Scala analysis: centmarv
1/4-kleismic marvel tempered centaur/meandin
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: 200.054 cents 200.054240 3: 268.799 cents 268.798786 4: 384.386 cents 384.385833 5: 499.973 cents 499.972880 6: 584.440 cents 584.440073 7: 700.027 cents 700.027120 8: 768.772 cents 768.771666 9: 884.359 cents 884.358713 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: 115.5870 cents 115.5870 3: 68.7445 cents 68.7445 4: 115.5870 cents 115.5870 5: 115.5870 cents 115.5870 6: 84.4672 cents 84.4672 7: 115.5870 cents 115.5870 8: 68.7445 cents 68.7445 9: 115.5870 cents 115.5870 10: 84.4672 cents 84.4672 11: 115.5870 cents 115.5870 12: 115.5870 cents 115.5870
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 68.74455 cents 1: 3 84.46719 cents 1: 7 115.58705 cents 2: 4 184.33159 cents 2: 6 200.05424 cents 2: 2 231.17409 cents 3: 3 268.79879 cents 3: 3 299.91864 cents 3: 6 315.64129 cents 4: 7 384.38583 cents 4: 1 400.10848 cents 4: 1 415.50569 cents 4: 3 431.22833 cents 5: 1 468.85303 cents 5: 9 499.97288 cents 5: 2 515.69553 cents 6: 1 568.71743 cents 6: 5 584.44007 cents 6: 5 615.55993 cents 6: 1 631.28257 cents 7: 2 684.30447 cents 7: 9 700.02712 cents 7: 1 731.14697 cents 8: 3 768.77167 cents 8: 1 784.49431 cents 8: 1 799.89152 cents 8: 7 815.61417 cents 9: 6 884.35871 cents 9: 3 900.08136 cents 9: 3 931.20121 cents 10: 2 968.82591 cents 10: 6 999.94576 cents 10: 4 1015.66841 cents 11: 7 1084.41295 cents 11: 3 1115.53281 cents 11: 2 1131.25545 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 : 84.5 200.1 268.8 384.4 500.0 584.4 700.0 768.8 884.4 968.8 1084.4 1200.0 84.5 : 115.6 184.3 299.9 415.5 500.0 615.6 684.3 799.9 884.4 999.9 1115.5 1200.0 200.1 : 68.7 184.3 299.9 384.4 500.0 568.7 684.3 768.8 884.4 999.9 1084.4 1200.0 268.8 : 115.6 231.2 315.6 431.2 500.0 615.6 700.0 815.6 931.2 1015.7 1131.3 1200.0 384.4 : 115.6 200.1 315.6 384.4 500.0 584.4 700.0 815.6 900.1 1015.7 1084.4 1200.0 500.0 : 84.5 200.1 268.8 384.4 468.9 584.4 700.0 784.5 900.1 968.8 1084.4 1200.0 584.4 : 115.6 184.3 299.9 384.4 500.0 615.6 700.0 815.6 884.4 999.9 1115.5 1200.0 700.0 : 68.7 184.3 268.8 384.4 500.0 584.4 700.0 768.8 884.4 999.9 1084.4 1200.0 768.8 : 115.6 200.1 315.6 431.2 515.7 631.3 700.0 815.6 931.2 1015.7 1131.3 1200.0 884.4 : 84.5 200.1 315.6 400.1 515.7 584.4 700.0 815.6 900.1 1015.7 1084.4 1200.0 968.8 : 115.6 231.2 315.6 431.2 500.0 615.6 731.1 815.6 931.2 999.9 1115.5 1200.0 1084.4: 115.6 200.1 315.6 384.4 500.0 615.6 700.0 815.6 884.4 999.9 1084.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.7445 .. 115.5870 cents 46.84250 cents 68.74455 cents 2: 184.3316 .. 231.1741 cents 46.84250 cents 68.74455 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: 468.8530 .. 515.6955 cents 46.84250 cents 37.62469 cents 6: 568.7174 .. 631.2826 cents 62.56515 cents 53.02190 cents 7: 684.3045 .. 731.1470 cents 46.84250 cents 53.02190 cents 8: 768.7717 .. 