Scala analysis: xen07-chalmers-fifth-comma
19 of 1/5 Comma
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 83.600 cents 83.600000 2: 111.700 cents 111.700000 3: 195.300 cents 195.300000 4: 278.900 cents 278.900000 5: 307.000 cents 307.000000 6: 390.600 cents 390.600000 7: 474.200 cents 474.200000 8: 502.300 cents 502.300000 9: 585.900 cents 585.900000 10: 614.100 cents 614.100000 11: 697.700 cents 697.700000 12: 781.200 cents 781.200000 13: 809.400 cents 809.400000 14: 893.000 cents 893.000000 15: 976.500 cents 976.500000 16: 1004.700 cents 1004.700000 17: 1088.300 cents 1088.300000 18: 1171.800 cents 1171.800000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 28.2000 cents 28.2000 1: 83.6000 cents 83.6000 2: 28.1000 cents 28.1000 3: 83.6000 cents 83.6000 4: 83.6000 cents 83.6000 5: 28.1000 cents 28.1000 6: 83.6000 cents 83.6000 7: 83.6000 cents 83.6000 8: 28.1000 cents 28.1000 9: 83.6000 cents 83.6000 10: 28.2000 cents 28.2000 11: 83.6000 cents 83.6000 12: 83.5000 cents 83.5000 13: 28.2000 cents 28.2000 14: 83.6000 cents 83.6000 15: 83.5000 cents 83.5000 16: 28.2000 cents 28.2000 17: 83.6000 cents 83.6000 18: 83.5000 cents 83.5000 19: 28.2000 cents 28.2000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 28.10000 cents 1: 4 28.20000 cents 1: 3 83.50000 cents 1: 9 83.60000 cents 2: 9 111.70000 cents 2: 5 111.80000 cents 2: 3 167.10000 cents 2: 2 167.20000 cents 3: 2 139.90000 cents 3: 16 195.30000 cents 3: 1 195.40000 cents 4: 3 223.40000 cents 4: 6 223.50000 cents 4: 2 278.80000 cents 4: 8 278.90000 cents 5: 9 307.00000 cents 5: 7 307.10000 cents 5: 2 362.40000 cents 5: 1 362.50000 cents 6: 4 335.20000 cents 6: 13 390.60000 cents 6: 2 390.70000 cents 7: 3 418.70000 cents 7: 8 418.80000 cents 7: 1 474.10000 cents 7: 7 474.20000 cents 8: 9 502.30000 cents 8: 9 502.40000 cents 8: 1 557.70000 cents 9: 6 530.50000 cents 9: 10 585.90000 cents 9: 3 586.00000 cents 10: 3 614.00000 cents 10: 10 614.10000 cents 10: 6 669.50000 cents 11: 1 642.30000 cents 11: 9 697.60000 cents 11: 9 697.70000 cents 12: 7 725.80000 cents 12: 1 725.90000 cents 12: 8 781.20000 cents 12: 3 781.30000 cents 13: 2 809.30000 cents 13: 13 809.40000 cents 13: 4 864.80000 cents 14: 1 837.50000 cents 14: 2 837.60000 cents 14: 7 892.90000 cents 14: 9 893.00000 cents 15: 8 921.10000 cents 15: 2 921.20000 cents 15: 6 976.50000 cents 15: 3 976.60000 cents 16: 1 1004.60000 cents 16: 16 1004.70000 cents 16: 2 1060.10000 cents 17: 2 1032.80000 cents 17: 3 1032.90000 cents 17: 5 1088.20000 cents 17: 9 1088.30000 cents 18: 9 1116.40000 cents 18: 3 1116.50000 cents 18: 4 1171.80000 cents 18: 3 1171.90000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.55556 = 32/9
