Scala analysis: xen18-erlich-semaphore-24
19L 5s MOS for Semaphore, L=58.73, s=17.56
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.730 cents 58.730000 2: 117.460 cents 117.460000 3: 135.020 cents 135.020000 4: 193.750 cents 193.750000 5: 252.480 cents 252.480000 6: 311.210 cents 311.210000 7: 369.940 cents 369.940000 8: 387.500 cents 387.500000 9: 446.230 cents 446.230000 10: 504.960 cents 504.960000 11: 563.690 cents 563.690000 12: 581.250 cents 581.250000 13: 639.980 cents 639.980000 14: 698.710 cents 698.710000 15: 757.440 cents 757.440000 16: 816.170 cents 816.170000 17: 833.730 cents 833.730000 18: 892.460 cents 892.460000 19: 951.190 cents 951.190000 20: 1009.920 cents 1009.920000 21: 1068.650 cents 1068.650000 22: 1086.210 cents 1086.210000 23: 1144.940 cents 1144.940000 24: 1203.670 cents 1203.670000
SHOW/INTERVAL
0: 58.7300 cents 58.7300 1: 58.7300 cents 58.7300 2: 58.7300 cents 58.7300 3: 17.5600 cents 17.5600 4: 58.7300 cents 58.7300 5: 58.7300 cents 58.7300 6: 58.7300 cents 58.7300 7: 58.7300 cents 58.7300 8: 17.5600 cents 17.5600 9: 58.7300 cents 58.7300 10: 58.7300 cents 58.7300 11: 58.7300 cents 58.7300 12: 17.5600 cents 17.5600 13: 58.7300 cents 58.7300 14: 58.7300 cents 58.7300 15: 58.7300 cents 58.7300 16: 58.7300 cents 58.7300 17: 17.5600 cents 17.5600 18: 58.7300 cents 58.7300 19: 58.7300 cents 58.7300 20: 58.7300 cents 58.7300 21: 58.7300 cents 58.7300 22: 17.5600 cents 17.5600 23: 58.7300 cents 58.7300 24: 58.7300 cents 58.7300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 17.56000 cents 1: 19 58.73000 cents 2: 10 76.29000 cents 2: 14 117.46000 cents 3: 15 135.02000 cents 3: 9 176.19000 cents 4: 20 193.75000 cents 4: 4 234.92000 cents 5: 1 211.31000 cents 5: 23 252.48000 cents 6: 6 270.04000 cents 6: 18 311.21000 cents 7: 11 328.77000 cents 7: 13 369.94000 cents 8: 16 387.50000 cents 8: 8 428.67000 cents 9: 21 446.23000 cents 9: 3 487.40000 cents 10: 2 463.79000 cents 10: 22 504.96000 cents 11: 7 522.52000 cents 11: 17 563.69000 cents 12: 12 581.25000 cents 12: 12 622.42000 cents 13: 17 639.98000 cents 13: 7 681.15000 cents 14: 22 698.71000 cents 14: 2 739.88000 cents 15: 3 716.27000 cents 15: 21 757.44000 cents 16: 8 775.00000 cents 16: 16 816.17000 cents 17: 13 833.73000 cents 17: 11 874.90000 cents 18: 18 892.46000 cents 18: 6 933.63000 cents 19: 23 951.19000 cents 19: 1 992.36000 cents 20: 4 968.75000 cents 20: 20 1009.92000 cents 21: 9 1027.48000 cents 21: 15 1068.65000 cents 22: 14 1086.21000 cents 22: 10 1127.38000 cents 23: 19 1144.94000 cents 23: 5 1186.11000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0.0 : 58.7 117.5 135.0 193.7 252.5 311.2 369.9 387.5 446.2 505.0 563.7 581.3 640.0 698.7 757.4 816.2 833.7 892.5 951.2 1009.9 1068.7 1086.2 1144.9 1203.7 58.7 : 58.7 76.3 135.0 193.7 252.5 311.2 328.8 387.5 446.2 505.0 522.5 581.2 640.0 698.7 757.4 775.0 833.7 892.5 951.2 1009.9 1027.5 1086.2 1144.9 1203.7 117.5 : 17.6 76.3 135.0 193.7 252.5 270.0 328.8 387.5 446.2 463.8 522.5 581.3 