Scala analysis: 12highschool1-rodan
12highschool1 tempered in 13-limit POTE-tuned rodan
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 82.768 cents 82.767930 2: 206.893 cents 206.892830 3: 317.250 cents 317.250070 4: 386.196 cents 386.196340 5: 496.554 cents 496.553590 6: 579.322 cents 579.321520 7: 703.446 cents 703.446410 8: 813.804 cents 813.803660 9: 882.750 cents 882.749930 10: 965.518 cents 965.517860 11: 1089.643 cents 1089.642750 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 110.3573 cents 110.3573 1: 82.7679 cents 82.7679 2: 124.1249 cents 124.1249 3: 110.3572 cents 110.3572 4: 68.9463 cents 68.9463 5: 110.3573 cents 110.3573 6: 82.7679 cents 82.7679 7: 124.1249 cents 124.1249 8: 110.3572 cents 110.3572 9: 68.9463 cents 68.9463 10: 82.7679 cents 82.7679 11: 124.1249 cents 124.1249 12: 110.3573 cents 110.3573
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 68.94627 cents 1: 3 82.76793 cents 1: 4 110.35724 cents 1: 3 124.12490 cents 2: 1 151.71420 cents 2: 3 179.30351 cents 2: 2 193.12518 cents 2: 3 206.89283 cents 2: 3 234.48214 cents 3: 2 262.07145 cents 3: 1 275.83909 cents 3: 1 289.66076 cents 3: 2 303.42841 cents 3: 6 317.25007 cents 4: 1 372.42869 cents 4: 6 386.19634 cents 4: 1 400.01800 cents 4: 1 413.78566 cents 4: 2 427.60732 cents 4: 1 441.37497 cents 5: 2 468.96427 cents 5: 7 496.55359 cents 5: 1 510.32123 cents 5: 1 524.14290 cents 5: 1 551.73221 cents 6: 1 565.49986 cents 6: 3 579.32152 cents 6: 2 593.08916 cents 6: 2 606.91083 cents 6: 3 620.67848 cents 6: 1 634.50014 cents 7: 1 648.26779 cents 7: 1 675.85710 cents 7: 1 689.67877 cents 7: 7 703.44641 cents 7: 2 731.03573 cents 8: 1 758.62503 cents 8: 2 772.39268 cents 8: 1 786.21434 cents 8: 1 799.98200 cents 8: 6 813.80366 cents 8: 1 827.57131 cents 9: 6 882.74993 cents 9: 2 896.57159 cents 9: 1 910.33924 cents 9: 1 924.16091 cents 9: 2 937.92855 cents 10: 3 965.51786 cents 10: 3 993.10717 cents 10: 2 1006.87482 cents 10: 3 1020.69649 cents 10: 1 1048.28580 cents 11: 3 1075.87510 cents 11: 4 1089.64275 cents 11: 3 1117.23207 cents 11: 2 1131.05373 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.09091 = 56/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 82.8 206.9 317.3 386.2 496.6 579.3 703.4 813.8 882.7 965.5 1089.6 1200.0 82.8 : 124.1 234.5 303.4 413.8 496.6 620.7 731.0 800.0 882.7 1006.9 1117.2 1200.0 206.9 : 110.4 179.3 289.7 372.4 496.6 606.9 675.9 758.6 882.7 993.1 1075.9 1200.0 317.3 : 68.9 179.3 262.1 386.2 496.6 565.5 648.3 772.4 882.7 965.5 1089.6 1200.0 386.2 : 110.4 193.1 317.3 427.6 496.6 579.3 703.4 813.8 896.6 1020.7 1131.1 1200.0 496.6 : 82.8 206.9 317.3 386.2 469.0 593.1 703.4 786.2 910.3 1020.7 1089.6 1200.0 579.3 : 124.1 234.5 303.4 386.2 510.3 620.7 703.4 827.6 937.9 1006.9 1117.2 1200.0 703.4 : 110.4 179.3 262.1 386.2 496.6 579.3 703.4 813.8 882.7 993.1 1075.9 1200.0 813.8 : 68.9 151.7 275.8 386.2 469.0 593.1 703.4 772.4 882.7 965.5 1089.6 1200.0 882.7 : 82.8 206.9 317.3 400.0 524.1 634.5 703.4 813.8 896.6 1020.7 1131.1 1200.0 965.5 : 124.1 234.5 317.3 441.4 551.7 620.7 731.0 813.8 937.9 1048.3 1117.2 1200.0 1089.6: 110.4 193.1 317.3 427.6 496.6 606.9 689.7 813.8 924.2 993.1 1075.