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bugeats/5-limit-space

Created August 29, 2017 17:38
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3D Space for 5-limit intervals?
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5-limit-space
3D Space for 5-limit intervals?
(16, 15)p * (25, 24)q * (81, 80)r
Coordinates Ratio Name Cents Resonant Harmonic Resonant Subharmonic
(1, 1, 1) 9:8 major whole tone 203.91 9 none
(1, 1, 2) 729:640 unknown 225.42 none none
(1, 1, 3) 59049:51200 unknown 246.92 none none
(1, 1, 4) 4782969:4096000 unknown 268.43 none none
(1, 1, 5) 387420489:327680000 unknown 289.94 none none
(1, 1, 6) 31381059609:26214400000 unknown 311.44 none none
(1, 1, 7) 2541865828329:2097152000000 unknown 332.95 none none
(1, 1, 8) 2316275236064801:1887436800000000 unknown 354.45 none none
(1, 1, 9) 5863071691289029:4718592000000000 unknown 375.96 none none
(1, 2, 1) 75:64 reduced 75th harmonic 274.58 75 none
(1, 2, 2) 1215:1024 unknown 296.09 none none
(1, 2, 3) 19683:16384 unknown 317.60 none none
(1, 2, 4) 1594323:1310720 unknown 339.10 none none
(1, 2, 5) 129140163:104857600 unknown 360.61 none none
(1, 2, 6) 10460353203:8388608000 unknown 382.11 none none
(1, 2, 7) 847288609443:671088640000 unknown 403.62 none none
(1, 2, 8) 301598338029271:235929600000000 unknown 425.13 none none
(1, 2, 9) 2290262379409777:1769472000000000 unknown 446.63 none none
(1, 3, 1) 625:512 unknown 345.25 none none
(1, 3, 2) 10125:8192 unknown 366.76 none none
(1, 3, 3) 164025:131072 unknown 388.27 none none
(1, 3, 4) 2657205:2097152 unknown 409.77 none none
(1, 3, 5) 43046721:33554432 unknown 431.28 none none
(1, 3, 6) 3486784401:2684354560 unknown 452.79 none none
(1, 3, 7) 2978749017573047:2264924160000000 unknown 474.29 none none
(1, 3, 8) 5654968838048831:4246732800000000 unknown 495.80 none none
(1, 3, 9) 88358888094513:65536000000000 unknown 517.31 none none
(1, 4, 1) 15625:12288 unknown 415.93 none none
(1, 4, 2) 84375:65536 unknown 437.43 none none
(1, 4, 3) 1366875:1048576 unknown 458.94 none none
(1, 4, 4) 22143375:16777216 unknown 480.45 none none
(1, 4, 5) 358722675:268435456 unknown 501.95 none none
(1, 4, 6) 5516201884394531:4076863488000000 unknown 523.46 none none
(1, 4, 7) 775715889992981:566231040000000 unknown 544.97 none none
(1, 4, 8) 8835888809451299:6370099200000000 unknown 566.47 none none
(1, 4, 9) 5591460887230901:3981312000000000 unknown 587.98 none none
(1, 5, 1) 390625:294912 unknown 486.60 none none
(1, 5, 2) 703125:524288 unknown 508.11 none none
(1, 5, 3) 11390625:8388608 unknown 529.61 none none
(1, 5, 4) 184528125:134217728 unknown 551.12 none none
(1, 5, 5) 2989355625:2147483648 unknown 572.62 none none
(1, 5, 6) 1723813088873291:1223059046400000 unknown 594.13 none none
(1, 5, 7) 1818084117171049:1274019840000000 unknown 615.64 none none
(1, 5, 8) 2301012710794609:1592524800000000 unknown 637.14 none none
(1, 5, 9) 4368328818149141:2985984000000000 unknown 658.65 none none
(1, 6, 1) 9765625:7077888 unknown 557.27 none none
(1, 6, 2) 5859375:4194304 unknown 578.78 none none
(1, 6, 3) 94921875:67108864 unknown 600.28 none none
(1, 6, 4) 1537734375:1073741824 unknown 621.79 none none
(1, 6, 5) 5320410768127441:3669177139200000 unknown 643.30 none none
(1, 6, 6) 6733644878411293:4586471424000000 unknown 664.80 none none
(1, 6, 7) 8522269299239293:5733089280000000 unknown 686.31 none none
(1, 6, 8) 1078599708184973:716636160000000 unknown 707.82 none none
(1, 6, 9) 6825513778358033:4478976000000000 unknown 729.32 none none
(1, 7, 1) 244140625:169869312 unknown 627.94 none none
(1, 7, 2) 48828125:33554432 unknown 649.45 none none
(1, 7, 3) 791015625:536870912 unknown 670.96 none none
(1, 7, 4) 2189469451904297:1467670855680000 unknown 692.46 none none
(1, 7, 5) 8313141825199127:5503765708800000 unknown 713.97 none none
(1, 7, 6) 1753553353752941:1146617856000000 unknown 735.48 none none
(1, 7, 7) 6658022890030697:4299816960000000 unknown 756.98 none none
(1, 7, 8) 8426560220195101:5374771200000000 unknown 778.49 none none
(1, 7, 9) 5332432639342213:3359232000000000 unknown 799.99 none none
(1, 8, 1) 6103515625:4076863488 unknown 698.62 none none
(1, 8, 2) 1220703125:805306368 unknown 720.12 none none
(1, 8, 3) 4054573059082031:2641807540224000 unknown 741.63 none none
(1, 8, 4) 213815376162529:137594142720000 unknown 763.14 none none
(1, 8, 5) 1082440341822803:687970713600000 unknown 784.64 none none
(1, 8, 6) 91330903841299:57330892800000 unknown 806.15 none none
(1, 8, 7) 2600790191418241:1612431360000000 unknown 827.65 none none
(1, 8, 8) 2194416724009141:1343692800000000 unknown 849.16 none none
(1, 8, 9) 520745374935763:314928000000000 unknown 870.67 none none
(1, 9, 1) 152587890625:97844723712 unknown 769.29 none none
(1, 9, 2) 30517578125:19327352832 unknown 790.80 none none
(1, 9, 3) 3167635202407837:1981355655168000 unknown 812.30 none none
(1, 9, 4) 8018076606094837:4953389137920000 unknown 833.81 none none
(1, 9, 5) 5073939102294389:3095868211200000 unknown 855.31 none none
(1, 9, 6) 802713022042667:483729408000000 unknown 876.82 none none
(1, 9, 7) 2031867337045501:1209323520000000 unknown 898.33 none none
(1, 9, 8) 642895524612053:377913600000000 unknown 919.83 none none
