Scala analysis: dwarf12marv
Marvelous dwarf: 1/4 kleismic tempered duodene
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 131.310 cents 131.309694 2: 200.054 cents 200.054240 3: 315.641 cents 315.641287 4: 431.228 cents 431.228334 5: 515.696 cents 515.695527 6: 631.283 cents 631.282574 7: 700.027 cents 700.027120 8: 815.614 cents 815.614167 9: 900.081 cents 900.081360 10: 1015.668 cents 1015.668407 11: 1131.255 cents 1131.255454 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 68.7445 cents 68.7445 1: 131.3097 cents 131.3097 2: 68.7445 cents 68.7445 3: 115.5870 cents 115.5870 4: 115.5870 cents 115.5870 5: 84.4672 cents 84.4672 6: 115.5870 cents 115.5870 7: 68.7445 cents 68.7445 8: 115.5870 cents 115.5870 9: 84.4672 cents 84.4672 10: 115.5870 cents 115.5870 11: 115.5870 cents 115.5870 12: 68.7445 cents 68.7445
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 68.74455 cents 1: 2 84.46719 cents 1: 6 115.58705 cents 1: 1 131.30969 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: 8 384.38583 cents 4: 4 431.22833 cents 5: 1 468.85303 cents 5: 9 499.97288 cents 5: 2 515.69553 cents 6: 2 568.71743 cents 6: 4 584.44007 cents 6: 4 615.55993 cents 6: 2 631.28257 cents 7: 2 684.30447 cents 7: 9 700.02712 cents 7: 1 731.14697 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: 2 968.82591 cents 10: 6 999.94576 cents 10: 4 1015.66841 cents 11: 1 1068.69031 cents 11: 6 1084.41295 cents 11: 2 1115.53281 cents 11: 3 1131.25545 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.09091 = 34/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 131.3 200.1 315.6 431.2 515.7 631.3 700.0 815.6 900.1 1015.7 1131.3 1200.0 131.3 : 68.7 184.3 299.9 384.4 500.0 568.7 684.3 768.8 884.4 999.9 1068.7 1200.0 200.1 : 115.6 231.2 315.6 431.2 500.0 615.6 700.0 815.6 931.2 999.9 1131.3 1200.0 315.6 : 115.6 200.1 315.6 384.4 500.0 584.4 700.0 815.6 884.4 1015.7 1084.4 1200.0 431.2 : 84.5 200.1 268.8 384.4 468.9 584.4 700.0 768.8 900.1 968.8 1084.4 1200.0 515.7 : 115.6 184.3 299.9 384.4 500.0 615.6 684.3 815.6 884.4 999.9 1115.5 1200.0 631.3 : 68.7 184.3 268.8 384.4 500.0 568.7 700.0 768.8 884.4 999.9 1084.4 1200.0 700.0 : 115.6 200.1 315.6 431.2 500.0 631.3 700.0 815.6 931.2 1015.7 1131.3 1200.0 815.6 : 84.5 200.1 315.6 384.4 515.7 584.4 700.0 815.6 900.1 1015.7 1084.4 1200.0 900.1 : 115.6 231.2 299.9 431.2 500.0 615.6 731.1 815.6 931.2 999.9 1115.5 1200.0 1015.7: 115.6 184.3 315.6 384.4 500.0 615.6 700.0 815.6 884.4 999.9 1084.4 1200.0 1131.3: 68.7 200.1 268.8 384.4 500.0 584.4 700.0 768.8 884.4 968.8 1084.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.7445 .. 131.3097 cents 62.56515 cents 68.74455 cents 2: 184.3316 .. 231.1741 cents 46.84250 cents 53.02190 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: 1068.6903 .. 1131.2555 cents 62.56515 cents 53.02190 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 : 131.30969 cents Average / Smallest step : 1.454661 Largest / Average step : 1.313097 Largest / Smallest step : 1.910111 Median interval of one step : 115.58705 cents, amount: 6 Most common interval of one step : 115.58705 cents, amount: 6 Least squares average step : 101.68578 cents, oct.: 1220.22938 cents Scale is strictly proper Step pattern alph. order: ABCCDCBCDCCB Step pattern size order : DACCBCACBCCA Scale is a Constant Structure, by a margin of 37.62469 cents Scale diversity : 1.337446 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.531304 Rothenberg efficiency : 0.439743 redundancy: 0.560257 Efficiency x scale size : 5.276912 Number of different interval sizes : 34 = 3.09091 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.09091 = 34/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 15.72265 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 : 1 = 8.3333% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 6-7 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 20.1894 c. M: 31.3097 c. Twelve-tone Chromatic (1/11-comma) 16: 2 1 1 2 1 1 1 2 1 2 1 1 P D3 SD: 19.5065 c. M:-34.3316 c. 17: 2 1 1 2 1 2 1 1 2 1 2 1 P M ME SD: 19.3963 c. M: 