Scala analysis: wilcmarv7
Wilson Class scale in 1/4-kleisma Marvel
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 84.467 cents 84.467193 2: 153.212 cents 153.211740 3: 315.641 cents 315.641287 4: 384.386 cents 384.385833 5: 468.853 cents 468.853027 6: 584.440 cents 584.440073 7: 700.027 cents 700.027120 8: 768.772 cents 768.771666 9: 900.081 cents 900.081360 10: 968.826 cents 968.825906 11: 1084.413 cents 1084.412953 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.5870 cents 115.5870 1: 84.4672 cents 84.4672 2: 68.7445 cents 68.7445 3: 162.4295 cents 162.4295 4: 68.7445 cents 68.7445 5: 84.4672 cents 84.4672 6: 115.5870 cents 115.5870 7: 115.5870 cents 115.5870 8: 68.7445 cents 68.7445 9: 131.3097 cents 131.3097 10: 68.7445 cents 68.7445 11: 115.5870 cents 115.5870 12: 115.5870 cents 115.5870
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 68.74455 cents 1: 2 84.46719 cents 1: 4 115.58705 cents 1: 1 131.30969 cents 1: 1 162.42955 cents 2: 2 153.21174 cents 2: 2 184.33159 cents 2: 4 200.05424 cents 2: 4 231.17409 cents 3: 3 268.79879 cents 3: 3 299.91864 cents 3: 6 315.64129 cents 4: 8 384.38583 cents 4: 4 431.22833 cents 5: 2 453.13038 cents 5: 1 468.85303 cents 5: 5 499.97288 cents 5: 2 515.69553 cents 5: 2 546.81538 cents 6: 6 584.44007 cents 6: 6 615.55993 cents 7: 2 653.18462 cents 7: 2 684.30447 cents 7: 5 700.02712 cents 7: 1 731.14697 cents 7: 2 746.86962 cents 8: 4 768.77167 cents 8: 8 815.61417 cents 9: 6 884.35871 cents 9: 3 900.08136 cents 9: 3 931.20121 cents 10: 4 968.82591 cents 10: 4 999.94576 cents 10: 2 1015.66841 cents 10: 2 1046.78826 cents 11: 1 1037.57045 cents 11: 1 1068.69031 cents 11: 4 1084.41295 cents 11: 2 1115.53281 cents 11: 4 1131.25545 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 3.63636 = 40/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 84.5 153.2 315.6 384.4 468.9 584.4 700.0 768.8 900.1 968.8 1084.4 1200.0 84.5 : 68.7 231.2 299.9 384.4 500.0 615.6 684.3 815.6 884.4 999.9 1115.5 1200.0 153.2 : 162.4 231.2 315.6 431.2 546.8 615.6 746.9 815.6 931.2 1046.8 1131.3 1200.0 315.6 : 68.7 153.2 268.8 384.4 453.1 584.4 653.2 768.8 884.4 968.8 1037.6 1200.0 384.4 : 84.5 200.1 315.6 384.4 515.7 584.4 700.0 815.6 900.1 968.8 1131.3 1200.0 468.9 : 115.6 231.2 299.9 431.2 500.0 615.6 731.1 815.6 884.4 1046.8 1115.5 1200.0 584.4 : 115.6 184.3 315.6 384.4 500.0 615.6 700.0 768.8 931.2 999.9 1084.4 1200.0 700.0 : 68.7 200.1 268.8 384.4 500.0 584.4 653.2 815.6 884.4 968.8 1084.4 1200.0 768.8 : 131.3 200.1 315.6 431.2 515.7 584.4 746.9 815.6 900.1 1015.7 1131.3 1200.0 900.1 : 68.7 184.3 299.9 384.4 453.1 615.6 684.3 768.8 884.4 999.9 1068.7 1200.0 968.8 : 115.6 231.2 315.6 384.4 546.8 615.6 700.0 815.6 931.2 999.9 1131.3 1200.0 1084.4: 115.6 200.1 268.8 431.2 500.0 584.4 700.0 815.6 884.4 1015.7 1084.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.7445 .. 162.4295 cents 93.68500 cents 68.74455 cents 2: 153.2117 .. 231.1741 cents 77.96235 cents -9.21781 cents 3: 268.7988 .. 315.6413 cents 46.84250 cents 37.62469 cents 4: 384.3858 .. 