Scala analysis: xen07-chalmers-two-seventh-comma
19 of 2/7 Comma
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 70.700 cents 70.700000 2: 120.900 cents 120.900000 3: 191.600 cents 191.600000 4: 262.300 cents 262.300000 5: 312.600 cents 312.600000 6: 383.200 cents 383.200000 7: 453.900 cents 453.900000 8: 504.200 cents 504.200000 9: 574.900 cents 574.900000 10: 625.100 cents 625.100000 11: 695.800 cents 695.800000 12: 766.500 cents 766.500000 13: 816.800 cents 816.800000 14: 887.400 cents 887.400000 15: 958.100 cents 958.100000 16: 1008.200 cents 1008.200000 17: 1079.100 cents 1079.100000 18: 1149.700 cents 1149.700000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 50.3000 cents 50.3000 1: 70.7000 cents 70.7000 2: 50.2000 cents 50.2000 3: 70.7000 cents 70.7000 4: 70.7000 cents 70.7000 5: 50.3000 cents 50.3000 6: 70.6000 cents 70.6000 7: 70.7000 cents 70.7000 8: 50.3000 cents 50.3000 9: 70.7000 cents 70.7000 10: 50.2000 cents 50.2000 11: 70.7000 cents 70.7000 12: 70.7000 cents 70.7000 13: 50.3000 cents 50.3000 14: 70.6000 cents 70.6000 15: 70.7000 cents 70.7000 16: 50.1000 cents 50.1000 17: 70.9000 cents 70.9000 18: 70.6000 cents 70.6000 19: 50.3000 cents 50.3000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 50.10000 cents 1: 2 50.20000 cents 1: 4 50.30000 cents 1: 3 70.60000 cents 1: 8 70.70000 cents 1: 1 70.90000 cents 2: 1 120.80000 cents 2: 7 120.90000 cents 2: 6 121.00000 cents 2: 2 141.30000 cents 2: 2 141.40000 cents 2: 1 141.50000 cents 3: 2 171.20000 cents 3: 1 191.40000 cents 3: 11 191.60000 cents 3: 4 191.70000 cents 3: 1 191.80000 cents 4: 1 241.70000 cents 4: 1 241.80000 cents 4: 7 241.90000 cents 4: 9 262.30000 cents 4: 1 262.50000 cents 5: 1 312.40000 cents 5: 4 312.50000 cents 5: 10 312.60000 cents 5: 1 312.70000 cents 5: 1 332.90000 cents 5: 2 333.00000 cents 6: 2 362.80000 cents 6: 2 362.90000 cents 6: 1 383.10000 cents 6: 8 383.20000 cents 6: 5 383.30000 cents 6: 1 383.40000 cents 7: 1 433.30000 cents 7: 9 433.50000 cents 7: 1 433.60000 cents 7: 5 453.90000 cents 7: 2 454.00000 cents 7: 1 454.10000 cents 8: 1 504.00000 cents 8: 2 504.10000 cents 8: 14 504.20000 cents 8: 1 504.40000 cents 8: 1 524.60000 cents 9: 1 554.30000 cents 9: 2 554.40000 cents 9: 3 554.50000 cents 9: 4 574.80000 cents 9: 8 574.90000 cents 9: 1 575.00000 cents 10: 1 625.00000 cents 10: 8 625.10000 cents 10: 4 625.20000 cents 10: 3 645.50000 cents 10: 2 645.60000 cents 10: 1 645.70000 cents 11: 1 675.40000 cents 11: 1 695.60000 cents 11: 14 695.80000 cents 11: 2 695.90000 cents 11: 1 696.00000 cents 12: 1 745.90000 cents 12: 2 746.00000 cents 12: 