640.0 698.7 716.3 775.0 833.7 892.5 951.2 968.8 1027.5 1086.2 1144.9 1203.7 135.0 : 58.7 117.5 176.2 234.9 252.5 311.2 369.9 428.7 446.2 505.0 563.7 622.4 681.1 698.7 757.4 816.2 874.9 933.6 951.2 1009.9 1068.7 1127.4 1186.1 1203.7 193.7 : 58.7 117.5 176.2 193.7 252.5 311.2 369.9 387.5 446.2 505.0 563.7 622.4 640.0 698.7 757.4 816.2 874.9 892.5 951.2 1009.9 1068.7 1127.4 1144.9 1203.7 252.5 : 58.7 117.5 135.0 193.8 252.5 311.2 328.8 387.5 446.2 505.0 563.7 581.3 640.0 698.7 757.4 816.2 833.7 892.5 951.2 1009.9 1068.7 1086.2 1144.9 1203.7 311.2 : 58.7 76.3 135.0 193.8 252.5 270.0 328.8 387.5 446.2 505.0 522.5 581.3 640.0 698.7 757.4 775.0 833.7 892.5 951.2 1009.9 1027.5 1086.2 1144.9 1203.7 369.9 : 17.6 76.3 135.0 193.7 211.3 270.0 328.8 387.5 446.2 463.8 522.5 581.3 640.0 698.7 716.3 775.0 833.7 892.5 951.2 968.8 1027.5 1086.2 1144.9 1203.7 387.5 : 58.7 117.5 176.2 193.8 252.5 311.2 369.9 428.7 446.2 505.0 563.7 622.4 681.2 698.7 757.4 816.2 874.9 933.6 951.2 1009.9 1068.7 1127.4 1186.1 1203.7 446.2 : 58.7 117.5 135.0 193.7 252.5 311.2 369.9 387.5 446.2 505.0 563.7 622.4 640.0 698.7 757.4 816.2 874.9 892.5 951.2 1009.9 1068.6 1127.4 1144.9 1203.7 505.0 : 58.7 76.3 135.0 193.7 252.5 311.2 328.8 387.5 446.2 505.0 563.7 581.2 640.0 698.7 757.4 816.2 833.7 892.5 951.2 1009.9 1068.7 1086.2 1144.9 1203.7 563.7 : 17.6 76.3 135.0 193.7 252.5 270.0 328.8 387.5 446.2 505.0 522.5 581.2 640.0 698.7 757.4 775.0 833.7 892.5 951.2 1009.9 1027.5 1086.2 1144.9 1203.7 581.3 : 58.7 117.5 176.2 234.9 252.5 311.2 369.9 428.7 487.4 505.0 563.7 622.4 681.2 739.9 757.4 816.2 874.9 933.6 992.4 1009.9 1068.7 1127.4 1186.1 1203.7 640.0 : 58.7 117.5 176.2 193.8 252.5 311.2 369.9 428.7 446.2 505.0 563.7 622.4 681.2 698.7 757.4 816.2 874.9 933.6 951.2 1009.9 1068.7 1127.4 1144.9 1203.7 698.7 : 58.7 117.5 135.0 193.7 252.5 311.2 369.9 387.5 446.2 505.0 563.7 622.4 640.0 698.7 757.4 816.2 874.9 892.5 951.2 1009.9 1068.7 1086.2 1144.9 1203.7 757.4 : 58.7 76.3 135.0 193.7 252.5 311.2 328.8 387.5 446.2 505.0 563.7 581.3 640.0 698.7 757.4 816.2 833.7 892.5 951.2 1009.9 1027.5 1086.2 1144.9 1203.7 816.2 : 17.6 76.3 135.0 193.8 252.5 270.0 328.8 387.5 446.2 505.0 522.5 581.3 640.0 698.7 757.4 775.0 833.7 892.5 951.2 968.8 1027.5 1086.2 1144.9 1203.7 833.7 : 58.7 117.5 176.2 234.9 252.5 311.2 369.9 428.7 487.4 505.0 563.7 622.4 681.1 739.9 757.4 816.2 874.9 933.6 951.2 1009.9 1068.7 1127.4 1186.1 1203.7 892.5 : 58.7 117.5 176.2 193.7 252.5 311.2 369.9 428.7 446.2 505.0 563.7 622.4 681.1 698.7 757.4 816.2 874.9 892.5 951.2 1009.9 1068.7 1127.4 1144.9 1203.7 951.2 : 58.7 117.5 135.0 193.7 252.5 311.2 369.9 387.5 446.2 505.0 563.7 622.4 640.0 698.7 757.4 816.2 833.7 892.5 951.2 1009.9 1068.6 1086.2 1144.9 1203.7 1009.9: 58.7 76.3 135.0 193.8 252.5 311.2 328.8 387.5 446.2 505.0 563.7 581.3 640.0 698.7 757.4 775.0 833.7 892.5 951.2 1009.9 1027.5 1086.2 1144.9 1203.7 1068.7: 17.6 76.3 135.0 193.8 252.5 270.0 328.8 387.5 446.2 505.0 522.5 581.3 640.0 698.7 716.3 775.0 833.7 892.5 951.2 968.8 1027.5 1086.2 1144.9 1203.7 1086.2: 58.7 117.5 176.2 234.9 252.5 311.2 369.9 428.7 487.4 505.0 563.7 622.4 681.2 698.7 757.4 816.2 874.9 933.6 951.2 1009.9 1068.7 1127.4 1186.1 1203.7 1144.9: 58.7 117.5 176.2 193.8 252.5 311.2 369.9 428.7 446.2 505.0 563.7 622.4 640.0 698.7 757.4 816.2 874.9 892.5 951.2 1009.9 1068.7 1127.4 1144.9 1203.7 1203.