431.2283 cents 46.84250 cents 68.74455 cents 5: 453.1304 .. 546.8154 cents 93.68500 cents 21.90205 cents 6: 584.4401 .. 615.5599 cents 31.11985 cents 37.62469 cents 7: 653.1846 .. 746.8696 cents 93.68500 cents 37.62469 cents 8: 768.7717 .. 815.6142 cents 46.84250 cents 21.90205 cents 9: 884.3587 .. 931.2012 cents 46.84250 cents 68.74455 cents 10: 968.8259 .. 1046.7883 cents 77.96235 cents 37.62469 cents 11: 1037.5705 .. 1131.2555 cents 93.68500 cents -9.21781 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 68.74455 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 162.42955 cents Average / Smallest step : 1.454661 Largest / Average step : 1.624295 Largest / Smallest step : 2.362799 Median interval of one step : 100.02712 cents, amount: 0 Least squares average step : 98.29871 cents, oct.: 1179.58450 cents Scale is not proper Step pattern alph. order: ABCBADDBEBDD Step pattern size order : BAEABCCADACC Scale is a Constant Structure, by a margin of 9.21781 cents Scale diversity : 1.389194 Lumma stability : 0.391068 Lumma impropriety factor : 0.015363 Rothenberg efficiency : 0.362608 redundancy: 0.637392 Efficiency x scale size : 4.351299 Number of different interval sizes : 40 = 3.63636 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 3.63636 = 40/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 9.21781 cents Most common intervals : 384.38583 cents & inv., amount: 8 Most common triad is 0.0 384.386 815.614 cents, amount: 4 Number of recognisable fifths : 5, average 700.0271 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 8-9 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 22.9512 c. M:-46.7883 c. Twelve-tone Chromatic (1/11-comma) 15: 1 1 2 1 1 1 2 1 1 1 2 1 P B ME SD: 18.6461 c. M:-35.5870 c. Augene-12 16: 1 1 2 1 1 2 1 1 2 1 1 2 P B ME S SD: 16.4097 c. M: 34.4130 c. 17: 1 1 2 1 2 1 2 1 2 1 1 2 P D3 SD: 20.1985 c. M: 33.2883 c. 19: 1 1 3 1 1 2 2 1 2 1 2 2 N D3 SD: 16.2091 c. M: 26.8960 c. 20: 1 2 2 1 2 2 2 1 2 1 2 2 P D3 SD: 16.1872 c. M:-26.7883 c. 22: 2 1 3 1 2 2 2 1 3 1 2 2 P B D3 SD: 14.8446 c. M:-27.1914 c. 23: 2 1 3 1 2 2 2 2 2 2 2 2 P D3 SD: 14.0261 c. M:-22.4784 c. 25: 2 1 4 1 2 2 3 1 3 1 3 2 N SD: 12.3528 c. M:-20.3587 c. 28: 2 2 3 2 2 3 2 2 3 2 2 3 SP B ME S SD: 11.1591 c. M:-18.2168 c. Demolished-12 29: 2 2 4 1 2 3 3 2 3 1 3 3 N SD: 11.3090 c. M:-17.4352 c. 31: 2 2 4 2 2 3 3 2 3 2 3 3 P D3 SD: 4.7004 c. M: 9.7588 c. 41: 3 2 6 2 3 4 4 2 5 2 4 4 N SD: 4.5140 c. M: 7.7961 c. 53: 4 3 7 3 4 5 5 3 6 3 5 5 P SD: 4.0092 c. M:-6.6187 c. 69: 5 4 9 4 5 7 6 4 8 4 6 7 P SD: 3.9622 c. M:-6.8643 c. 72: 5 4 10 4 5 7 7 4 8 4 7 7 N SD: 1.5820 c. M: 3.2117 c. 103: 7 6 14 6 7 10 10 6 11 6 10 10 N SD: 1.7944 c. M: 2.9940 c. 125: 9 7 17 7 9 12 12 7 14 7 12 12 N SD: 1.1703 c. M:-2.3186 c. 156: 11 9 21 9 11 15 15 9 17 9 15 15 N SD: 0.3081 c. M:-0.6344 c. 228: 16 13 31 13 16 22 22 13 25 13 22 22 N SD: 0.2929 c. M: 0.5802 c. 384: 27 22 52 22 27 37 37 22 42 22 37 37 N SD: 0.0621 c. M: 0.1030 c. 924: 65 53 125 53 65 89 89 53 101 53 89 89 N SD: 0.0408 c. M: 0.0814 