Scala analysis: xen18-erlich-cynder-16
5L 11s MOS for Cynder, L=154.32, s=39.10
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 39.100 cents 39.100000 2: 193.420 cents 193.420000 3: 232.520 cents 232.520000 4: 271.620 cents 271.620000 5: 425.940 cents 425.940000 6: 465.040 cents 465.040000 7: 504.140 cents 504.140000 8: 658.460 cents 658.460000 9: 697.560 cents 697.560000 10: 736.660 cents 736.660000 11: 775.760 cents 775.760000 12: 930.080 cents 930.080000 13: 969.180 cents 969.180000 14: 1008.280 cents 1008.280000 15: 1162.600 cents 1162.600000 16: 1201.700 cents 1201.700000
SHOW/INTERVAL
0: 39.1000 cents 39.1000 1: 39.1000 cents 39.1000 2: 154.3200 cents 154.3200 3: 39.1000 cents 39.1000 4: 39.1000 cents 39.1000 5: 154.3200 cents 154.3200 6: 39.1000 cents 39.1000 7: 39.1000 cents 39.1000 8: 154.3200 cents 154.3200 9: 39.1000 cents 39.1000 10: 39.1000 cents 39.1000 11: 39.1000 cents 39.1000 12: 154.3200 cents 154.3200 13: 39.1000 cents 39.1000 14: 39.1000 cents 39.1000 15: 154.3200 cents 154.3200 16: 39.1000 cents 39.1000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 39.10000 cents 1: 5 154.32000 cents 2: 6 78.20000 cents 2: 10 193.42000 cents 3: 1 117.30000 cents 3: 15 232.52000 cents 4: 12 271.62000 cents 4: 4 386.84000 cents 5: 7 310.72000 cents 5: 9 425.94000 cents 6: 2 349.82000 cents 6: 14 465.04000 cents 7: 13 504.14000 cents 7: 3 619.36000 cents 8: 8 543.24000 cents 8: 8 658.46000 cents 9: 3 582.34000 cents 9: 13 697.56000 cents 10: 14 736.66000 cents 10: 2 851.88000 cents 11: 9 775.76000 cents 11: 7 890.98000 cents 12: 4 814.86000 cents 12: 12 930.08000 cents 13: 15 969.18000 cents 13: 1 1084.40000 cents 14: 10 1008.28000 cents 14: 6 1123.50000 cents 15: 5 1047.38000 cents 15: 11 1162.60000 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 0.0 : 39.1 193.4 232.5 271.6 425.9 465.0 504.1 658.5 697.6 736.7 775.8 930.1 969.2 1008.3 1162.6 1201.7 39.1 : 154.3 193.4 232.5 386.8 425.9 465.0 619.4 658.5 697.6 736.7 891.0 930.1 969.2 1123.5 1162.6 1201.7 193.4 : 39.1 78.2 232.5 271.6 310.7 465.0 504.1 543.2 582.3 736.7 775.8 814.9 969.2 1008.3 1047.4 1201.7 232.5 : 39.1 193.4 232.5 271.6 425.9 465.0 504.1 543.2 697.6 736.7 775.8 930.1 969.2 1008.3 1162.6 1201.7 271.6 : 154.3 193.4 232.5 386.8 425.9 465.0 504.1 658.5 697.6 736.7 891.0 930.1 969.2 1123.5 1162.6 1201.7 425.9 : 39.1 78.2 232.5 271.6 310.7 349.8 504.1 543.2 582.3 736.7 775.8 814.9 969.2 1008.3 1047.4 1201.7 465.0 : 39.1 193.4 232.5 271.6 310.7 465.0 504.1 543.2 697.6 736.7 775.8 930.1 969.2 1008.3 1162.6 1201.7 504.1 : 154.3 193.4 232.5 271.6 425.9 465.0 504.1 658.5 697.6 736.7 891.0 