Scala analysis: boop19
19 note detempered sensi MOS boop (245/243) scale, rms tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 54.196 cents 54.196169 2: 122.782 cents 122.781755 3: 176.978 cents 176.977924 4: 263.949 cents 263.949327 5: 318.145 cents 318.145497 6: 386.731 cents 386.731082 7: 440.927 cents 440.927252 8: 495.123 cents 495.123421 9: 582.095 cents 582.094824 10: 617.905 cents 617.905176 11: 704.877 cents 704.876579 12: 759.073 cents 759.072748 13: 813.269 cents 813.268918 14: 881.855 cents 881.854503 15: 936.051 cents 936.050673 16: 1023.022 cents 1023.022076 17: 1077.218 cents 1077.218245 18: 1145.804 cents 1145.803831 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 54.1962 cents 54.1962 1: 54.1962 cents 54.1962 2: 68.5856 cents 68.5856 3: 54.1962 cents 54.1962 4: 86.9714 cents 86.9714 5: 54.1962 cents 54.1962 6: 68.5856 cents 68.5856 7: 54.1962 cents 54.1962 8: 54.1962 cents 54.1962 9: 86.9714 cents 86.9714 10: 35.8104 cents 35.8104 11: 86.9714 cents 86.9714 12: 54.1962 cents 54.1962 13: 54.1962 cents 54.1962 14: 68.5856 cents 68.5856 15: 54.1962 cents 54.1962 16: 86.9714 cents 86.9714 17: 54.1962 cents 54.1962 18: 68.5856 cents 68.5856 19: 54.1962 cents 54.1962
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 35.81035 cents 1: 10 54.19617 cents 1: 4 68.58559 cents 1: 4 86.97140 cents 2: 3 108.39234 cents 2: 10 122.78176 cents 2: 6 141.16757 cents 3: 10 176.97792 cents 3: 4 195.36374 cents 3: 5 209.75316 cents 4: 6 231.17409 cents 4: 1 245.56351 cents 4: 12 263.94933 cents 5: 4 299.75968 cents 5: 13 318.14550 cents 5: 2 332.53491 cents 6: 3 353.95585 cents 6: 6 372.34167 cents 6: 8 386.73108 cents 6: 2 405.11690 cents 7: 1 426.53784 cents 7: 16 440.92725 cents 7: 2 459.31307 cents 8: 12 495.12342 cents 8: 2 509.51284 cents 8: 5 527.89866 cents 9: 4 549.31959 cents 9: 7 563.70901 cents 9: 8 582.09482 cents 10: 8 617.90518 cents 10: 7 636.29099 cents 10: 4 650.68041 cents 11: 5 672.10135 cents 11: 2 690.48716 cents 11: 12 704.87658 cents 12: 2 740.68693 cents 12: 16 759.07275 cents 12: 1 773.46216 cents 13: 2 794.88310 cents 13: 8 813.26892 cents 13: 6 827.65833 cents 13: 3 846.04415 cents 14: 2 867.46509 cents 14: 13 881.85450 cents 14: 4 900.24032 cents 15: 12 936.05067 cents 15: 1 954.43649 cents 15: 6 968.82591 cents 16: 5 990.24684 cents 16: 4 1004.63626 cents 16: 10 1023.02208 cents 17: 6 1058.83243 cents 17: 10 1077.21825 cents 17: 3 1091.60766 cents 18: 4 1113.02860 cents 18: 4 1131.41441 cents 18: 10 1145.80383 cents 18: 1 1164.18965 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.22222 = 29/9
