Scala analysis: xen07-chalmers-sixth-comma
19 of 1/6 Comma
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 88.600 cents 88.600000 2: 108.100 cents 108.100000 3: 196.700 cents 196.700000 4: 285.300 cents 285.300000 5: 304.900 cents 304.900000 6: 393.500 cents 393.500000 7: 482.100 cents 482.100000 8: 501.600 cents 501.600000 9: 590.200 cents 590.200000 10: 609.800 cents 609.800000 11: 698.400 cents 698.400000 12: 787.000 cents 787.000000 13: 806.500 cents 806.500000 14: 895.100 cents 895.100000 15: 983.700 cents 983.700000 16: 1003.300 cents 1003.300000 17: 1091.900 cents 1091.900000 18: 1180.400 cents 1180.400000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 19.6000 cents 19.6000 1: 88.6000 cents 88.6000 2: 19.5000 cents 19.5000 3: 88.6000 cents 88.6000 4: 88.6000 cents 88.6000 5: 19.6000 cents 19.6000 6: 88.6000 cents 88.6000 7: 88.6000 cents 88.6000 8: 19.5000 cents 19.5000 9: 88.6000 cents 88.6000 10: 19.6000 cents 19.6000 11: 88.6000 cents 88.6000 12: 88.6000 cents 88.6000 13: 19.5000 cents 19.5000 14: 88.6000 cents 88.6000 15: 88.6000 cents 88.6000 16: 19.6000 cents 19.6000 17: 88.6000 cents 88.6000 18: 88.5000 cents 88.5000 19: 19.6000 cents 19.6000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 19.50000 cents 1: 4 19.60000 cents 1: 1 88.50000 cents 1: 11 88.60000 cents 2: 7 108.10000 cents 2: 7 108.20000 cents 2: 1 177.10000 cents 2: 4 177.20000 cents 3: 2 127.70000 cents 3: 10 196.70000 cents 3: 7 196.80000 cents 4: 1 216.20000 cents 4: 8 216.30000 cents 4: 6 285.30000 cents 4: 4 285.40000 cents 5: 2 304.80000 cents 5: 14 304.90000 cents 5: 2 373.90000 cents 5: 1 374.00000 cents 6: 2 324.40000 cents 6: 2 324.50000 cents 6: 3 393.40000 cents 6: 12 393.50000 cents 7: 7 413.00000 cents 7: 4 413.10000 cents 7: 2 482.00000 cents 7: 6 482.10000 cents 8: 12 501.60000 cents 8: 6 501.70000 cents 8: 1 570.60000 cents 9: 1 521.10000 cents 9: 5 521.20000 cents 9: 10 590.20000 cents 9: 3 590.30000 cents 10: 3 609.70000 cents 10: 10 609.80000 cents 10: 5 678.80000 cents 10: 1 678.90000 cents 11: 1 629.40000 cents 11: 6 698.30000 cents 11: 12 698.40000 cents 12: 6 717.90000 cents 12: 2 718.00000 cents 12: 4 786.90000 cents 12: 7 787.00000 cents 13: 12 806.50000 cents 13: 3 806.60000 cents 13: 2 875.50000 cents 13: 2 875.60000 cents 14: 1 826.00000 cents 14: 2 826.10000 cents 14: 14 895.10000 cents 14: 2 895.20000 cents 15: 4 914.60000 cents 15: 6 914.70000 cents 15: 8 983.70000 cents 15: 1 983.80000 cents 16: 7 1003.20000 cents 16: 10 1003.30000 cents 16: 2 1072.30000 cents 17: 4 1022.80000 cents 17: 1 1022.90000 cents 17: 7 1091.80000 cents 17: 7 1091.90000 cents 18: 11 1111.40000 cents 18: 1 1111.50000 cents 18: 4 1180.40000 cents 18: 3 1180.50000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.77778 = 34/9
