Scala analysis: xen07-chalmers-19-31-equal
19 of 31-Equal
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 77.400 cents 77.400000 2: 116.100 cents 116.100000 3: 193.500 cents 193.500000 4: 271.000 cents 271.000000 5: 309.700 cents 309.700000 6: 387.100 cents 387.100000 7: 464.500 cents 464.500000 8: 503.200 cents 503.200000 9: 580.600 cents 580.600000 10: 619.400 cents 619.400000 11: 696.800 cents 696.800000 12: 774.200 cents 774.200000 13: 812.900 cents 812.900000 14: 890.300 cents 890.300000 15: 967.700 cents 967.700000 16: 1006.500 cents 1006.500000 17: 1083.900 cents 1083.900000 18: 1161.300 cents 1161.300000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 38.7000 cents 38.7000 1: 77.4000 cents 77.4000 2: 38.7000 cents 38.7000 3: 77.4000 cents 77.4000 4: 77.5000 cents 77.5000 5: 38.7000 cents 38.7000 6: 77.4000 cents 77.4000 7: 77.4000 cents 77.4000 8: 38.7000 cents 38.7000 9: 77.4000 cents 77.4000 10: 38.8000 cents 38.8000 11: 77.4000 cents 77.4000 12: 77.4000 cents 77.4000 13: 38.7000 cents 38.7000 14: 77.4000 cents 77.4000 15: 77.4000 cents 77.4000 16: 38.8000 cents 38.8000 17: 77.4000 cents 77.4000 18: 77.4000 cents 77.4000 19: 38.7000 cents 38.7000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 38.70000 cents 1: 2 38.80000 cents 1: 11 77.40000 cents 1: 1 77.50000 cents 2: 9 116.10000 cents 2: 5 116.20000 cents 2: 4 154.80000 cents 2: 1 154.90000 cents 3: 1 154.80000 cents 3: 1 154.90000 cents 3: 9 193.50000 cents 3: 8 193.60000 cents 4: 3 232.20000 cents 4: 6 232.30000 cents 4: 4 270.90000 cents 4: 6 271.00000 cents 5: 3 309.60000 cents 5: 13 309.70000 cents 5: 1 348.30000 cents 5: 2 348.40000 cents 6: 4 348.40000 cents 6: 1 387.00000 cents 6: 14 387.10000 cents 7: 9 425.80000 cents 7: 2 425.90000 cents 7: 8 464.50000 cents 8: 13 503.20000 cents 8: 5 503.30000 cents 8: 1 541.90000 cents 9: 3 541.90000 cents 9: 3 542.00000 cents 9: 8 580.60000 cents 9: 5 580.70000 cents 10: 5 619.30000 cents 10: 8 619.40000 cents 10: 3 658.00000 cents 10: 3 658.10000 cents 11: 1 658.10000 cents 11: 5 696.70000 cents 11: 13 696.80000 cents 12: 8 735.50000 cents 12: 2 774.10000 cents 12: 9 774.20000 cents 13: 14 812.90000 cents 13: 1 813.00000 cents 13: 4 851.60000 cents 14: 2 851.60000 cents 14: 1 851.70000 cents 14: 13 890.30000 cents 14: 3 890.40000 cents 15: 6 929.00000 cents 15: 4 929.10000 cents 15: 6 967.70000 cents 15: 3 967.80000 cents 16: 8 1006.40000 cents 16: 9 1006.50000 cents 16: 1 1045.10000 cents 16: 1 1045.20000 cents 17: 1 1045.10000 cents 17: 4 1045.20000 cents 17: 5 1083.80000 cents 17: 9 1083.90000 cents 18: 1 1122.50000 cents 18: 11 1122.60000 cents 18: 2 1161.20000 cents 18: 5 1161.30000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.66667 = 11/3
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 : 77.4 116.1 193.5 271.0 309.7 387.1 464.5 503.2 580.6 619.4 696.8 774.2 812.9 890.3 967.7 1006.5 1083.9 1161.3 1200.0 77.4 : 38.7 116.1 193.6 232.3 309.7 387.1 425.8 503.2 542.0 619.4 696.8 735.5 812.9 890.3 929.1 1006.5 1083.9 1122.6 1200.0 116.1 : 77.4 154.9 193.6 271.0 348.4 387.1 464.5 503.3 580.7 658.1 696.8 774.2 851.6 890.4 967.8 1045.2 1083.9 1161.3 1200.0 193.5 : 77.5 116.2 193.6 271.0 309.7 387.1 425.9 503.3 580.7 619.4 696.8 774.2 813.0 890.4 967.8 1006.5 1083.9 1122.6 1200.0 271.0 : 38.7 116.1 193.5 232.2 309.6 348.4 425.8 503.2 541.9 619.3 696.7 735.5 812.9 890.3 929.0 1006.4 1045.1 1122.5 1200.0 309.7 : 77.4 154.8 193.5 270.9 309.7 387.1 464.5 503.2 580.6 658.0 696.8 774.2 851.6 890.3 967.7 1006.4 