Scala analysis: bihex-top
Bihexany in octoid TOP tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.318 cents 101.318325 2: 267.591 cents 267.590529 3: 385.147 cents 385.147324 4: 417.624 cents 417.624264 5: 535.181 cents 535.181059 6: 701.453 cents 701.453263 7: 802.772 cents 802.771588 8: 883.964 cents 883.963938 9: 969.044 cents 969.043793 10: 1033.998 cents 1033.997672 11: 1119.078 cents 1119.077527 12: 1200.270 cents 1200.269877
SHOW/INTERVAL
0: 81.1923 cents 81.1923 1: 101.3183 cents 101.3183 2: 166.2722 cents 166.2722 3: 117.5568 cents 117.5568 4: 32.4769 cents 32.4769 5: 117.5568 cents 117.5568 6: 166.2722 cents 166.2722 7: 101.3183 cents 101.3183 8: 81.1923 cents 81.1923 9: 85.0799 cents 85.0799 10: 64.9539 cents 64.9539 11: 85.0799 cents 85.0799 12: 81.1923 cents 81.1923
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 32.47694 cents 1: 1 64.95388 cents 1: 2 81.19235 cents 1: 2 85.07985 cents 1: 2 101.31833 cents 1: 2 117.55679 cents 1: 2 166.27220 cents 2: 4 150.03374 cents 2: 2 166.27221 cents 2: 2 182.51067 cents 2: 2 267.59053 cents 2: 2 283.82900 cents 3: 2 231.22608 cents 3: 1 235.11359 cents 3: 3 267.59053 cents 3: 2 316.30594 cents 3: 2 348.78288 cents 3: 2 385.14732 cents 4: 2 316.30594 cents 4: 2 332.54441 cents 4: 2 417.62426 cents 4: 4 433.86273 cents 4: 2 466.33967 cents 5: 1 397.49829 cents 5: 2 417.62426 cents 5: 4 498.81661 cents 5: 2 535.18106 cents 5: 2 551.41953 cents 5: 1 600.13494 cents 6: 2 498.81661 cents 6: 4 583.89647 cents 6: 4 616.37341 cents 6: 2 701.45326 cents 7: 1 600.13494 cents 7: 2 648.85035 cents 7: 2 665.08882 cents 7: 4 701.45326 cents 7: 2 782.64561 cents 7: 1 802.77159 cents 8: 2 733.93020 cents 8: 4 766.40714 cents 8: 2 782.64561 cents 8: 2 867.72547 cents 8: 2 883.96394 cents 9: 2 815.12255 cents 9: 2 851.48700 cents 9: 2 883.96394 cents 9: 3 932.67935 cents 9: 1 965.15629 cents 9: 2 969.04379 cents 10: 2 916.44088 cents 10: 2 932.67935 cents 10: 2 1017.75920 cents 10: 2 1033.99767 cents 10: 4 1050.23614 cents 11: 2 1033.99767 cents 11: 2 1082.71308 cents 11: 2 1098.95155 cents 11: 2 1115.19002 cents 11: 2 1119.07753 cents 11: 1 1135.31600 cents 11: 1 1167.79294 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.63636 = 62/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 101.3 267.6 385.1 417.6 535.2 701.5 802.8 884.0 969.0 1034.0 1119.1 1200.3 101.3 : 166.3 283.8 316.3 433.9 600.1 701.5 782.6 867.7 932.7 1017.8 1099.0 1200.3 267.6 : 117.6 150.0 267.6 433.9 535.2 616.4 701.5 766.4 851.5 932.7 1034.0 1200.3 385.1 : 32.5 150.0 316.3 417.6 498.8 583.9 648.9 733.9 815.1 916.4 1082.7 1200.3 417.6 : 117.6 283.8 385.1 466.3 551.4 616.4 701.5 782.6 884.0 1050.2 1167.8 1200.3 535.2 : 166.3 267.6 348.8 433.9 498.8 583.9 665.1 766.4 932.7 1050.2 1082.7 1200.3 701.5 : 101.3 182.5 267.6 332.5 417.6 498.8 600.1 766.4 884.0 916.4 1034.0 1200.3 802.8 : 81.2 166.3 231.2 316.3 397.5 498.8 665.1 782.6 815.1 932.7 1099.0 1200.3 884.0 : 85.1 150.0 235.1 316.3 417.6 583.9 701.5 733.9 851.5 1017.8 1119.1 1200.3 969.0 : 65.0 150.0 231.2 332.5 498.8 616.4 648.9 766.4 932.7 1034.0 1115.2 1200.3 1034.0: 85.1 166.3 267.6 433.9 551.4 583.9 701.5 867.7 969.0 1050.2 1135.3 1200.3 1119.1: 81.2 182.5 348.8 466.3 498.8 616.4 782.6 884.0 965.2 1050.2 1115.2 1200.3 1200.