Scala analysis: thrush12
Thrush[12] (126/125, 176/175) hobbit in the POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 80.436 cents 80.435830 2: 230.319 cents 230.318970 3: 310.755 cents 310.754800 4: 391.191 cents 391.190620 5: 498.055 cents 498.054580 6: 578.490 cents 578.490410 7: 701.945 cents 701.945420 8: 808.809 cents 808.809380 9: 889.245 cents 889.245200 10: 969.681 cents 969.681030 11: 1119.564 cents 1119.564170 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 80.4358 cents 80.4358 1: 80.4358 cents 80.4358 2: 149.8831 cents 149.8831 3: 80.4358 cents 80.4358 4: 80.4358 cents 80.4358 5: 106.8640 cents 106.8640 6: 80.4358 cents 80.4358 7: 123.4550 cents 123.4550 8: 106.8640 cents 106.8640 9: 80.4358 cents 80.4358 10: 80.4358 cents 80.4358 11: 149.8831 cents 149.8831 12: 80.4358 cents 80.4358
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 80.43583 cents 1: 2 106.86396 cents 1: 1 123.45501 cents 1: 2 149.88314 cents 2: 3 160.87165 cents 2: 3 187.29978 cents 2: 1 203.89084 cents 2: 5 230.31897 cents 3: 3 267.73561 cents 3: 9 310.75480 cents 4: 1 348.17144 cents 4: 7 391.19062 cents 4: 3 417.61875 cents 4: 1 460.63794 cents 5: 4 471.62645 cents 5: 5 498.05458 cents 5: 3 541.07376 cents 6: 6 578.49041 cents 6: 6 621.50959 cents 7: 3 658.92623 cents 7: 5 701.94542 cents 7: 4 728.37355 cents 8: 1 739.36206 cents 8: 3 782.38125 cents 8: 7 808.80938 cents 8: 1 851.82856 cents 9: 9 889.24520 cents 9: 3 932.26439 cents 10: 5 969.68103 cents 10: 1 996.10916 cents 10: 3 1012.70022 cents 10: 3 1039.12834 cents 11: 2 1050.11686 cents 11: 1 1076.54499 cents 11: 2 1093.13604 cents 11: 7 1119.56417 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.27273 = 36/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 80.4 230.3 310.8 391.2 498.1 578.5 701.9 808.8 889.2 969.7 1119.6 1200.0 80.4 : 149.9 230.3 310.8 417.6 498.1 621.5 728.4 808.8 889.2 1039.1 1119.6 1200.0 230.3 : 80.4 160.9 267.7 348.2 471.6 578.5 658.9 739.4 889.2 969.7 1050.1 1200.0 310.8 : 80.4 187.3 267.7 391.2 498.1 578.5 658.9 808.8 889.2 969.7 1119.6 1200.0 391.2 : 106.9 187.3 310.8 417.6 498.1 578.5 728.4 808.8 889.2 1039.1 1119.6 1200.0 498.1 : 80.4 203.9 310.8 391.2 471.6 621.5 701.9 782.4 932.3 1012.7 1093.1 1200.0 578.5 : 123.5 230.3 310.8 391.2 541.1 621.5 701.9 851.8 932.3 1012.7 1119.6 1200.0 701.9 : 106.9 187.3 267.7 417.6 498.1 578.5 728.4 808.8 889.2 996.1 1076.5 1200.0 808.8 : 80.4 160.9 310.8 391.2 471.6 621.5 701.9 782.4 889.2 969.7 1093.1 1200.0 889.2 : 80.4 230.3 310.8 391.2 541.1 621.5 701.9 808.8 889.2 1012.7 1119.6 1200.0 969.7 : 149.9 230.3 310.8 460.6 541.1 621.5 728.4 808.8 932.3 1039.1 1119.6 1200.0 1119.6: 80.4 160.9 310.8 391.2 471.6 578.5 658.9 782.4 889.2 969.7 1050.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.4358 .. 149.8831 cents 69.44731 cents 80.43583 cents 2: 160.8717 .. 230.3190 cents 69.44732 cents 10.98851 cents 3: 267.7356 .. 310.7548 cents 43.01919 cents 37.41664 cents 4: 348.1714 .. 460.6379 cents 112.46650 cents 37.41664 cents 5: 471.6265 .. 541.0738 cents 69.44731 cents 10.98851 cents 6: 578.4904 .. 621.5096 cents 43.01918 cents 37.41665 cents 7: 658.9262 .. 728.3736 cents 69.44732 cents 37.41664 cents 8: 739.3621 .. 851.8286 cents 112.46650 cents 10.98851 cents 9: 889.2452 .. 932.2644 cents 43.01919 cents 37.41664 cents 10: 969.6810 .. 1039.1283 cents 69.44731 cents 37.41664 cents 11: 1050.1169 .. 1119.5642 cents 69.44731 cents 10.98852 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 80.43582 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 149.88314 cents Average / Smallest step : 1.243227 Largest / Average step : 1.498831 Largest / Smallest step : 1.863388 Median interval of one step : 80.43583 cents, amount: 7 Most common interval of one step : 80.43583 cents, amount: 7 Least squares average step : 99.69020 cents, oct.: 1196.28244 cents Scale is strictly proper Step pattern alph. order: ABAACADCAABA Step pattern size order : ADAABACBAADA Scale is a Constant Structure, by a margin of 10.98851 cents Scale diversity : 1.369069 