Scala analysis: xen06-vyshnegradski-nonoctave-1
Non-octave scale based on the subminor ninth
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 350.000 cents 350.000000 3: 550.000 cents 550.000000 4: 650.000 cents 650.000000 5: 800.000 cents 800.000000 6: 950.000 cents 950.000000 7: 1100.000 cents 1100.000000 8: 1250.000 cents 1250.000000
SHOW/INTERVAL
0: 150.0000 cents 150.0000 1: 200.0000 cents 200.0000 2: 150.0000 cents 150.0000 3: 200.0000 cents 200.0000 4: 100.0000 cents 100.0000 5: 150.0000 cents 150.0000 6: 150.0000 cents 150.0000 7: 150.0000 cents 150.0000 8: 150.0000 cents 150.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 5 150.00000 cents 1: 2 200.00000 cents 2: 1 250.00000 cents 2: 4 300.00000 cents 2: 3 350.00000 cents 3: 1 400.00000 cents 3: 4 450.00000 cents 3: 2 500.00000 cents 3: 1 550.00000 cents 4: 1 550.00000 cents 4: 3 600.00000 cents 4: 3 650.00000 cents 4: 1 700.00000 cents 5: 1 700.00000 cents 5: 2 750.00000 cents 5: 4 800.00000 cents 5: 1 850.00000 cents 6: 3 900.00000 cents 6: 4 950.00000 cents 6: 1 1000.00000 cents 7: 2 1050.00000 cents 7: 5 1100.00000 cents 7: 1 1150.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.42857 = 24/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 200.0 350.0 550.0 650.0 800.0 950.0 1100.0 1250.0 200.0 : 150.0 350.0 450.0 600.0 750.0 900.0 1050.0 1250.0 350.0 : 200.0 300.0 450.0 600.0 750.0 900.0 1100.0 1250.0 550.0 : 100.0 250.0 400.0 550.0 700.0 900.0 1050.0 1250.0 650.0 : 150.0 300.0 450.0 600.0 800.0 950.0 1150.0 1250.0 800.0 : 150.0 300.0 450.0 650.0 800.0 1000.0 1100.0 1250.0 950.0 : 150.0 300.0 500.0 650.0 850.0 950.0 1100.0 1250.0 1100.0: 150.0 350.0 500.0 700.0 800.0 950.0 1100.0 1250.0 1250.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 200.0000 cents 100.00000 cents 100.00000 cents 2: 250.0000 .. 350.0000 cents 100.00000 cents 50.00000 cents 3: 400.0000 .. 550.0000 cents 150.00000 cents 50.00000 cents 4: 550.0000 .. 700.0000 cents 150.00000 cents 1/1, 0.0000 cents 5: 700.0000 .. 850.0000 cents 150.00000 cents 1/1, 0.0000 cents 6: 900.0000 .. 1000.0000 cents 100.00000 cents 50.00000 cents 7: 1050.0000 .. 1150.0000 cents 100.00000 cents 50.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 156.2500 cents Largest one step interval : 200.00000 cents Average / Smallest step : 1.562500 Largest / Average step : 1.280000 Largest / Smallest step : 2.000000 Median interval of one step : 150.00000 cents, amount: 5 Most common interval of one step : 150.00000 cents, amount: 5 Least squares average step : 159.55882 cents, oct.: 1276.47059 cents Scale is proper Scale is a mode of a 25-tone equal temperament with octave 1250.000 cents degrees: 4 7 11 13 16 19 22 25 Least number of segments generator : 14 of 700.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 22 of 1100.000 cents and inv. generated superset size: 14 = 6 more = 175.