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 : 88.6 108.1 196.7 285.3 304.9 393.5 482.1 501.6 590.2 609.8 698.4 787.0 806.5 895.1 983.7 1003.3 1091.9 1180.4 1200.0 88.6 : 19.5 108.1 196.7 216.3 304.9 393.5 413.0 501.6 521.2 609.8 698.4 717.9 806.5 895.1 914.7 1003.3 1091.8 1111.4 1200.0 108.1 : 88.6 177.2 196.8 285.4 374.0 393.5 482.1 501.7 590.3 678.9 698.4 787.0 875.6 895.2 983.8 1072.3 1091.9 1180.5 1200.0 196.7 : 88.6 108.2 196.8 285.4 304.9 393.5 413.1 501.7 590.3 609.8 698.4 787.0 806.6 895.2 983.7 1003.3 1091.9 1111.4 1200.0 285.3 : 19.6 108.2 196.8 216.3 304.9 324.5 413.1 501.7 521.2 609.8 698.4 718.0 806.6 895.1 914.7 1003.3 1022.8 1111.4 1200.0 304.9 : 88.6 177.2 196.7 285.3 304.9 393.5 482.1 501.6 590.2 678.8 698.4 787.0 875.5 895.1 983.7 1003.2 1091.8 1180.4 1200.0 393.5 : 88.6 108.1 196.7 216.3 304.9 393.5 413.0 501.6 590.2 609.8 698.4 786.9 806.5 895.1 914.6 1003.2 1091.8 1111.4 1200.0 482.1 : 19.5 108.1 127.7 216.3 304.9 324.4 413.0 501.6 521.2 609.8 698.3 717.9 806.5 826.0 914.6 1003.2 1022.8 1111.4 1200.0 501.6 : 88.6 108.2 196.8 285.4 304.9 393.5 482.1 501.7 590.3 678.8 698.4 787.0 806.5 895.1 983.7 1003.3 1091.9 1180.5 1200.0 590.2 : 19.6 108.2 196.8 216.3 304.9 393.5 413.1 501.7 590.2 609.8 698.4 717.9 806.5 895.1 914.7 1003.3 1091.9 1111.4 1200.0 609.8 : 88.6 177.2 196.7 285.3 373.9 393.5 482.1 570.6 590.2 678.8 698.3 786.9 875.5 895.1 983.7 1072.3 1091.8 1180.4 1200.0 698.4 : 88.6 108.1 196.7 285.3 304.9 393.5 482.0 501.6 590.2 609.7 698.3 786.9 806.5 895.1 983.7 1003.2 1091.8 1111.4 1200.0 787.0 : 19.5 108.1 196.7 216.3 304.9 393.4 413.0 501.6 521.1 609.7 698.3 717.9 806.5 895.1 914.6 1003.2 1022.8 1111.4 1200.0 806.5 : 88.6 177.2 196.8 285.4 373.9 393.5 482.1 501.6 590.2 678.8 698.4 787.0 875.6 895.1 983.7 1003.3 1091.9 1180.5 1200.0 895.1 : 88.6 108.2 196.8 285.3 304.9 393.5 413.0 501.6 590.2 609.8 698.4 787.0 806.5 895.1 914.7 1003.3 1091.9 1111.4 1200.0 983.7 : 19.6 108.2 196.7 216.3 304.9 324.4 413.0 501.6 521.2 609.8 698.4 717.9 806.5 826.1 914.7 1003.3 1022.8 1111.4 1200.0 1003.3: 88.6 177.1 196.7 285.3 304.8 393.4 482.0 501.6 590.2 678.8 698.3 786.9 806.5 895.1 983.7 1003.2 1091.8 1180.4 1200.0 1091.9: 88.5 108.1 196.7 216.2 304.8 393.4 413.0 501.6 590.2 609.7 698.3 717.9 806.5 895.1 914.6 1003.2 1091.8 1111.4 1200.0 1180.4: 19.6 108.2 127.7 216.3 304.9 324.5 413.1 501.7 521.2 609.8 629.4 718.0 806.6 826.1 914.7 1003.3 1022.9 1111.