Scala analysis: xen18-erlich-compton-12
12L MOS for Compton, L=100.05
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 100.050 cents 100.050000 2: 200.100 cents 200.100000 3: 300.150 cents 300.150000 4: 400.200 cents 400.200000 5: 500.250 cents 500.250000 6: 600.300 cents 600.300000 7: 700.350 cents 700.350000 8: 800.400 cents 800.400000 9: 900.450 cents 900.450000 10: 1000.500 cents 1000.500000 11: 1100.550 cents 1100.550000 12: 1200.600 cents 1200.600000
SHOW/INTERVAL
0: 100.0500 cents 100.0500 1: 100.0500 cents 100.0500 2: 100.0500 cents 100.0500 3: 100.0500 cents 100.0500 4: 100.0500 cents 100.0500 5: 100.0500 cents 100.0500 6: 100.0500 cents 100.0500 7: 100.0500 cents 100.0500 8: 100.0500 cents 100.0500 9: 100.0500 cents 100.0500 10: 100.0500 cents 100.0500 11: 100.0500 cents 100.0500 12: 100.0500 cents 100.0500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 12 100.05000 cents 2: 12 200.10000 cents 3: 12 300.15000 cents 4: 12 400.20000 cents 5: 12 500.25000 cents 6: 12 600.30000 cents 7: 12 700.35000 cents 8: 12 800.40000 cents 9: 12 900.45000 cents 10: 12 1000.50000 cents 11: 12 1100.55000 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 100.0 200.1 300.1 400.2 500.3 600.3 700.4 800.4 900.5 1000.5 1100.5 1200.6 100.0 : 100.0 200.1 300.2 400.2 500.3 600.3 700.3 800.4 900.5 1000.5 1100.5 1200.6 200.1 : 100.0 200.1 300.2 400.2 500.3 600.3 700.4 800.4 900.5 1000.5 1100.5 1200.6 300.1 : 100.1 200.1 300.1 400.2 500.3 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 400.2 : 100.0 200.1 300.2 400.2 500.3 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 500.3 : 100.0 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 600.3 : 100.1 200.1 300.1 400.2 500.3 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 700.4 : 100.0 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 800.4 : 100.1 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.5 1000.5 1100.6 1200.6 900.5 : 100.0 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 1000.5: 100.0 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.5 1000.5 1100.5 1200.6 1100.5: 100.0 200.1 300.1 400.2 500.2 600.3 700.3 800.4 900.4 1000.5 1100.5 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0500 .. 100.0500 cents 1/1, 0.0000 cents 100.05000 cents 2: 200.1000 .. 200.1000 cents 1/1, 0.0000 cents 100.05000 cents 3: 300.1500 .. 300.1500 cents 1/1, 0.0000 cents 100.05000 cents 4: 400.2000 .. 400.2000 cents 1/1, 0.0000 cents 100.05000 cents 5: 500.2500 .. 500.2500 cents 1/1, 0.0000 cents 100.05000 cents 6: 600.3000 .. 600.3000 cents 1/1, 0.0000 cents 100.05000 cents 7: 700.3500 .. 700.3500 cents 1/1, 0.0000 cents 100.05000 cents 8: 800.4000 .. 800.4000 cents 1/1, 0.0000 cents 100.05000 cents 9: 900.4500 .. 900.4500 cents 1/1, 0.0000 cents 100.05000 cents 10: 1000.5000 .. 1000.5000 cents 1/1, 0.0000 cents 100.05000 cents 11: 1100.5500 .. 1100.5500 cents 1/1, 0.0000 cents 100.05000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 100.05000 cents, class 1 Average step (divided formal octave): 100.0500 cents Largest one step interval : 100.05000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 100.05000 cents, amount: 12 Most common interval of one step : 100.05000 cents, amount: 12 Least squares average step : 100.05000 cents, oct.: 1200.60000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 100.05000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.083333 redundancy: 0.916667 Efficiency x scale size : 1.000000 Number of different interval sizes : 11 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 12, average 700.3500 cents Number of recognisable fourths : 12, average 500.2500 cents Scale contains two identical disjunct hexachords Best fifths form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c. Twelve-tone Chromatic (1/11-comma)