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 17.5600 .. 58.7300 cents 41.17000 cents 17.56000 cents 2: 76.2900 .. 117.4600 cents 41.17000 cents 17.56000 cents 3: 135.0200 .. 176.1900 cents 41.17000 cents 17.56000 cents 4: 193.7500 .. 234.9200 cents 41.17000 cents 17.56000 cents 5: 211.3100 .. 252.4800 cents 41.17000 cents -23.61000 cents 6: 270.0400 .. 311.2100 cents 41.17000 cents 17.56000 cents 7: 328.7700 .. 369.9400 cents 41.17000 cents 17.56000 cents 8: 387.5000 .. 428.6700 cents 41.17000 cents 17.56000 cents 9: 446.2300 .. 487.4000 cents 41.17000 cents 17.56000 cents 10: 463.7900 .. 504.9600 cents 41.17000 cents -23.61000 cents 11: 522.5200 .. 563.6900 cents 41.17000 cents 17.56000 cents 12: 581.2500 .. 622.4200 cents 41.17000 cents 17.56000 cents 13: 639.9800 .. 681.1500 cents 41.17000 cents 17.56000 cents 14: 698.7100 .. 739.8800 cents 41.17000 cents 17.56000 cents 15: 716.2700 .. 757.4400 cents 41.17000 cents -23.61000 cents 16: 775.0000 .. 816.1700 cents 41.17000 cents 17.56000 cents 17: 833.7300 .. 874.9000 cents 41.17000 cents 17.56000 cents 18: 892.4600 .. 933.6300 cents 41.17000 cents 17.56000 cents 19: 951.1900 .. 992.3600 cents 41.17000 cents 17.56000 cents 20: 968.7500 .. 1009.9200 cents 41.17000 cents -23.61000 cents 21: 1027.4800 .. 1068.6500 cents 41.17000 cents 17.56000 cents 22: 1086.2100 .. 1127.3800 cents 41.17000 cents 17.56000 cents 23: 1144.9400 .. 1186.1100 cents 41.17000 cents 17.56000 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 17.56000 cents, class 1 Average step (divided formal octave): 50.1529 cents Largest one step interval : 58.73000 cents Average / Smallest step : 2.856089 Largest / Average step : 1.171019 Largest / Smallest step : 3.344533 Median interval of one step : 58.73000 cents, amount: 19 Most common interval of one step : 58.73000 cents, amount: 19 Least squares average step : 50.02549 cents, oct.: 1200.61166 cents Scale is not proper Scale has Myhill's property chromas: 41.17000 cents and 23.61000 cents, ratio: 1.743753 generators: 5 of 252.48000 cents and 19 of 951.19000 cents ET pair of linear temperament : 19&62 Scale is distributional even Scale is a mode of a 1783-tone equal temperament with octave 1203.670 cents degrees: 87 174 200 287 374 461 548 574 661 748 835 861 948 1035 1122 1209 1235 1322 1409 1496 1583 1609 1696 1783 generators: 374 and 1409 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAABAAABAAAABAAAABAA Step pattern size order : LLSLLLLSLLLSLLLLSLLLLSLL Scale is a Constant Structure, by a margin of 17.56000 cents Scale diversity : 1.158912 Lumma stability : 0.291774 Lumma impropriety factor : 0.078460 