(1, 9, 9) 3254658593348519:1889568000000000 unknown 941.34 none none
(2, 1, 1) 6:5 minor third 315.64 none none
(2, 1, 2) 243:200 unknown 337.15 none none
(2, 1, 3) 19683:16000 unknown 358.65 none none
(2, 1, 4) 1594323:1280000 unknown 380.16 none none
(2, 1, 5) 129140163:102400000 unknown 401.67 none none
(2, 1, 6) 10460353203:8192000000 unknown 423.17 none none
(2, 1, 7) 847288609443:655360000000 unknown 444.68 none none
(2, 1, 8) 68630377364883:52428800000000 unknown 466.19 none none
(2, 1, 9) 1563485784343741:1179648000000000 unknown 487.69 none none
(2, 2, 1) 5:4 major third 386.31 5 none
(2, 2, 2) 81:64 pythagorean major third 407.82 none none
(2, 2, 3) 6561:5120 unknown 429.33 none none
(2, 2, 4) 531441:409600 unknown 450.83 none none
(2, 2, 5) 43046721:32768000 unknown 472.34 none none
(2, 2, 6) 3486784401:2621440000 unknown 493.85 none none
(2, 2, 7) 282429536481:209715200000 unknown 515.35 none none
(2, 2, 8) 5790688090162003:4246732800000000 unknown 536.86 none none
(2, 2, 9) 3664419807055643:2654208000000000 unknown 558.36 none none
(2, 3, 1) 125:96 unknown 456.99 none none
(2, 3, 2) 675:512 unknown 478.49 none none
(2, 3, 3) 10935:8192 unknown 500.00 none none
(2, 3, 4) 177147:131072 unknown 521.51 none none
(2, 3, 5) 14348907:10485760 unknown 543.01 none none
(2, 3, 6) 1162261467:838860800 unknown 564.52 none none
(2, 3, 7) 446812352635957:318504960000000 unknown 586.02 none none
(2, 3, 8) 301598338029271:212336640000000 unknown 607.53 none none
(2, 3, 9) 2862827974262221:1990656000000000 unknown 629.04 none none
(2, 4, 1) 3125:2304 unknown 527.66 none none
(2, 4, 2) 5625:4096 unknown 549.16 none none
(2, 4, 3) 91125:65536 unknown 570.67 none none
(2, 4, 4) 1476225:1048576 unknown 592.18 none none
(2, 4, 5) 23914845:16777216 unknown 613.68 none none
(2, 4, 6) 387420489:268435456 unknown 635.19 none none
(2, 4, 7) 5585154407949463:3822059520000000 unknown 656.70 none none
(2, 4, 8) 7068711047561039:4777574400000000 unknown 678.20 none none
(2, 4, 9) 8946337419569441:5971968000000000 unknown 699.71 none none
(2, 5, 1) 78125:55296 unknown 598.33 none none
(2, 5, 2) 46875:32768 unknown 619.84 none none
(2, 5, 3) 759375:524288 unknown 641.34 none none
(2, 5, 4) 12301875:8388608 unknown 662.85 none none
(2, 5, 5) 199290375:134217728 unknown 684.36 none none
(2, 5, 6) 1723813088873291:1146617856000000 unknown 705.86 none none
(2, 5, 7) 2181700940605259:1433272320000000 unknown 727.37 none none
(2, 5, 8) 2761215252953531:1791590400000000 unknown 748.88 none none
(2, 5, 9) 1164887684839771:746496000000000 unknown 770.38 none none
(2, 6, 1) 1953125:1327104 unknown 669.00 none none
(2, 6, 2) 390625:262144 unknown 690.51 none none
(2, 6, 3) 6328125:4194304 unknown 712.02 none none
(2, 6, 4) 102515625:67108864 unknown 733.52 none none
(2, 6, 5) 4256328614501953:2751882854400000 unknown 755.03 none none
(2, 6, 6) 2693457951364517:1719926784000000 unknown 776.53 none none
(2, 6, 7) 3408907719695717:2149908480000000 unknown 798.04 none none
(2, 6, 8) 1078599708184973:671846400000000 unknown 819.55 none none
(2, 6, 9) 910068503781071:559872000000000 unknown 841.05 none none
(2, 7, 1) 48828125:31850496 unknown 739.68 none none
(2, 7, 2) 9765625:6291456 unknown 761.18 none none
(2, 7, 3) 52734375:33554432 unknown 782.69 none none
(2, 7, 4) 656840835571289:412782428160000 unknown 804.19 none none
(2, 7, 5) 3325256730079651:2063912140800000 unknown 825.70 none none
(2, 7, 6) 2104264024503529:1289945088000000 unknown 847.21 none none
(2, 7, 7) 2663209156012279:1612431360000000 unknown 868.71 none none
(2, 7, 8) 6741248176156081:4031078400000000 unknown 890.22 none none
(2, 7, 9) 947988024771949:559872000000000 unknown 911.73 none none
(2, 8, 1) 1220703125:764411904 unknown 810.35 none none
(2, 8, 2) 244140625:150994944 unknown 831.85 none none
(2, 8, 3) 439453125:268435456 unknown 853.36 none none
(2, 8, 4) 912278938293457:550376570880000 unknown 874.87 none none
(2, 8, 5) 2597856820374727:1547934105600000 unknown 896.37 none none
(2, 8, 6) 91330903841299:53747712000000 unknown 917.88 none none
(2, 8, 7) 2080632153134593:1209323520000000 unknown 939.39 none none
(2, 8, 8) 2633300068810969:1511654400000000 unknown 960.89 none none
(2, 8, 9) 3332770399588883:1889568000000000 unknown 982.40 none none
(2, 9, 1) 30517578125:18345885696 unknown 881.02 none none
(2, 9, 2) 6103515625:3623878656 unknown 902.53 none none
(2, 9, 3) 5068216323852539:2972033482752000 unknown 924.03 none none
(2, 9, 4) 213815376162529:123834728448000 unknown 945.54 none none
(2, 9, 5) 8118302563671023:4643802316800000 unknown 967.05 none none
(2, 9, 6) 5137363341073069:2902376448000000 unknown 988.55 none none
(2, 9, 7) 2167325159515201:1209323520000000 unknown 1010.06 none none
(2, 9, 8) 8229062715034279:4534963200000000 unknown 1031.56 none none
(2, 9, 9) 520745374935763:283435200000000 unknown 1053.07 none none
(3, 1, 1) 32:25 reduced 25th subharmonic 427.37 none 25
(3, 1, 2) 162:125 unknown 448.88 none none
(3, 1, 3) 6561:5000 unknown 470.39 none none
(3, 1, 4) 531441:400000 unknown 491.89 none none
(3, 1, 5) 43046721:32000000 unknown 513.40 none none
(3, 1, 6) 3486784401:2560000000 unknown 534.90 none none
(3, 1, 7) 282429536481:204800000000 unknown 556.41 none none