930.1 969.2 1123.5 1162.6 1201.7 658.5 : 39.1 78.2 117.3 271.6 310.7 349.8 504.1 543.2 582.3 736.7 775.8 814.9 969.2 1008.3 1047.4 1201.7 697.6 : 39.1 78.2 232.5 271.6 310.7 465.0 504.1 543.2 697.6 736.7 775.8 930.1 969.2 1008.3 1162.6 1201.7 736.7 : 39.1 193.4 232.5 271.6 425.9 465.0 504.1 658.5 697.6 736.7 891.0 930.1 969.2 1123.5 1162.6 1201.7 775.8 : 154.3 193.4 232.5 386.8 425.9 465.0 619.4 658.5 697.6 851.9 891.0 930.1 1084.4 1123.5 1162.6 1201.7 930.1 : 39.1 78.2 232.5 271.6 310.7 465.0 504.1 543.2 697.6 736.7 775.8 930.1 969.2 1008.3 1047.4 1201.7 969.2 : 39.1 193.4 232.5 271.6 425.9 465.0 504.1 658.5 697.6 736.7 891.0 930.1 969.2 1008.3 1162.6 1201.7 1008.3: 154.3 193.4 232.5 386.8 425.9 465.0 619.4 658.5 697.6 851.9 891.0 930.1 969.2 1123.5 1162.6 1201.7 1162.6: 39.1 78.2 232.5 271.6 310.7 465.0 504.1 543.2 697.6 736.7 775.8 814.9 969.2 1008.3 1047.4 1201.7 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.1000 .. 154.3200 cents 115.22000 cents 39.10000 cents 2: 78.2000 .. 193.4200 cents 115.22000 cents -76.12000 cents 3: 117.3000 .. 232.5200 cents 115.22000 cents -76.12000 cents 4: 271.6200 .. 386.8400 cents 115.22000 cents 39.10000 cents 5: 310.7200 .. 425.9400 cents 115.22000 cents -76.12000 cents 6: 349.8200 .. 465.0400 cents 115.22000 cents -76.12000 cents 7: 504.1400 .. 619.3600 cents 115.22000 cents 39.10000 cents 8: 543.2400 .. 658.4600 cents 115.22000 cents -76.12000 cents 9: 582.3400 .. 697.5600 cents 115.22000 cents -76.12000 cents 10: 736.6600 .. 851.8800 cents 115.22000 cents 39.10000 cents 11: 775.7600 .. 890.9800 cents 115.22000 cents -76.12000 cents 12: 814.8600 .. 930.0800 cents 115.22000 cents -76.12000 cents 13: 969.1800 .. 1084.4000 cents 115.22000 cents 39.10000 cents 14: 1008.2800 .. 1123.5000 cents 115.22000 cents -76.12000 cents 15: 1047.3800 .. 1162.6000 cents 115.22000 cents -76.12000 cents
SHOW DATA
Number of notes : 16 -- Interval properties -- Smallest interval : 39.10000 cents, class 1 Average step (divided formal octave): 75.1062 cents Largest one step interval : 154.32000 cents Average / Smallest step : 1.920876 Largest / Average step : 2.054689 Largest / Smallest step : 3.946803 Median interval of one step : 39.10000 cents, amount: 11 Most common interval of one step : 39.10000 cents, amount: 11 Least squares average step : 75.29880 cents, oct.: 1204.78075 cents Scale is not proper Scale has Myhill's property chromas: 115.22000 cents and 76.12000 cents, ratio: 1.513663 generators: 3 of 232.52000 cents and 13 of 969.18000 cents ET pair of linear temperament : 26&31 Scale is distributional even Scale is a mode of a 