Scala analysis: xen18-erlich-myna-19
4L 15s MOS for Myna, L=146.97, s=40.73
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.730 cents 40.730000 2: 81.460 cents 81.460000 3: 228.430 cents 228.430000 4: 269.160 cents 269.160000 5: 309.890 cents 309.890000 6: 350.620 cents 350.620000 7: 391.350 cents 391.350000 8: 538.320 cents 538.320000 9: 579.050 cents 579.050000 10: 619.780 cents 619.780000 11: 660.510 cents 660.510000 12: 807.480 cents 807.480000 13: 848.210 cents 848.210000 14: 888.940 cents 888.940000 15: 929.670 cents 929.670000 16: 970.400 cents 970.400000 17: 1117.370 cents 1117.370000 18: 1158.100 cents 1158.100000 19: 1198.830 cents 1198.830000
SHOW/INTERVAL
0: 40.7300 cents 40.7300 1: 40.7300 cents 40.7300 2: 40.7300 cents 40.7300 3: 146.9700 cents 146.9700 4: 40.7300 cents 40.7300 5: 40.7300 cents 40.7300 6: 40.7300 cents 40.7300 7: 40.7300 cents 40.7300 8: 146.9700 cents 146.9700 9: 40.7300 cents 40.7300 10: 40.7300 cents 40.7300 11: 40.7300 cents 40.7300 12: 146.9700 cents 146.9700 13: 40.7300 cents 40.7300 14: 40.7300 cents 40.7300 15: 40.7300 cents 40.7300 16: 40.7300 cents 40.7300 17: 146.9700 cents 146.9700 18: 40.7300 cents 40.7300 19: 40.7300 cents 40.7300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 15 40.73000 cents 1: 4 146.97000 cents 2: 11 81.46000 cents 2: 8 187.70000 cents 3: 7 122.19000 cents 3: 12 228.43000 cents 4: 3 162.92000 cents 4: 16 269.16000 cents 5: 18 309.89000 cents 5: 1 416.13000 cents 6: 14 350.62000 cents 6: 5 456.86000 cents 7: 10 391.35000 cents 7: 9 497.59000 cents 8: 6 432.08000 cents 8: 13 538.32000 cents 9: 2 472.81000 cents 9: 17 579.05000 cents 10: 17 619.78000 cents 10: 2 726.02000 cents 11: 13 660.51000 cents 11: 6 766.75000 cents 12: 9 701.24000 cents 12: 10 807.48000 cents 13: 5 741.97000 cents 13: 14 848.21000 cents 14: 1 782.70000 cents 14: 18 888.94000 cents 15: 16 929.67000 cents 15: 3 1035.91000 cents 16: 12 970.40000 cents 16: 7 1076.64000 cents 17: 8 1011.13000 cents 17: 11 1117.37000 cents 18: 4 1051.86000 cents 18: 15 1158.10000 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 7 8 9 10 11 12 13 14 15 16 17 18 19 0.0 : 40.7 81.5 228.4 269.2 309.9 350.6 391.4 538.3 579.0 619.8 660.5 807.5 848.2 888.9 929.7 970.4 1117.4 1158.1 1198.8 40.7 : 40.7 187.7 228.4 269.2 309.9 350.6 497.6 538.3 579.1 619.8 766.8 807.5 848.2 888.9 929.7 1076.6 1117.4 1158.1 1198.8 81.5 : 147.0 187.7 228.4 269.2 309.9 456.9 497.6 538.3 579.0 726.0 766.8 807.5 848.2 888.9 1035.9 1076.6 1117.4 1158.1 1198.8 228.4 : 40.7 81.5 122.2 162.9 309.9 350.6 391.4 432.1 579.1 619.8 660.5 701.2 742.0 888.9 929.7 970.4 1011.1 1051.9 1198.8 269.2 : 40.7 81.5 122.2 269.2 309.9 350.6 391.4 538.3 579.1 619.8 660.5 701.2 848.2 888.9 929.7 970.4 1011.1 1158.1 1198.8 309.9 : 40.7 81.5 228.4 269.2 309.9 350.6 497.6 538.3 579.1 619.8 660.5 807.5 