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.357771 Rothenberg efficiency : 0.419108 redundancy: 0.580892 Efficiency x scale size : 5.029293 Number of different interval sizes : 36 = 3.27273 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.27273 = 36/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 10.98851 cents Most common intervals : 310.75480 cents & inv., amount: 9 Most common triad is 0.0 310.755 889.245 cents, amount: 6 Number of recognisable fifths : 5, average 701.9454 cents Formal octave complements present : 11 = 91.6667% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 16.9823 c. M:-30.3190 c. Twelve-tone Chromatic (1/11-comma) 15: 1 2 1 1 1 1 2 1 1 1 2 1 P D3 SD: 11.2094 c. M: 18.4904 c. 27: 2 3 2 2 2 2 3 2 2 2 3 2 SP D3 SD: 7.0594 c. M:-9.1657 c. 31: 2 4 2 2 3 2 3 3 2 2 4 2 P SD: 3.1581 c. M:-5.1712 c. 46: 3 6 3 3 4 3 5 4 3 3 6 3 P SD: 2.7735 c. M: 4.5774 c. 58: 4 7 4 4 5 4 6 5 4 4 7 4 SP SD: 1.7928 c. M:-2.7328 c. 89: 6 11 6 6 8 6 9 8 6 6 11 6 SP SD: 0.7508 c. M:-1.2849 c. 135: 9 17 9 9 12 9 14 12 9 9 17 9 SP SD: 0.4621 c. M:-0.7921 c. 193: 13 24 13 13 17 13 20 17 13 13 24 13 SP SD: 0.3999 c. M:-0.6453 c. 224: 15 28 15 15 20 15 23 20 15 15 28 15 SP SD: 0.0933 c. M:-0.1597 c. 641: 43 80 43 43 57 43 66 57 43 43 80 43 SP SD: 0.0568 c. M:-0.0827 c. 865: 58 108 58 58 77 58 89 77 58 58 108 58 SP SD: 0.0207 c. M:-0.0300 c. 1089: 73 136 73 73 97 73 112 97 73 73 136 73 SP SD: 0.0127 c. M:-0.0220 c. 1954: 131 244 131 131 174 131 201 174 131 131 244 131 SP SD: 0.0124 c. M:-0.0221 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 0.0048 cents 3 x x x x 4 x x x 5 x x 6 S SD: 1.6288 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 1.2378 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 9.7154 cents 6 x 7 x x 8 x 9 x 10 x 11:12 S SD: 13.2163 cents 7 x 8 x 9 x 10 x 11 x 12:13:14 S SD: 12.5906 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 7.3376 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 11.1161 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 9.7375 cents 11:12 x 13:14:15 x 17 x 18:19:21:22 SD: 12.2550 cents 12:13:14 x 15:16:17:18:19:20:21:23:24 SD: 6.7947 cents 13:14:15 x 16:17:18:20:21:22:23:25:26 SD: 8.2767 cents 14:15:16:17:18:19:20:21:22:23:25:27:28 SD: 8.1658 cents 15:16:17:18:19:20:21:23:24:25:26:29:30 SD: 5.1396 cents 20:21:23:24:25:27:28:30:32:33:35:38:40 SD: 2.9684 cents 35:37:40:42:44:47:49:53:56:59:61:67:70 SD: 2.7158 cents 36:38:41:43:45:48:50:54:57:60:63:69:72 SD: 1.9985 cents 40:42:46:48:50:53:56:60:64:67:70:76:80 SD: 1.7523 cents 55:58:63:66:69:73:77:83:88:92:96:105:110 SD: 1.7156 cents 56:59:64:67:70:75:78:84:89:94:98:107:112 SD: 1.4649 cents 63:66:72:75:79:84:88:95:101:105:110:120:126 SD: 1.4342 cents 64:67:73:77:80:85:89:96:102:107:112:122:128 SD: 1.2784 cents 66:69:75:79:83:88:92:99:105:110:116:126:132 SD: 1.2625 cents 76:80:87:91:95:101:106:114:121:127:133:145:152 SD: 1.0651 cents 84:88:96:101:105:112:117:126:134:140:147:160:168 SD: 1.0476 cents 86:90:98:103:108:115:120:129:137:144:151:164:172 SD: 0.8583 cents 106:111:121:127:133:141:148:159:169:177:186:202:212 SD: 0.6205 cents 126:132:144:151:158:168:176:189:201:211:221:241:252 SD: 0.5171 cents 146:153:167:175:183:195:204:219:233:244:256:279:292 SD: 0.4758 cents 168:176:192:201:211:224:235:252:268:281:294:321:336 SD: 0.3984 cents 189:198:216:226:237:252:264:283:302:316:331:361:378 SD: 0.3705 cents 210:220:240:251:263:280:293:315:335:351:368:401:420 SD: 0.3024 cents 232:243:265:278:291:309:324:348:370:388:406:443:464 SD: 0.3009 cents 252:264:288:302:316:336:352:378:402:421:441:481:504 SD: 0.2561 cents 316:331:361:378:396:421:441:474:504:528:553:603:632 SD: 0.2182 cents 356:373:407:426:446:475:497:534:568:595:623:680:712 SD: 0.2175 cents 360:377:411:431:451:480:503:540:574:602:630:687:720 SD: 0.2175 cents 366:383:418:438:459:488:511:549:584:612:641:699:732 SD: 0.2013 cents 378:396:432:452:474:504:528:567:603:632:662:722:756 SD: 0.1641 cents 438:459:500:524:549:584:612:657:699:732:767:836:876 SD: 0.1381 cents 462:484:528:553:579:616:645:693:737:772:809:882:924 SD: 0.1204 cents