c. 1308: 92 75 177 75 92 126 126 75 143 75 126 126 N SD: 0.0396 c. M: 0.0814 c. 1692: 119 97 229 97 119 163 163 97 185 97 163 163 N SD: 0.0422 c. M: 0.0814 c. 1817: 128 104 246 104 128 175 175 104 199 104 175 175 N SD: 0.0415 c. M:-0.0837 c. 1973: 139 113 267 113 139 190 190 113 216 113 190 190 N SD: 0.0474 c. M:-0.0775 c. 2045: 144 117 277 117 144 197 197 117 224 117 197 197 N SD: 0.0394 c. M: 0.0675 c. 2201: 155 126 298 126 155 212 212 126 241 126 212 212 N SD: 0.0265 c. M:-0.0549 c. 2357: 166 135 319 135 166 227 227 135 258 135 227 227 N SD: 0.0297 c. M:-0.0481 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: 0.9639 cents 3 x x x x 4 x x x 5 x x 6 S SD: 11.0523 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.6816 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 13.2659 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 11.4384 cents 7 x 8 x x 9:10 x 11:12 x 13:14 S SD: 14.1079 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 10.6333 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 9.1070 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.6280 cents 11 x 12:13:14 x 15:16:17 x 19:21:22 SD: 10.3420 cents 12 x 13:14:15:16:17:18:19:20:21:22:24 S SD: 7.0360 cents 13 x 14 x 16:17:18:19:20:22:23:24:26 S SD: 7.1318 cents 14 x 15:17 x 18:20:21:22:24:25:26:28 SD: 8.0384 cents 15:16 x 18:19:20:21:22:23:25:26:28:30 SD: 6.3951 cents 16:17 x 19:20:21:22:24:25:27:28:30:32 SD: 3.9832 cents 18:19:20:22 x 24:25:27:28:30:32:34:36 SD: 5.9820 cents 19:20:21:23:24:25:27:28:30:32:33:36:38 SD: 5.0211 cents 20:21:22:24:25:26:28:30:31:34:35:37:40 SD: 2.8695 cents 32:34:35:38:40:42:45:48:50:54:56:60:64 SD: 2.4437 cents 40:42:44:48:50:52:56:60:62:67:70:75:80 SD: 1.9196 cents 44:46:48:53:55:58:62:66:69:74:77:82:88 SD: 1.7384 cents 45:47:49:54:56:59:63:67:70:76:79:84:90 SD: 1.6384 cents 55:58:60:66:69:72:77:82:86:93:96:103:110 SD: 1.5586 cents 60:63:66:72:75:79:84:90:94:101:105:112:120 SD: 1.4289 cents 64:67:70:77:80:84:90:96:100:108:112:120:128 SD: 1.0488 cents 80:84:87:96:100:105:112:120:125:135:140:150:160 SD: 0.9928 cents 84:88:92:101:105:110:118:126:131:141:147:157:168 SD: 0.7782 cents 100:105:109:120:125:131:140:150:156:168:175:187:200 SD: 0.4906 cents 141:148:154:169:176:185:198:211:220:237:247:264:282 SD: 0.4622 cents 161:169:176:193:201:211:226:241:251:271:282:301:322 SD: 0.3776 cents 216:227:236:259:270:283:303:324:337:363:378:404:432 SD: 0.3610 cents 225:236:246:270:281:295:315:337:351:378:394:421:450 SD: 0.3272 cents 241:253:263:289:301:316:338:361:376:405:422:451:482 SD: 0.2910 cents 261:274:285:313:326:342:366:391:407:439:457:488:522 SD: 0.2106 cents 379:398:414:455:473:497:531:568:591:637:663:709:758 SD: 0.1674 cents 399:419:436:479:498:523:559:598:622:671:698:746:798 SD: 0.1565 cents 456:479:498:547:569:598:639:683:711:767:798:853:912 SD: 0.1539 cents 496:521:542:595:619:650:695:743:773:834:868:928:992 SD: 0.1470 cents 520:546:568:624:649:682:729:779:811:875:910:973:1040 SD: 0.1351 cents 540:567:590:648:674:708:757:809:842:908:945:1010:1080 SD: 0.0838 cents