Scala analysis: biggulp-bunya
biggulp tempered in POTE-tuned 13-limit bunya
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 62.401 cents 62.401230 2: 207.086 cents 207.086420 3: 269.488 cents 269.487640 4: 382.972 cents 382.972220 5: 476.574 cents 476.574060 6: 558.858 cents 558.858020 7: 703.543 cents 703.543210 8: 765.944 cents 765.944440 9: 910.630 cents 910.629620 10: 973.031 cents 973.030850 11: 1086.515 cents 1086.515430 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 113.4846 cents 113.4846 1: 62.4012 cents 62.4012 2: 144.6852 cents 144.6852 3: 62.4012 cents 62.4012 4: 113.4846 cents 113.4846 5: 93.6018 cents 93.6018 6: 82.2840 cents 82.2840 7: 144.6852 cents 144.6852 8: 62.4012 cents 62.4012 9: 144.6852 cents 144.6852 10: 62.4012 cents 62.4012 11: 113.4846 cents 113.4846 12: 113.4846 cents 113.4846
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 62.40123 cents 1: 1 82.28396 cents 1: 1 93.60184 cents 1: 3 113.48458 cents 1: 3 144.68519 cents 2: 4 175.88580 cents 2: 6 207.08642 cents 2: 2 226.96915 cents 3: 3 269.48764 cents 3: 4 289.37038 cents 3: 4 320.57099 cents 3: 1 351.77160 cents 4: 2 351.77160 cents 4: 4 382.97222 cents 4: 2 414.17283 cents 4: 4 434.05557 cents 5: 1 476.57406 cents 5: 9 496.45679 cents 5: 2 527.65740 cents 6: 4 558.85802 cents 6: 2 590.05863 cents 6: 2 609.94137 cents 6: 4 641.14198 cents 7: 2 672.34260 cents 7: 9 703.54321 cents 7: 1 723.42594 cents 8: 4 765.94444 cents 8: 2 785.82717 cents 8: 4 817.02779 cents 8: 2 848.22839 cents 9: 1 848.22840 cents 9: 4 879.42901 cents 9: 4 910.62962 cents 9: 3 930.51236 cents 10: 2 973.03085 cents 10: 6 992.91358 cents 10: 4 1024.11420 cents 11: 3 1055.31481 cents 11: 3 1086.51543 cents 11: 1 1106.39816 cents 11: 1 1117.71604 cents 11: 4 1137.59877 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 3.81818 = 42/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 62.4 207.1 269.5 383.0 476.6 558.9 703.5 765.9 910.6 973.0 1086.5 1200.0 62.4 : 144.7 207.1 320.6 414.2 496.5 641.1 703.5 848.2 910.6 1024.1 1137.6 1200.0 207.1 : 62.4 175.9 269.5 351.8 496.5 558.9 703.5 765.9 879.4 992.9 1055.3 1200.0 269.5 : 113.5 207.1 289.4 434.1 496.5 641.1 703.5 817.0 930.5 992.9 1137.6 1200.0 383.0 : 93.6 175.9 320.6 383.0 527.7 590.1 703.5 817.0 879.4 1024.1 1086.5 1200.0 476.6 : 82.3 227.0 289.4 434.1 496.5 609.9 723.4 785.8 930.5 992.9 1106.4 1200.0 558.9 : 144.7 207.1 351.8 414.2 527.7 641.1 703.5 848.2 910.6 1024.1 1117.7 1200.0 703.5 : 62.4 207.1 269.5 383.0 496.5 558.9 703.5 765.9 879.4 973.0 1055.3 1200.0 765.9 : 144.7 207.1 320.6 434.1 496.5 641.1 703.5 817.0 910.6 992.9 1137.6 1200.0 910.6 : 62.4 175.9 289.4 351.8 496.5 558.9 672.3 765.9 848.2 992.9 1055.3 1200.0 973.0 : 113.5 227.0 289.4 434.1 496.5 609.9 703.5 785.8 930.5 992.9 1137.6 1200.0 1086.5: 113.5 175.9 320.6 383.0 496.5 590.1 672.3 817.0 879.4 1024.1 1086.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 62.4012 .. 144.6852 cents 82.28396 cents 62.40123 cents 2: 175.8858 .. 226.9691 cents 51.08335 cents 31.20061 cents 3: 269.4876 .. 