848.2 888.9 929.7 970.4 1117.4 1158.1 1198.8 350.6 : 40.7 187.7 228.4 269.2 309.9 456.9 497.6 538.3 579.0 619.8 766.7 807.5 848.2 888.9 929.7 1076.6 1117.4 1158.1 1198.8 391.4 : 147.0 187.7 228.4 269.2 416.1 456.9 497.6 538.3 579.0 726.0 766.8 807.5 848.2 888.9 1035.9 1076.6 1117.4 1158.1 1198.8 538.3 : 40.7 81.5 122.2 269.2 309.9 350.6 391.3 432.1 579.0 619.8 660.5 701.2 742.0 888.9 929.7 970.4 1011.1 1051.9 1198.8 579.0 : 40.7 81.5 228.4 269.2 309.9 350.6 391.4 538.3 579.1 619.8 660.5 701.2 848.2 888.9 929.7 970.4 1011.1 1158.1 1198.8 619.8 : 40.7 187.7 228.4 269.2 309.9 350.6 497.6 538.3 579.0 619.8 660.5 807.5 848.2 888.9 929.7 970.4 1117.4 1158.1 1198.8 660.5 : 147.0 187.7 228.4 269.2 309.9 456.9 497.6 538.3 579.0 619.8 766.8 807.5 848.2 888.9 929.7 1076.6 1117.4 1158.1 1198.8 807.5 : 40.7 81.5 122.2 162.9 309.9 350.6 391.3 432.1 472.8 619.8 660.5 701.2 742.0 782.7 929.7 970.4 1011.1 1051.9 1198.8 848.2 : 40.7 81.5 122.2 269.2 309.9 350.6 391.3 432.1 579.0 619.8 660.5 701.2 742.0 888.9 929.7 970.4 1011.1 1158.1 1198.8 888.9 : 40.7 81.5 228.4 269.2 309.9 350.6 391.4 538.3 579.0 619.8 660.5 701.2 848.2 888.9 929.7 970.4 1117.4 1158.1 1198.8 929.7 : 40.7 187.7 228.4 269.2 309.9 350.6 497.6 538.3 579.0 619.8 660.5 807.5 848.2 888.9 929.7 1076.6 1117.4 1158.1 1198.8 970.4 : 147.0 187.7 228.4 269.2 309.9 456.9 497.6 538.3 579.0 619.8 766.7 807.5 848.2 888.9 1035.9 1076.6 1117.4 1158.1 1198.8 1117.4: 40.7 81.5 122.2 162.9 309.9 350.6 391.4 432.1 472.8 619.8 660.5 701.2 742.0 888.9 929.7 970.4 1011.1 1051.9 1198.8 1158.1: 40.7 81.5 122.2 269.2 309.9 350.6 391.4 432.1 579.0 619.8 660.5 701.2 848.2 888.9 929.7 970.4 1011.1 1158.1 1198.8 1198.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.7300 .. 146.9700 cents 106.24000 cents 40.73000 cents 2: 81.4600 .. 187.7000 cents 106.24000 cents -65.51000 cents 3: 122.1900 .. 228.4300 cents 106.24000 cents -65.51000 cents 4: 162.9200 .. 269.1600 cents 106.24000 cents -65.51000 cents 5: 309.8900 .. 416.1300 cents 106.24000 cents 40.73000 cents 6: 350.6200 .. 456.8600 cents 106.24000 cents -65.51000 cents 7: 391.3500 .. 497.5900 cents 106.24000 cents -65.51000 cents 8: 432.0800 .. 538.3200 cents 106.24000 cents -65.51000 cents 9: 472.8100 .. 579.0500 cents 106.24000 cents -65.51000 cents 10: 619.7800 .. 726.0200 cents 106.24000 cents 40.73000 cents 11: 660.5100 .. 766.7500 cents 106.24000 cents -65.51000 cents 12: 701.2400 .. 807.4800 cents 106.24000 cents -65.51000 cents 13: 741.9700 .. 848.2100 cents 106.24000 cents -65.51000 cents 14: 782.7000 .. 888.9400 cents 106.24000 cents -65.51000 cents 15: 929.6700 .. 1035.9100 cents 106.24000 cents 40.73000 cents 16: 970.4000 .. 1076.6400 cents 106.24000 cents -65.51000 cents 17: 1011.1300 .. 1117.3700 cents 106.24000 cents -65.51000 cents 18: 1051.8600 .. 