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 19.5000 .. 88.6000 cents 69.10000 cents 19.50000 cents 2: 108.1000 .. 177.2000 cents 69.10000 cents 19.50000 cents 3: 127.7000 .. 196.8000 cents 69.10000 cents -49.50000 cents 4: 216.2000 .. 285.4000 cents 69.20000 cents 19.40000 cents 5: 304.8000 .. 374.0000 cents 69.20000 cents 19.40000 cents 6: 324.4000 .. 393.5000 cents 69.10000 cents -49.60000 cents 7: 413.0000 .. 482.1000 cents 69.10000 cents 19.50000 cents 8: 501.6000 .. 570.6000 cents 69.00000 cents 19.50000 cents 9: 521.1000 .. 590.3000 cents 69.20000 cents -49.50000 cents 10: 609.7000 .. 678.9000 cents 69.20000 cents 19.40000 cents 11: 629.4000 .. 698.4000 cents 69.00000 cents -49.50000 cents 12: 717.9000 .. 787.0000 cents 69.10000 cents 19.50000 cents 13: 806.5000 .. 875.6000 cents 69.10000 cents 19.50000 cents 14: 826.0000 .. 895.2000 cents 69.20000 cents -49.60000 cents 15: 914.6000 .. 983.8000 cents 69.20000 cents 19.40000 cents 16: 1003.2000 .. 1072.3000 cents 69.10000 cents 19.40000 cents 17: 1022.8000 .. 1091.9000 cents 69.10000 cents -49.50000 cents 18: 1111.4000 .. 1180.5000 cents 69.10000 cents 19.50000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 19.50000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 88.60000 cents Average / Smallest step : 3.238866 Largest / Average step : 1.402833 Largest / Smallest step : 4.543590 Median interval of one step : 88.60000 cents, amount: 11 Most common interval of one step : 88.60000 cents, amount: 11 Least squares average step : 64.08057 cents, oct.: 1217.53077 cents Scale is not proper Step pattern alph. order: ABAACAABACAABAACADC Step pattern size order : DADDBDDADBDDADDBDCB Scale is a Constant Structure, by a margin of 19.40000 cents Scale diversity : 1.123836 Lumma stability : 0.210833 Lumma impropriety factor : 0.247667 Number of different interval sizes : 68 = 3.77778 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.77778 = 34/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 304.90000 cents & inv., amount: 14 Most common triad is 0.0 304.900 895.100 cents, amount: 10 Number of recognisable fifths : 26, average 704.3846 cents Number of appreciable fifths : 18, average 698.3667 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 0 2 1 0 2 1 0 2 0 2 1 0 2 1 0 2 1 1 N T3 SD: 35.5965 c. M: 59.4947 c. 20: 1 1 1 2 0 2 1 0 2 0 2 1 0 2 1 1 1 2 0 N T3 SD: 16.9396 c. M: 28.6000 c. 22: 2 0 2 1 1 1 2 0 2 0 2 1 1 1 2 0 2 2 0 N T3 SD: 14.8832 c. M: 23.3636 