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 : 83.6 111.7 195.3 278.9 307.0 390.6 474.2 502.3 585.9 614.1 697.7 781.2 809.4 893.0 976.5 1004.7 1088.3 1171.8 1200.0 83.6 : 28.1 111.7 195.3 223.4 307.0 390.6 418.7 502.3 530.5 614.1 697.6 725.8 809.4 892.9 921.1 1004.7 1088.2 1116.4 1200.0 111.7 : 83.6 167.2 195.3 278.9 362.5 390.6 474.2 502.4 586.0 669.5 697.7 781.3 864.8 893.0 976.6 1060.1 1088.3 1171.9 1200.0 195.3 : 83.6 111.7 195.3 278.9 307.0 390.6 418.8 502.4 585.9 614.1 697.7 781.2 809.4 893.0 976.5 1004.7 1088.3 1116.4 1200.0 278.9 : 28.1 111.7 195.3 223.4 307.0 335.2 418.8 502.3 530.5 614.1 697.6 725.8 809.4 892.9 921.1 1004.7 1032.8 1116.4 1200.0 307.0 : 83.6 167.2 195.3 278.9 307.1 390.7 474.2 502.4 586.0 669.5 697.7 781.3 864.8 893.0 976.6 1004.7 1088.3 1171.9 1200.0 390.6 : 83.6 111.7 195.3 223.5 307.1 390.6 418.8 502.4 585.9 614.1 697.7 781.2 809.4 893.0 921.1 1004.7 1088.3 1116.4 1200.0 474.2 : 28.1 111.7 139.9 223.5 307.0 335.2 418.8 502.3 530.5 614.1 697.6 725.8 809.4 837.5 921.1 1004.7 1032.8 1116.4 1200.0 502.3 : 83.6 111.8 195.4 278.9 307.1 390.7 474.2 502.4 586.0 669.5 697.7 781.3 809.4 893.0 976.6 1004.7 1088.3 1171.9 1200.0 585.9 : 28.2 111.8 195.3 223.5 307.1 390.6 418.8 502.4 585.9 614.1 697.7 725.8 809.4 893.0 921.1 1004.7 1088.3 1116.4 1200.0 614.1 : 83.6 167.1 195.3 278.9 362.4 390.6 474.2 557.7 585.9 669.5 697.6 781.2 864.8 892.9 976.5 1060.1 1088.2 1171.8 1200.0 697.7 : 83.5 111.7 195.3 278.8 307.0 390.6 474.1 502.3 585.9 614.0 697.6 781.2 809.3 892.9 976.5 1004.6 1088.2 1116.4 1200.0 781.2 : 28.2 111.8 195.3 223.5 307.1 390.6 418.8 502.4 530.5 614.1 697.7 725.8 809.4 893.0 921.1 1004.7 1032.9 1116.5 1200.0 809.4 : 83.6 167.1 195.3 278.9 362.4 390.6 474.2 502.3 585.9 669.5 697.6 781.2 864.8 892.9 976.5 1004.7 1088.3 1171.8 1200.0 893.0 : 83.5 111.7 195.3 278.8 307.0 390.6 418.7 502.3 585.9 614.0 697.6 781.2 809.3 892.9 921.1 1004.7 1088.2 1116.4 1200.0 976.5 : 28.2 111.8 195.3 223.5 307.1 335.2 418.8 502.4 530.5 614.1 697.7 725.8 809.4 837.6 921.2 1004.7 1032.9 1116.5 1200.0 1004.7: 83.6 167.1 195.3 278.9 307.0 390.6 474.2 502.3 585.9 669.5 697.6 781.2 809.4 893.0 976.5 1004.7 1088.3 1171.8 1200.0 1088.3: 83.5 111.7 195.3 223.4 307.0 390.6 418.7 502.3 585.9 614.0 697.6 725.8 809.4 892.9 921.1 1004.7 1088.2 1116.4 1200.0 1171.8: 28.2 111.8 139.9 223.5 307.1 335.2 418.8 502.4 530.5 614.1 642.3 725.9 809.4 837.6 921.2 1004.7 1032.9 1116.