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 32.4769 .. 166.2722 cents 133.79526 cents 32.47694 cents 2: 150.0337 .. 283.8290 cents 133.79526 cents -16.23847 cents 3: 231.2261 .. 385.1473 cents 153.92124 cents -52.60292 cents 4: 316.3059 .. 466.3397 cents 150.03374 cents -68.84139 cents 5: 397.4983 .. 600.1349 cents 202.63665 cents -68.84139 cents 6: 498.8166 .. 701.4533 cents 202.63665 cents -101.31832 cents 7: 600.1349 .. 802.7716 cents 202.63665 cents -101.31832 cents 8: 733.9302 .. 883.9639 cents 150.03374 cents -68.84139 cents 9: 815.1226 .. 969.0438 cents 153.92124 cents -68.84139 cents 10: 916.4409 .. 1050.2361 cents 133.79526 cents -52.60292 cents 11: 1033.9977 .. 1167.7929 cents 133.79526 cents -16.23847 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 32.47694 cents, class 1 Average step (divided formal octave): 100.0225 cents Largest one step interval : 166.27220 cents Average / Smallest step : 3.079800 Largest / Average step : 1.662348 Largest / Smallest step : 5.119700 Median interval of one step : 93.19909 cents, amount: 0 Least squares average step : 105.86560 cents, oct.: 1270.38716 cents Scale is not proper Step pattern alph. order: ABCDCBAEFGFE Step pattern size order : EGFAFGECDBDC Scale is not a Constant Structure Scale diversity : 1.508808 Lumma stability : 0.054116 Lumma impropriety factor : 0.512955 Rothenberg efficiency : 0.291721 redundancy: 0.708279 Efficiency x scale size : 3.500649 Number of different interval sizes : 51 = 4.63636 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 5.63636 = 62/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 3.88750 cents Most common intervals : 498.81661 cents & inv., amount: 6 Most common triad is 0.0 701.453 1167.793 cents, amount: 1 Number of recognisable fifths : 6, average 701.4533 cents Number of recognisable fourths : 6, average 498.8166 cents Formal octave complements present : 1 = 8.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 1 2 1 0 1 2 1 1 1 0 1 1 N T3 SD: 21.5184 c. M: 35.0686 c. 14: 1 2 1 1 1 2 1 1 1 1 1 1 N D3 SD: 21.0798 c. M: 42.2131 c. 15: 1 2 2 0 2 2 1 1 1 1 1 1 N SD: 15.4220 c. M: 27.5366 c. 21: 2 3 2 0 2 3 2 1 2 1 2 1 N SD: 15.8964 c. M: 26.6283 c. 22: 2 3 2 1 2 3 2 1 2 1 2 1 N SD: 12.4905 c. M:-26.6346 c. 26: 2 4 2 1 2 4 2 2 2 1 2 2 N SD: 13.1873 c. M: 27.3746 c. 27: 2 4 3 0 3 4 2 2 2 1 2 2 N SD: 9.5344 c. M: 17.5343 c. 31: 3 4 3 1 3 4 3 2 2 2 2 2 N SD: 7.4553 c. M:-14.8368 c. 40: 3 6 4 1 4 5 4 2 3 2 3 3 N SD: 8.6901 c. M: 13.7683 c. 41: 3 6 4 1 4 6 3 3 3 2 3 3 N SD: 7.5027 c. M: 13.4937 c. 43: 4 6 4 1 4 6 4 3 3 2 3 3 N SD: 6.5249 c. M:-11.5420 c. 45: 4 6 4 2 4 6 4 3 3 3 3 3 N SD: 6.1659 c. M: 11.7300 c. 46: 4 6 5 1 5 6 4 3 3 3 3 3 N SD: 5.9753 c. M:-12.7682 c. 48: 4 7 4 2 4 7 4 3 4 2 4 3 N SD: 6.7961 c. M: 10.0630 c. 49: 4 7 5 1 5 7 4 3 4 2 4 3 N SD: 5.7237 c. M:-10.7684 c. 57: 5 8 5 2 5 8 5 4 4 3 4 4 N SD: 4.5099 c. M: 8.7469 c. 58: 5 8 6 1 6 8 5 4 4 3 4 4 N SD: 3.7352 c. M:-8.0445 c. 63: 5 9 6 2 6 9 5 4 5 3 5 4 N SD: 4.0247 c. M: 7.5764 c. 72: 6 10 7 2 7 10 6 5 5 4 5 5 N SD: 1.5067 c. M: 2.5917 c. 130: 11 18 13 3 13 18 11 9 9 7 9 9 N SD: 1.3392 c. M:-2.6322 c. 166: 14 23 16 5 16 23 14 11 12 9 12 11 N SD: 1.0402 c. M: 1.9286 c. 193: 16 27 19 5 19 