(3, 1, 8) 22876792454961:16384000000000 unknown 577.92 none none
(3, 1, 9) 1563485784343741:1105920000000000 unknown 599.42 none none
(3, 2, 1) 4:3 perfect fourth 498.04 none 3
(3, 2, 2) 27:20 acute fourth 519.55 none none
(3, 2, 3) 2187:1600 unknown 541.06 none none
(3, 2, 4) 177147:128000 unknown 562.56 none none
(3, 2, 5) 14348907:10240000 unknown 584.07 none none
(3, 2, 6) 1162261467:819200000 unknown 605.58 none none
(3, 2, 7) 94143178827:65536000000 unknown 627.08 none none
(3, 2, 8) 2316275236064801:1592524800000000 unknown 648.59 none none
(3, 2, 9) 5863071691289029:3981312000000000 unknown 670.10 none none
(3, 3, 1) 25:18 pental augmented fourth 568.72 none none
(3, 3, 2) 45:32 reduced 45th harmonic 590.22 45 none
(3, 3, 3) 729:512 unknown 611.73 none none
(3, 3, 4) 59049:40960 unknown 633.24 none none
(3, 3, 5) 4782969:3276800 unknown 654.74 none none
(3, 3, 6) 387420489:262144000 unknown 676.25 none none
(3, 3, 7) 31381059609:20971520000 unknown 697.76 none none
(3, 3, 8) 301598338029271:199065600000000 unknown 719.26 none none
(3, 3, 9) 2290262379409777:1492992000000000 unknown 740.77 none none
(3, 4, 1) 625:432 unknown 639.39 none none
(3, 4, 2) 375:256 unknown 660.90 none none
(3, 4, 3) 6075:4096 unknown 682.40 none none
(3, 4, 4) 98415:65536 unknown 703.91 none none
(3, 4, 5) 1594323:1048576 unknown 725.42 none none
(3, 4, 6) 129140163:83886080 unknown 746.92 none none
(3, 4, 7) 2978749017573047:1911029760000000 unknown 768.43 none none
(3, 4, 8) 5654968838048831:3583180800000000 unknown 789.93 none none
(3, 4, 9) 29452962698171:18432000000000 unknown 811.44 none none
(3, 5, 1) 15625:10368 unknown 710.06 none none
(3, 5, 2) 3125:2048 unknown 731.57 none none
(3, 5, 3) 50625:32768 unknown 753.07 none none
(3, 5, 4) 820125:524288 unknown 774.58 none none
(3, 5, 5) 13286025:8388608 unknown 796.09 none none
(3, 5, 6) 5516201884394531:3439853568000000 unknown 817.59 none none
(3, 5, 7) 775715889992981:477757440000000 unknown 839.10 none none
(3, 5, 8) 8835888809451299:5374771200000000 unknown 860.61 none none
(3, 5, 9) 5591460887230901:3359232000000000 unknown 882.11 none none
(3, 6, 1) 390625:248832 unknown 780.73 none none
(3, 6, 2) 78125:49152 unknown 802.24 none none
(3, 6, 3) 421875:262144 unknown 823.75 none none
(3, 6, 4) 6834375:4194304 unknown 845.25 none none
(3, 6, 5) 110716875:67108864 unknown 866.76 none none
(3, 6, 6) 1723813088873291:1031956070400000 unknown 888.27 none none
(3, 6, 7) 1818084117171049:1074954240000000 unknown 909.77 none none
(3, 6, 8) 2301012710794609:1343692800000000 unknown 931.28 none none
(3, 6, 9) 4368328818149141:2519424000000000 unknown 952.79 none none
(3, 7, 1) 9765625:5971968 unknown 851.41 none none
(3, 7, 2) 1953125:1179648 unknown 872.91 none none
(3, 7, 3) 3515625:2097152 unknown 894.42 none none
(3, 7, 4) 56953125:33554432 unknown 915.93 none none
(3, 7, 5) 5320410768127441:3095868211200000 unknown 937.43 none none
(3, 7, 6) 6733644878411293:3869835264000000 unknown 958.94 none none
(3, 7, 7) 8522269299239293:4837294080000000 unknown 980.44 none none
(3, 7, 8) 1078599708184973:604661760000000 unknown 1001.95 none none
(3, 7, 9) 6825513778358033:3779136000000000 unknown 1023.46 none none
(3, 8, 1) 244140625:143327232 unknown 922.08 none none
(3, 8, 2) 48828125:28311552 unknown 943.59 none none
(3, 8, 3) 29296875:16777216 unknown 965.09 none none
(3, 8, 4) 2189469451904297:1238347284480000 unknown 986.60 none none
(3, 8, 5) 8313141825199127:4643802316800000 unknown 1008.10 none none
(3, 8, 6) 1753553353752941:967458816000000 unknown 1029.61 none none
(3, 8, 7) 6658022890030697:3627970560000000 unknown 1051.12 none none
(3, 8, 8) 8426560220195101:4534963200000000 unknown 1072.62 none none
(3, 8, 9) 5332432639342213:2834352000000000 unknown 1094.13 none none
(3, 9, 1) 6103515625:3439853568 unknown 992.75 none none
(3, 9, 2) 1220703125:679477248 unknown 1014.26 none none
(3, 9, 3) 4054573059082031:2229025112064000 unknown 1035.76 none none
(3, 9, 4) 213815376162529:116095057920000 unknown 1057.27 none none
(3, 9, 5) 1082440341822803:580475289600000 unknown 1078.78 none none
(3, 9, 6) 91330903841299:48372940800000 unknown 1100.28 none none
(3, 9, 7) 2600790191418241:1360488960000000 unknown 1121.79 none none
(3, 9, 8) 2194416724009141:1133740800000000 unknown 1143.30 none none
(3, 9, 9) 520745374935763:265720500000000 unknown 1164.80 none none
(4, 1, 1) 512:375 unknown 539.10 none none
(4, 1, 2) 864:625 unknown 560.61 none none
(4, 1, 3) 4374:3125 unknown 582.12 none none
(4, 1, 4) 177147:125000 unknown 603.62 none none
(4, 1, 5) 14348907:10000000 unknown 625.13 none none
(4, 1, 6) 1162261467:800000000 unknown 646.64 none none
(4, 1, 7) 94143178827:64000000000 unknown 668.14 none none
(4, 1, 8) 7625597484987:5120000000000 unknown 689.65 none none
(4, 1, 9) 1563485784343741:1036800000000000 unknown 711.15 none none
(4, 2, 1) 64:45 reduced 45th subharmonic 609.78 none 45
(4, 2, 2) 36:25 unknown 631.28 none none
(4, 2, 3) 729:500 unknown 652.79 none none
(4, 2, 4) 59049:40000 unknown 674.30 none none
(4, 2, 5) 4782969:3200000 unknown 695.80 none none
(4, 2, 6) 387420489:256000000 unknown 717.31 none none
(4, 2, 7) 31381059609:20480000000 unknown 738.81 none none