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 28.1000 .. 83.6000 cents 55.50000 cents 28.10000 cents 2: 111.7000 .. 167.2000 cents 55.50000 cents 28.10000 cents 3: 139.9000 .. 195.4000 cents 55.50000 cents -27.30000 cents 4: 223.4000 .. 278.9000 cents 55.50000 cents 28.00000 cents 5: 307.0000 .. 362.5000 cents 55.50000 cents 28.10000 cents 6: 335.2000 .. 390.7000 cents 55.50000 cents -27.30000 cents 7: 418.7000 .. 474.2000 cents 55.50000 cents 28.00000 cents 8: 502.3000 .. 557.7000 cents 55.40000 cents 28.10000 cents 9: 530.5000 .. 586.0000 cents 55.50000 cents -27.20000 cents 10: 614.0000 .. 669.5000 cents 55.50000 cents 28.00000 cents 11: 642.3000 .. 697.7000 cents 55.40000 cents -27.20000 cents 12: 725.8000 .. 781.3000 cents 55.50000 cents 28.10000 cents 13: 809.3000 .. 864.8000 cents 55.50000 cents 28.00000 cents 14: 837.5000 .. 893.0000 cents 55.50000 cents -27.30000 cents 15: 921.1000 .. 976.6000 cents 55.50000 cents 28.10000 cents 16: 1004.6000 .. 1060.1000 cents 55.50000 cents 28.00000 cents 17: 1032.8000 .. 1088.3000 cents 55.50000 cents -27.30000 cents 18: 1116.4000 .. 1171.9000 cents 55.50000 cents 28.10000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 28.10000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 83.60000 cents Average / Smallest step : 2.247612 Largest / Average step : 1.323667 Largest / Smallest step : 2.975089 Median interval of one step : 83.50000 cents, amount: 3 Most common interval of one step : 83.60000 cents, amount: 9 Least squares average step : 63.89818 cents, oct.: 1214.06538 cents Scale is not proper Step pattern alph. order: ABAABAABACADCADCADC Step pattern size order : DADDADDADBDCBDCBDCB Scale is a Constant Structure, by a margin of 27.20000 cents Scale diversity : 1.196366 Lumma stability : 0.304000 Lumma impropriety factor : 0.136333 Number of different interval sizes : 64 = 3.55556 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.55556 = 32/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 195.30000 cents & inv., amount: 16 Most common triad is 0.0 195.300 1004.700 cents, amount: 13 Number of recognisable fifths : 18, average 697.6500 cents 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: 18.2117 c. M: 34.9579 c. 21: 1 1 1 2 0 2 1 1 1 1 1 2 0 2 1 1 1 2 0 N T3 SD: 16.4699 c. M:-28.2000 c. 22: 2 0 2 1 1 1 2 0 2 0 2 1 1 1 2 0 2 1 1 N D3 S SD: 15.7146 c. M: 26.3455 c. 23: 2 0 2 1 1 1 2 1 1 1 1 2 1 1 2 0 2 1 1 N D3 SD: 15.2948 c. M:-25.3826 c. 24: 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 