584-tone equal temperament with octave 1201.700 cents degrees: 19 94 113 132 207 226 245 320 339 358 377 452 471 490 565 584 generators: 113 and 471 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABAABAAABAABA Step pattern size order : SLSSLSSLSSSLSSLS Scale is a Constant Structure, by a margin of 37.02000 cents Scale diversity : 1.237357 Lumma stability : 0.195223 Lumma impropriety factor : 0.479404 Rothenberg efficiency : 0.708333 redundancy: 0.291667 Efficiency x scale size : 11.333333 Number of different interval sizes : 30 = 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 : 37.02000 cents Most common intervals : 232.52000 cents & inv., amount: 15 Scale is a chain of 8 triads 0.0 425.940 969.180 cents Most common triad is 0.0 232.520 969.180 cents, amount: 14 Number of recognisable fifths : 13, average 697.5600 cents Number of recognisable fourths : 13, average 504.1400 cents Formal octave complements present : 15 = 93.7500% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 9-10 -- Rational properties --
FIT/MODE
16: 0 2 1 0 2 1 0 2 1 0 1 2 0 1 2 1 N T3 SD: 41.1079 c. M: 67.9050 c. 17: 0 2 1 1 2 0 1 2 1 0 1 2 0 1 2 1 N SD: 27.3963 c. M: 52.0435 c. 18: 1 2 0 1 2 1 1 2 0 1 1 2 1 0 2 1 N T3 SD: 20.7973 c. M: 32.2367 c. 20: 1 2 1 1 2 1 0 3 1 0 1 2 1 1 2 1 N SD: 17.0704 c. M: 28.8050 c. 24: 1 3 0 1 3 1 1 3 1 0 1 3 1 1 3 1 N SD: 19.0197 c. M: 35.6683 c. 25: 1 3 1 1 3 1 1 3 1 0 1 3 1 1 3 1 N SD: 13.2138 c. M:-24.6080 c. 26: 1 3 1 1 3 1 1 3 1 1 1 3 1 1 3 1 N M DE SD: 6.6021 c. M: 11.3908 c. 31: 1 4 1 1 4 1 1 4 1 1 1 4 1 1 4 1 N M DE SD: 0.3111 c. M:-0.5368 c. 305: 10 39 10 10 39 10 10 39 10 10 10 39 10 10 39 10 N M DE SD: 0.2782 c. M: 0.4800 c. 336: 11 43 11 11 43 11 11 43 11 11 11 43 11 11 43 11 N M DE SD: 0.2238 c. M: 0.3862 c. 367: 12 47 12 12 47 12 12 47 12 12 12 47 12 12 47 12 N M DE SD: 0.1786 c. M: 0.3082 c. 398: 13 51 13 13 51 13 13 51 13 13 13 51 13 13 51 13 N M DE SD: 0.1405 c. M: 0.2424 c. 429: 14 55 14 14 55 14 14 55 14 14 14 55 14 14 55 14 N M DE SD: 0.1079 c. M: 0.1861 c. 460: 15 59 15 15 59 15 15 59 15 15 15 59 15 15 59 15 N M DE SD: 0.0796 c. M: 0.1374 c. 491: 16 63 16 16 63 16 16 63 16 16 16 63 16 16 63 16 N M DE SD: 0.0550 c. M: 0.0948 c. 522: 17 67 17 17 67 17 17 67 17 17 17 67 17 17 67 17 N M DE SD: 0.0332 c. M: 0.0573 c. 553: 18 71 18 18 71 18 18 71 18 18 18 71 18 18 71 18 N M DE SD: 0.0139 c. M: 0.0240 c. 584: 19 75 19 19 75 19 19 75 19 19 19 75 19 19 75 19 N M DE SD: 0.0033 c. M:-0.0058 c. 1721: 56 221 56 56 221 56 56 221 56 56 56 221 56 56 221 56 N M DE SD: 0.0022 c. M: 0.0038 c. 2305: 75 296 75 75 296 75 75 296 75 75 75 296 75 75 296 75 N M DE SD: 0.0008 c. M: 0.0014 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 1.7000 cents 2 .. 