1083.8 1161.3 1200.0 387.1 : 77.4 116.1 193.5 232.3 309.7 387.1 425.8 503.2 580.6 619.4 696.8 774.2 812.9 890.3 929.0 1006.4 1083.9 1122.6 1200.0 464.5 : 38.7 116.1 154.9 232.3 309.7 348.4 425.8 503.2 542.0 619.4 696.8 735.5 812.9 851.6 929.0 1006.5 1045.2 1122.6 1200.0 503.2 : 77.4 116.2 193.6 271.0 309.7 387.1 464.5 503.3 580.7 658.1 696.8 774.2 812.9 890.3 967.8 1006.5 1083.9 1161.3 1200.0 580.6 : 38.8 116.2 193.6 232.3 309.7 387.1 425.9 503.3 580.7 619.4 696.8 735.5 812.9 890.4 929.1 1006.5 1083.9 1122.6 1200.0 619.4 : 77.4 154.8 193.5 270.9 348.3 387.1 464.5 541.9 580.6 658.0 696.7 774.1 851.6 890.3 967.7 1045.1 1083.8 1161.2 1200.0 696.8 : 77.4 116.1 193.5 270.9 309.7 387.1 464.5 503.2 580.6 619.3 696.7 774.2 812.9 890.3 967.7 1006.4 1083.8 1122.6 1200.0 774.2 : 38.7 116.1 193.5 232.3 309.7 387.1 425.8 503.2 541.9 619.3 696.8 735.5 812.9 890.3 929.0 1006.4 1045.2 1122.6 1200.0 812.9 : 77.4 154.8 193.6 271.0 348.4 387.1 464.5 503.2 580.6 658.1 696.8 774.2 851.6 890.3 967.7 1006.5 1083.9 1161.3 1200.0 890.3 : 77.4 116.2 193.6 271.0 309.7 387.1 425.8 503.2 580.7 619.4 696.8 774.2 812.9 890.3 929.1 1006.5 1083.9 1122.6 1200.0 967.7 : 38.8 116.2 193.6 232.3 309.7 348.4 425.8 503.3 542.0 619.4 696.8 735.5 812.9 851.7 929.1 1006.5 1045.2 1122.6 1200.0 1006.5: 77.4 154.8 193.5 270.9 309.6 387.0 464.5 503.2 580.6 658.0 696.7 774.1 812.9 890.3 967.7 1006.4 1083.8 1161.2 1200.0 1083.9: 77.4 116.1 193.5 232.2 309.6 387.1 425.8 503.2 580.6 619.3 696.7 735.5 812.9 890.3 929.0 1006.4 1083.8 1122.6 1200.0 1161.3: 38.7 116.1 154.8 232.2 309.7 348.4 425.8 503.2 541.9 619.3 658.1 735.5 812.9 851.6 929.0 1006.4 1045.2 1122.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 38.7000 .. 77.5000 cents 38.80000 cents 38.70000 cents 2: 116.1000 .. 154.9000 cents 38.80000 cents 38.60000 cents 3: 154.8000 .. 193.6000 cents 38.80000 cents -0.10000 cents 4: 232.2000 .. 271.0000 cents 38.80000 cents 38.60000 cents 5: 309.6000 .. 348.4000 cents 38.80000 cents 38.60000 cents 6: 348.4000 .. 387.1000 cents 38.70000 cents 1/1, 0.0000 cents 7: 425.8000 .. 464.5000 cents 38.70000 cents 38.70000 cents 8: 503.2000 .. 541.9000 cents 38.70000 cents 38.70000 cents 9: 541.9000 .. 580.7000 cents 38.80000 cents 1/1, 0.0000 cents 10: 619.3000 .. 658.1000 cents 38.80000 cents 38.60000 cents 11: 658.1000 .. 696.8000 cents 38.70000 cents 1/1, 0.0000 cents 12: 735.5000 .. 774.2000 cents 38.70000 cents 38.70000 cents 13: 812.9000 .. 851.6000 cents 38.70000 cents 38.70000 cents 14: 851.6000 .. 890.4000 cents 38.80000 cents 1/1, 0.0000 cents 15: 929.0000 .. 967.8000 cents 38.80000 cents 38.60000 cents 16: 1006.4000 .. 1045.2000 cents 38.80000 cents 38.60000 cents 17: 1045.1000 .. 1083.9000 cents 38.80000 cents -0.10000 cents 18: 1122.5000 .. 1161.3000 cents 38.80000 cents 38.60000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 38.70000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 77.50000 cents Average / Smallest step : 1.631987 Largest / Average step : 1.227083 Largest / Smallest step : 2.002584 Median interval of one step : 77.40000 cents, amount: 11 Most common interval of one step : 77.40000 cents, amount: 11 Least squares average step : 63.67530 cents, oct.: 1209.83077 cents Scale is not proper Step pattern alph. order: ABACBAABADAABAADAAB Step pattern size order : CACDACCACBCCACCBCCA Scale is not a Constant Structure Scale diversity : 1.167846 Lumma stability : 0.418667 Lumma impropriety factor : 0.000167 Number of different interval sizes : 58 = 3.22222 