(4, 2, 8) 2541865828329:1638400000000 unknown 760.32 none none
(4, 2, 9) 1563485784343741:995328000000000 unknown 781.83 none none
(4, 3, 1) 40:27 grave fifth 680.45 none none
(4, 3, 2) 3:2 perfect fifth 701.96 3 none
(4, 3, 3) 243:160 unknown 723.46 none none
(4, 3, 4) 19683:12800 unknown 744.97 none none
(4, 3, 5) 1594323:1024000 unknown 766.47 none none
(4, 3, 6) 129140163:81920000 unknown 787.98 none none
(4, 3, 7) 10460353203:6553600000 unknown 809.49 none none
(4, 3, 8) 5790688090162003:3583180800000000 unknown 830.99 none none
(4, 3, 9) 3664419807055643:2239488000000000 unknown 852.50 none none
(4, 4, 1) 125:81 unknown 751.12 none none
(4, 4, 2) 25:16 reduced 25th harmonic 772.63 25 none
(4, 4, 3) 405:256 unknown 794.13 none none
(4, 4, 4) 6561:4096 unknown 815.64 none none
(4, 4, 5) 531441:327680 unknown 837.15 none none
(4, 4, 6) 43046721:26214400 unknown 858.65 none none
(4, 4, 7) 446812352635957:268738560000000 unknown 880.16 none none
(4, 4, 8) 301598338029271:179159040000000 unknown 901.67 none none
(4, 4, 9) 2862827974262221:1679616000000000 unknown 923.17 none none
(4, 5, 1) 3125:1944 unknown 821.79 none none
(4, 5, 2) 625:384 unknown 843.30 none none
(4, 5, 3) 3375:2048 unknown 864.81 none none
(4, 5, 4) 54675:32768 unknown 886.31 none none
(4, 5, 5) 885735:524288 unknown 907.82 none none
(4, 5, 6) 14348907:8388608 unknown 929.33 none none
(4, 5, 7) 5585154407949463:3224862720000000 unknown 950.83 none none
(4, 5, 8) 7068711047561039:4031078400000000 unknown 972.34 none none
(4, 5, 9) 8946337419569441:5038848000000000 unknown 993.84 none none
(4, 6, 1) 78125:46656 unknown 892.47 none none
(4, 6, 2) 15625:9216 unknown 913.97 none none
(4, 6, 3) 28125:16384 unknown 935.48 none none
(4, 6, 4) 455625:262144 unknown 956.98 none none
(4, 6, 5) 7381125:4194304 unknown 978.49 none none
(4, 6, 6) 1723813088873291:967458816000000 unknown 1000.00 none none
(4, 6, 7) 2181700940605259:1209323520000000 unknown 1021.50 none none
(4, 6, 8) 2761215252953531:1511654400000000 unknown 1043.01 none none
(4, 6, 9) 1164887684839771:629856000000000 unknown 1064.52 none none
(4, 7, 1) 1953125:1119744 unknown 963.14 none none
(4, 7, 2) 390625:221184 unknown 984.64 none none
(4, 7, 3) 234375:131072 unknown 1006.15 none none
(4, 7, 4) 3796875:2097152 unknown 1027.66 none none
(4, 7, 5) 4256328614501953:2321901158400000 unknown 1049.16 none none
(4, 7, 6) 2693457951364517:1451188224000000 unknown 1070.67 none none
(4, 7, 7) 3408907719695717:1813985280000000 unknown 1092.18 none none
(4, 7, 8) 1078599708184973:566870400000000 unknown 1113.68 none none
(4, 7, 9) 910068503781071:472392000000000 unknown 1135.19 none none
(4, 8, 1) 48828125:26873856 unknown 1033.81 none none
(4, 8, 2) 9765625:5308416 unknown 1055.32 none none
(4, 8, 3) 1953125:1048576 unknown 1076.82 none none
(4, 8, 4) 656840835571289:348285173760000 unknown 1098.33 none none
(4, 8, 5) 3325256730079651:1741425868800000 unknown 1119.84 none none
(4, 8, 6) 2104264024503529:1088391168000000 unknown 1141.34 none none
(4, 8, 7) 2663209156012279:1360488960000000 unknown 1162.85 none none
(4, 8, 8) 6741248176156081:3401222400000000 unknown 1184.35 none none
(4, 8, 9) 947988024771949:472392000000000 unknown 1205.86 none none
(4, 9, 1) 1220703125:644972544 unknown 1104.48 none none
(4, 9, 2) 244140625:127401984 unknown 1125.99 none none
(4, 9, 3) 48828125:25165824 unknown 1147.50 none none
(4, 9, 4) 912278938293457:464380231680000 unknown 1169.00 none none
(4, 9, 5) 2597856820374727:1306069401600000 unknown 1190.51 none none
(4, 9, 6) 91330903841299:45349632000000 unknown 1212.01 none none
(4, 9, 7) 2080632153134593:1020366720000000 unknown 1233.52 none none
(4, 9, 8) 2633300068810969:1275458400000000 unknown 1255.03 none none
(4, 9, 9) 3332770399588883:1594323000000000 unknown 1276.53 none none
(5, 1, 1) 8192:5625 unknown 650.84 none none
(5, 1, 2) 4608:3125 unknown 672.34 none none
(5, 1, 3) 23328:15625 unknown 693.85 none none
(5, 1, 4) 118098:78125 unknown 715.35 none none
(5, 1, 5) 4782969:3125000 unknown 736.86 none none
(5, 1, 6) 387420489:250000000 unknown 758.37 none none
(5, 1, 7) 31381059609:20000000000 unknown 779.87 none none
(5, 1, 8) 2541865828329:1600000000000 unknown 801.38 none none
(5, 1, 9) 1563485784343741:972000000000000 unknown 822.89 none none
(5, 2, 1) 1024:675 unknown 721.51 none none
(5, 2, 2) 192:125 unknown 743.01 none none
(5, 2, 3) 972:625 unknown 764.52 none none
(5, 2, 4) 19683:12500 unknown 786.03 none none
(5, 2, 5) 1594323:1000000 unknown 807.53 none none
(5, 2, 6) 129140163:80000000 unknown 829.04 none none
(5, 2, 7) 10460353203:6400000000 unknown 850.55 none none
(5, 2, 8) 847288609443:512000000000 unknown 872.05 none none
(5, 2, 9) 1563485784343741:933120000000000 unknown 893.56 none none
(5, 3, 1) 128:81 unknown 792.18 none none
(5, 3, 2) 8:5 minor sixth 813.69 none 5
(5, 3, 3) 81:50 unknown 835.19 none none
(5, 3, 4) 6561:4000 unknown 856.70 none none
(5, 3, 5) 531441:320000 unknown 878.21 none none
(5, 3, 6) 43046721:25600000 unknown 899.71 none none
(5, 3, 7) 3486784401:2048000000 unknown 921.22 none none
(5, 3, 8) 2316275236064801:1343692800000000 unknown 942.72 none none
(5, 3, 9) 5863071691289029:3359232000000000 unknown 964.23 none none
(5, 4, 1) 400:243 unknown 862.85 none none