4 match: 2 H SD: 2.3562 cents 3 .. 6 match: 3 H SD: 15.3857 cents 4 .. 8 match: 4 H SD: 9.9768 cents 5 .. 10 match: 5 H SD: 19.2188 cents 6 .. 12 match: 6 H SD: 10.3550 cents 7 .. 14 match: 7 H SD: 10.9208 cents 8 .. 16 match: 7 S SD: 12.8756 cents 9 .. 18 match: 8 S SD: 11.6853 cents 10 .. 20 match: 8 SD: 8.4232 cents 11 .. 22 match: 9 SD: 7.5748 cents 12 .. 24 match: 9 SD: 8.8672 cents 13 .. 26 match: 8 SD: 5.5445 cents 14 .. 28 match: 10 SD: 5.5830 cents 15 .. 30 match: 11 SD: 8.4508 cents 16 .. 32 match: 13 SD: 7.3026 cents 17 .. 34 match: 12 SD: 6.2081 cents 18 .. 36 match: 12 SD: 5.3819 cents 19 .. 38 match: 12 SD: 5.5459 cents 20 .. 40 match: 13 SD: 4.9327 cents 21 .. 42 match: 14 SD: 4.9975 cents 22 .. 44 match: 12 SD: 4.6237 cents 23 .. 46 match: 14 SD: 4.0666 cents 24 .. 48 match: 14 SD: 3.2544 cents 25 .. 50 match: 13 SD: 3.5168 cents 26 .. 52 match: 15 SD: 3.3361 cents 27 .. 54 match: 15 SD: 3.6043 cents 28 .. 56 match: 15 SD: 2.5781 cents 30 .. 60 match: 15 SD: 2.6828 cents 31 .. 62 match: 14 SD: 3.6541 cents 32 .. 64 match: 15 SD: 2.1935 cents 35 .. 70 match: 16 SD: 2.0461 cents 36 .. 72 match: 16 SD: 1.9681 cents 41 .. 82 match: 16 SD: 1.7271 cents 42 .. 84 match: 16 SD: 1.5385 cents 48 .. 96 match: 16 SD: 1.4443 cents 58 .. 116 match: 16 SD: 1.4204 cents 65 .. 130 match: 16 SD: 1.3517 cents 68 .. 136 match: 16 SD: 1.2989 cents 69 .. 138 match: 16 SD: 1.1915 cents 71 .. 142 match: 16 SD: 1.1168 cents 75 .. 150 match: 16 SD: 1.0324 cents 76 .. 152 match: 16 SD: 0.8712 cents 83 .. 166 match: 16 SD: 0.8281 cents 100 .. 200 match: 16 SD: 0.7534 cents 104 .. 208 match: 16 SD: 0.7226 cents 117 .. 234 match: 16 SD: 0.6478 cents 119 .. 238 match: 16 SD: 0.5490 cents 136 .. 272 match: 16 SD: 0.5220 cents 159 .. 318 match: 16 SD: 0.4964 cents 166 .. 332 match: 16 SD: 0.4463 cents 169 .. 338 match: 16 SD: 0.4389 cents 172 .. 344 match: 16 SD: 0.4323 cents 175 .. 350 match: 16 SD: 0.4128 cents 187 .. 374 match: 16 SD: 0.4084 cents 201 .. 402 match: 16 SD: 0.3766 cents 211 .. 422 match: 16 SD: 0.3403 cents 228 .. 456 match: 16 SD: 0.3328 cents 230 .. 460 match: 16 SD: 0.3124 cents 260 .. 521 match: 16 SD: 0.3049 cents 264 .. 529 match: 16 SD: 0.2641 cents 272 .. 545 match: 16 SD: 0.2378 cents 305 .. 611 match: 16 SD: 0.1832 cents 347 .. 695 match: 16 SD: 0.1748 cents 405 .. 811 match: 16 SD: 0.1498 cents 441 .. 883 match: 16 SD: 0.1407 cents 488 .. 977 match: 16 SD: 0.1235 cents 564 .. 1129 match: 16 SD: 0.1152 cents 577 .. 1155 match: 16 SD: 0.0919 cents