Scala analysis: xen18-erlich-luna-06
1L 5s MOS for Luna, L=234.000, s=193.196
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 193.196 cents 193.196000 2: 386.392 cents 386.392000 3: 620.392 cents 620.392000 4: 813.588 cents 813.588000 5: 1006.784 cents 1006.784000 6: 1199.980 cents 1199.980000
SHOW/INTERVAL
0: 193.1960 cents 193.1960 1: 193.1960 cents 193.1960 2: 193.1960 cents 193.1960 3: 234.0000 cents 234.0000 4: 193.1960 cents 193.1960 5: 193.1960 cents 193.1960 6: 193.1960 cents 193.1960
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 193.19600 cents 1: 1 234.00000 cents 2: 4 386.39200 cents 2: 2 427.19600 cents 3: 3 579.58800 cents 3: 3 620.39200 cents 4: 2 772.78400 cents 4: 4 813.58800 cents 5: 1 965.98000 cents 5: 5 1006.78400 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 193.2 386.4 620.4 813.6 1006.8 1200.0 193.2 : 193.2 427.2 620.4 813.6 1006.8 1200.0 386.4 : 234.0 427.2 620.4 813.6 1006.8 1200.0 620.4 : 193.2 386.4 579.6 772.8 966.0 1200.0 813.6 : 193.2 386.4 579.6 772.8 1006.8 1200.0 1006.8: 193.2 386.4 579.6 813.6 1006.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 193.1960 .. 234.0000 cents 40.80400 cents 193.19600 cents 2: 386.3920 .. 427.1960 cents 40.80400 cents 152.39200 cents 3: 579.5880 .. 620.3920 cents 40.80400 cents 152.39200 cents 4: 772.7840 .. 813.5880 cents 40.80400 cents 152.39200 cents 5: 965.9800 .. 1006.7840 cents 40.80400 cents 152.39200 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 193.19600 cents, class 1 Average step (divided formal octave): 199.9967 cents Largest one step interval : 234.00000 cents Average / Smallest step : 1.035201 Largest / Average step : 1.170020 Largest / Smallest step : 1.211205 Median interval of one step : 193.19600 cents, amount: 5 Most common interval of one step : 193.19600 cents, amount: 5 Least squares average step : 201.26712 cents, oct.: 1207.60273 cents Scale is strictly proper Scale has Myhill's property chromas: 40.80400 cents and 152.39200 cents, ratio: 3.734732 generators: 1 of 193.19600 cents and 5 of 1006.78400 cents ET pair of linear temperament : 25&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 441-tone equal temperament with octave 1199.980 cents degrees: 71 142 228 299 370 441 generators: 71 and 370 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAA Step pattern size order : SSLSSS Scale is a Constant Structure, by a margin of 152.39200 cents Scale diversity : 1.173527 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.829980 Rothenberg efficiency : 0.777778 redundancy: 0.222222 Efficiency x scale size : 4.666667 Number of different interval sizes : 10 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 40.80400 cents Most common intervals : 193.19600 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 386.392 1006.784 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 5-6 -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 12.1019 c. M: 20.4020 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 19: 3 3 4 3 3 3 SP M ME SD: 6.6295 c. M:-11.1764 c. 25: 4 4 5 4 4 4 SP M ME SD: 2.1340 c. M:-3.5976 c. 31: 5 5 6 5 5 5 SP M ME SD: 0.6213 c. M: 1.0475 c. 56: 9 9 11 9 9 9 SP M DE SD: 0.6087 c. M:-1.0262 c. 87: 14 14 17 14 14 14 SP M DE SD: 0.1704 c. M:-0.2873 c. 118: 19 19 23 19 19 19 SP M DE SD: 0.0376 c. M: 0.0634 c. 323: 52 52 63 52 52 52 SP M DE SD: 0.0184 c. M:-0.0311 c. 441: 71 71 86 71 71 71 SP M DE SD: 0.0035 c. M:-0.0058 c. 1000: 161 161 195 161 161 161 SP M DE SD: 0.0014 c. M: 0.0023 c. 1441: 232 232 281 232 232 232 SP M DE SD: 0.0001 c. M:-0.0002 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0200 cents 2 x x 3 x x 4 S SD: 40.7815 cents 3 x 4 x 5 x 6 S SD: 44.0642 cents 4 x 5:6 x 7:8 S SD: 22.4908 cents 5 x 6:7:8:9:10 S SD: 16.1956 cents 7:8:9:10:11:13:14 SD: 15.8140 cents 8:9:10:11:13:14:16 SD: 13.9966 cents 9:10:11:13:14:16:18 SD: 11.0338 cents 15:17:19:21:24:27:30 SD: 8.5405 cents 16:18:20:23:26:29:32 SD: 6.2854 cents 19:21:24:27:30:34:38 SD: 6.2130 cents 23:26:29:33:37:41:46 SD: 4.5111 cents 25:28:31:36:40:45:50 SD: 3.4964 cents 28:31:35:40:45:50:56 SD: 3.1923 cents 32:36:40:46:51:57:64 SD: 2.7641 cents 33:37:41:47:53:59:66 SD: 2.6229 cents 44:49:55:63:70:79:88 SD: 2.2665 cents 51:57:64:73:82:91:102 SD: 1.9557 cents 52:58:65:74:83:93:104 SD: 1.8675 cents 60:67:75:86:96:107:120 SD: 1.0651 cents 93:104:116:133:149:166:186 SD: 0.9924 cents 95:106:119:136:152:170:190 SD: 0.8507 cents 100:112:125:143:160:179:200 SD: 0.5718 cents 128:143:160:183:205:229:256 SD: 0.4566 cents 160:179:200:229:256:286:320 SD: 0.2810 cents 255:285:319:365:408:456:510 SD: 0.2678 cents 280:313:350:401:448:501:560 SD: 0.2557 cents 288:322:360:412:461:515:576 SD: 0.1912 cents 355:397:444:508:568:635:710 SD: 0.1640 cents 432:483:540:618:691:773:864 SD: 0.1407 cents 492:550:615:704:787:880:984 SD: 0.0803 cents