Scala analysis: marveldene
BlueJI in 197et (= Duodene, etc, in 197et)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.736 cents 115.736040 2: 201.015 cents 201.015230 3: 316.751 cents 316.751270 4: 383.756 cents 383.756350 5: 499.492 cents 499.492390 6: 584.772 cents 584.771570 7: 700.508 cents 700.507610 8: 816.244 cents 816.243650 9: 883.249 cents 883.248730 10: 1017.259 cents 1017.258880 11: 1084.264 cents 1084.263960 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.7360 cents 115.7360 1: 115.7360 cents 115.7360 2: 85.2792 cents 85.2792 3: 115.7360 cents 115.7360 4: 67.0051 cents 67.0051 5: 115.7360 cents 115.7360 6: 85.2792 cents 85.2792 7: 115.7360 cents 115.7360 8: 115.7360 cents 115.7360 9: 67.0051 cents 67.0051 10: 134.0101 cents 134.0101 11: 67.0051 cents 67.0051 12: 115.7360 cents 115.7360
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 67.00508 cents 1: 2 85.27919 cents 1: 6 115.73604 cents 1: 1 134.01015 cents 2: 4 182.74112 cents 2: 6 201.01523 cents 2: 2 231.47208 cents 3: 3 268.02031 cents 3: 3 298.47716 cents 3: 6 316.75127 cents 4: 8 383.75635 cents 4: 4 432.48730 cents 5: 1 469.03553 cents 5: 9 499.49239 cents 5: 2 517.76649 cents 6: 2 566.49746 cents 6: 4 584.77157 cents 6: 4 615.22842 cents 6: 2 633.50253 cents 7: 2 682.23350 cents 7: 9 700.50761 cents 7: 1 730.96447 cents 8: 4 767.51269 cents 8: 8 816.24365 cents 9: 6 883.24873 cents 9: 3 901.52284 cents 9: 3 931.97969 cents 10: 2 968.52792 cents 10: 6 998.98477 cents 10: 4 1017.25888 cents 11: 1 1065.98985 cents 11: 6 1084.26396 cents 11: 2 1114.72081 cents 11: 3 1132.99492 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 : 115.7 201.0 316.8 383.8 499.5 584.8 700.5 816.2 883.2 1017.3 1084.3 1200.0 115.7 : 85.3 201.0 268.0 383.8 469.0 584.8 700.5 767.5 901.5 968.5 1084.3 1200.0 201.0 : 115.7 182.7 298.5 383.8 499.5 615.2 682.2 816.2 883.2 999.0 1114.7 1200.0 316.8 : 67.0 182.7 268.0 383.8 499.5 566.5 700.5 767.5 883.2 999.0 1084.3 1200.0 383.8 : 115.7 201.0 316.8 432.5 499.5 633.5 700.5 816.2 932.0 1017.3 1133.0 1200.0 499.5 : 85.3 201.0 316.8 383.8 517.8 584.8 700.5 816.2 901.5 1017.3 1084.3 1200.0 584.8 : 115.7 231.5 298.5 432.5 499.5 615.2 731.0 816.2 932.0 999.0 1114.7 1200.0 700.5 : 115.7 182.7 316.8 383.8 499.5 615.2 700.5 816.2 883.2 999.0 1084.3 1200.0 816.2 : 67.0 201.0 268.0 383.8 499.5 584.8 700.5 767.5 883.2 968.5 1084.3 1200.0 883.2 : 134.0 201.0 316.8 432.5 517.8 633.5 700.5 816.2 901.5 1017.3 1133.0 1200.0 1017.3: 67.0 182.7 298.5 383.8 499.5 566.5 682.2 767.5 883.2 999.0 1066.0 1200.0 1084.3: 115.7 231.5 316.8 432.5 499.5 615.2 700.5 816.2 932.0 999.0 1133.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 67.0051 .. 134.0101 cents 67.00507 cents 67.00508 cents 2: 182.7411 .. 231.4721 cents 48.73096 cents 48.73097 cents 3: 268.0203 .. 316.7513 cents 48.73096 cents 36.54823 cents 4: 383.7564 .. 432.4873 cents 48.73095 cents 67.00508 cents 5: 469.0355 .. 517.7665 cents 48.73096 cents 36.54823 cents 6: 566.4975 .. 633.5025 cents 67.00507 cents 48.73097 cents 7: 682.2335 .. 730.9645 cents 48.73097 cents 48.73097 cents 8: 767.5127 .. 816.2436 cents 48.73096 cents 36.54822 cents 9: 883.2487 .. 931.9797 cents 48.73096 cents 67.00508 cents 10: 968.5279 .. 1017.2589 cents 48.73096 cents 36.54823 cents 11: 1065.9898 .. 1132.9949 cents 67.00507 cents 48.73097 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 67.00508 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 134.01015 cents Average / Smallest step : 1.492424 Largest / Average step : 1.340101 Largest / Smallest step : 2.000000 Median interval of one step : 115.73604 cents, amount: 6 Most common interval of one step : 115.73604 cents, amount: 6 Least squares average step : 99.83288 cents, oct.: 1197.99453 cents Scale is strictly proper Scale is a mode of a 197-tone equal temperament with octave 1200.000 cents degrees: 19 33 52 63 82 96 115 134 145 167 178 197 Least number of segments generator : 99 of 603.046 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 145 of 883.249 cents and inv. generated superset size: 29 = 17 more = 241.