27 16 13 14 10 14 13 N SD: 0.9702 c. M: 1.8141 c. 202: 17 28 20 5 20 28 17 14 14 11 14 14 N SD: 0.9551 c. M: 1.9947 c. 224: 19 31 22 6 22 31 19 15 16 12 16 15 N SD: 0.5700 c. M:-0.9806 c. 296: 25 41 29 8 29 41 25 20 21 16 21 20 N SD: 0.0649 c. M:-0.1116 c. 960: 81 133 94 26 94 133 81 65 68 52 68 65 N SD: 0.0530 c. M: 0.0911 c. 1256: 106 174 123 34 123 174 106 85 89 68 89 85 N SD: 0.0252 c. M: 0.0433 c. 1552: 131 215 152 42 152 215 131 105 110 84 110 105 N SD: 0.0080 c. M: 0.0138 c. 1848: 156 256 181 50 181 256 156 125 131 100 131 125 N SD: 0.0037 c. M:-0.0063 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.2699 cents 2 x x x x x 3 x x x x x 4 S SD: 0.2849 cents 3 x x x x 4 x x 5 x x x 6 S SD: 12.3797 cents 4 x x 5 x x 6 x x 7 x x 8 S SD: 0.3291 cents 5 x 6 x x 7 x 8 x x 9 x 10 S SD: 14.0532 cents 6 x 7 x x 8:9 x 10 x 11 x 12 S SD: 6.7003 cents 7 x 8 x 9:10 x 11 x 12:13 x 14 S SD: 15.3385 cents 8 x 9:10 x 11:12:13 x 14 x 15:16 S SD: 10.2256 cents 9:10 x 11 x 12 x 14:15:16 x 17:18 S SD: 13.6176 cents 10:11:12 x 13:14:15:16:17 x 18:19:20 S SD: 10.7689 cents 11:12:13 x 14:15 x 17:18:19:20:21:22 SD: 8.2611 cents 12:13:14:15 x 16:18:19:20:21:22:23:24 S SD: 5.0697 cents 14:15:16:17:18:19:21:22:23 x 25:27:28 SD: 7.4142 cents 15:16:18 x 19:20:22:24:25:26:27:29:30 SD: 7.3326 cents 16:17:19:20 x 22:24:25:27:28:29:31:32 SD: 5.1845 cents 19:20:22 x 24:26:28:30:32:33:35:36:38 SD: 4.8731 cents 20:21:23:25 x 27:30:32:33:35:36:38:40 SD: 3.9899 cents 23:24:27:29 x 31:34:37:38:40:42:44:46 SD: 4.9090 cents 24:25:28:30:31:33:36:38:40:42:44:46:48 SD: 3.9003 cents 27:29:32:34 x 37:40:43:45:47:49:52:54 SD: 4.3527 cents 28:30:33:35:36:38:42:45:47:49:51:53:56 SD: 3.4299 cents 29:31:34:36:37:40:43:46:48:51:53:55:58 SD: 3.4155 cents 30:32:35:37:38:41:45:48:50:53:55:57:60 SD: 3.0932 cents 31:33:36:39 x 42:46:49:52:54:56:59:62 SD: 3.0534 cents 32:34:37:40:41:44:48:51:53:56:58:61:64 SD: 2.3878 cents 36:38:42:45:46:49:54:57:60:63:65:69:72 SD: 1.5284 cents 48:51:56:60:61:65:72:76:80:84:87:92:96 SD: 1.3252 cents 64:68:75:80:81:87:96:102:107:112:116:122:128 SD: 1.3133 cents 66:70:77:82:84:90:99:105:110:116:120:126:132 SD: 1.0103 cents 80:85:93:100:102:109:120:127:133:140:145:153:160 SD: 0.9351 cents 84:89:98:105:107:114:126:134:140:147:153:160:168 SD: 0.8751 cents 88:93:103:110:112:120:132:140:147:154:160:168:176 SD: 0.7529 cents 96:102:112:120:122:131:144:153:160:168:174:183:192 SD: 0.7130 cents 100:106:117:125:127:136:150:159:167:175:182:191:200 SD: 0.6786 cents 120:127:140:150:153:163:180:191:200:210:218:229:240 SD: 0.5882 cents 132:140:154:165:168:180:198:210:220:231:240:252:264 SD: 0.2372 cents 300:318:350:375:382:409:450:477:500:525:545:573:600 SD: 0.2155 cents 312:331:364:390:397:425:468:496:520:546:567:596:624 SD: 0.2021 cents 329:349:384:411:419:448:493:523:548:576:598:628:658 SD: 0.1849 cents 348:369:406:435:443:474:522:553:580:609:632:664:696 SD: 0.1809 cents 381:404:445:476:485:519:571:606:635:667:692:727:762 SD: 0.1753 cents 414:439:483:517:527:564:621:658:690:725:752:790:828 SD: 0.1514 cents 461:489:538:576:587:628:691:733:768:807:838:880:922 SD: 0.1334 cents 513:544:599:641:653:699:769:816:855:898:932:979:1026 SD: 0.1313 cents 546:579:637:682:695:744:819:868:910:956:992:1042:1092 SD: 0.1176 cents