Scala analysis: xen07-chalmers-hanson
Hanson-19
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 67.900 cents 67.900000 2: 135.800 cents 135.800000 3: 203.800 cents 203.800000 4: 249.100 cents 249.100000 5: 317.000 cents 317.000000 6: 384.900 cents 384.900000 7: 452.800 cents 452.800000 8: 498.100 cents 498.100000 9: 566.000 cents 566.000000 10: 634.000 cents 634.000000 11: 701.900 cents 701.900000 12: 769.800 cents 769.800000 13: 815.100 cents 815.100000 14: 883.000 cents 883.000000 15: 950.900 cents 950.900000 16: 1018.900 cents 1018.900000 17: 1086.800 cents 1086.800000 18: 1132.100 cents 1132.100000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 67.9000 cents 67.9000 1: 67.9000 cents 67.9000 2: 67.9000 cents 67.9000 3: 68.0000 cents 68.0000 4: 45.3000 cents 45.3000 5: 67.9000 cents 67.9000 6: 67.9000 cents 67.9000 7: 67.9000 cents 67.9000 8: 45.3000 cents 45.3000 9: 67.9000 cents 67.9000 10: 68.0000 cents 68.0000 11: 67.9000 cents 67.9000 12: 67.9000 cents 67.9000 13: 45.3000 cents 45.3000 14: 67.9000 cents 67.9000 15: 67.9000 cents 67.9000 16: 68.0000 cents 68.0000 17: 67.9000 cents 67.9000 18: 45.3000 cents 45.3000 19: 67.9000 cents 67.9000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 45.30000 cents 1: 12 67.90000 cents 1: 3 68.00000 cents 2: 7 113.20000 cents 2: 1 113.30000 cents 2: 6 135.80000 cents 2: 5 135.90000 cents 3: 8 181.10000 cents 3: 4 181.20000 cents 3: 2 203.70000 cents 3: 5 203.80000 cents 4: 7 249.00000 cents 4: 9 249.10000 cents 4: 3 271.70000 cents 5: 1 294.30000 cents 5: 3 316.90000 cents 5: 15 317.00000 cents 6: 1 362.20000 cents 6: 4 362.30000 cents 6: 14 384.90000 cents 7: 9 430.20000 cents 7: 8 452.80000 cents 7: 2 452.90000 cents 8: 11 498.10000 cents 8: 2 498.20000 cents 8: 3 520.70000 cents 8: 3 520.80000 cents 9: 11 566.00000 cents 9: 6 566.10000 cents 9: 2 588.70000 cents 10: 2 611.30000 cents 10: 6 633.90000 cents 10: 11 634.00000 cents 11: 3 679.20000 cents 11: 3 679.30000 cents 11: 2 701.80000 cents 11: 11 701.90000 cents 12: 2 747.10000 cents 12: 8 747.20000 cents 12: 9 769.80000 cents 13: 14 815.10000 cents 13: 4 837.70000 cents 13: 1 837.80000 cents 14: 15 883.00000 cents 14: 3 883.10000 cents 14: 1 905.70000 cents 15: 3 928.30000 cents 15: 9 950.90000 cents 15: 7 951.00000 cents 16: 5 996.20000 cents 16: 2 996.30000 cents 16: 4 1018.80000 cents 16: 8 1018.90000 cents 17: 5 1064.10000 cents 17: 6 1064.20000 cents 17: 1 1086.70000 cents 17: 7 1086.80000 cents 18: 3 1132.00000 cents 18: 12 1132.10000 cents 18: 4 1154.70000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
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 : 67.9 135.8 203.8 249.1 317.0 384.9 452.8 498.1 566.0 634.0 701.9 769.8 815.1 883.0 950.9 1018.9 1086.8 1132.1 1200.0 67.9 : 67.9 135.9 181.2 249.1 317.0 384.9 430.2 498.1 566.1 634.0 701.9 747.2 815.1 883.0 951.0 1018.9 1064.2 1132.1 1200.0 135.8 : 68.0 113.3 181.2 249.1 317.0 362.3 430.2 498.2 566.1 634.0 679.3 747.2 815.1 883.1 951.0 996.3 1064.2 1132.1 1200.0 203.8 : 45.3 113.2 181.1 249.0 294.3 362.2 430.2 498.1 566.0 611.3 679.2 747.1 815.1 883.0 928.3 996.2 1064.1 1132.0 1200.0 249.1 : 67.9 135.8 203.7 249.0 316.9 384.9 452.8 520.7 566.0 633.9 701.8 769.8 837.7 883.0 950.9 1018.8 1086.7 1154.7 1200.0 317.0 : 67.9 135.8 181.1 249.0 317.0 384.9 452.8 498.1 