(5, 4, 2) 5:3 major sixth 884.36 none none
(5, 4, 3) 27:16 pythagoreon major sixth 905.87 27 none
(5, 4, 4) 2187:1280 unknown 927.37 none none
(5, 4, 5) 177147:102400 unknown 948.88 none none
(5, 4, 6) 14348907:8192000 unknown 970.38 none none
(5, 4, 7) 1162261467:655360000 unknown 991.89 none none
(5, 4, 8) 301598338029271:167961600000000 unknown 1013.40 none none
(5, 4, 9) 2290262379409777:1259712000000000 unknown 1034.90 none none
(5, 5, 1) 1250:729 unknown 933.52 none none
(5, 5, 2) 125:72 unknown 955.03 none none
(5, 5, 3) 225:128 unknown 976.54 none none
(5, 5, 4) 3645:2048 unknown 998.04 none none
(5, 5, 5) 59049:32768 unknown 1019.55 none none
(5, 5, 6) 4782969:2621440 unknown 1041.06 none none
(5, 5, 7) 2978749017573047:1612431360000000 unknown 1062.56 none none
(5, 5, 8) 5654968838048831:3023308800000000 unknown 1084.07 none none
(5, 5, 9) 29452962698171:15552000000000 unknown 1105.58 none none
(5, 6, 1) 15625:8748 unknown 1004.20 none none
(5, 6, 2) 3125:1728 unknown 1025.70 none none
(5, 6, 3) 1875:1024 unknown 1047.21 none none
(5, 6, 4) 30375:16384 unknown 1068.72 none none
(5, 6, 5) 492075:262144 unknown 1090.22 none none
(5, 6, 6) 5516201884394531:2902376448000000 unknown 1111.73 none none
(5, 6, 7) 775715889992981:403107840000000 unknown 1133.24 none none
(5, 6, 8) 8835888809451299:4534963200000000 unknown 1154.74 none none
(5, 6, 9) 5591460887230901:2834352000000000 unknown 1176.25 none none
(5, 7, 1) 390625:209952 unknown 1074.87 none none
(5, 7, 2) 78125:41472 unknown 1096.38 none none
(5, 7, 3) 15625:8192 unknown 1117.88 none none
(5, 7, 4) 253125:131072 unknown 1139.39 none none
(5, 7, 5) 4100625:2097152 unknown 1160.89 none none
(5, 7, 6) 1723813088873291:870712934400000 unknown 1182.40 none none
(5, 7, 7) 1818084117171049:906992640000000 unknown 1203.91 none none
(5, 7, 8) 2301012710794609:1133740800000000 unknown 1225.41 none none
(5, 7, 9) 4368328818149141:2125764000000000 unknown 1246.92 none none
(5, 8, 1) 9765625:5038848 unknown 1145.54 none none
(5, 8, 2) 1953125:995328 unknown 1167.05 none none
(5, 8, 3) 390625:196608 unknown 1188.55 none none
(5, 8, 4) 2109375:1048576 unknown 1210.06 none none
(5, 8, 5) 5320410768127441:2612138803200000 unknown 1231.57 none none
(5, 8, 6) 6733644878411293:3265173504000000 unknown 1253.07 none none
(5, 8, 7) 8522269299239293:4081466880000000 unknown 1274.58 none none
(5, 8, 8) 1078599708184973:510183360000000 unknown 1296.09 none none
(5, 8, 9) 6825513778358033:3188646000000000 unknown 1317.59 none none
(5, 9, 1) 244140625:120932352 unknown 1216.21 none none
(5, 9, 2) 48828125:23887872 unknown 1237.72 none none
(5, 9, 3) 9765625:4718592 unknown 1259.23 none none
(5, 9, 4) 2189469451904297:1044855521280000 unknown 1280.73 none none
(5, 9, 5) 8313141825199127:3918208204800000 unknown 1302.24 none none
(5, 9, 6) 1753553353752941:816293376000000 unknown 1323.75 none none
(5, 9, 7) 6658022890030697:3061100160000000 unknown 1345.25 none none
(5, 9, 8) 8426560220195101:3826375200000000 unknown 1366.76 none none
(5, 9, 9) 5332432639342213:2391484500000000 unknown 1388.26 none none
(6, 1, 1) 131072:84375 unknown 762.57 none none
(6, 1, 2) 24576:15625 unknown 784.07 none none
(6, 1, 3) 124416:78125 unknown 805.58 none none
(6, 1, 4) 629856:390625 unknown 827.09 none none
(6, 1, 5) 3188646:1953125 unknown 848.59 none none
(6, 1, 6) 129140163:78125000 unknown 870.10 none none
(6, 1, 7) 10460353203:6250000000 unknown 891.60 none none
(6, 1, 8) 847288609443:500000000000 unknown 913.11 none none
(6, 1, 9) 1563485784343741:911250000000000 unknown 934.62 none none
(6, 2, 1) 16384:10125 unknown 833.24 none none
(6, 2, 2) 1024:625 unknown 854.75 none none
(6, 2, 3) 5184:3125 unknown 876.25 none none
(6, 2, 4) 26244:15625 unknown 897.76 none none
(6, 2, 5) 531441:312500 unknown 919.26 none none
(6, 2, 6) 43046721:25000000 unknown 940.77 none none
(6, 2, 7) 3486784401:2000000000 unknown 962.28 none none
(6, 2, 8) 282429536481:160000000000 unknown 983.78 none none
(6, 2, 9) 1563485784343741:874800000000000 unknown 1005.29 none none
(6, 3, 1) 2048:1215 unknown 903.91 none none
(6, 3, 2) 128:75 reduced 75th subharmonic 925.42 none 75
(6, 3, 3) 216:125 unknown 946.92 none none
(6, 3, 4) 2187:1250 unknown 968.43 none none
(6, 3, 5) 177147:100000 unknown 989.94 none none
(6, 3, 6) 14348907:8000000 unknown 1011.44 none none
(6, 3, 7) 1162261467:640000000 unknown 1032.95 none none
(6, 3, 8) 94143178827:51200000000 unknown 1054.46 none none
(6, 3, 9) 1563485784343741:839808000000000 unknown 1075.96 none none
(6, 4, 1) 1280:729 unknown 974.58 none none
(6, 4, 2) 16:9 minor seventh 996.09 none 9
(6, 4, 3) 9:5 acute minor seventh 1017.60 none none
(6, 4, 4) 729:400 unknown 1039.10 none none
(6, 4, 5) 59049:32000 unknown 1060.61 none none
(6, 4, 6) 4782969:2560000 unknown 1082.12 none none
(6, 4, 7) 387420489:204800000 unknown 1103.62 none none
(6, 4, 8) 5790688090162003:3023308800000000 unknown 1125.13 none none
(6, 4, 9) 3664419807055643:1889568000000000 unknown 1146.63 none none
(6, 5, 1) 4000:2187 unknown 1045.26 none none
(6, 5, 2) 50:27 unknown 1066.76 none none
(6, 5, 3) 15:8 diatonic major seventh 1088.27 15 none
(6, 5, 4) 243:128 unknown 1109.78 none none