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.6000 cents 2 x x x x x x 3 x x x x 4 S SD: 0.8567 cents 3 x x x x 4 x x x 5 x x 6 S SD: 5.4176 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 8.6567 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 6.4049 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.2223 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 9.7929 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 9.1633 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 8.1713 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 6.9451 cents 11 x 12:13:14:15:16 x 17:19:20:21:22 SD: 11.1270 cents 12:13 x 14:15:16:17:18:19:20:21:23:24 SD: 6.2649 cents 13:14:15 x 16:17:18:19:21:22:23:25:26 SD: 9.7105 cents 14:15:16:17:18:19:20:21:22:24:25:26:28 S SD: 7.0671 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.9818 cents 19:20:21:23:24:25:27:28:30:32:34:36:38 SD: 4.9450 cents 20:21:22:24:25:27:28:30:32:34:36:38:40 SD: 4.9388 cents 22:23:25:26:28:29:31:33:35:37:39:42:44 SD: 4.0731 cents 24:25:27:29:30:32:34:36:38:40:43:45:48 SD: 4.0445 cents 26:28:29:31:33:35:37:39:41:44:46:49:52 SD: 3.5730 cents 27:29:30:32:34:36:38:40:43:45:48:51:54 SD: 3.4287 cents 31:33:35:37:39:41:44:46:49:52:55:59:62 SD: 2.8099 cents 32:34:36:38:40:43:45:48:51:54:57:60:64 SD: 2.1944 cents 46:49:52:55:58:61:65:69:73:77:82:87:92 SD: 1.9435 cents 48:51:54:57:60:64:68:72:76:81:86:91:96 SD: 1.7386 cents 50:53:56:59:63:67:71:75:79:84:89:94:100 SD: 1.7328 cents 51:54:57:61:64:68:72:76:81:86:91:96:102 SD: 1.5984 cents 54:57:61:64:68:72:76:81:86:91:96:102:108 SD: 1.5307 cents 63:67:71:75:79:84:89:94:100:106:112:119:126 SD: 1.3186 cents 65:69:73:77:82:87:92:97:103:109:116:123:130 SD: 1.1706 cents 80:85:90:95:101:107:113:120:127:135:143:151:160 SD: 0.9535 cents 84:89:94:100:106:112:119:126:133:141:150:159:168 SD: 0.9084 cents 99:105:111:118:125:132:140:148:157:167:176:187:198 SD: 0.8507 cents 101:107:113:120:127:135:143:151:160:170:180:191:202 SD: 0.8183 cents 104:110:117:124:131:139:147:156:165:175:185:196:208 SD: 0.7261 cents 116:123:130:138:146:155:164:174:184:195:207:219:232 SD: 0.4495 cents 170:180:191:202:214:227:240:255:270:286:303:321:340 SD: 0.4013 cents 215:228:241:256:271:287:304:322:341:362:383:406:430 SD: 0.3872 cents 220:233:247:262:277:294:311:330:349:370:392:415:440 SD: 0.3795 cents 236:250:265:281:297:315:334:354:375:397:421:446:472 SD: 0.3644 cents 238:252:267:283:300:318:337:357:378:400:424:449:476 SD: 0.3465 cents 239:253:268:284:301:319:338:358:379:402:426:451:478 SD: 0.3349 cents 253:268:284:301:319:338:358:379:402:426:451:478:506 SD: 0.2574 cents 301:319:338:358:379:402:426:451:478:506:536:568:602 SD: 0.2570 cents 335:355:376:398:422:447:474:502:532:564:597:633:670 SD: 0.2439 cents 343:363:385:408:432:458:485:514:545:577:611:648:686 SD: 0.2414 cents 349:370:392:415:440:466:494:523:554:587:622:659:698 SD: 0.1959 cents 369:391:414:439:465:493:522:553:586:621:658:697:738 SD: 0.1847 cents 391:414:439:465:493:522:553:586:621:658:697:738:782 SD: 0.1744 cents 439:465:493:522:553:586:621:658:697:738:782:829:878 SD: 0.1660 cents 465:493:522:553:586:621:658:697:738:782:829:878:930 SD: 0.1639 cents 492:521:552:585:620:657:696:737:781:828:877:929:984 SD: 0.1596 cents 507:537:569:603:639:677:717:760:805:853:904:957:1014 SD: 0.1298 cents 538:570:604:640:678:718:761:806:854:905:959:1016:1076 SD: 0.1034 cents