1158.1000 cents 106.24000 cents -65.51000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 40.73000 cents, class 1 Average step (divided formal octave): 63.0963 cents Largest one step interval : 146.97000 cents Average / Smallest step : 1.549136 Largest / Average step : 2.329296 Largest / Smallest step : 3.608397 Median interval of one step : 40.73000 cents, amount: 15 Most common interval of one step : 40.73000 cents, amount: 15 Least squares average step : 63.39740 cents, oct.: 1204.55062 cents Scale is not proper Scale has Myhill's property chromas: 106.24000 cents and 65.51000 cents, ratio: 1.621737 generators: 5 of 309.89000 cents and 14 of 888.94000 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 677-tone equal temperament with octave 1198.830 cents degrees: 23 46 129 152 175 198 221 304 327 350 373 456 479 502 525 548 631 654 677 generators: 175 and 502 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAABAAABAAAABAA Step pattern size order : SSLSSSSLSSSLSSSSLSS Scale is a Constant Structure, by a margin of 15.95000 cents Scale diversity : 1.196509 Lumma stability : 0.169874 Lumma impropriety factor : 0.558328 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 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 : 15.95000 cents Most common intervals : 309.89000 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 391.350 888.940 cents Most common triad is 0.0 309.890 888.940 cents, amount: 17 Number of recognisable fifths : 9, average 701.2400 cents Number of recognisable fourths : 9, average 497.5900 cents Scale contains two identical disjunct "tetrachords" of 9 notes Formal octave complements present : 19 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 0 3 0 1 1 0 3 0 1 0 3 0 1 1 0 3 0 1 N I SD: 19.6465 c. M: 29.5468 c. 20: 0 1 3 0 1 1 0 3 0 1 1 2 1 1 0 1 2 1 1 N SD: 23.1450 c. M: 40.7300 c. 21: 1 0 3 1 0 1 1 2 1 1 1 2 1 1 0 1 3 0 1 N I SD: 16.3101 c. M: 24.5357 c. 22: 1 0 3 1 1 0 1 3 1 0 1 3 1 0 1 1 3 0 1 N I SD: 16.0416 c. M:-26.9677 c. 24: 1 1 3 0 1 1 1 3 1 0 1 3 1 1 1 0 3 1 1 N I SD: 14.3938 c. M: 21.3263 c. 25: 1 1 3 1 0 1 1 3 1 1 1 3 1 1 0 1 3 1 1 N I SD: 13.1345 c. M:-22.1708 c. 27: 1 1 3 1 1 1 1 3 1 1 1 3 1 1 1 1 3 1 1 N M DE I SD: 5.0269 c. M: 8.2600 c. 31: 1 1 4 1 1 1 1 4 1 1 1 4 1 1 1 1 4 1 1 N M DE I SD: 2.8181 c. M: 4.6306 c. 58: 2 2 7 2 2 2 2 7 2 2 2 7 2 2 2 2 7 2 2 N M DE I SD: 0.8339 c. M: 1.3702 c. 89: 3 3 11 3 3 3 3 11 3 3 3 11 3 3 3 3 11 3 3 N M DE I SD: 0.4382 c. M: 0.7200 c. 147: 5 5 18 5 5 5 5 18 5 5 5 18 5 5 5 5 18 5 5 N M DE I SD: 0.0637 c. M: 0.1047 c. 383: 13 13 47 13 13 13 13 47 13 13 13 47 13 13 13 13 47 13 13 N M DE I SD: 0.0529 c. M: 0.0869 c. 530: 18 18 65 18 18 18 18 65 18 18 18 65 18 18 18 18 65 18 18 N M DE I SD: 0.0206 c. M: 0.0338 c. 677: 23 23 83 23 23 23 23 83 23 23 23 83 23 23 23 23 83 23 23 N M DE I SD: 0.0023 c. M: 0.0037 c. 2178: 74 74 267 74 74 74 74 267 74 74 74 267 74 74 74 74 267 74 74 N M DE I SD: 0.0022 c. M: 0.0036 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 1.1700 cents 2 .. 