11/10",
"10/9",
"9/8",
"8/7",
"7/6",
"13/11",
"6/5",
"11/9",
"16/13",
"5/4",
"14/11",
"9/7",
"13/10",
"4/3",
"11/8",
"18/13",
"7/5",
"10/7",
"13/9",
"16/11",
"3/2",
"20/13",
"14/9",
"11/7",
"8/5",
"13/8",
"18/11",
"5/3",
"22/13",
"12/7",
"7/4",
"16/9",
"9/5",
"20/11",
"11/6",
"24/13",
"13/7",
"2/1"
],
"type": "just"
},
{
"id": "riley_albion",
"desc": "Terry Riley's Harp of New Albion scale, inverse Malcolm's Monochord, 1/1 on C#",
"stepCount": "12",
"steps": [
"16/15",
"9/8",
"6/5",
"5/4",
"4/3",
"64/45",
"3/2",
"8/5",
"5/3",
"16/9",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "riley_rosary",
"desc": "Terry Riley, tuning for Cactus Rosary (1993)",
"stepCount": "12",
"steps": [
"49/48",
"9/8",
"7/6",
"5/4",
"21/16",
"11/8",
"3/2",
"49/32",
"13/8",
"7/4",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "tenney_8",
"desc": "James Tenney, first eight primes octatonic",
"stepCount": "8",
"steps": ["17/16", "19/16", "5/4", "11/8", "3/2", "13/8", "7/4", "2/1"],
"type": "just"
},
{
"id": "tenney_11",
"desc": "Scale of James Tenney's \"Spectrum II\"(1995) for wind quintet",
"stepCount": "11",
"steps": [
"17/16",
"9/8",
"19/16",
"5/4",
"21/16",
"11/8",
"3/2",
"25/16",
"13/8",
"7/4",
"2/1"
],
"type": "just"
},
{
"id": "young_lm_guitar",
"desc": "LaMonte Young, Tuning of For Guitar '58. 1/1 March '92, inv.of Mersenne lute 1",
"stepCount": "12",
"steps": [
"16/15",
"10/9",
"6/5",
"5/4",
"4/3",
"45/32",
"3/2",
"8/5",
"5/3",
"9/5",
"15/8",
"2/1"
],
"type": "just"
},
{
"id": "young_lm_piano",
"desc": "LaMonte Young's Well-Tempered Piano",
"stepCount": "12",
"steps": [
"567/512",
"9/8",
"147/128",
"21/16",
"1323/1024",
"189/128",
"3/2",
"49/32",
"7/4",
"441/256",
"63/32",
"2/1"
],
"type": "just"
}
]
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