Scala analysis: xen06-vyshnegradski-nonoctave-2
Non-octave scale based on the neutral sixth
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 250.000 cents 250.000000 2: 450.000 cents 450.000000 3: 600.000 cents 600.000000 4: 700.000 cents 700.000000 5: 850.000 cents 850.000000
SHOW/INTERVAL
0: 150.0000 cents 150.0000 1: 250.0000 cents 250.0000 2: 200.0000 cents 200.0000 3: 150.0000 cents 150.0000 4: 100.0000 cents 100.0000 5: 150.0000 cents 150.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 2 150.00000 cents 1: 1 200.00000 cents 1: 1 250.00000 cents 2: 2 250.00000 cents 2: 1 350.00000 cents 2: 1 400.00000 cents 2: 1 450.00000 cents 3: 1 400.00000 cents 3: 1 450.00000 cents 3: 1 500.00000 cents 3: 2 600.00000 cents 4: 1 600.00000 cents 4: 1 650.00000 cents 4: 2 700.00000 cents 4: 1 750.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 250.0 450.0 600.0 700.0 850.0 250.0: 200.0 350.0 450.0 600.0 850.0 450.0: 150.0 250.0 400.0 650.0 850.0 600.0: 100.0 250.0 500.0 700.0 850.0 700.0: 150.0 400.0 600.0 750.0 850.0 850.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 250.0000 cents 150.00000 cents 100.00000 cents 2: 250.0000 .. 450.0000 cents 200.00000 cents 1/1, 0.0000 cents 3: 400.0000 .. 600.0000 cents 200.00000 cents -50.00000 cents 4: 600.0000 .. 750.0000 cents 150.00000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 170.0000 cents Largest one step interval : 250.00000 cents Average / Smallest step : 1.700000 Largest / Average step : 1.470588 Largest / Smallest step : 2.500000 Median interval of one step : 150.00000 cents, amount: 2 Most common interval of one step : 150.00000 cents, amount: 2 Least squares average step : 181.81818 cents, oct.: 909.09091 cents Scale is not proper Scale is a mode of a 17-tone equal temperament with octave 850.000 cents degrees: 5 9 12 14 17 Least number of segments generator : 9 of 450.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 12 of 600.000 cents and inv. generated superset size: 7 = 2 more = 140.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDC Step pattern size order : DCBAB Interval vector is [ 0 1 2 1 3 0 1 2 ] Scale is not a Constant Structure Scale diversity : 1.412629 Lumma stability : 0.235294 Lumma impropriety factor : 0.058824 Rothenberg efficiency : 0.580000 redundancy: 0.420000 Efficiency x scale size : 2.900000 Number of different interval sizes : 12 = 3.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 50.00000 cents Most common intervals : 250.00000 cents & inv., amount: 3 Number of recognisable fifths : 2, average 700.0000 cents Number of recognisable fourths : 1, average 500.0000 cents Best fifths form a closed circle Formal octave complements present : 3 = 60.0000% 2/1 octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 73.4847 c. M: 110.0000 c. 6: 2 1 1 1 1 P M ME S SD: 24.1523 c. M:-33.3333 c. 7: 2 2 1 1 1 N D3 S SD: 20.9470 c. M:-35.7143 c. 10: 3 2 2 1 2 P T3 SD: 14.6629 c. M: 25.0000 c. 11: 3 3 2 1 2 N G T3 S SD: 13.1740 c. M:-18.1818 c. 13: 4 3 2 2 2 N SD: 11.7921 c. M:-19.2308 c. 17: 5 4 3 2 3 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 350.0000 cents 2 x x x 3 x S SD: 1.9550 cents 3 x 4 x x 5 S SD: 29.5332 cents 4 x 5 x 6:7 S SD: 44.9436 cents 5:6 x 7 x 8 S SD: 25.6759 cents 6:7:8 x 9:10 S SD: 15.3649 cents 7:8:9:10 x 11 S SD: 18.4392 cents 9:10:12:13 x 15 SD: 24.2371 cents 10:12:13:14:15:16 S SD: 15.4336 cents 11:13:14:16 x 18 SD: 17.6242 cents 12:14:16:17:18:20 S SD: 12.3066 cents 14:16:18:20:21:23 SD: 6.2476 cents 20:23:26:28:30:33 SD: 5.2140 cents 24:28:31:34:36:39 SD: 4.1716 cents 34:39:44:48:51:56 SD: 3.8679 cents 38:44:49:54:57:62 SD: 2.7672 cents 44:51:57:62:66:72 SD: 1.8407 cents 58:67:75:82:87:95 SD: 1.3736 cents 77:89:100:109:115:126 SD: 1.3727 cents 84:97:109:119:126:137 SD: 0.9913 cents 104:120:135:147:156:170 SD: 0.7225 cents 128:148:166:181:192:209 SD: 0.5303 cents 205:237:266:290:307:335 SD: 0.3600 cents 263:304:341:372:394:430 SD: 0.2962 cents 297:343:385:420:445:485 SD: 0.2814 cents 309:357:401:437:463:505 SD: 0.2534 cents 347:401:450:491:520:567 SD: 0.2142 cents 418:483:542:591:626:683 SD: 0.1941 cents 502:580:651:710:752:820 SD: 0.1223 cents 560:647:726:792:839:915 SD: 0.1133 cents