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 : 54.2 122.8 177.0 263.9 318.1 386.7 440.9 495.1 582.1 617.9 704.9 759.1 813.3 881.9 936.1 1023.0 1077.2 1145.8 1200.0 54.2 : 68.6 122.8 209.8 263.9 332.5 386.7 440.9 527.9 563.7 650.7 704.9 759.1 827.7 881.9 968.8 1023.0 1091.6 1145.8 1200.0 122.8 : 54.2 141.2 195.4 263.9 318.1 372.3 459.3 495.1 582.1 636.3 690.5 759.1 813.3 900.2 954.4 1023.0 1077.2 1131.4 1200.0 177.0 : 87.0 141.2 209.8 263.9 318.1 405.1 440.9 527.9 582.1 636.3 704.9 759.1 846.0 900.2 968.8 1023.0 1077.2 1145.8 1200.0 263.9 : 54.2 122.8 177.0 231.2 318.1 354.0 440.9 495.1 549.3 617.9 672.1 759.1 813.3 881.9 936.1 990.2 1058.8 1113.0 1200.0 318.1 : 68.6 122.8 177.0 263.9 299.8 386.7 440.9 495.1 563.7 617.9 704.9 759.1 827.7 881.9 936.1 1004.6 1058.8 1145.8 1200.0 386.7 : 54.2 108.4 195.4 231.2 318.1 372.3 426.5 495.1 549.3 636.3 690.5 759.1 813.3 867.5 936.1 990.2 1077.2 1131.4 1200.0 440.9 : 54.2 141.2 177.0 263.9 318.1 372.3 440.9 495.1 582.1 636.3 704.9 759.1 813.3 881.9 936.1 1023.0 1077.2 1145.8 1200.0 495.1 : 87.0 122.8 209.8 263.9 318.1 386.7 440.9 527.9 582.1 650.7 704.9 759.1 827.7 881.9 968.8 1023.0 1091.6 1145.8 1200.0 582.1 : 35.8 122.8 177.0 231.2 299.8 354.0 440.9 495.1 563.7 617.9 672.1 740.7 794.9 881.9 936.1 1004.6 1058.8 1113.0 1200.0 617.9 : 87.0 141.2 195.4 263.9 318.1 405.1 459.3 527.9 582.1 636.3 704.9 759.1 846.0 900.2 968.8 1023.0 1077.2 1164.2 1200.0 704.9 : 54.2 108.4 177.0 231.2 318.1 372.3 440.9 495.1 549.3 617.9 672.1 759.1 813.3 881.9 936.1 990.2 1077.2 1113.0 1200.0 759.1 : 54.2 122.8 177.0 263.9 318.1 386.7 440.9 495.1 563.7 617.9 704.9 759.1 827.7 881.9 936.1 1023.0 1058.8 1145.8 1200.0 813.3 : 68.6 122.8 209.8 263.9 332.5 386.7 440.9 509.5 563.7 650.7 704.9 773.5 827.7 881.9 968.8 1004.6 1091.6 1145.8 1200.0 881.9 : 54.2 141.2 195.4 263.9 318.1 372.3 440.9 495.1 582.1 636.3 704.9 759.1 813.3 900.2 936.1 1023.0 1077.2 1131.4 1200.0 936.1 : 87.0 141.2 209.8 263.9 318.1 386.7 440.9 527.9 582.1 650.7 704.9 759.1 846.0 881.9 968.8 1023.0 1077.2 1145.8 1200.0 1023.0: 54.2 122.8 177.0 231.2 299.8 354.0 440.9 495.1 563.7 617.9 672.1 759.1 794.9 881.9 936.1 990.2 1058.8 1113.0 1200.0 1077.2: 68.6 122.8 177.0 245.6 299.8 386.7 440.9 509.5 563.7 617.9 704.9 740.7 827.7 881.9 936.1 1004.6 1058.8 1145.8 1200.0 1145.8: 54.2 108.4 177.0 231.2 318.1 372.3 440.9 495.1 549.3 636.3 672.1 759.1 813.3 867.5 936.1 990.2 1077.2 1131.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 35.8104 .. 86.9714 cents 51.16105 cents 35.81035 cents 2: 108.3923 .. 141.1676 cents 32.77523 cents 21.42094 cents 3: 176.9779 .. 209.7532 cents 32.77523 cents 35.81035 cents 4: 231.1741 .. 263.9493 cents 32.77523 cents 21.42094 cents 5: 299.7597 .. 332.5349 cents 32.77523 cents 35.81035 cents 6: 353.9558 .. 405.1169 cents 51.16105 cents 21.42094 cents 7: 426.5378 .. 459.3131 cents 32.77523 cents 21.42094 cents 8: 495.1234 .. 