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.9463 .. 124.1249 cents 55.17863 cents 68.94627 cents 2: 151.7142 .. 234.4821 cents 82.76794 cents 27.58930 cents 3: 262.0714 .. 317.2501 cents 55.17862 cents 27.58931 cents 4: 372.4287 .. 441.3750 cents 68.94628 cents 55.17862 cents 5: 468.9643 .. 551.7322 cents 82.76794 cents 27.58930 cents 6: 565.4999 .. 634.5001 cents 69.00028 cents 13.76765 cents 7: 648.2678 .. 731.0357 cents 82.76794 cents 13.76765 cents 8: 758.6250 .. 827.5713 cents 68.94628 cents 27.58930 cents 9: 882.7499 .. 937.9286 cents 55.17862 cents 55.17862 cents 10: 965.5179 .. 1048.2858 cents 82.76794 cents 27.58931 cents 11: 1075.8751 .. 1131.0537 cents 55.17863 cents 27.58930 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 68.94627 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 124.12490 cents Average / Smallest step : 1.450405 Largest / Average step : 1.241249 Largest / Smallest step : 1.800313 Median interval of one step : 110.35724 cents, amount: 4 Most common interval of one step : 110.35724 cents, amount: 4 Least squares average step : 99.03437 cents, oct.: 1188.41240 cents Scale is strictly proper Step pattern alph. order: ABCDCABCDABC Step pattern size order : BDCACBDCABDC Scale is a Constant Structure, by a margin of 13.76765 cents Scale diversity : 1.497997 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.367767 Rothenberg efficiency : 0.303412 redundancy: 0.696588 Efficiency x scale size : 3.640945 Number of different interval sizes : 56 = 5.09091 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 5.09091 = 56/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 13.76764 cents Most common intervals : 496.55359 cents & inv., amount: 7 Most common triad is 0.0 496.554 703.446 cents, amount: 3 Number of recognisable fifths : 8, average 701.7255 cents Best fifths form a closed circle Formal octave complements present : 7 = 58.3333% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 15.9904 c. M:-34.4821 c. Twelve-tone Chromatic (1/11-comma) 15: 1 2 1 1 1 1 2 1 1 1 2 1 P D3 SD: 16.7663 c. M:-33.1072 c. 19: 1 2 2 1 2 1 2 2 1 1 2 2 P D3 SD: 11.7330 c. M: 19.6100 c. 25: 2 2 3 1 2 2 3 2 1 2 3 2 N SD: 12.6006 c. M:-18.7499 c. 27: 2 3 2 2 2 2 3 2 2 2 3 2 SP D3 SD: 11.0302 c. M:-21.4684 c. 29: 2 3 3 1 3 2 3 3 1 2 3 3 N SD: 9.7473 c. M: 13.7937 c. 31: 2 3 3 2 3 2 3 3 2 2 3 3 SP D3 SD: 6.1376 c. M: 13.3444 c. 41: 3 4 4 2 4 3 4 4 2 3 4 4 P SD: 4.3068 c. M: 6.7159 c. 46: 3 5 4 3 4 3 5 4 3 3 5 4 SP SD: 3.8538 c. M:-6.0094 c. 56: 4 6 5 3 5 4 6 5 3 4 6 5 P SD: 3.3968 c. M:-7.3929 c. 68: 5 7 6 4 6 5 7 6 4 5 7 6 SP SD: 3.2793 c. M:-5.4674 c. 75: 5 8 7 4 7 5 8 7 4 5 8 7 P SD: 2.5569 c. M: 5.5179 c. 83: 6 8 8 5 7 6 9 7 5 6 8 8 SP SD: 3.6612 c. M: 5.3054 c. 87: 6 9 8 5 8 6 9 8 5 6 9 8 SP SD: 0.0080 c. M:-0.0124 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: 0.7457 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.7312 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.9076 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 