5 746.10000 cents 12: 1 766.40000 cents 12: 9 766.50000 cents 12: 1 766.70000 cents 13: 1 816.60000 cents 13: 5 816.70000 cents 13: 8 816.80000 cents 13: 1 816.90000 cents 13: 2 837.10000 cents 13: 2 837.20000 cents 14: 2 867.00000 cents 14: 1 867.10000 cents 14: 1 887.30000 cents 14: 10 887.40000 cents 14: 4 887.50000 cents 14: 1 887.60000 cents 15: 1 937.50000 cents 15: 9 937.70000 cents 15: 7 958.10000 cents 15: 1 958.20000 cents 15: 1 958.30000 cents 16: 1 1008.20000 cents 16: 4 1008.30000 cents 16: 11 1008.40000 cents 16: 1 1008.60000 cents 16: 2 1028.80000 cents 17: 1 1058.50000 cents 17: 2 1058.60000 cents 17: 2 1058.70000 cents 17: 6 1079.00000 cents 17: 7 1079.10000 cents 17: 1 1079.20000 cents 18: 1 1129.10000 cents 18: 8 1129.30000 cents 18: 3 1129.40000 cents 18: 4 1149.70000 cents 18: 2 1149.80000 cents 18: 1 1149.90000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.66667 = 17/3
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 : 70.7 120.9 191.6 262.3 312.6 383.2 453.9 504.2 574.9 625.1 695.8 766.5 816.8 887.4 958.1 1008.2 1079.1 1149.7 1200.0 70.7 : 50.2 120.9 191.6 241.9 312.5 383.2 433.5 504.2 554.4 625.1 695.8 746.1 816.7 887.4 937.5 1008.4 1079.0 1129.3 1200.0 120.9 : 70.7 141.4 191.7 262.3 333.0 383.3 454.0 504.2 574.9 645.6 695.9 766.5 837.2 887.3 958.2 1028.8 1079.1 1149.8 1200.0 191.6 : 70.7 121.0 191.6 262.3 312.6 383.3 433.5 504.2 574.9 625.2 695.8 766.5 816.6 887.5 958.1 1008.4 1079.1 1129.3 1200.0 262.3 : 50.3 120.9 191.6 241.9 312.6 362.8 433.5 504.2 554.5 625.1 695.8 745.9 816.8 887.4 937.7 1008.4 1058.6 1129.3 1200.0 312.6 : 70.6 141.3 191.6 262.3 312.5 383.2 453.9 504.2 574.8 645.5 695.6 766.5 837.1 887.4 958.1 1008.3 1079.0 1149.7 1200.0 383.2 : 70.7 121.0 191.7 241.9 312.6 383.3 433.6 504.2 574.9 625.0 695.9 766.5 816.8 887.5 937.7 1008.4 1079.1 1129.4 1200.0 453.9 : 50.3 121.0 171.2 241.9 312.6 362.9 433.5 504.2 554.3 625.2 695.8 746.1 816.8 867.0 937.7 1008.4 1058.7 1129.3 1200.0 504.2 : 70.7 120.9 191.6 262.3 312.6 383.2 453.9 504.0 574.9 645.5 695.8 766.5 816.7 887.4 958.1 1008.4 1079.0 1149.7 1200.0 574.9 : 50.2 120.9 191.6 241.9 312.5 383.2 433.3 504.2 574.8 625.1 695.8 746.0 816.7 887.4 937.7 1008.3 1079.0 1129.3 1200.0 625.1 : 70.7 141.4 191.7 262.3 333.0 383.1 454.0 524.6 574.9 645.6 695.8 766.5 837.2 887.5 958.1 1028.8 1079.1 1149.8 1200.0 695.8 : 70.7 121.0 191.6 262.3 312.4 383.3 453.9 504.2 574.9 625.1 695.8 766.5 816.8 887.4 958.1 1008.4 1079.1 1129.3 1200.0 766.5 : 50.3 120.9 191.6 241.7 312.6 383.2 433.5 504.2 554.4 625.1 695.8 746.1 816.7 887.4 937.7 1008.4 1058.6 1129.3 1200.0 816.8 : 70.6 141.3 