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: 10.1775 c. M:-19.6000 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: 9.9678 c. M: 19.1097 c. 35: 3 0 3 2 1 2 3 1 2 1 2 3 1 2 3 0 3 2 1 N G SD: 9.9166 c. M: 16.3571 c. 37: 3 0 3 3 0 3 3 0 3 1 3 2 1 3 2 1 3 2 1 N SD: 9.3173 c. M:-15.1135 c. 41: 3 1 3 3 0 3 3 1 3 1 3 3 1 3 3 0 3 3 1 N SD: 8.8602 c. M: 13.8073 c. 42: 3 1 3 3 0 4 3 0 3 1 3 3 1 3 3 1 3 3 1 N SD: 10.2490 c. M: 19.1857 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: 4.3459 c. M: 8.3070 c. 55: 4 1 4 4 1 4 4 1 4 1 4 4 1 4 4 1 4 4 1 N M DE S SD: 1.1775 c. M: 2.2182 c. 67: 5 1 5 5 1 5 5 1 5 1 5 5 1 5 5 1 5 5 1 N M DE S SD: 0.8570 c. M:-1.6896 c. 122: 9 2 9 9 2 9 9 2 9 2 9 9 2 9 9 2 9 9 2 N M DE S SD: 0.0672 c. M: 0.1328 c. 555: 41 9 41 41 9 41 41 9 41 9 41 41 9 41 41 9 41 41 9 N M DE S SD: 0.0585 c. M:-0.1405 c. 677: 50 11 50 50 11 50 50 11 50 11 50 50 11 50 50 11 50 50 11 N M DE S SD: 0.0426 c. M:-0.1022 c. 799: 59 13 59 59 13 59 59 13 59 13 59 59 13 59 59 13 59 59 13 N M DE S SD: 0.0341 c. M:-0.0756 c. 921: 68 15 68 68 15 68 68 15 68 15 68 68 15 68 68 15 68 68 15 N M DE S SD: 0.0304 c. M:-0.0560 c. 1043: 77 17 77 77 17 77 77 17 77 17 77 77 17 77 77 17 77 77 17 N M DE S SD: 0.0298 c. M:-0.0496 c. 1964: 145 32 145 145 32 145 145 32 145 32 145 145 32 145 145 32 145 145 32 N M DE S SD: 0.0298 c. M:-0.0481 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.7775 cents 3 .. 6 match: 3 H SD: 3.7714 cents 4 .. 8 match: 4 H SD: 4.2243 cents 5 .. 10 match: 5 H SD: 4.1497 cents 6 .. 12 match: 6 H SD: 7.9751 cents 7 .. 14 match: 7 H SD: 9.9502 cents 8 .. 16 match: 8 H SD: 6.8698 cents 9 .. 18 match: 9 H SD: 6.5563 cents 10 .. 20 match: 10 H SD: 5.6143 cents 11 .. 22 match: 11 H SD: 9.6439 cents 12 .. 24 match: 11 SD: 4.9676 cents 13 .. 26 match: 12 S SD: 7.9831 cents 14 .. 28 match: 12 SD: 6.7323 cents 15 .. 30 match: 13 S SD: 4.6064 cents 16 .. 32 match: 13 SD: 3.3508 cents 17 .. 34 match: 13 SD: 5.1798 cents 18 .. 36 match: 14 SD: 4.4226 cents 19 .. 38 match: 13 SD: 4.4921 cents 20 .. 40 match: 14 S SD: 4.3824 cents 21 .. 42 match: 12 SD: 4.5911 cents 22 .. 44 match: 12 SD: 3.3954 cents 23 .. 46 match: 16 SD: 3.7175 cents 24 .. 48 match: 16 SD: 3.4387 cents 25 .. 50 match: 18 SD: 3.5817 cents 26 .. 52 match: 15 SD: 3.2401 cents 27 .. 54 match: 14 SD: 3.1674 cents 28 .. 56 match: 17 SD: 2.9329 cents 29 .. 58 match: 16 SD: 3.4264 cents 30 .. 60 match: 17 SD: 2.6755 cents 31 .. 62 match: 13 SD: 2.0078 cents 32 .. 64 match: 17 SD: 2.1844 cents 33 .. 66 match: 16 SD: 2.1902 cents 34 .. 