566.0 633.9 701.9 769.8 815.1 883.0 950.9 1018.8 1086.8 1132.1 1200.0 384.9 : 67.9 113.2 181.1 249.1 317.0 384.9 430.2 498.1 566.0 634.0 701.9 747.2 815.1 883.0 950.9 1018.9 1064.2 1132.1 1200.0 452.8 : 45.3 113.2 181.2 249.1 317.0 362.3 430.2 498.1 566.1 634.0 679.3 747.2 815.1 883.0 951.0 996.3 1064.2 1132.1 1200.0 498.1 : 67.9 135.9 203.8 271.7 317.0 384.9 452.8 520.8 588.7 634.0 701.9 769.8 837.7 905.7 951.0 1018.9 1086.8 1154.7 1200.0 566.0 : 68.0 135.9 203.8 249.1 317.0 384.9 452.9 520.8 566.1 634.0 701.9 769.8 837.8 883.1 951.0 1018.9 1086.8 1132.1 1200.0 634.0 : 67.9 135.8 181.1 249.0 316.9 384.9 452.8 498.1 566.0 633.9 701.8 769.8 815.1 883.0 950.9 1018.8 1064.1 1132.0 1200.0 701.9 : 67.9 113.2 181.1 249.0 317.0 384.9 430.2 498.1 566.0 633.9 701.9 747.2 815.1 883.0 950.9 996.2 1064.1 1132.1 1200.0 769.8 : 45.3 113.2 181.1 249.1 317.0 362.3 430.2 498.1 566.0 634.0 679.3 747.2 815.1 883.0 928.3 996.2 1064.2 1132.1 1200.0 815.1 : 67.9 135.8 203.8 271.7 317.0 384.9 452.8 520.7 588.7 634.0 701.9 769.8 837.7 883.0 950.9 1018.9 1086.8 1154.7 1200.0 883.0 : 67.9 135.9 203.8 249.1 317.0 384.9 452.8 520.8 566.1 634.0 701.9 769.8 815.1 883.0 951.0 1018.9 1086.8 1132.1 1200.0 950.9 : 68.0 135.9 181.2 249.1 317.0 384.9 452.9 498.2 566.1 634.0 701.9 747.2 815.1 883.1 951.0 1018.9 1064.2 1132.1 1200.0 1018.9: 67.9 113.2 181.1 249.0 316.9 384.9 430.2 498.1 566.0 633.9 679.2 747.1 815.1 883.0 950.9 996.2 1064.1 1132.0 1200.0 1086.8: 45.3 113.2 181.1 249.0 317.0 362.3 430.2 498.1 566.0 611.3 679.2 747.2 815.1 883.0 928.3 996.2 1064.1 1132.1 1200.0 1132.1: 67.9 135.8 203.7 271.7 317.0 384.9 452.8 520.7 566.0 633.9 701.9 769.8 837.7 883.0 950.9 1018.8 1086.8 1154.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 45.3000 .. 68.0000 cents 22.70000 cents 45.30000 cents 2: 113.2000 .. 135.9000 cents 22.70000 cents 45.20000 cents 3: 181.1000 .. 203.8000 cents 22.70000 cents 45.20000 cents 4: 249.0000 .. 271.7000 cents 22.70000 cents 45.20000 cents 5: 294.3000 .. 317.0000 cents 22.70000 cents 22.60000 cents 6: 362.2000 .. 384.9000 cents 22.70000 cents 45.20000 cents 7: 430.2000 .. 452.9000 cents 22.70000 cents 45.30000 cents 8: 498.1000 .. 520.8000 cents 22.70000 cents 45.20000 cents 9: 566.0000 .. 588.7000 cents 22.70000 cents 45.20000 cents 10: 611.3000 .. 634.0000 cents 22.70000 cents 22.60000 cents 11: 679.2000 .. 701.9000 cents 22.70000 cents 45.20000 cents 12: 747.1000 .. 769.8000 cents 22.70000 cents 45.20000 cents 13: 815.1000 .. 837.8000 cents 22.70000 cents 45.30000 cents 14: 883.0000 .. 905.7000 cents 22.70000 cents 45.20000 cents 15: 928.3000 .. 951.0000 cents 22.70000 cents 22.60000 cents 16: 996.2000 .. 1018.9000 cents 22.70000 cents 45.20000 cents 17: 1064.1000 .. 1086.8000 cents 22.70000 cents 45.20000 cents 18: 1132.0000 .. 1154.7000 cents 22.70000 cents 45.20000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 45.30000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 68.00000 cents Average / Smallest step : 1.394214 Largest / Average step : 1.076667 Largest / Smallest step : 1.501104 Median interval of one step : 67.90000 cents, amount: 12 Most common interval of one step : 67.90000 cents, amount: 12 Least squares average step : 63.38713 cents, oct.: 1204.35538 cents Scale is strictly proper Step pattern alph. order: AABCAAACABAACAABACA