191.4 262.3 332.9 383.2 453.9 504.1 574.8 645.5 695.8 766.4 837.1 887.4 958.1 1008.3 1079.0 1149.7 1200.0 887.4 : 70.7 120.8 191.7 262.3 312.6 383.3 433.5 504.2 574.9 625.2 695.8 766.5 816.8 887.5 937.7 1008.4 1079.1 1129.4 1200.0 958.1 : 50.1 121.0 191.6 241.9 312.6 362.8 433.5 504.2 554.5 625.1 695.8 746.1 816.8 867.0 937.7 1008.4 1058.7 1129.3 1200.0 1008.2: 70.9 141.5 191.8 262.5 312.7 383.4 454.1 504.4 575.0 645.7 696.0 766.7 816.9 887.6 958.3 1008.6 1079.2 1149.9 1200.0 1079.1: 70.6 120.9 191.6 241.8 312.5 383.2 433.5 504.1 574.8 625.1 695.8 746.0 816.7 887.4 937.7 1008.3 1079.0 1129.1 1200.0 1149.7: 50.3 121.0 171.2 241.9 312.6 362.9 433.5 504.2 554.5 625.2 675.4 746.1 816.8 867.1 937.7 1008.4 1058.5 1129.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 50.1000 .. 70.9000 cents 20.80000 cents 50.10000 cents 2: 120.8000 .. 141.5000 cents 20.70000 cents 49.90000 cents 3: 171.2000 .. 191.8000 cents 20.60000 cents 29.70000 cents 4: 241.7000 .. 262.5000 cents 20.80000 cents 49.90000 cents 5: 312.4000 .. 333.0000 cents 20.60000 cents 49.90000 cents 6: 362.8000 .. 383.4000 cents 20.60000 cents 29.80000 cents 7: 433.3000 .. 454.1000 cents 20.80000 cents 49.90000 cents 8: 504.0000 .. 524.6000 cents 20.60000 cents 49.90000 cents 9: 554.3000 .. 575.0000 cents 20.70000 cents 29.70000 cents 10: 625.0000 .. 645.7000 cents 20.70000 cents 50.00000 cents 11: 675.4000 .. 696.0000 cents 20.60000 cents 29.70000 cents 12: 745.9000 .. 766.7000 cents 20.80000 cents 49.90000 cents 13: 816.6000 .. 837.2000 cents 20.60000 cents 49.90000 cents 14: 867.0000 .. 887.6000 cents 20.60000 cents 29.80000 cents 15: 937.5000 .. 958.3000 cents 20.80000 cents 49.90000 cents 16: 1008.2000 .. 1028.8000 cents 20.60000 cents 49.90000 cents 17: 1058.5000 .. 1079.2000 cents 20.70000 cents 29.70000 cents 18: 1129.1000 .. 1149.9000 cents 20.80000 cents 49.90000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 50.10000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 70.90000 cents Average / Smallest step : 1.260637 Largest / Average step : 1.122583 Largest / Smallest step : 1.415170 Median interval of one step : 70.60000 cents, amount: 3 Most common interval of one step : 70.70000 cents, amount: 8 Least squares average step : 63.42935 cents, oct.: 1205.15769 cents Scale is strictly proper Step pattern alph. order: ABAACDACABAACDAEFDC Step pattern size order : EBEECDECEBEECDEAFDC Scale is a Constant Structure, by a margin of 29.70000 cents Scale diversity : 1.176149 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.689667 Number of different interval sizes : 102 = 5.66667 