Rothenberg efficiency : 0.694444 redundancy: 0.305556 Efficiency x scale size : 16.666667 Number of different interval sizes : 46 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 17.56000 cents Most common intervals : 252.48000 cents & inv., amount: 23 Scale is a chain of 12 triads 0.0 369.940 951.190 cents Most common triad is 0.0 252.480 951.190 cents, amount: 22 Number of recognisable fifths : 25, average 700.8172 cents Number of appreciable fifths : 22, average 698.7100 cents Number of recognisable fourths : 25, average 502.8528 cents Scale contains two identical disjunct "tetrachords" of 11 notes Formal octave complements present : 23 = 95.8333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 19 Inversional symmetry on intervals : 9-10 21-22 -- Rational properties --
FIT/MODE
24: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 11.9054 c. M:-20.5850 c. 27: 1 2 0 1 2 1 1 1 1 1 2 0 1 2 1 1 1 1 1 2 1 0 2 1 N D3 SD: 12.1153 c. M:-16.2811 c. 29: 1 2 0 2 1 1 2 0 2 1 2 0 1 2 1 2 0 2 1 1 2 0 2 1 N D3 SD: 12.0764 c. M:-20.6690 c. 34: 2 1 1 1 2 2 1 1 2 1 2 0 2 2 1 2 1 1 2 2 1 1 1 2 N SD: 10.5282 c. M:-16.7397 c. 35: 2 1 1 2 1 2 2 0 2 2 1 1 2 1 2 2 0 2 2 1 2 1 1 2 N D3 SD: 9.4495 c. M:-14.2883 c. 38: 2 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 2 N M DE SD: 6.4142 c. M: 11.0905 c. 43: 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 P M ME SD: 3.8107 c. M:-6.5888 c. 62: 3 3 1 3 3 3 3 1 3 3 3 1 3 3 3 3 1 3 3 3 3 1 3 3 N M DE SD: 0.6772 c. M:-1.1710 c. 143: 7 7 2 7 7 7 7 2 7 7 7 2 7 7 7 7 2 7 7 7 7 2 7 7 N M DE SD: 0.2650 c. M: 0.4582 c. 205: 10 10 3 10 10 10 10 3 10 10 10 3 10 10 10 10 3 10 10 10 10 3 10 10 N M DE SD: 0.0200 c. M:-0.0345 c. 1168: 57 57 17 57 57 57 57 17 57 57 57 17 57 57 57 57 17 57 57 57 57 17 57 57 N M DE SD: 0.0149 c. M: 0.0258 c. 1373: 67 67 20 67 67 67 67 20 67 67 67 20 67 67 67 67 20 67 67 67 67 20 67 67 N M DE SD: 0.0097 c. M: 0.0168 c. 1578: 77 77 23 77 77 77 77 23 77 77 77 23 77 77 77 77 23 77 77 77 77 23 77 77 N M DE SD: 0.0058 c. M: 0.0101 c. 1783: 87 87 26 87 87 87 87 26 87 87 87 26 87 87 87 87 26 87 87 87 87 26 87 87 N M DE SD: 0.0029 c. M: 0.0050 c. 1988: 97 97 29 97 97 97 97 29 97 97 97 29 97 97 97 97 29 97 97 97 97 29 97 97 N M DE SD: 0.0005 c. M: 0.0009 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 3.6700 cents 2 .. 4 match: 2 H SD: 2.4494 cents 3 .. 6 match: 3 H SD: 3.7552 cents 4 .. 8 match: 4 H SD: 4.5855 cents 5 .. 10 match: 5 H SD: 1.9979 cents 6 .. 12 match: 6 H SD: 4.4614 cents 7 .. 14 match: 7 H SD: 6.4849 cents 8 .. 16 match: 8 H SD: 3.1701 cents 9 .. 18 match: 9 H SD: 3.9156 cents 10 .. 20 match: 10 H SD: 4.8066 cents 11 .. 22 match: 11 H SD: 5.7712 cents 12 .. 24 match: 12 H SD: 3.9846 cents 13 .. 26 match: 13 H SD: 3.4433 cents 14 .. 28 match: 14 H SD: 4.5290 cents 15 .. 30 match: 15 H SD: 3.0749 cents 16 .. 32 match: 16 H SD: 3.1398 cents 17 .. 34 match: 16 S SD: 4.6737 cents 18 .. 36 match: 18 H SD: 3.0981 cents 19 .. 38 match: 19 H SD: 4.3681 cents 20 .. 