39.1436 c. 19: 2 1 2 2 1 2 1 2 1 2 2 1 P M ME SD: 7.8062 c. M: 15.8708 c. 31: 3 2 3 3 2 3 2 3 2 3 3 2 SP M ME SD: 8.7028 c. M: 15.1807 c. 35: 4 2 3 4 2 3 2 4 2 4 3 2 P SD: 9.2489 c. M:-14.4860 c. 36: 4 2 3 4 2 4 2 3 3 3 4 2 SP T3 SD: 9.1167 c. M: 15.6955 c. 37: 4 2 4 3 3 3 3 3 3 3 4 2 SP D3 SD: 8.3023 c. M: 15.0664 c. 38: 4 2 4 4 2 4 2 4 3 3 4 2 P D3 S SD: 7.7787 c. M:-15.7081 c. 44: 5 2 5 4 3 4 3 4 3 4 4 3 SP SD: 7.0477 c. M: 13.0736 c. 46: 5 3 4 5 3 4 3 4 4 4 4 3 SP SD: 7.2102 c. M:-12.9621 c. 47: 5 3 4 5 3 5 2 5 3 5 4 3 SP SD: 6.1238 c. M: 10.6654 c. 48: 5 3 5 4 4 4 3 5 3 5 4 3 SP T3 SD: 6.4971 c. M:-9.3858 c. 52: 6 3 5 5 3 5 3 5 4 5 5 3 SP SD: 6.2660 c. M: 8.2057 c. 53: 6 3 5 5 4 5 3 5 4 5 5 3 SP SD: 3.1072 c. M:-5.5790 c. 72: 8 4 7 7 5 7 4 7 5 7 7 4 SP SD: 1.3279 c. M:-2.1050 c. 137: 15 8 13 13 10 13 8 13 10 13 13 8 SP SD: 1.1431 c. M:-2.1084 c. 156: 17 9 15 15 11 15 9 15 11 15 15 9 SP SD: 0.3303 c. M: 0.5405 c. 228: 25 13 22 22 16 22 13 22 16 22 22 13 SP SD: 0.1988 c. M:-0.3506 c. 384: 42 22 37 37 27 37 22 37 27 37 37 22 SP SD: 0.0435 c. M: 0.0814 c. 1764: 193 101 170 170 124 170 101 170 124 170 170 101 SP SD: 0.0410 c. M: 0.0814 c. 1973: 216 113 190 190 139 190 113 190 139 190 190 113 SP SD: 0.0415 c. M:-0.0707 c. 2129: 233 122 205 205 150 205 122 205 150 205 205 122 SP SD: 0.0292 c. M:-0.0596 c. 2357: 258 135 227 227 166 227 135 227 166 227 227 135 SP SD: 0.0278 c. M:-0.0459 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: 7.8792 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 16.2313 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 9.7693 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.6410 cents 7 x 8 x 9 x 10 x 11:12:13 x 14 S SD: 11.5198 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 11.1577 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 8.4431 cents 10:11 x 12:13 x 14:15:16:17:18:19:20 S SD: 6.9283 cents 11:12 x 13:14:15:16 x 18:19:20:21:22 S SD: 7.7598 cents 12:13 x 14:15:16:17:18:19:20:22:23:24 S SD: 7.8060 cents 13:14:15:16:17:18:19 x 21:22:23:25:26 SD: 8.7907 cents 14:15:16:17:18:19:20:21:22:24:25:27:28 SD: 5.4456 cents 15:16:17:18:19:20:22 x 24:25:27:29:30 SD: 4.8273 cents 19 x 21:23:24:26:27:28:30:32:34:37:38 SD: 6.4033 cents 20:22 x 24:26:27:29:30:32:34:36:38:40 SD: 4.6176 cents 23:25:26:28:30:31:33:34:37:39:41:44:46 SD: 4.4850 cents 24:26:27:29:31:32:35:36:38:40:43:46:48 SD: 3.5917 cents 25:27:28:30:32:34:36:37:40:42:45:48:50 SD: 2.3260 cents 38:41:43:46:49:51:55:57:61:64:68:73:76 SD: 2.2247 cents 40:43:45:48:51:54:58:60:64:67:72:77:80 SD: 1.6491 cents 50:54:56:60:64:67:72:75:80:84:90:96:100 SD: 0.9622 cents 75:81:84:90:96:101:108:112:120:126:135:144:150 SD: 0.7544 cents 100:108:112:120:128:135:144:150:160:168:180:192:200 SD: 0.6816 cents 113:122:127:136:145:152:163:169:181:190:203:217:226 SD: 0.6585 cents 116:125:130:139:149:156:167:174:186:195:209:223:232 SD: 0.5961 cents 130:140:146:156:167:175:187:195:208:219:234:250:260 SD: 0.5266 cents 138:149:155:166:177:186:199:207:221:232:248:265:276 SD: 0.4987 cents 141:152:158:169:181:190:203:211:226:237:254:271:282 SD: 0.4891 cents 155:167:174:186:199:209:223:232:248:261:279:298:310 SD: 0.4367 cents 179:193:201:215:230:241:258:268:287:301:322:344:358 SD: 0.3759 cents 204:220:229:245:262:275:294:306:327:343:367:392:408 SD: 0.3416 cents 205:221:230:246:263:276:295:307:328:345:369:394:410 SD: 0.3083 cents 254:274:285:305:326:342:366:381:407:427:457:488:508 SD: 0.2759 cents 279:301:313:335:358:376:402:418:447:469:502:536:558 SD: 0.2255 cents 343:370:385:412:440:462:494:514:549:577:617:659:686 SD: 0.2050 cents 395:426:443:474:507:532:569:592:633:664:710:759:790 SD: 0.2049 cents 406:438:456:487:521:547:585:608:650:683:730:780:812 SD: 0.1970 cents 409:441:459:491:525:551:589:613:655:688:735:786:818 SD: 0.1661 cents 455:491:511:546:584:613:655:682:729:765:818:875:910 SD: 0.1659 cents 459:495:515:551:589:618:661:688:735:772:825:882:918 SD: 0.1556 cents 484:522:543:581:621:652:697:725:775:814:870:930:968 SD: 0.1352 cents 530:572:595:636:680:714:763:794:849:891:953:1019:1060 SD: 0.1100 cents