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.66667 = 17/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 0.10000 cents Most common intervals : 504.20000 cents & inv., amount: 14 Most common triad is 0.0 504.200 695.800 cents, amount: 10 Number of recognisable fifths : 18, average 695.8111 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 : 11 = 57.8947% Limited inverse transpositions with margin 20.6000 cents: 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: 6.7096 c. M: 12.8579 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: 6.0141 c. M:-11.5903 c. 46: 3 2 2 3 2 3 2 2 3 2 3 2 2 3 3 2 2 3 2 SP D3 S SD: 7.0656 c. M: 10.4217 c. 50: 3 2 3 3 2 3 3 2 3 2 3 3 2 3 3 2 3 3 2 SP M ME S SD: 1.1801 c. M:-2.3000 c. 69: 4 3 4 4 3 4 4 3 4 3 4 4 3 4 4 3 4 4 3 SP M ME S SD: 0.9944 c. M: 1.8739 c. 119: 7 5 7 7 5 7 7 5 7 5 7 7 5 7 7 5 7 7 5 SP M DE S SD: 0.0946 c. M:-0.2034 c. 407: 24 17 24 24 17 24 24 17 24 17 24 24 17 24 24 17 24 24 17 SP M DE S SD: 0.0894 c. M:-0.1771 c. 526: 31 22 31 31 22 31 31 22 31 22 31 31 22 31 31 22 31 31 22 SP M DE S SD: 0.0634 c. M:-0.1650 c. 645: 38 27 38 38 27 38 38 27 38 27 38 38 27 38 38 27 38 38 27 SP M DE S SD: 0.0526 c. M:-0.1721 c. 764: 45 32 45 45 32 45 45 32 45 32 45 45 32 45 45 32 45 45 32 SP M DE S SD: 0.0498 c. M:-0.1770 c. 933: 55 39 55 55 39 55 55 39 55 39 55 55 39 55 55 39 55 55 39 SP M DE S SD: 0.0738 c. M:-0.1601 c. 1002: 59 42 59 59 42 59 59 42 59 42 59 59 42 59 59 42 59 59 42 SP M DE S SD: 0.0528 c. M:-0.1832 c. 1340: 79 56 79 79 56 79 79 56 79 56 79 79 56 79 79 56 79 79 56 SP M DE S SD: 0.0784 c. M:-0.1582 c. 1359: 80 57 80 80 57 80 80 57 80 57 80 80 57 80 80 57 80 80 57 SP M DE S SD: 0.0603 c. M:-0.1885 c. 1409: 83 59 83 83 59 83 83 59 83 59 83 83 59 83 83 59 83 83 59 SP M DE S SD: 0.0505 c. M:-0.1747 c. 1647: 97 69 97 97 69 97 97 69 97 69 97 97 69 97 97 69 97 97 69 SP M DE S SD: 0.0499 c. M:-0.1789 c. 1747: 103 73 103 103 73 103 103 73 103 73 103 103 73 103 103 73 103 103 73 SP M DE S SD: 0.0809 c. M:-0.1572 c. 1816: 107 76 107 107 76 107 107 76 107 76 107 107 76 107 107 76 107 107 76 SP M DE S SD: 0.0551 c. M:-0.1700 c. 1885: 111 79 111 111 79 111 111 79 111 79 111 111 79 111 111 79 111 111 79 SP M DE S SD: 0.0516 c. M:-0.1820 c. 2054: 121 86 121 121 86 121 121 86 121 86 121 121 86 121 121 86 121 121 86 SP M DE S SD: 0.0511 c. M:-0.1739 c. 2173: 128 91 128 128 91 128 128 91 128 91 128 128 91 128 128 91 128 128 91 SP M DE S SD: 0.0502 c. M:-0.1755 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 3.0775 cents 3 .. 6 match: 3 H SD: 2.2885 cents 4 .. 8 match: 4 H SD: 3.1881 cents 5 .. 