(6, 5, 5) 19683:10240 unknown 1131.28 none none
(6, 5, 6) 1594323:819200 unknown 1152.79 none none
(6, 5, 7) 446812352635957:226748160000000 unknown 1174.29 none none
(6, 5, 8) 301598338029271:151165440000000 unknown 1195.80 none none
(6, 5, 9) 2862827974262221:1417176000000000 unknown 1217.31 none none
(6, 6, 1) 12500:6561 unknown 1115.93 none none
(6, 6, 2) 625:324 unknown 1137.43 none none
(6, 6, 3) 125:64 unknown 1158.94 none none
(6, 6, 4) 2025:1024 unknown 1180.45 none none
(6, 6, 5) 32805:16384 unknown 1201.95 none none
(6, 6, 6) 531441:262144 unknown 1223.46 none none
(6, 6, 7) 5585154407949463:2720977920000000 unknown 1244.97 none none
(6, 6, 8) 7068711047561039:3401222400000000 unknown 1266.47 none none
(6, 6, 9) 8946337419569441:4251528000000000 unknown 1287.98 none none
(6, 7, 1) 78125:39366 unknown 1186.60 none none
(6, 7, 2) 15625:7776 unknown 1208.11 none none
(6, 7, 3) 3125:1536 unknown 1229.61 none none
(6, 7, 4) 16875:8192 unknown 1251.12 none none
(6, 7, 5) 273375:131072 unknown 1272.63 none none
(6, 7, 6) 1723813088873291:816293376000000 unknown 1294.13 none none
(6, 7, 7) 2181700940605259:1020366720000000 unknown 1315.64 none none
(6, 7, 8) 2761215252953531:1275458400000000 unknown 1337.15 none none
(6, 7, 9) 1164887684839771:531441000000000 unknown 1358.65 none none
(6, 8, 1) 1953125:944784 unknown 1257.27 none none
(6, 8, 2) 390625:186624 unknown 1278.78 none none
(6, 8, 3) 78125:36864 unknown 1300.29 none none
(6, 8, 4) 140625:65536 unknown 1321.79 none none
(6, 8, 5) 4256328614501953:1959104102400000 unknown 1343.30 none none
(6, 8, 6) 2693457951364517:1224440064000000 unknown 1364.80 none none
(6, 8, 7) 3408907719695717:1530550080000000 unknown 1386.31 none none
(6, 8, 8) 1078599708184973:478296900000000 unknown 1407.82 none none
(6, 8, 9) 910068503781071:398580750000000 unknown 1429.32 none none
(6, 9, 1) 48828125:22674816 unknown 1327.95 none none
(6, 9, 2) 9765625:4478976 unknown 1349.45 none none
(6, 9, 3) 1953125:884736 unknown 1370.96 none none
(6, 9, 4) 656840835571289:293865615360000 unknown 1392.46 none none
(6, 9, 5) 3325256730079651:1469328076800000 unknown 1413.97 none none
(6, 9, 6) 2104264024503529:918330048000000 unknown 1435.48 none none
(6, 9, 7) 2663209156012279:1147912560000000 unknown 1456.98 none none
(6, 9, 8) 6741248176156081:2869781400000000 unknown 1478.49 none none
(6, 9, 9) 947988024771949:398580750000000 unknown 1500.00 none none
(7, 1, 1) 2097152:1265625 unknown 874.30 none none
(7, 1, 2) 131072:78125 unknown 895.80 none none
(7, 1, 3) 663552:390625 unknown 917.31 none none
(7, 1, 4) 3359232:1953125 unknown 938.82 none none
(7, 1, 5) 17006112:9765625 unknown 960.32 none none
(7, 1, 6) 86093442:48828125 unknown 981.83 none none
(7, 1, 7) 3486784401:1953125000 unknown 1003.34 none none
(7, 1, 8) 282429536481:156250000000 unknown 1024.84 none none
(7, 1, 9) 1563485784343741:854296875000000 unknown 1046.35 none none
(7, 2, 1) 262144:151875 unknown 944.97 none none
(7, 2, 2) 16384:9375 unknown 966.48 none none
(7, 2, 3) 27648:15625 unknown 987.98 none none
(7, 2, 4) 139968:78125 unknown 1009.49 none none
(7, 2, 5) 708588:390625 unknown 1031.00 none none
(7, 2, 6) 14348907:7812500 unknown 1052.50 none none
(7, 2, 7) 1162261467:625000000 unknown 1074.01 none none
(7, 2, 8) 94143178827:50000000000 unknown 1095.51 none none
(7, 2, 9) 1563485784343741:820125000000000 unknown 1117.02 none none
(7, 3, 1) 32768:18225 unknown 1015.64 none none
(7, 3, 2) 2048:1125 unknown 1037.15 none none
(7, 3, 3) 1152:625 unknown 1058.66 none none
(7, 3, 4) 5832:3125 unknown 1080.16 none none
(7, 3, 5) 59049:31250 unknown 1101.67 none none
(7, 3, 6) 4782969:2500000 unknown 1123.17 none none
(7, 3, 7) 387420489:200000000 unknown 1144.68 none none
(7, 3, 8) 31381059609:16000000000 unknown 1166.19 none none
(7, 3, 9) 1563485784343741:787320000000000 unknown 1187.69 none none
(7, 4, 1) 4096:2187 unknown 1086.31 none none
(7, 4, 2) 256:135 unknown 1107.82 none none
(7, 4, 3) 48:25 unknown 1129.33 none none
(7, 4, 4) 243:125 unknown 1150.83 none none
(7, 4, 5) 19683:10000 unknown 1172.34 none none
(7, 4, 6) 1594323:800000 unknown 1193.85 none none
(7, 4, 7) 129140163:64000000 unknown 1215.35 none none
(7, 4, 8) 2316275236064801:1133740800000000 unknown 1236.86 none none
(7, 4, 9) 5863071691289029:2834352000000000 unknown 1258.37 none none
(7, 5, 1) 12800:6561 unknown 1156.99 none none
(7, 5, 2) 160:81 unknown 1178.49 none none
(7, 5, 3) 2:1 octave 1200.00 none none
(7, 5, 4) 81:40 unknown 1221.51 none none
(7, 5, 5) 6561:3200 unknown 1243.01 none none
(7, 5, 6) 531441:256000 unknown 1264.52 none none
(7, 5, 7) 43046721:20480000 unknown 1286.03 none none
(7, 5, 8) 301598338029271:141717600000000 unknown 1307.53 none none
(7, 5, 9) 2290262379409777:1062882000000000 unknown 1329.04 none none
(7, 6, 1) 40000:19683 unknown 1227.66 none none
(7, 6, 2) 500:243 unknown 1249.17 none none
(7, 6, 3) 25:12 unknown 1270.67 none none
(7, 6, 4) 135:64 unknown 1292.18 none none
(7, 6, 5) 2187:1024 unknown 1313.69 none none
(7, 6, 6) 177147:81920 unknown 1335.19 none none
(7, 6, 7) 2978749017573047:1360488960000000 unknown 1356.70 none none
(7, 6, 8) 5654968838048831:2550916800000000 unknown 1378.20 none none
(7, 6, 9) 29452962698171:13122000000000 unknown 1399.71 none none