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACABAACDCA Step pattern size order : CBCACBCCADAC Interval vector is [ 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 0 0 0 6 0 0 1 0 0 0 0 0 0 0 4 0 0 6 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0 3 0 0 6 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 4 0 0 0 0 0 1 0 0 0 0 9 0 0 2 0 0 0 0 0 0 0 2 0 0 4 0 0 ] Scale is a Constant Structure, by a margin of 36.54822 cents Scale diversity : 1.353072 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.507614 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 : 18.27410 cents Most common intervals : 499.49239 cents & inv., amount: 9 Most common triad is 0.0 499.492 700.508 cents, amount: 6 Number of recognisable fifths : 9, average 700.5076 cents Best fifths form a closed circle Formal octave complements present : 9 = 75.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 13.2775 c. M: 17.2589 c. Twelve-tone Chromatic (1/11-comma) 19: 2 1 2 1 2 1 2 2 1 2 1 2 P M ME SD: 8.0852 c. M: 16.3505 c. Genus diatonico-chromaticum, Yasser's Supradiatonic inverse 31: 3 2 3 2 3 2 3 3 2 3 2 3 SP M ME SD: 5.3242 c. M: 10.8073 c. Genus diatonico-chromaticum 41: 4 3 4 2 4 3 4 4 2 5 2 4 SP SD: 3.5662 c. M:-7.1314 c. 53: 5 4 5 3 5 4 5 5 3 6 3 5 SP SD: 1.9323 c. M:-3.9077 c. Genus diatonico-chromaticum 72: 7 5 7 4 7 5 7 7 4 8 4 7 SP SD: 0.7112 c. M: 1.4382 c. Genus diatonico-chromaticum 125: 12 9 12 7 12 9 12 12 7 14 7 12 SP SD: 0.4096 c. M:-0.8284 c. 197: 19 14 19 11 19 14 19 19 11 22 11 19 SP SD: 0.0000 c. M: 0.0000 c. BlueJI
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: 0.7237 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.6080 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 12.1305 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 0.7209 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 9.8941 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 13.0927 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 7.9919 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 9.5205 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.3077 cents 11:12 x 13:14:15 x 16 x 18:20:21:22 S SD: 10.9422 cents 12:13 x 14:15:16:17:18:19:20:22 x 24 S SD: 6.9371 cents 13:14:15 x 16:17:18:19:21:22:23:24:26 SD: 8.5567 cents 14:15:16:17 x 19:20:21:22:23:25:26:28 SD: 6.5984 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 4.0350 cents 18:19:20:22 x 24:25:27:29:30:32:34:36 SD: 4.8598 cents 20:21:22:24:25:27:28:30:32:33:36:37:40 SD: 4.8116 cents 24:26:27:29:30:32:34:36:38:40:43:45:48 SD: 3.2226 cents 30:32:34:36:37:40:42:45:48:50:54:56:60 SD: 2.2384 cents 40:43:45:48:50:53:56:60:64:67:72:75:80 SD: 1.6287 cents 56:60:63:67:70:75:79:84:90:93:101:105:112 SD: 1.4711 cents 60:64:67:72:75:80:84:90:96:100:108:112:120 SD: 1.0350 cents 84:90:94:101:105:112:118:126:135:140:151:157:168 SD: 0.8990 cents 90:96:101:108:112:120:126:135:144:150:162:168:180 SD: 0.7297 cents 105:112:118:126:131:140:147:157:168:175:189:196:210 SD: 0.6679 cents 114:122:128:137:142:152:160:171:183:190:205:213:228 SD: 0.5476 cents 129:138:145:155:161:172:181:193:207:215:232:241:258 SD: 0.4703 cents 161:172:181:193:201:215:226:241:258:268:290:301:322 SD: 0.4512 cents 170:182:191:204:212:227:238:255:272:283:306:318:340 SD: 0.4198 cents 185:198:208:222:231:247:259:277:296:308:333:346:370 SD: 0.4131 cents 186:199:209:223:232:248:261:279:298:310:335:348:372 SD: 0.3822 cents 189:202:212:227:236:252:265:283:303:315:340:354:378 SD: 0.3522 cents 204:218:229:245:255:272:286:306:327:340:367:382:408 SD: 0.3468 cents 218:233:245:262:272:291:306:327:349:363:392:408:436 SD: 0.3461 cents 219:234:246:263:273:292:307:328:351:365:394:410:438 SD: 0.3013 cents 234:250:263:281:292:312:328:351:375:390:421:438:468 SD: 0.2645 cents 269:288:302:323:336:359:377:403:431:448:484:503:538 SD: 0.2547 cents 299:320:336:359:373:399:419:448:479:498:538:559:598 SD: 0.2179 cents 319:341:358:383:398:426:447:478:511:531:574:597:638 SD: 0.2148 cents 334:357:375:401:417:446:468:501:535:556:601:625:668 SD: 0.2121 cents 349:373:392:419:436:466:489:523:559:581:628:653:698 SD: 0.2067 cents 359:384:403:431:448:479:503:538:575:598:646:672:718 SD: 0.1732 cents 448:479:503:538:559:598:628:671:718:746:806:838:896 SD: 0.1377 cents 463:495:520:556:578:618:649:694:742:771:833:866:926 SD: 0.0773 cents