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACBBBB Step pattern size order : LMLSMMMM Interval vector is [ 0 1 5 2 1 4 3 1 4 2 2 3 ] Scale is not a Constant Structure Scale diversity : 1.396536 Rothenberg stability : 0.928571 = 13/14 Lumma stability : 0.320000 Rothenberg efficiency : 0.453571 redundancy: 0.546429 Efficiency x scale size : 3.628571 Number of different interval sizes : 22 = 3.14286 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.42857 = 24/7 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 50.00000 cents Most common intervals : 150.00000 cents & inv., amount: 5 Most common triad is 0.0 150.000 1100.000 cents, amount: 3 Number of recognisable fifths : 2, average 700.0000 cents Number of recognisable fourths : 2, average 500.0000 cents Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 2 = 25.0000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 37.2387 c. M: 81.2500 c. 9: 2 1 1 1 1 1 1 1 P M ME SD: 42.1729 c. M:-77.7778 c. 11: 2 1 2 1 1 1 2 1 P D3 SD: 25.4606 c. M: 40.9091 c. 14: 2 2 2 1 2 2 1 2 P D3 S SD: 20.0048 c. M:-32.1429 c. 16: 2 2 3 1 2 2 2 2 P T3 SD: 23.7222 c. M: 43.7500 c. 17: 3 2 3 1 2 2 2 2 N SD: 17.5241 c. M:-38.2353 c. 19: 3 2 3 2 2 2 3 2 SP D3 SD: 17.1810 c. M: 28.9474 c. 21: 3 3 3 2 2 3 2 3 P SD: 16.7515 c. M: 28.5714 c. 25: 4 3 4 2 3 3 3 3 P SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 50.0000 cents 2 x x x 3 x x x 4 S SD: 36.0532 cents 3 x x 4 x x 5 x 6 S SD: 32.5032 cents 4 x 5 x 6 x 7 x 8 S SD: 20.7250 cents 5 x 6:7 x 8:9 x 10 S SD: 19.4876 cents 6:7 x 8:9 x 10:11:12 S SD: 23.1200 cents 7:8:9 x 10:11:12:13:14 S SD: 16.3882 cents 8:9:10:11:12:13:14:15:16 H SD: 11.6388 cents 9:10:11:12:13:14:16:17:19 SD: 11.4920 cents 13:15:16:18:19:21:23:25:27 SD: 9.8445 cents 14:16:17:19:20:22:24:26:29 SD: 8.0845 cents 15:17:18:21:22:24:26:28:31 SD: 7.1834 cents 16:18:20:22:23:25:28:30:33 SD: 6.9143 cents 17:19:21:23:25:27:29:32:35 SD: 5.5895 cents 18:20:22:25:26:29:31:34:37 SD: 4.9859 cents 22:25:27:30:32:35:38:42:45 SD: 4.2898 cents 26:29:32:36:38:41:45:49:54 SD: 3.5632 cents 27:30:33:37:39:43:47:51:56 SD: 3.5573 cents 31:35:38:43:45:49:54:59:64 SD: 3.5340 cents 32:36:39:44:47:51:55:60:66 SD: 3.2187 cents 35:39:43:48:51:56:61:66:72 SD: 2.9166 cents 40:45:49:55:58:63:69:76:82 SD: 2.6914 cents 41:46:50:56:60:65:71:77:84 SD: 2.4528 cents 46:52:56:63:67:73:80:87:95 SD: 2.4286 cents 48:54:59:66:70:76:83:91:99 SD: 1.6205 cents 64:72:78:88:93:102:111:121:132 SD: 1.5756 cents 66:74:81:91:96:105:114:125:136 SD: 1.4095 cents 72:81:88:99:105:114:125:136:148 SD: 1.1633 cents 81:91:99:111:118:129:140:153:167 SD: 1.1072 cents 88:99:108:121:128:140:152:166:181 SD: 1.0636 cents 89:100:109:122:130:141:154:168:183 SD: 1.0595 cents 90:101:110:124:131:143:156:170:185 SD: 0.8426 cents 99:111:121:136:144:157:171:187:204 SD: 0.7233 cents 107:120:131:147:156:170:185:202:220 SD: 0.5731 cents 171:192:209:235:249:271:296:323:352 SD: 0.5107 cents 187:210:229:257:272:297:324:353:385 SD: 0.3184 cents 259:291:317:356:377:411:448:489:533 SD: 0.3037 cents 276:310:338:379:402:438:478:521:568 SD: 0.2827 cents 286:321:350:393:416:454:495:540:589 SD: 0.2036 cents 294:330:360:404:428:467:509:555:605 SD: 0.1861 cents 375:421:459:515:546:595:649:708:772 SD: 0.1653 cents 393:441:481:540:572:624:680:742:809 SD: 0.1386 cents 465:522:569:639:677:738:805:878:957 SD: 0.1260 cents 562:631:688:772:818:892:973:1061:1157 SD: 0.0949 cents