10 match: 5 H SD: 2.5705 cents 6 .. 12 match: 6 H SD: 5.2446 cents 7 .. 14 match: 7 H SD: 6.8732 cents 8 .. 16 match: 8 H SD: 4.8691 cents 9 .. 18 match: 9 H SD: 5.0999 cents 10 .. 20 match: 10 H SD: 5.4008 cents 11 .. 22 match: 11 H SD: 7.8141 cents 12 .. 24 match: 12 H SD: 4.4981 cents 13 .. 26 match: 13 H SD: 5.0368 cents 14 .. 28 match: 14 H SD: 4.7751 cents 15 .. 30 match: 15 H SD: 3.9357 cents 16 .. 32 match: 16 H SD: 3.5086 cents 17 .. 34 match: 15 S SD: 4.9386 cents 18 .. 36 match: 17 S SD: 3.7062 cents 19 .. 38 match: 16 SD: 4.4913 cents 20 .. 40 match: 18 SD: 3.0032 cents 21 .. 42 match: 18 SD: 4.0224 cents 22 .. 44 match: 17 SD: 4.4617 cents 23 .. 46 match: 19 SD: 3.1463 cents 24 .. 48 match: 19 SD: 2.9321 cents 25 .. 50 match: 19 SD: 2.8831 cents 27 .. 54 match: 19 SD: 2.7105 cents 30 .. 60 match: 19 SD: 2.2386 cents 36 .. 72 match: 19 SD: 2.1385 cents 40 .. 80 match: 19 SD: 2.0847 cents 41 .. 82 match: 19 SD: 1.7419 cents 43 .. 86 match: 19 SD: 1.6427 cents 50 .. 100 match: 19 SD: 1.4060 cents 51 .. 102 match: 19 SD: 1.3466 cents 53 .. 106 match: 19 SD: 1.3323 cents 61 .. 122 match: 19 SD: 1.2858 cents 66 .. 132 match: 19 SD: 1.0220 cents 69 .. 138 match: 19 SD: 0.9910 cents 73 .. 146 match: 19 SD: 0.9796 cents 81 .. 162 match: 19 SD: 0.8878 cents 86 .. 172 match: 19 SD: 0.8624 cents 91 .. 182 match: 19 SD: 0.8483 cents 94 .. 188 match: 19 SD: 0.8352 cents 96 .. 192 match: 19 SD: 0.7605 cents 97 .. 194 match: 19 SD: 0.6077 cents 121 .. 242 match: 19 SD: 0.5348 cents 127 .. 254 match: 19 SD: 0.5229 cents 140 .. 280 match: 19 SD: 0.5071 cents 142 .. 284 match: 19 SD: 0.4611 cents 154 .. 308 match: 19 SD: 0.4470 cents 163 .. 326 match: 19 SD: 0.4274 cents 166 .. 332 match: 19 SD: 0.4187 cents 170 .. 340 match: 19 SD: 0.4115 cents 172 .. 344 match: 19 SD: 0.4081 cents 177 .. 354 match: 19 SD: 0.3997 cents 178 .. 356 match: 19 SD: 0.3952 cents 190 .. 380 match: 19 SD: 0.3615 cents 196 .. 392 match: 19 SD: 0.3148 cents 214 .. 428 match: 19 SD: 0.3045 cents 221 .. 442 match: 19 SD: 0.2751 cents 237 .. 474 match: 19 SD: 0.2454 cents 239 .. 478 match: 19 SD: 0.2401 cents 257 .. 514 match: 19 SD: 0.2374 cents 264 .. 528 match: 19 SD: 0.2331 cents 267 .. 534 match: 19 SD: 0.2260 cents 287 .. 574 match: 19 SD: 0.1903 cents 334 .. 668 match: 19 SD: 0.1833 cents 343 .. 686 match: 19 SD: 0.1712 cents 384 .. 768 match: 19 SD: 0.1362 cents 453 .. 906 match: 19 SD: 0.1299 cents 506 .. 1012 match: 19 SD: 0.1298 cents 521 .. 1042 match: 19 SD: 0.1200 cents 524 .. 1048 match: 19 SD: 0.1182 cents 526 .. 1052 match: 19 SD: 0.1162 cents 556 .. 1112 match: 19 SD: 0.0962 cents