4 match: 2 H SD: 20.7308 cents 3 .. 6 match: 3 H SD: 13.5172 cents 4 .. 8 match: 4 H SD: 10.4490 cents 5 .. 10 match: 5 H SD: 9.6176 cents 6 .. 12 match: 6 H SD: 14.9000 cents 7 .. 14 match: 7 H SD: 9.7403 cents 8 .. 16 match: 8 H SD: 7.3133 cents 9 .. 18 match: 9 H SD: 9.1590 cents 10 .. 20 match: 10 H SD: 11.0293 cents 11 .. 22 match: 9 SD: 8.8272 cents 12 .. 24 match: 11 SD: 7.6929 cents 13 .. 26 match: 10 SD: 6.4040 cents 14 .. 28 match: 13 SD: 6.7303 cents 15 .. 30 match: 12 SD: 5.0826 cents 16 .. 32 match: 11 SD: 4.1589 cents 17 .. 34 match: 14 SD: 4.3139 cents 18 .. 36 match: 13 SD: 4.2838 cents 19 .. 38 match: 14 S SD: 3.1484 cents 20 .. 40 match: 14 SD: 2.7382 cents 21 .. 42 match: 15 SD: 2.9857 cents 22 .. 44 match: 16 SD: 3.0615 cents 23 .. 46 match: 16 SD: 3.1076 cents 24 .. 48 match: 16 SD: 2.7309 cents 25 .. 50 match: 16 SD: 2.6321 cents 26 .. 52 match: 17 SD: 3.7417 cents 27 .. 54 match: 17 SD: 2.7755 cents 28 .. 56 match: 17 SD: 2.4082 cents 29 .. 58 match: 16 SD: 3.4228 cents 30 .. 60 match: 18 SD: 2.1881 cents 31 .. 62 match: 18 SD: 2.5911 cents 32 .. 64 match: 18 SD: 2.6047 cents 33 .. 66 match: 18 SD: 2.7925 cents 34 .. 68 match: 19 SD: 2.7258 cents 35 .. 70 match: 19 SD: 1.6929 cents 40 .. 80 match: 19 SD: 1.6763 cents 41 .. 82 match: 19 SD: 1.4861 cents 55 .. 110 match: 19 SD: 1.3991 cents 58 .. 116 match: 19 SD: 1.2884 cents 63 .. 126 match: 19 SD: 1.1955 cents 66 .. 132 match: 19 SD: 1.1235 cents 71 .. 142 match: 19 SD: 1.0343 cents 76 .. 152 match: 19 SD: 0.8400 cents 84 .. 168 match: 19 SD: 0.7755 cents 86 .. 172 match: 19 SD: 0.7648 cents 101 .. 202 match: 19 SD: 0.7269 cents 106 .. 212 match: 19 SD: 0.6521 cents 118 .. 236 match: 19 SD: 0.6055 cents 121 .. 242 match: 19 SD: 0.5089 cents 142 .. 284 match: 19 SD: 0.4476 cents 161 .. 322 match: 19 SD: 0.4346 cents 162 .. 324 match: 19 SD: 0.4240 cents 165 .. 330 match: 19 SD: 0.4063 cents 170 .. 340 match: 19 SD: 0.3884 cents 204 .. 408 match: 19 SD: 0.3006 cents 209 .. 418 match: 19 SD: 0.2863 cents 214 .. 428 match: 19 SD: 0.2723 cents 249 .. 498 match: 19 SD: 0.1963 cents 291 .. 582 match: 19 SD: 0.1877 cents 332 .. 664 match: 19 SD: 0.1835 cents 370 .. 740 match: 19 SD: 0.1820 cents 374 .. 747 match: 19 SD: 0.1806 cents 375 .. 749 match: 19 SD: 0.1793 cents 411 .. 821 match: 19 SD: 0.1602 cents 418 .. 835 match: 19 SD: 0.1509 cents 453 .. 905 match: 19 SD: 0.1492 cents 458 .. 915 match: 19 SD: 0.1450 cents 463 .. 925 match: 19 SD: 0.1413 cents 495 .. 989 match: 19 SD: 0.1387 cents 504 .. 1007 match: 19 SD: 0.1206 cents 516 .. 1031 match: 19 SD: 0.1184 cents 560 .. 1119 match: 19 SD: 0.1077 cents 587 .. 1173 match: 19 SD: 0.0986 cents