Scala analysis: xen18-erlich-myna-03
1L 2s MOS for Myna, L=579.05, s=309.89
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 309.890 cents 309.890000 2: 888.940 cents 888.940000 3: 1198.830 cents 1198.830000
SHOW/INTERVAL
0: 309.8900 cents 309.8900 1: 309.8900 cents 309.8900 2: 579.0500 cents 579.0500 3: 309.8900 cents 309.8900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 309.89000 cents 1: 1 579.05000 cents 2: 1 619.78000 cents 2: 2 888.94000 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 0.0 : 309.9 888.9 1198.8 309.9 : 579.1 888.9 1198.8 888.9 : 309.9 619.8 1198.8 1198.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 309.8900 .. 579.0500 cents 269.16000 cents 309.89000 cents 2: 619.7800 .. 888.9400 cents 269.16000 cents 40.73000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 309.89000 cents, class 1 Average step (divided formal octave): 399.6100 cents Largest one step interval : 579.05000 cents Average / Smallest step : 1.289522 Largest / Average step : 1.449038 Largest / Smallest step : 1.868566 Median interval of one step : 309.89000 cents, amount: 2 Most common interval of one step : 309.89000 cents, amount: 2 Least squares average step : 406.01857 cents, oct.: 1218.05571 cents Scale is strictly proper Scale has Myhill's property chromas: 269.16000 cents and 40.73000 cents, ratio: 6.608397 generators: 1 of 309.89000 cents and 2 of 888.94000 cents ET pair of linear temperament : 27&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 530-tone equal temperament with octave 1198.830 cents degrees: 137 393 530 generators: 137 and 393 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : SLS Scale is a Constant Structure, by a margin of 40.73000 cents Scale diversity : 1.317768 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.550962 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 40.73000 cents Most common intervals : 309.89000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 73.2561 c. M:-89.7200 c. 4: 1 2 1 P M ME I SD: 8.3140 c. M:-10.1825 c. 15: 4 7 4 SP M DE I SD: 8.0000 c. M:-9.7980 c. 19: 5 9 5 SP M DE I SD: 4.5655 c. M:-5.5916 c. 23: 6 11 6 SP M DE I SD: 2.3256 c. M:-2.8483 c. 27: 7 13 7 SP M DE I SD: 0.7494 c. M:-0.9178 c. 31: 8 15 8 SP M DE I SD: 0.4201 c. M:-0.5145 c. 58: 15 28 15 SP M DE I SD: 0.1243 c. M:-0.1522 c. 89: 23 43 23 SP M DE I SD: 0.0653 c. M:-0.0800 c. 147: 38 71 38 SP M DE I SD: 0.0095 c. M:-0.0116 c. 383: 99 185 99 SP M DE I SD: 0.0079 c. M:-0.0097 c. 530: 137 256 137 SP M DE I SD: 0.0031 c. M:-0.0038 c. 677: 175 327 175 SP M DE I SD: 0.0003 c. M:-0.0004 c. 2178: 563 1052 563 SP M DE I SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x 2 S SD: 1.1700 cents 2 x 3:4 S SD: 93.4943 cents 3:4:5:6 H SD: 62.7381 cents 4:5:7:8 SD: 36.8536 cents 5:6:8:10 S SD: 25.1607 cents 6:7:10:12 SD: 14.4261 cents 9:11:15:18 SD: 12.6049 cents 10:12:17:20 SD: 10.0920 cents 15:18:25:30 SD: 2.4818 cents 36:43:60:72 SD: 1.7501 cents 46:55:77:92 SD: 1.0664 cents 61:73:102:122 SD: 0.6304 cents 82:98:137:164 SD: 0.5956 cents 97:116:162:194 SD: 0.5210 cents 143:171:239:286 SD: 0.4125 cents 158:189:264:316 SD: 0.4055 cents 301:360:503:602 SD: 0.3900 cents 383:458:640:765 SD: 0.3768 cents 398:476:665:795 SD: 0.3451 cents 413:494:690:825 SD: 0.3397 cents 423:506:707:845 SD: 0.3259 cents 429:513:717:857 SD: 0.3133 cents 444:531:742:887 SD: 0.2644 cents 459:549:767:917 SD: 0.2415 cents 490:586:819:979 SD: 0.2373 cents 495:592:827:989 SD: 0.2346 cents 505:604:844:1009 SD: 0.1951 cents 520:622:869:1039 SD: 0.1790 cents 541:647:904:1081 SD: 0.1537 cents 556:665:929:1111 SD: 0.1502 cents 587:702:981:1173 SD: 0.1225 cents