40 match: 18 SD: 3.0935 cents 21 .. 42 match: 18 SD: 3.6537 cents 22 .. 44 match: 20 SD: 3.8164 cents 23 .. 46 match: 19 SD: 3.6203 cents 24 .. 48 match: 22 SD: 2.5928 cents 25 .. 50 match: 20 SD: 2.4680 cents 26 .. 52 match: 21 SD: 2.4798 cents 27 .. 54 match: 23 SD: 2.4259 cents 28 .. 56 match: 19 SD: 2.9748 cents 29 .. 58 match: 21 SD: 2.7069 cents 30 .. 60 match: 21 SD: 2.3582 cents 31 .. 62 match: 22 SD: 2.3794 cents 32 .. 64 match: 23 SD: 2.1939 cents 33 .. 66 match: 21 SD: 2.0520 cents 36 .. 72 match: 19 SD: 1.9532 cents 37 .. 74 match: 21 SD: 2.0164 cents 38 .. 76 match: 22 SD: 1.9904 cents 39 .. 78 match: 23 SD: 2.1067 cents 40 .. 80 match: 22 SD: 1.6535 cents 41 .. 82 match: 20 SD: 1.9501 cents 42 .. 84 match: 23 SD: 1.6782 cents 43 .. 86 match: 22 SD: 1.9295 cents 44 .. 88 match: 22 SD: 1.7685 cents 45 .. 90 match: 23 SD: 1.5721 cents 46 .. 92 match: 22 SD: 1.8478 cents 47 .. 94 match: 24 SD: 1.4533 cents 49 .. 98 match: 22 SD: 1.5742 cents 50 .. 100 match: 23 SD: 1.2625 cents 51 .. 102 match: 22 SD: 1.2854 cents 52 .. 104 match: 23 SD: 1.2459 cents 53 .. 106 match: 22 SD: 1.3727 cents 54 .. 108 match: 22 SD: 1.5438 cents 55 .. 110 match: 23 SD: 1.2106 cents 56 .. 112 match: 23 SD: 1.2501 cents 57 .. 114 match: 23 SD: 1.2350 cents 58 .. 116 match: 24 SD: 1.1015 cents 60 .. 120 match: 24 SD: 1.0063 cents 61 .. 122 match: 23 SD: 1.1791 cents 62 .. 124 match: 24 SD: 1.0278 cents 65 .. 130 match: 23 SD: 1.0621 cents 66 .. 132 match: 23 SD: 1.2594 cents 67 .. 134 match: 23 SD: 1.0515 cents 68 .. 136 match: 24 SD: 0.9733 cents 71 .. 142 match: 24 SD: 0.8915 cents 76 .. 152 match: 24 SD: 0.7888 cents 79 .. 158 match: 23 SD: 1.0787 cents 80 .. 160 match: 23 SD: 0.9596 cents 81 .. 162 match: 24 SD: 0.9392 cents 82 .. 164 match: 24 SD: 0.8787 cents 83 .. 166 match: 24 SD: 0.7194 cents 85 .. 170 match: 24 SD: 0.7145 cents 96 .. 192 match: 24 SD: 0.6662 cents 101 .. 202 match: 24 SD: 0.6423 cents 109 .. 218 match: 24 SD: 0.6375 cents 110 .. 220 match: 24 SD: 0.6011 cents 112 .. 224 match: 24 SD: 0.5857 cents 115 .. 230 match: 24 SD: 0.5730 cents 116 .. 232 match: 24 SD: 0.5461 cents 126 .. 253 match: 24 SD: 0.5242 cents 135 .. 271 match: 24 SD: 0.5191 cents 139 .. 279 match: 24 SD: 0.5086 cents 141 .. 283 match: 24 SD: 0.5076 cents 143 .. 287 match: 24 SD: 0.4524 cents 153 .. 307 match: 24 SD: 0.4470 cents 159 .. 319 match: 24 SD: 0.4015 cents 168 .. 337 match: 24 SD: 0.3957 cents 171 .. 343 match: 24 SD: 0.3327 cents 197 .. 395 match: 24 SD: 0.2814 cents 228 .. 457 match: 24 SD: 0.2535 cents 255 .. 511 match: 24 SD: 0.2140 cents 268 .. 537 match: 24 SD: 0.2038 cents 286 .. 573 match: 24 SD: 0.1746 cents 356 .. 714 match: 24 SD: 0.1693 cents 370 .. 742 match: 24 SD: 0.1541 cents 431 .. 864 match: 24 SD: 0.1403 cents 432 .. 866 match: 24 SD: 0.1281 cents 458 .. 918 match: 24 SD: 0.1215 cents 466 .. 934 match: 24 SD: 0.1197 cents 483 .. 968 match: 24 SD: 0.1194 cents 517 .. 1036 match: 24 SD: 0.1177 cents 541 .. 1084 match: 24 SD: 0.1005 cents