10.4402 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 10.7594 cents 7 x 8 x 9 x 10 x 11 x 12:13:14 S SD: 11.7695 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 4.8771 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 10.0931 cents 10 x 11:12 x 13:14:15:16:17 x 19:20 SD: 8.1006 cents 11 x 12:13:14:15 x 17 x 18:19:21:22 SD: 11.7875 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 8.0848 cents 13:14:15 x 16:17:18:20:21:22:23:24:26 S SD: 9.0369 cents 14:15:16:17:18:19:20:21:22:23:24:26:28 S SD: 8.3611 cents 15:16:17:18:19:20:21:23:24:25:26:28:30 SD: 4.6237 cents 20:21:23:24:25:27:28:30:32:33:35:38:40 SD: 4.1679 cents 23:24:26:28:29:31:32:35:37:38:40:43:46 SD: 3.9636 cents 24:25:27:29:30:32:34:36:38:40:42:45:48 SD: 2.8580 cents 36:38:41:43:45:48:50:54:58:60:63:68:72 SD: 2.5617 cents 39:41:44:47:49:52:55:59:62:65:68:73:78 SD: 2.2322 cents 40:42:45:48:50:53:56:60:64:67:70:75:80 SD: 1.2699 cents 60:63:68:72:75:80:84:90:96:100:105:113:120 SD: 1.0843 cents 80:84:90:96:100:107:112:120:128:133:140:150:160 SD: 0.8104 cents 103:108:116:124:129:137:144:155:165:172:180:193:206 SD: 0.7913 cents 105:110:118:126:131:140:147:158:168:175:183:197:210 SD: 0.7736 cents 108:113:122:130:135:144:151:162:173:180:189:203:216 SD: 0.7508 cents 120:126:135:144:150:160:168:180:192:200:210:225:240 S SD: 0.5556 cents 144:151:162:173:180:192:201:216:230:240:252:270:288 SD: 0.5460 cents 159:167:179:191:199:212:222:239:254:265:278:298:318 SD: 0.5302 cents 163:171:184:196:204:217:228:245:261:271:285:306:326 SD: 0.5123 cents 165:173:186:198:206:220:231:248:264:275:288:310:330 SD: 0.4740 cents 180:189:203:216:225:240:252:270:288:300:314:338:360 SD: 0.4611 cents 183:192:206:220:229:244:256:275:293:305:320:343:366 SD: 0.4579 cents 184:193:207:221:230:245:257:276:294:306:321:345:368 SD: 0.4532 cents 188:197:212:226:235:250:263:282:301:313:328:353:376 SD: 0.4429 cents 189:198:213:227:236:252:264:284:302:315:330:355:378 SD: 0.4144 cents 204:214:230:245:255:272:285:306:326:340:356:383:408 SD: 0.3346 cents 228:239:257:274:285:304:319:342:365:380:398:428:456 SD: 0.3344 cents 229:240:258:275:286:305:320:344:366:381:400:430:458 SD: 0.3032 cents 244:256:275:293:305:325:341:366:390:406:426:458:488 SD: 0.2444 cents 292:306:329:351:365:389:408:438:467:486:510:548:584 SD: 0.2425 cents 307:322:346:369:384:409:429:461:491:511:536:576:614 SD: 0.1846 cents 347:364:391:417:434:462:485:521:555:578:606:651:694 SD: 0.1739 cents 403:423:454:484:504:537:563:605:645:671:704:756:806 SD: 0.1549 cents 433:454:488:520:541:577:605:650:693:721:756:813:866 SD: 0.1482 cents 473:496:533:568:591:630:661:710:757:788:826:888:946 SD: 0.1381 cents 528:554:595:634:660:703:738:793:845:879:922:991:1056 SD: 0.1344 cents 552:579:622:663:690:735:771:829:883:919:964:1036:1104 SD: 0.1286 cents 553:580:623:664:691:737:773:830:885:921:966:1038:1106 SD: 0.1286 cents 568:596:640:682:710:757:794:853:909:946:992:1066:1136 SD: 0.1236 cents 576:604:649:692:720:767:805:865:922:959:1006:1081:1152 SD: 0.1180 cents 592:621:667:711:740:789:827:889:947:986:1034:1111:1184 SD: 0.1106 cents