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.66667 = 11/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 387.10000 cents & inv., amount: 14 Number of recognisable fifths : 18, average 696.7722 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 13 = 68.4211% Limited inverse transpositions : 9 Inversional symmetry on degrees : 14 Inversional symmetry on intervals : 4-5 -- 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: 12.7167 c. M: 24.4579 c. 26: 2 1 1 2 1 1 2 1 2 0 2 2 1 1 2 1 2 1 1 N D3 SD: 13.4674 c. M:-23.7923 c. 27: 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2 1 1 2 1 P D3 S SD: 12.3243 c. M: 20.0556 c. 29: 2 1 2 2 0 2 2 1 2 1 2 2 1 2 1 1 2 2 1 N D3 SD: 11.8879 c. M:-20.0448 c. 31: 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 P M ME S SD: 0.0294 c. M: 0.0484 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.5775 cents 3 .. 6 match: 3 H SD: 2.6220 cents 4 .. 8 match: 4 H SD: 1.3337 cents 5 .. 10 match: 5 H SD: 2.5511 cents 6 .. 12 match: 6 H SD: 6.0053 cents 7 .. 14 match: 7 H SD: 8.6908 cents 8 .. 16 match: 8 H SD: 5.2688 cents 9 .. 18 match: 9 H SD: 5.4341 cents 10 .. 20 match: 10 H SD: 5.1532 cents 11 .. 22 match: 11 H SD: 8.5423 cents 12 .. 24 match: 12 H SD: 4.9990 cents 13 .. 26 match: 13 H SD: 6.1538 cents 14 .. 28 match: 14 H SD: 5.8181 cents 15 .. 30 match: 15 H SD: 4.3355 cents 16 .. 32 match: 16 H SD: 3.5407 cents 17 .. 34 match: 14 SD: 4.5651 cents 18 .. 36 match: 17 S SD: 4.2412 cents 19 .. 38 match: 15 SD: 3.9953 cents 20 .. 40 match: 18 SD: 3.5162 cents 21 .. 42 match: 17 SD: 4.0914 cents 22 .. 44 match: 16 SD: 4.3960 cents 23 .. 46 match: 19 SD: 3.2255 cents 24 .. 48 match: 17 SD: 2.7271 cents 25 .. 50 match: 18 SD: 2.4795 cents 27 .. 54 match: 18 SD: 2.7223 cents 28 .. 56 match: 17 SD: 2.3287 cents 29 .. 58 match: 18 SD: 3.0154 cents 30 .. 60 match: 19 SD: 2.4757 cents 31 .. 62 match: 18 SD: 3.0036 cents 32 .. 64 match: 19 SD: 2.4336 cents 33 .. 66 match: 17 SD: 2.3023 cents 34 .. 68 match: 18 SD: 2.9443 cents 35 .. 70 match: 18 SD: 2.1362 cents 39 .. 78 match: 19 SD: 2.0783 cents 40 .. 80 match: 19 SD: 1.7477 cents 41 .. 82 match: 19 SD: 1.7472 cents 42 .. 84 match: 19 SD: 1.5066 cents 48 .. 96 match: 19 SD: 1.4186 cents 58 .. 116 match: 19 SD: 1.3977 cents 59 .. 118 match: 19 SD: 1.3558 cents 60 .. 120 match: 19 SD: 1.0715 cents 67 .. 134 match: 19 SD: 1.0341 cents 68 .. 136 match: 19 SD: 1.0027 cents 71 .. 142 match: 19 SD: 0.9327 cents 83 .. 166 match: 19 SD: 0.8049 cents 85 .. 170 match: 19 SD: 0.7842 cents 88 .. 176 match: 19 SD: 0.7529 cents 100 .. 200 match: 19 SD: 0.7237 cents 101 .. 202 match: 19 SD: 0.7035 cents 103 .. 206 match: 19 SD: 0.6970 cents 107 .. 214 match: 19 SD: 0.6026 cents 113 .. 226 match: 19 SD: 0.5728 cents 128 .. 256 match: 19 SD: 0.4769 cents 153 .. 306 match: 19 SD: 0.4349 cents 159 .. 318 match: 19 SD: 0.4195 cents 160 .. 320 match: 19 SD: 0.3795 cents 172 .. 344 match: 19 SD: 0.3785 cents 175 .. 350 match: 19 SD: 0.3684 cents 184 .. 368 match: 19 SD: 0.3669 cents 195 .. 390 match: 19 SD: 0.3252 cents 204 .. 408 match: 19 SD: 0.3224 cents 214 .. 428 match: 19 SD: 0.3129 cents 220 .. 440 match: 19 SD: 0.2985 cents 244 .. 488 match: 19 SD: 0.2551 cents 260 .. 520 match: 19 SD: 0.2320 cents 287 .. 574 match: 19 SD: 0.2269 cents 302 .. 604 match: 19 SD: 0.1981 cents 331 .. 662 match: 19 SD: 0.1795 cents 347 .. 694 match: 19 SD: 0.1475 cents 454 .. 908 match: 19 SD: 0.1450 cents 474 .. 948 match: 19 SD: 0.1263 cents 507 .. 1014 match: 19 SD: 0.0970 cents