N M DE S SD: 14.6568 c. M:-28.2000 c. 25: 2 0 2 2 0 2 2 0 2 1 2 1 1 2 1 1 2 1 1 N D3 SD: 13.8093 c. M:-22.3000 c. 29: 2 1 2 2 0 2 2 1 2 1 2 2 1 2 2 0 2 2 1 N SD: 12.4548 c. M: 19.0276 c. 30: 2 1 2 2 0 3 2 0 2 1 2 2 1 2 2 1 2 2 1 N SD: 14.2268 c. M: 27.0000 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: 5.4884 c. M: 10.5097 c. 43: 3 1 3 3 1 3 3 1 3 1 3 3 1 3 3 1 3 3 1 N M DE S SD: 0.1366 c. M:-0.2930 c. 633: 44 15 44 44 15 44 44 15 44 15 44 44 15 44 44 15 44 44 15 N M DE S SD: 0.1447 c. M: 0.2664 c. 676: 47 16 47 47 16 47 47 16 47 16 47 47 16 47 47 16 47 47 16 N M DE S SD: 0.1276 c. M: 0.2355 c. 719: 50 17 50 50 17 50 50 17 50 17 50 50 17 50 50 17 50 50 17 N M DE S SD: 0.1126 c. M: 0.2083 c. 762: 53 18 53 53 18 53 53 18 53 18 53 53 18 53 53 18 53 53 18 N M DE S SD: 0.0994 c. M: 0.1843 c. 805: 56 19 56 56 19 56 56 19 56 19 56 56 19 56 56 19 56 56 19 N M DE S SD: 0.0878 c. M: 0.1627 c. 848: 59 20 59 59 20 59 59 20 59 20 59 59 20 59 59 20 59 59 20 N M DE S SD: 0.0775 c. M: 0.1434 c. 891: 62 21 62 62 21 62 62 21 62 21 62 62 21 62 62 21 62 62 21 N M DE S SD: 0.0684 c. M: 0.1259 c. 934: 65 22 65 65 22 65 65 22 65 22 65 65 22 65 65 22 65 65 22 N M DE S SD: 0.0603 c. M: 0.1101 c. 977: 68 23 68 68 23 68 68 23 68 23 68 68 23 68 68 23 68 68 23 N M DE S SD: 0.0533 c. M: 0.0956 c. 1020: 71 24 71 71 24 71 71 24 71 24 71 71 24 71 71 24 71 71 24 N M DE S SD: 0.0471 c. M: 0.0824 c. 1063: 74 25 74 74 25 74 74 25 74 25 74 74 25 74 74 25 74 74 25 N M DE S SD: 0.0418 c. M: 0.0702 c. 1106: 77 26 77 77 26 77 77 26 77 26 77 77 26 77 77 26 77 77 26 N M DE S SD: 0.0375 c. M: 0.0590 c. 1149: 80 27 80 80 27 80 80 27 80 27 80 80 27 80 80 27 80 80 27 N M DE S SD: 0.0340 c. M:-0.0499 c. 1192: 83 28 83 83 28 83 83 28 83 28 83 83 28 83 83 28 83 83 28 N M DE S SD: 0.0314 c. M:-0.0490 c. 1235: 86 29 86 86 29 86 86 29 86 29 86 86 29 86 86 29 86 86 29 N M DE S SD: 0.0297 c. M:-0.0482 c. 1278: 89 30 89 89 30 89 89 30 89 30 89 89 30 89 89 30 89 89 30 N M DE S SD: 0.0289 c. M:-0.0474 c. 1321: 92 31 92 92 31 92 92 31 92 31 92 92 31 92 92 31 92 92 31 N M DE S SD: 0.0288 c. M:-0.0467 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.1275 cents 3 .. 6 match: 3 H SD: 3.2107 cents 4 .. 8 match: 4 H SD: 2.4414 cents 5 .. 10 match: 5 H SD: 3.2914 cents 6 .. 12 match: 6 H SD: 7.0152 cents 7 .. 14 match: 7 H SD: 9.8104 cents 8 .. 16 match: 8 H SD: 6.0394 cents 9 .. 18 match: 9 H SD: 5.9842 cents 10 .. 20 match: 10 H SD: 5.2802 cents 11 .. 22 match: 11 H SD: 9.0649 cents 12 .. 24 match: 11 SD: 4.8235 cents 13 .. 