(7, 7, 1) 125000:59049 unknown 1298.33 none none
(7, 7, 2) 3125:1458 unknown 1319.84 none none
(7, 7, 3) 625:288 unknown 1341.34 none none
(7, 7, 4) 1125:512 unknown 1362.85 none none
(7, 7, 5) 18225:8192 unknown 1384.36 none none
(7, 7, 6) 5516201884394531:2448880128000000 unknown 1405.86 none none
(7, 7, 7) 775715889992981:340122240000000 unknown 1427.37 none none
(7, 7, 8) 8835888809451299:3826375200000000 unknown 1448.88 none none
(7, 7, 9) 5591460887230901:2391484500000000 unknown 1470.38 none none
(7, 8, 1) 390625:177147 unknown 1369.00 none none
(7, 8, 2) 78125:34992 unknown 1390.51 none none
(7, 8, 3) 15625:6912 unknown 1412.02 none none
(7, 8, 4) 9375:4096 unknown 1433.52 none none
(7, 8, 5) 151875:65536 unknown 1455.03 none none
(7, 8, 6) 1723813088873291:734664038400000 unknown 1476.54 none none
(7, 8, 7) 1818084117171049:765275040000000 unknown 1498.04 none none
(7, 8, 8) 2301012710794609:956593800000000 unknown 1519.55 none none
(7, 8, 9) 4368328818149141:1793613375000000 unknown 1541.06 none none
(7, 9, 1) 9765625:4251528 unknown 1439.68 none none
(7, 9, 2) 1953125:839808 unknown 1461.18 none none
(7, 9, 3) 390625:165888 unknown 1482.69 none none
(7, 9, 4) 78125:32768 unknown 1504.20 none none
(7, 9, 5) 5320410768127441:2203992115200000 unknown 1525.70 none none
(7, 9, 6) 6733644878411293:2754990144000000 unknown 1547.21 none none
(7, 9, 7) 8522269299239293:3443737680000000 unknown 1568.71 none none
(7, 9, 8) 1078599708184973:430467210000000 unknown 1590.22 none none
(7, 9, 9) 6825513778358033:2690420062500000 unknown 1611.73 none none
(8, 1, 1) 33554432:18984375 unknown 986.03 none none
(8, 1, 2) 2097152:1171875 unknown 1007.54 none none
(8, 1, 3) 3538944:1953125 unknown 1029.04 none none
(8, 1, 4) 17915904:9765625 unknown 1050.55 none none
(8, 1, 5) 90699264:48828125 unknown 1072.05 none none
(8, 1, 6) 459165024:244140625 unknown 1093.56 none none
(8, 1, 7) 2324522934:1220703125 unknown 1115.07 none none
(8, 1, 8) 94143178827:48828125000 unknown 1136.57 none none
(8, 1, 9) 1563485784343741:800903320312500 unknown 1158.08 none none
(8, 2, 1) 4194304:2278125 unknown 1056.70 none none
(8, 2, 2) 262144:140625 unknown 1078.21 none none
(8, 2, 3) 147456:78125 unknown 1099.71 none none
(8, 2, 4) 746496:390625 unknown 1121.22 none none
(8, 2, 5) 3779136:1953125 unknown 1142.73 none none
(8, 2, 6) 19131876:9765625 unknown 1164.23 none none
(8, 2, 7) 387420489:195312500 unknown 1185.74 none none
(8, 2, 8) 31381059609:15625000000 unknown 1207.25 none none
(8, 2, 9) 1563485784343741:768867187500000 unknown 1228.75 none none
(8, 3, 1) 524288:273375 unknown 1127.37 none none
(8, 3, 2) 32768:16875 unknown 1148.88 none none
(8, 3, 3) 6144:3125 unknown 1170.39 none none
(8, 3, 4) 31104:15625 unknown 1191.89 none none
(8, 3, 5) 157464:78125 unknown 1213.40 none none
(8, 3, 6) 1594323:781250 unknown 1234.91 none none
(8, 3, 7) 129140163:62500000 unknown 1256.41 none none
(8, 3, 8) 10460353203:5000000000 unknown 1277.92 none none
(8, 3, 9) 1563485784343741:738112500000000 unknown 1299.42 none none
(8, 4, 1) 65536:32805 unknown 1198.05 none none
(8, 4, 2) 4096:2025 unknown 1219.55 none none
(8, 4, 3) 256:125 unknown 1241.06 none none
(8, 4, 4) 1296:625 unknown 1262.57 none none
(8, 4, 5) 6561:3125 unknown 1284.07 none none
(8, 4, 6) 531441:250000 unknown 1305.58 none none
(8, 4, 7) 43046721:20000000 unknown 1327.08 none none
(8, 4, 8) 3486784401:1600000000 unknown 1348.59 none none
(8, 4, 9) 1563485784343741:708588000000000 unknown 1370.10 none none
(8, 5, 1) 40960:19683 unknown 1268.72 none none
(8, 5, 2) 512:243 unknown 1290.22 none none
(8, 5, 3) 32:15 unknown 1311.73 none none
(8, 5, 4) 54:25 unknown 1333.24 none none
(8, 5, 5) 2187:1000 unknown 1354.74 none none
(8, 5, 6) 177147:80000 unknown 1376.25 none none
(8, 5, 7) 14348907:6400000 unknown 1397.76 none none
(8, 5, 8) 5790688090162003:2550916800000000 unknown 1419.26 none none
(8, 5, 9) 3664419807055643:1594323000000000 unknown 1440.77 none none
(8, 6, 1) 128000:59049 unknown 1339.39 none none
(8, 6, 2) 1600:729 unknown 1360.90 none none
(8, 6, 3) 20:9 unknown 1382.40 none none
(8, 6, 4) 9:4 major ninth 1403.91 9 none
(8, 6, 5) 729:320 unknown 1425.42 none none
(8, 6, 6) 59049:25600 unknown 1446.92 none none
(8, 6, 7) 446812352635957:191318760000000 unknown 1468.43 none none
(8, 6, 8) 301598338029271:127545840000000 unknown 1489.94 none none
(8, 6, 9) 2862827974262221:1195742250000000 unknown 1511.44 none none
(8, 7, 1) 400000:177147 unknown 1410.06 none none
(8, 7, 2) 5000:2187 unknown 1431.57 none none
(8, 7, 3) 125:54 unknown 1453.08 none none
(8, 7, 4) 75:32 unknown 1474.58 75 none
(8, 7, 5) 1215:512 unknown 1496.09 none none
(8, 7, 6) 19683:8192 unknown 1517.60 none none
(8, 7, 7) 5585154407949463:2295825120000000 unknown 1539.10 none none
(8, 7, 8) 7068711047561039:2869781400000000 unknown 1560.61 none none
(8, 7, 9) 8946337419569441:3587226750000000 unknown 1582.11 none none
(8, 8, 1) 1250000:531441 unknown 1480.74 none none
(8, 8, 2) 15625:6561 unknown 1502.24 none none
(8, 8, 3) 3125:1296 unknown 1523.75 none none
(8, 8, 4) 625:256 unknown 1545.25 none none
(8, 8, 5) 10125:4096 unknown 1566.76 none none
(8, 8, 6) 1723813088873291:688747536000000 unknown 1588.27 none none