Step pattern size order : MMLSMMMSMLMMSMMLMSM Scale is a Constant Structure, by a margin of 22.60000 cents Scale diversity : 1.189152 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.659500 Number of different interval sizes : 60 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 317.00000 cents & inv., amount: 15 Most common triad is 0.0 317.000 883.000 cents, amount: 11 Number of recognisable fifths : 13, average 701.8846 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 : 13 = 68.4211% Limited inverse transpositions : 11 Inversional symmetry on degrees : 15 Inversional symmetry on intervals : 5-6 -- 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: 7.4393 c. M: 14.3263 c. 34: 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 P M ME S SD: 4.1615 c. M:-7.9647 c. 53: 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 3 2 3 SP M ME S SD: 0.0273 c. M:-0.0491 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0275 cents 3 .. 6 match: 3 H SD: 0.4533 cents 4 .. 8 match: 4 H SD: 4.4954 cents 5 .. 10 match: 5 H SD: 3.3358 cents 6 .. 12 match: 6 H SD: 5.8823 cents 7 .. 14 match: 7 H SD: 5.7369 cents 8 .. 16 match: 8 H SD: 4.3078 cents 9 .. 18 match: 9 H SD: 5.1379 cents 10 .. 20 match: 10 H SD: 5.1093 cents 11 .. 22 match: 11 H SD: 6.2601 cents 12 .. 24 match: 12 H SD: 4.5284 cents 13 .. 26 match: 13 H SD: 5.1990 cents 14 .. 28 match: 14 H SD: 4.5112 cents 15 .. 30 match: 15 H SD: 3.9301 cents 16 .. 32 match: 16 H SD: 3.7950 cents 17 .. 34 match: 16 SD: 5.7414 cents 18 .. 36 match: 17 S SD: 3.9477 cents 19 .. 38 match: 16 SD: 4.9947 cents 20 .. 40 match: 18 SD: 3.3419 cents 21 .. 42 match: 18 S SD: 3.6013 cents 22 .. 44 match: 17 SD: 4.1097 cents 23 .. 46 match: 19 SD: 3.2063 cents 24 .. 48 match: 19 SD: 2.5615 cents 28 .. 56 match: 18 SD: 3.0832 cents 29 .. 58 match: 18 SD: 2.9456 cents 30 .. 60 match: 19 SD: 2.4910 cents 33 .. 66 match: 19 SD: 2.4550 cents 34 .. 68 match: 19 SD: 2.2975 cents 36 .. 72 match: 19 SD: 2.2284 cents 39 .. 78 match: 19 SD: 1.9332 cents 40 .. 80 match: 19 SD: 1.7803 cents 45 .. 90 match: 19 SD: 1.6898 cents 46 .. 92 match: 19 SD: 1.6851 cents 47 .. 94 match: 19 SD: 1.6645 cents 48 .. 96 match: 19 SD: 1.4089 cents 50 .. 100 match: 19 SD: 1.2686 cents 63 .. 126 match: 19 SD: 1.2606 cents 64 .. 128 match: 19 SD: 1.1007 cents 70 .. 140 match: 19 SD: 0.9410 cents 80 .. 160 match: 19 SD: 0.8828 cents 90 .. 180 match: 19 SD: 0.7749 cents 96 .. 192 match: 19 SD: 0.6167 cents 120 .. 240 match: 19 SD: 0.4826 cents 144 .. 288 match: 19 SD: 0.4637 cents 150 .. 300 match: 19 SD: 0.3898 cents 168 .. 336 match: 19 SD: 0.3262 cents 220 .. 440 match: 19 SD: 0.3119 cents 224 .. 448 match: 19 SD: 0.3048 cents 245 .. 490 match: 19 SD: 0.2944 cents 246 .. 492 match: 19 SD: 0.2599 cents 248 .. 496 match: 19 SD: 0.2597 cents 258 .. 516 match: 19 SD: 0.2350 cents 298 .. 596 match: 19 SD: 0.1908 cents 328 .. 656 match: 19 SD: 0.1850 cents 354 .. 708 match: 19 SD: 0.1663 cents 394 .. 788 match: 19 SD: 0.1651 cents 402 .. 804 match: 19 SD: 0.1514 cents 418 .. 836 match: 19 SD: 0.1388 cents 466 .. 932 match: 19 SD: 0.1379 cents 478 .. 956 match: 19 SD: 0.1285 cents 502 .. 1004 match: 19 SD: 0.1206 cents 504 .. 1008 match: 19 SD: 0.1162 cents 522 .. 1044 match: 19 SD: 0.1065 cents 600 .. 1200 match: 19 SD: 0.1021 cents