351.7716 cents 82.28396 cents 42.51849 cents 4: 351.7716 .. 434.0556 cents 82.28397 cents 1/1, 0.0000 cents 5: 476.5741 .. 527.6574 cents 51.08334 cents 42.51849 cents 6: 558.8580 .. 641.1420 cents 82.28396 cents 31.20062 cents 7: 672.3426 .. 723.4259 cents 51.08334 cents 31.20062 cents 8: 765.9444 .. 848.2284 cents 82.28395 cents 42.51850 cents 9: 848.2284 .. 930.5124 cents 82.28396 cents 0.00001 cents 10: 973.0308 .. 1024.1142 cents 51.08335 cents 42.51849 cents 11: 1055.3148 .. 1137.5988 cents 82.28396 cents 31.20061 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 62.40122 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 144.68519 cents Average / Smallest step : 1.602533 Largest / Average step : 1.446852 Largest / Smallest step : 2.318628 Median interval of one step : 103.54321 cents, amount: 0 Most common interval of one step : 62.40123 cents, amount: 4 Least squares average step : 98.28146 cents, oct.: 1179.37748 cents Scale is proper Step pattern alph. order: ABACDEBABACC Step pattern size order : AEADCBEAEADD Scale is not a Constant Structure Scale diversity : 1.443282 Rothenberg stability : 0.954545 = 21/22 Lumma stability : 0.349732 Rothenberg efficiency : 0.401341 redundancy: 0.598659 Efficiency x scale size : 4.816089 Number of different interval sizes : 40 = 3.63636 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 3.81818 = 42/11 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 11.31788 cents Most common intervals : 496.45679 cents & inv., amount: 9 Most common triad is 0.0 496.457 703.543 cents, amount: 6 Number of recognisable fifths : 9, average 703.5432 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 24.3597 c. M:-41.1420 c. Twelve-tone Chromatic (1/11-comma) 13: 1 1 1 1 1 1 2 0 2 1 1 1 P D3 SD: 22.8518 c. M:-42.3538 c. 15: 1 2 0 2 1 1 2 1 1 1 2 1 P D3 SD: 22.7767 c. M:-34.0556 c. 17: 1 2 1 1 2 1 2 1 2 1 1 2 P M ME SD: 14.8935 c. M: 30.0310 c. 19: 1 2 1 2 1 2 2 1 2 1 2 2 P M ME SD: 17.2099 c. M: 34.4688 c. 20: 1 2 1 2 2 1 3 1 2 1 2 2 P D3 SD: 16.5773 c. M: 29.4876 c. 21: 1 3 1 2 1 2 2 1 3 1 2 2 P SD: 14.2758 c. M: 23.0873 c. 22: 1 3 1 2 2 1 3 1 3 1 2 2 N D3 SD: 9.0894 c. M:-16.6431 c. 34: 2 4 2 3 3 2 4 2 4 2 3 3 P D3 SD: 9.4806 c. M:-17.5436 c. 35: 2 4 2 3 3 2 5 1 5 1 4 3 N SD: 9.7106 c. M:-16.4568 c. 36: 2 4 2 3 3 3 4 2 4 2 3 4 SP T3 SD: 9.4071 c. M: 19.8488 c. 37: 2 4 2 4 3 2 5 2 4 2 4 3 P SD: 9.0293 c. M:-16.1873 c. 38: 2 5 2 3 3 3 4 2 5 2 3 4 P SD: 8.6459 c. M:-14.7229 c. 41: 2 5 2 4 3 3 5 2 5 2 4 4 P SD: 4.4753 c. M: 8.2814 c. 53: 3 6 3 5 4 4 6 3 6 3 5 5 SP SD: 3.4838 c. M:-7.1797 c. 63: 3 8 3 6 5 4 8 3 8 3 6 6 N SD: 3.1899 c. M: 6.4771 c. 75: 4 9 4 7 6 5 9 4 9 4 7 7 P SD: 1.8514 c. M:-3.4259 c. 116: 6 14 6 11 9 8 14 6 14 6 11 11 P SD: 0.3848 c. M: 0.7120 c. 307: 16 37 16 29 24 21 37 16 37 16 29 29 P SD: 0.1615 c. M:-0.2989 c. 423: 22 51 22 40 33 29 51 22 51 22 40 40 P SD: 0.0117 c. M:-0.0217 c. 2231: 116 269 116 211 174 153 269 116 269 116 211 211 P SD: 0.0089 c. M: 0.0165 