527.8987 cents 32.77523 cents 35.81035 cents 9: 549.3196 .. 582.0948 cents 32.77523 cents 21.42094 cents 10: 617.9052 .. 650.6804 cents 32.77523 cents 35.81035 cents 11: 672.1013 .. 704.8766 cents 32.77523 cents 21.42094 cents 12: 740.6869 .. 773.4622 cents 32.77523 cents 35.81035 cents 13: 794.8831 .. 846.0442 cents 51.16105 cents 21.42094 cents 14: 867.4651 .. 900.2403 cents 32.77523 cents 21.42093 cents 15: 936.0507 .. 968.8259 cents 32.77523 cents 35.81035 cents 16: 990.2468 .. 1023.0221 cents 32.77523 cents 21.42093 cents 17: 1058.8324 .. 1091.6077 cents 32.77523 cents 35.81035 cents 18: 1113.0286 .. 1164.1896 cents 51.16105 cents 21.42093 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 35.81035 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 86.97140 cents Average / Smallest step : 1.763677 Largest / Average step : 1.377047 Largest / Smallest step : 2.428667 Median interval of one step : 54.19617 cents, amount: 10 Most common interval of one step : 54.19617 cents, amount: 10 Least squares average step : 63.23492 cents, oct.: 1201.46350 cents Scale is strictly proper Step pattern alph. order: ABACABAACDCAABACABA Step pattern size order : BCBDBCBBDADBBCBDBCB Scale is a Constant Structure, by a margin of 21.42093 cents Scale diversity : 1.346857 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.447085 Number of different interval sizes : 58 = 3.22222 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.22222 = 29/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 14.38942 cents Most common intervals : 440.92725 cents & inv., amount: 16 Most common triad is 0.0 440.927 759.073 cents, amount: 13 Number of recognisable fifths : 14, average 702.8209 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 19 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 8.7920 c. M: 13.6738 c. 27: 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 P M ME I SD: 7.3261 c. M: 13.2689 c. 41: 2 2 2 3 2 2 2 2 3 1 3 2 2 2 2 3 2 2 2 SP D3 I SD: 3.6607 c. M:-6.2433 c. 49: 2 3 2 4 2 3 2 2 4 1 4 2 2 3 2 4 2 3 2 P I SD: 4.2827 c. M:-5.6603 c. 60: 3 3 3 4 3 3 3 3 4 2 4 3 3 3 3 4 3 3 3 SP D3 I SD: 3.8923 c. M: 6.7311 c. 68: 3 4 3 5 3 4 3 3 5 2 5 3 3 4 3 5 3 4 3 SP I SD: 0.8345 c. M:-1.5042 c. 155: 7 9 7 11 7 9 7 7 11 5 11 7 7 9 7 11 7 9 7 SP I SD: 0.7891 c. M: 1.4497 c. 177: 8 10 8 13 8 10 8 8 13 5 13 8 8 10 8 13 8 10 8 SP I SD: 0.5254 c. M:-0.9560 c. 245: 11 14 11 18 11 14 11 11 18 7 18 11 11 14 11 18 11 14 11 SP I SD: 0.4352 c. M:-0.7623 c. 264: 12 15 12 19 12 15 12 12 19 8 19 12 12 15 12 19 12 15 12 SP I SD: 0.2581 c. M:-0.3674 c. 332: 15 19 15 24 15 19 15 15 24 10 24 15 15 19 15 24 15 19 15 SP I SD: 0.0897 c. M:-0.1671 c. 841: 38 48 38 61 38 48 38 38 61 25 61 38 38 48 38 61 38 48 38 SP I SD: 0.0437 c. M: 0.0707 c. 1173: 53 67 53 85 53 67 53 53 85 35 85 53 53 67 53 85 53 67 53 SP I SD: 0.0163 c. M: 0.0303 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.4608 cents 3 .. 