(8, 8, 7) 2181700940605259:860934420000000 unknown 1609.77 none none
(8, 8, 8) 2761215252953531:1076168025000000 unknown 1631.28 none none
(8, 8, 9) 1164887684839771:448403343750000 unknown 1652.79 none none
(8, 9, 1) 3906250:1594323 unknown 1551.41 none none
(8, 9, 2) 390625:157464 unknown 1572.91 none none
(8, 9, 3) 78125:31104 unknown 1594.42 none none
(8, 9, 4) 15625:6144 unknown 1615.93 none none
(8, 9, 5) 4256328614501953:1652994086400000 unknown 1637.43 none none
(8, 9, 6) 2693457951364517:1033121304000000 unknown 1658.94 none none
(8, 9, 7) 3408907719695717:1291401630000000 unknown 1680.45 none none
(8, 9, 8) 1078599708184973:403563009375000 unknown 1701.95 none none
(8, 9, 9) 910068503781071:336302507812500 unknown 1723.46 none none
(9, 1, 1) 536870912:284765625 unknown 1097.76 none none
(9, 1, 2) 33554432:17578125 unknown 1119.27 none none
(9, 1, 3) 18874368:9765625 unknown 1140.77 none none
(9, 1, 4) 95551488:48828125 unknown 1162.28 none none
(9, 1, 5) 483729408:244140625 unknown 1183.79 none none
(9, 1, 6) 2448880128:1220703125 unknown 1205.29 none none
(9, 1, 7) 12397455648:6103515625 unknown 1226.80 none none
(9, 1, 8) 62762119218:30517578125 unknown 1248.30 none none
(9, 1, 9) 660720855477:317303928494 unknown 1269.81 none none
(9, 2, 1) 67108864:34171875 unknown 1168.43 none none
(9, 2, 2) 4194304:2109375 unknown 1189.94 none none
(9, 2, 3) 786432:390625 unknown 1211.45 none none
(9, 2, 4) 3981312:1953125 unknown 1232.95 none none
(9, 2, 5) 20155392:9765625 unknown 1254.46 none none
(9, 2, 6) 102036672:48828125 unknown 1275.96 none none
(9, 2, 7) 516560652:244140625 unknown 1297.47 none none
(9, 2, 8) 10460353203:4882812500 unknown 1318.98 none none
(9, 2, 9) 1563485784343741:720812988281250 unknown 1340.48 none none
(9, 3, 1) 8388608:4100625 unknown 1239.11 none none
(9, 3, 2) 524288:253125 unknown 1260.61 none none
(9, 3, 3) 32768:15625 unknown 1282.12 none none
(9, 3, 4) 165888:78125 unknown 1303.62 none none
(9, 3, 5) 839808:390625 unknown 1325.13 none none
(9, 3, 6) 4251528:1953125 unknown 1346.64 none none
(9, 3, 7) 43046721:19531250 unknown 1368.14 none none
(9, 3, 8) 3486784401:1562500000 unknown 1389.65 none none
(9, 3, 9) 1563485784343741:691980468750000 unknown 1411.16 none none
(9, 4, 1) 1048576:492075 unknown 1309.78 none none
(9, 4, 2) 65536:30375 unknown 1331.28 none none
(9, 4, 3) 4096:1875 unknown 1352.79 none none
(9, 4, 4) 6912:3125 unknown 1374.30 none none
(9, 4, 5) 34992:15625 unknown 1395.80 none none
(9, 4, 6) 177147:78125 unknown 1417.31 none none
(9, 4, 7) 14348907:6250000 unknown 1438.82 none none
(9, 4, 8) 1162261467:500000000 unknown 1460.32 none none
(9, 4, 9) 1563485784343741:664301250000000 unknown 1481.83 none none
(9, 5, 1) 131072:59049 unknown 1380.45 none none
(9, 5, 2) 8192:3645 unknown 1401.96 none none
(9, 5, 3) 512:225 unknown 1423.46 none none
(9, 5, 4) 288:125 unknown 1444.97 none none
(9, 5, 5) 1458:625 unknown 1466.48 none none
(9, 5, 6) 59049:25000 unknown 1487.98 none none
(9, 5, 7) 4782969:2000000 unknown 1509.49 none none
(9, 5, 8) 2316275236064801:956593800000000 unknown 1530.99 none none
(9, 5, 9) 5863071691289029:2391484500000000 unknown 1552.50 none none
(9, 6, 1) 409600:177147 unknown 1451.12 none none
(9, 6, 2) 5120:2187 unknown 1472.63 none none
(9, 6, 3) 64:27 unknown 1494.13 none none
(9, 6, 4) 12:5 unknown 1515.64 none none
(9, 6, 5) 243:100 unknown 1537.15 none none
(9, 6, 6) 19683:8000 unknown 1558.65 none none
(9, 6, 7) 1594323:640000 unknown 1580.16 none none
(9, 6, 8) 301598338029271:119574225000000 unknown 1601.67 none none
(9, 6, 9) 2290262379409777:896806687500000 unknown 1623.17 none none
(9, 7, 1) 1280000:531441 unknown 1521.79 none none
(9, 7, 2) 16000:6561 unknown 1543.30 none none
(9, 7, 3) 200:81 unknown 1564.81 none none
(9, 7, 4) 5:2 major tenth 1586.31 5 none
(9, 7, 5) 81:32 unknown 1607.82 none none
(9, 7, 6) 6561:2560 unknown 1629.33 none none
(9, 7, 7) 2978749017573047:1147912560000000 unknown 1650.83 none none
(9, 7, 8) 5654968838048831:2152336050000000 unknown 1672.34 none none
(9, 7, 9) 29452962698171:11071687500000 unknown 1693.85 none none
(9, 8, 1) 4000000:1594323 unknown 1592.47 none none
(9, 8, 2) 50000:19683 unknown 1613.97 none none
(9, 8, 3) 625:243 unknown 1635.48 none none
(9, 8, 4) 125:48 unknown 1656.99 none none
(9, 8, 5) 675:256 unknown 1678.49 none none
(9, 8, 6) 5516201884394531:2066242608000000 unknown 1700.00 none none
(9, 8, 7) 775715889992981:286978140000000 unknown 1721.51 none none
(9, 8, 8) 8835888809451299:3228504075000000 unknown 1743.01 none none
(9, 8, 9) 5591460887230901:2017815046875000 unknown 1764.52 none none
(9, 9, 1) 12500000:4782969 unknown 1663.14 none none
(9, 9, 2) 156250:59049 unknown 1684.65 none none
(9, 9, 3) 15625:5832 unknown 1706.15 none none
(9, 9, 4) 3125:1152 unknown 1727.66 none none
(9, 9, 5) 5625:2048 unknown 1749.16 none none
(9, 9, 6) 1723813088873291:619872782400000 unknown 1770.67 none none
(9, 9, 7) 1818084117171049:645700815000000 unknown 1792.18 none none
(9, 9, 8) 2301012710794609:807126018750000 unknown 1813.68 none none
(9, 9, 9) 4368328818149141:1513361285156250 unknown 1835.19 none none
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