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: 0.7941 cents 3 x x x x 4 x x x 5 x x 6 S SD: 11.3096 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 1.4002 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 16.6794 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 8.4011 cents 7 x 8 x x 9:10 x 11:12 x 13:14 S SD: 11.7270 cents 8 x 9 x 10 x 11:12 x x 14:15:16 S SD: 1.4384 cents 9 x 10 x 11:12 x x 14:15:16:17:18 S SD: 7.6741 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 9.9508 cents 11 x 12:13:14 x 15 x 17 x 19:21:22 SD: 10.6105 cents 12 x x 14:15:16:17:18:19:20:21:22:24 S SD: 7.3452 cents 13:14 x 15:16:17:18 x 20:22:23:24:26 S SD: 8.2389 cents 14:15:16 x 17:18:19:21:22:24:25:26:28 SD: 9.3635 cents 15:16:17:18:19:20:21 x 23:25:26:28:30 SD: 8.2304 cents 16:17:18:19:20:21:22:24:25:27:28:30:32 SD: 4.4085 cents 17:18:19:20:21:22:23 x 26:29:30:32:34 SD: 6.7141 cents 18:19:20:21:22:24:25:27:28:30:32:34:36 SD: 5.8030 cents 20:21 x 23:25:26:28:30:31:34:35:37:40 SD: 4.9070 cents 22:23:25:26:27:29:30:33:34:37:39:41:44 SD: 4.3828 cents 23:24:26:27:29:30:32:35:36:39:40:43:46 SD: 3.6153 cents 24:25:27:28:30:32:33:36:37:41:42:45:48 SD: 2.8665 cents 29:30:33:34:36:38:40:44:45:49:51:54:58 SD: 2.5913 cents 32:33:36:37:40:42:44:48:50:54:56:60:64 SD: 2.0663 cents 47:49:53:55:59:62:65:71:73:80:82:88:94 SD: 1.9589 cents 48:50:54:56:60:63:66:72:75:81:84:90:96 SD: 1.3884 cents 70:73:79:82:87:92:97:105:109:118:123:131:140 SD: 1.3871 cents 72:75:81:84:90:95:99:108:112:122:126:135:144 SD: 1.1618 cents 76:79:86:89:95:100:105:114:118:129:133:142:152 SD: 1.1299 cents 77:80:87:90:96:101:106:116:120:130:135:144:154 SD: 1.1030 cents 78:81:88:91:97:103:108:117:121:132:137:146:156 SD: 0.9663 cents 88:91:99:103:110:116:122:132:137:149:154:165:176 SD: 0.9192 cents 94:97:106:110:117:124:130:141:146:159:165:176:188 SD: 0.9173 cents 101:105:114:118:126:133:139:152:157:171:177:189:202 SD: 0.8099 cents 102:106:115:119:127:134:141:153:159:173:179:191:204 SD: 0.7599 cents 108:112:122:126:135:142:149:162:168:183:189:202:216 SD: 0.7333 cents 110:114:124:129:137:145:152:165:171:186:193:206:220 SD: 0.6585 cents 126:131:142:147:157:166:174:189:196:213:221:236:252 SD: 0.5490 cents 142:147:160:166:177:187:196:213:221:240:249:266:284 SD: 0.3505 cents 189:196:213:221:236:249:261:284:294:320:332:354:378 SD: 0.3168 cents 221:229:249:258:276:291:305:332:344:374:388:414:442 SD: 0.2737 cents 243:252:274:284:303:320:336:365:378:411:426:455:486 SD: 0.2720 cents 275:285:310:321:343:362:380:413:428:465:482:515:550 SD: 0.2554 cents 299:310:337:349:373:394:413:449:465:506:525:560:598 SD: 0.2538 cents 315:327:355:368:393:415:435:473:490:533:553:590:630 SD: 0.2474 cents 322:334:363:376:402:424:445:483:501:545:565:603:644 SD: 0.2446 cents 331:343:373:387:413:436:457:497:515:560:581:620:662 SD: 0.1638 cents 433:449:488:506:540:570:598:650:674:733:760:811:866 SD: 0.1334 cents 464:481:523:542:579:611:641:697:722:785:814:869:928 SD: 0.1171 cents 575:596:648:672:717:757:794:863:895:973:1009:1077:1150 SD: 0.1160 cents