815.6142 cents 46.84250 cents 37.62469 cents 9: 884.3587 .. 931.2012 cents 46.84250 cents 68.74455 cents 10: 968.8259 .. 1015.6684 cents 46.84250 cents 37.62469 cents 11: 1084.4130 .. 1131.2555 cents 46.84250 cents 68.74455 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 : 115.58705 cents Average / Smallest step : 1.454661 Largest / Average step : 1.155870 Largest / Smallest step : 1.681400 Median interval of one step : 115.58705 cents, amount: 7 Most common interval of one step : 115.58705 cents, amount: 7 Least squares average step : 98.24833 cents, oct.: 1178.97994 cents Scale is strictly proper Step pattern alph. order: ABCBBABCBABB Step pattern size order : MLSLLMLSLMLL Scale is a Constant Structure, by a margin of 37.62469 cents Scale diversity : 1.334285 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.557508 Rothenberg efficiency : 0.416997 redundancy: 0.583003 Efficiency x scale size : 5.003968 Number of different interval sizes : 36 = 3.27273 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.27273 = 36/11 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 15.39721 cents Most common intervals : 499.97288 cents & inv., amount: 9 Most common triad is 0.0 499.973 700.027 cents, amount: 6 Number of recognisable fifths : 9, average 700.0271 cents Best fifths form a closed circle Formal octave complements present : 3 = 25.0000% Limited inverse transpositions with margin 46.8425 cents: 3 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 18.5637 c. M:-31.2283 c. Twelve-tone Chromatic (1/11-comma) 19: 1 2 1 2 2 1 2 1 2 1 2 2 P M ME SD: 12.4614 c. M: 21.4575 c. Mandelbaum Twelve out of 19 22: 2 2 1 2 2 2 2 1 2 2 2 2 P D3 S SD: 12.0279 c. M:-24.6237 c. 24: 2 2 1 3 2 2 2 1 3 1 3 2 P T3 SD: 13.7689 c. M: 18.8259 c. 26: 2 2 2 2 3 2 2 2 2 2 2 3 SP D3 S SD: 12.2015 c. M: 22.8745 c. 27: 2 3 1 3 2 2 3 1 3 2 2 3 P SD: 11.6893 c. M:-22.1680 c. 28: 2 3 1 3 3 2 2 2 3 2 2 3 P D3 SD: 11.8991 c. M:-16.8884 c. 31: 2 3 2 3 3 2 3 2 3 2 3 3 SP M ME SD: 4.1438 c. M: 7.0478 c. 41: 3 4 2 4 4 3 4 2 4 3 4 4 SP SD: 4.1102 c. M: 7.7961 c. 53: 4 5 3 5 5 4 5 3 5 4 5 5 SP SD: 3.1062 c. M:-6.0988 c. 72: 5 7 4 7 7 5 7 4 7 5 7 7 SP SD: 1.2741 c. M: 2.1592 c. 125: 9 12 7 12 12 9 12 7 12 9 12 12 SP SD: 0.9790 c. M:-1.9328 c. 156: 11 15 9 15 15 11 15 9 15 11 15 15 SP SD: 0.2546 c. M:-0.4591 c. 228: 16 22 13 22 22 16 22 13 22 16 22 22 SP SD: 0.2321 c. M: 0.4049 c. 384: 27 37 22 37 37 27 37 22 37 27 37 37 SP SD: 0.0479 c. M: 0.0922 c. 924: 65 89 53 89 89 65 89 53 89 65 89 89 SP SD: 0.0370 c. M:-0.0595 c. 1308: 92 126 75 126 126 92 126 75 126 92 126 126 SP SD: 0.0340 c. M: 0.0635 c. 1692: 119 163 97 163 163 119 163 97 163 119 163 163 SP SD: 0.0348 c. M: 0.0700 c. 1973: 139 190 113 190 190 139 190 113 190 139 190 190 SP SD: 0.0370 c. M:-0.0741 c. 2045: 144 197 117 197 197 144 197 117 197 144 197 197 SP SD: 0.0360 c. M: 0.0675 c. 2201: 155 212 126 212 212 155 212 126 212 155 212 212 SP SD: 0.0233 c. M:-0.0398 c. 2357: 