6 match: 3 H SD: 1.2826 cents 4 .. 8 match: 4 H SD: 8.2270 cents 5 .. 10 match: 5 H SD: 1.2010 cents 6 .. 12 match: 6 H SD: 4.4899 cents 7 .. 14 match: 7 H SD: 5.8832 cents 8 .. 16 match: 8 H SD: 7.5215 cents 9 .. 18 match: 9 H SD: 5.6415 cents 10 .. 20 match: 10 H SD: 4.2688 cents 11 .. 22 match: 11 H SD: 7.2745 cents 12 .. 24 match: 12 H SD: 4.5376 cents 13 .. 26 match: 13 H SD: 6.0815 cents 14 .. 28 match: 14 H SD: 4.5814 cents 15 .. 30 match: 14 SD: 3.8560 cents 16 .. 32 match: 15 SD: 4.6158 cents 17 .. 34 match: 15 SD: 4.4078 cents 18 .. 36 match: 17 SD: 3.7560 cents 19 .. 38 match: 15 SD: 4.7033 cents 20 .. 40 match: 18 SD: 3.4181 cents 21 .. 42 match: 18 SD: 3.9598 cents 22 .. 44 match: 15 SD: 4.0712 cents 23 .. 46 match: 18 SD: 3.8896 cents 24 .. 48 match: 18 SD: 2.8870 cents 25 .. 50 match: 19 SD: 2.8029 cents 28 .. 56 match: 19 SD: 2.3350 cents 29 .. 58 match: 18 SD: 2.6466 cents 30 .. 60 match: 19 SD: 2.1547 cents 35 .. 70 match: 19 SD: 1.9508 cents 40 .. 80 match: 19 SD: 1.8496 cents 44 .. 88 match: 19 SD: 1.8481 cents 45 .. 90 match: 19 SD: 1.6511 cents 52 .. 104 match: 19 SD: 1.6464 cents 53 .. 106 match: 19 SD: 1.4974 cents 54 .. 108 match: 19 SD: 1.4355 cents 55 .. 110 match: 19 SD: 1.2659 cents 56 .. 112 match: 19 SD: 1.2494 cents 60 .. 120 match: 19 SD: 1.1560 cents 63 .. 126 match: 19 SD: 1.1433 cents 65 .. 130 match: 19 SD: 0.9838 cents 80 .. 160 match: 19 SD: 0.9617 cents 83 .. 166 match: 19 SD: 0.9506 cents 84 .. 168 match: 19 SD: 0.8313 cents 92 .. 184 match: 19 SD: 0.8288 cents 93 .. 186 match: 19 SD: 0.6120 cents 120 .. 240 match: 19 SD: 0.5429 cents 123 .. 246 match: 19 SD: 0.5177 cents 133 .. 266 match: 19 SD: 0.5087 cents 145 .. 290 match: 19 SD: 0.4787 cents 148 .. 296 match: 19 SD: 0.4766 cents 149 .. 298 match: 19 SD: 0.4718 cents 152 .. 304 match: 19 SD: 0.4604 cents 158 .. 316 match: 19 SD: 0.4459 cents 159 .. 318 match: 19 SD: 0.4417 cents 160 .. 320 match: 19 SD: 0.4226 cents 163 .. 326 match: 19 SD: 0.3853 cents 175 .. 350 match: 19 SD: 0.3778 cents 187 .. 374 match: 19 SD: 0.3256 cents 217 .. 434 match: 19 SD: 0.3038 cents 223 .. 446 match: 19 SD: 0.3028 cents 242 .. 484 match: 19 SD: 0.2802 cents 247 .. 494 match: 19 SD: 0.2572 cents 272 .. 544 match: 19 SD: 0.2354 cents 287 .. 574 match: 19 SD: 0.1869 cents 352 .. 704 match: 19 SD: 0.1743 cents 372 .. 744 match: 19 SD: 0.1638 cents 407 .. 814 match: 19 SD: 0.1447 cents 420 .. 840 match: 19 SD: 0.1444 cents 438 .. 876 match: 19 SD: 0.1189 cents 531 .. 1062 match: 19 SD: 0.1167 cents 583 .. 1166 match: 19 SD: 0.1144 cents 595 .. 1190 match: 19 SD: 0.1079 cents