68 match: 15 SD: 1.9748 cents 35 .. 70 match: 17 SD: 1.9503 cents 36 .. 72 match: 14 SD: 2.3091 cents 37 .. 74 match: 16 SD: 2.2454 cents 38 .. 76 match: 17 SD: 2.0043 cents 39 .. 78 match: 17 SD: 2.2785 cents 40 .. 80 match: 17 SD: 1.7078 cents 41 .. 82 match: 17 SD: 1.9924 cents 42 .. 84 match: 18 SD: 1.5384 cents 43 .. 86 match: 17 SD: 1.7525 cents 44 .. 88 match: 18 SD: 1.6278 cents 46 .. 92 match: 17 SD: 1.8775 cents 47 .. 94 match: 19 SD: 1.4688 cents 48 .. 96 match: 15 SD: 1.6897 cents 49 .. 98 match: 16 SD: 1.6360 cents 50 .. 100 match: 18 SD: 1.1936 cents 51 .. 102 match: 18 SD: 1.4438 cents 52 .. 104 match: 17 SD: 1.2239 cents 53 .. 106 match: 16 SD: 1.9390 cents 54 .. 108 match: 17 SD: 1.5428 cents 55 .. 110 match: 18 SD: 1.5852 cents 56 .. 112 match: 19 SD: 1.1370 cents 58 .. 116 match: 17 SD: 1.4667 cents 59 .. 118 match: 18 SD: 0.8763 cents 67 .. 134 match: 18 SD: 1.2489 cents 68 .. 136 match: 18 SD: 1.0970 cents 69 .. 138 match: 18 SD: 1.1701 cents 70 .. 140 match: 18 SD: 1.6414 cents 71 .. 142 match: 19 SD: 1.1261 cents 72 .. 144 match: 19 SD: 1.1181 cents 73 .. 146 match: 19 SD: 1.0870 cents 74 .. 148 match: 19 SD: 0.7959 cents 78 .. 156 match: 19 SD: 0.7486 cents 90 .. 180 match: 19 SD: 0.7257 cents 93 .. 186 match: 19 SD: 0.6468 cents 99 .. 198 match: 19 SD: 0.6349 cents 118 .. 236 match: 19 SD: 0.5743 cents 125 .. 250 match: 19 SD: 0.5088 cents 140 .. 280 match: 19 SD: 0.4052 cents 167 .. 334 match: 19 SD: 0.3856 cents 172 .. 344 match: 19 SD: 0.3713 cents 173 .. 346 match: 19 SD: 0.3673 cents 191 .. 382 match: 19 SD: 0.3509 cents 208 .. 416 match: 19 SD: 0.3454 cents 214 .. 428 match: 19 SD: 0.3206 cents 217 .. 434 match: 19 SD: 0.3084 cents 223 .. 446 match: 19 SD: 0.3082 cents 224 .. 448 match: 19 SD: 0.2990 cents 233 .. 466 match: 19 SD: 0.2965 cents 234 .. 468 match: 19 SD: 0.2710 cents 250 .. 500 match: 19 SD: 0.2700 cents 251 .. 502 match: 19 SD: 0.2644 cents 264 .. 528 match: 19 SD: 0.2585 cents 266 .. 532 match: 19 SD: 0.2447 cents 280 .. 560 match: 19 SD: 0.2352 cents 290 .. 580 match: 19 SD: 0.2336 cents 306 .. 612 match: 19 SD: 0.1825 cents 357 .. 714 match: 19 SD: 0.1757 cents 358 .. 716 match: 19 SD: 0.1755 cents 374 .. 748 match: 19 SD: 0.1686 cents 384 .. 768 match: 19 SD: 0.1543 cents 431 .. 862 match: 19 SD: 0.1473 cents 452 .. 904 match: 19 SD: 0.1443 cents 455 .. 910 match: 19 SD: 0.1438 cents 493 .. 986 match: 19 SD: 0.1407 cents 495 .. 990 match: 19 SD: 0.1381 cents 497 .. 994 match: 19 SD: 0.1123 cents 514 .. 1028 match: 19 SD: 0.1035 cents 592 .. 1184 match: 19 SD: 0.0925 cents