166 227 135 227 227 166 227 135 227 166 227 227 SP SD: 0.0232 c. M:-0.0470 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: 0.6426 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: 16.2405 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 5.8681 cents 7 x 8 x 9 x 10 x 11 x 12:13:14 S SD: 11.2984 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 6.9095 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 8.1951 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 10.8686 cents 11 x 12:13:14:15 x 16:17:18:19:21:22 SD: 10.4586 cents 12:13 x 14:15:16:17:18:19:20:21:22:24 S SD: 6.5762 cents 13:14 x 15:16:17:18:19:20:22:23:24:26 S SD: 8.4590 cents 14:15:16 x 17:19:20:21:22:23:25:26:28 SD: 8.4474 cents 15:16:17:18:19:20:21:22:23:25:26:28:30 SD: 6.6268 cents 16:17:18:19:20:21:22:24:25:27:28:30:32 SD: 5.0745 cents 18:19:20:21:22:24:25:27:28:30:32:34:36 SD: 4.6064 cents 23:24:26:27:29:31:32:34:36:38:40:43:46 SD: 3.7367 cents 24:25:27:28:30:32:34:36:37:40:42:45:48 SD: 2.5753 cents 36:38:40:42:45:48:50:54:56:60:63:67:72 SD: 2.2871 cents 40:42:45:47:50:53:56:60:62:67:70:75:80 SD: 1.8406 cents 48:50:54:56:60:64:67:72:75:80:84:90:96 SD: 1.4434 cents 57:60:64:67:71:76:80:85:89:95:100:107:114 SD: 1.4329 cents 60:63:67:70:75:80:84:90:94:100:105:112:120 SD: 1.1378 cents 72:76:81:84:90:96:101:108:112:120:126:135:144 SD: 1.0041 cents 84:88:94:98:105:112:118:126:131:140:147:157:168 SD: 0.7329 cents 117:123:131:137:146:156:164:175:182:195:205:219:234 SD: 0.7316 cents 120:126:135:140:150:160:168:180:187:200:210:224:240 SD: 0.5828 cents 132:139:148:154:165:176:185:198:206:220:231:247:264 SD: 0.5707 cents 137:144:154:160:171:183:192:205:214:228:240:256:274 SD: 0.5368 cents 156:164:175:182:195:208:219:234:243:260:273:292:312 SD: 0.4674 cents 161:169:181:188:201:215:226:241:251:268:282:301:322 SD: 0.4281 cents 177:186:199:207:221:236:248:265:276:295:310:331:354 SD: 0.4003 cents 197:207:221:230:246:263:276:295:307:328:345:369:394 SD: 0.3145 cents 245:257:275:286:306:327:343:367:382:408:429:458:490 SD: 0.2970 cents 261:274:293:305:326:348:366:391:407:435:457:488:522 SD: 0.2363 cents 317:333:356:370:396:423:444:475:494:528:555:593:634 SD: 0.2253 cents 341:358:383:398:426:455:478:511:532:568:597:638:682 SD: 0.2205 cents 358:376:402:418:447:478:502:536:558:597:627:670:716 SD: 0.2194 cents 359:377:403:419:448:479:503:538:560:598:628:672:718 SD: 0.2159 cents 381:400:428:445:476:509:534:571:594:635:667:713:762 SD: 0.2024 cents 399:419:448:466:498:533:559:598:622:665:698:746:798 SD: 0.1814 cents 440:462:494:514:549:587:617:659:686:733:770:823:880 SD: 0.1791 cents 441:463:495:515:551:589:618:661:688:735:772:825:882 SD: 0.1787 cents 458:481:514:535:572:611:642:686:714:763:802:857:916 SD: 0.1603 cents 463:486:520:541:578:618:649:694:722:772:810:866:926 SD: 0.1560 cents 483:507:542:564:603:645:677:724:753:805:845:904:966 SD: 0.1368 cents 540:567:606:631:674:721:757:809:842:900:945:1010:1080 SD: 0.1150 cents