26 match: 12 S SD: 7.1345 cents 14 .. 28 match: 12 SD: 6.3765 cents 15 .. 30 match: 13 S SD: 4.2251 cents 16 .. 32 match: 16 H SD: 4.0777 cents 17 .. 34 match: 14 SD: 4.8421 cents 18 .. 36 match: 15 SD: 4.0298 cents 19 .. 38 match: 15 SD: 4.1622 cents 20 .. 40 match: 17 S SD: 4.0600 cents 21 .. 42 match: 16 SD: 4.2948 cents 22 .. 44 match: 13 SD: 3.5720 cents 23 .. 46 match: 18 SD: 3.4637 cents 24 .. 48 match: 16 SD: 2.8831 cents 25 .. 50 match: 18 SD: 2.8968 cents 26 .. 52 match: 17 SD: 3.2039 cents 27 .. 54 match: 16 SD: 2.9414 cents 28 .. 56 match: 17 SD: 2.4540 cents 29 .. 58 match: 17 SD: 3.2161 cents 30 .. 60 match: 19 SD: 2.7284 cents 31 .. 62 match: 16 SD: 2.7713 cents 32 .. 64 match: 17 SD: 1.7595 cents 33 .. 66 match: 17 SD: 2.0778 cents 34 .. 68 match: 16 SD: 2.3153 cents 35 .. 70 match: 18 SD: 1.9153 cents 36 .. 72 match: 16 SD: 2.2756 cents 37 .. 74 match: 17 SD: 2.2292 cents 38 .. 76 match: 18 SD: 2.3142 cents 39 .. 78 match: 19 SD: 2.1412 cents 40 .. 80 match: 18 SD: 1.5942 cents 41 .. 82 match: 18 SD: 1.8080 cents 42 .. 84 match: 19 SD: 1.3682 cents 43 .. 86 match: 17 SD: 1.9735 cents 44 .. 88 match: 19 SD: 1.7159 cents 45 .. 90 match: 19 SD: 1.6662 cents 47 .. 94 match: 19 SD: 1.4067 cents 51 .. 102 match: 18 SD: 1.4865 cents 52 .. 104 match: 18 SD: 1.5288 cents 56 .. 112 match: 19 SD: 1.2737 cents 57 .. 114 match: 19 SD: 1.1535 cents 62 .. 124 match: 19 SD: 1.1002 cents 74 .. 148 match: 19 SD: 0.9517 cents 75 .. 150 match: 19 SD: 0.9292 cents 79 .. 158 match: 19 SD: 0.9186 cents 86 .. 172 match: 19 SD: 0.8083 cents 92 .. 184 match: 19 SD: 0.7532 cents 99 .. 198 match: 19 SD: 0.6731 cents 102 .. 204 match: 19 SD: 0.6253 cents 107 .. 214 match: 19 SD: 0.6230 cents 119 .. 238 match: 19 SD: 0.4925 cents 149 .. 298 match: 19 SD: 0.4241 cents 161 .. 322 match: 19 SD: 0.3943 cents 166 .. 332 match: 19 SD: 0.3728 cents 181 .. 362 match: 19 SD: 0.3225 cents 216 .. 432 match: 19 SD: 0.3086 cents 225 .. 450 match: 19 SD: 0.2955 cents 226 .. 452 match: 19 SD: 0.2871 cents 228 .. 456 match: 19 SD: 0.2836 cents 240 .. 480 match: 19 SD: 0.2725 cents 258 .. 516 match: 19 SD: 0.2284 cents 268 .. 536 match: 19 SD: 0.2188 cents 320 .. 640 match: 19 SD: 0.2076 cents 342 .. 684 match: 19 SD: 0.1948 cents 345 .. 690 match: 19 SD: 0.1800 cents 360 .. 720 match: 19 SD: 0.1677 cents 403 .. 806 match: 19 SD: 0.1624 cents 407 .. 814 match: 19 SD: 0.1456 cents 463 .. 926 match: 19 SD: 0.1252 cents 470 .. 940 match: 19 SD: 0.1243 cents 510 .. 1020 match: 19 SD: 0.1243 cents 526 .. 1052 match: 19 SD: 0.0926 cents