Scala analysis: horixens-03-in-the-zoon-2
Sevish: In the Zoon, Horixens
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 52.783 cents 52.782609 2: 105.565 cents 105.565217 3: 158.348 cents 158.347826 4: 211.130 cents 211.130435 5: 263.913 cents 263.913043 6: 316.696 cents 316.695652 7: 369.478 cents 369.478261 8: 422.261 cents 422.260870 9: 475.043 cents 475.043478 10: 527.826 cents 527.826087 11: 580.609 cents 580.608696 12: 633.391 cents 633.391304 13: 686.174 cents 686.173913 14: 738.957 cents 738.956522 15: 791.739 cents 791.739130 16: 844.522 cents 844.521739 17: 897.304 cents 897.304348 18: 950.087 cents 950.086957 19: 1002.870 cents 1002.869565 20: 1055.652 cents 1055.652174 21: 1108.435 cents 1108.434783 22: 1161.217 cents 1161.217391 23: 1214.000 cents 1214.000000
SHOW/INTERVAL
0: 52.7826 cents 52.7826 1: 52.7826 cents 52.7826 2: 52.7826 cents 52.7826 3: 52.7826 cents 52.7826 4: 52.7826 cents 52.7826 5: 52.7826 cents 52.7826 6: 52.7826 cents 52.7826 7: 52.7826 cents 52.7826 8: 52.7826 cents 52.7826 9: 52.7826 cents 52.7826 10: 52.7826 cents 52.7826 11: 52.7826 cents 52.7826 12: 52.7826 cents 52.7826 13: 52.7826 cents 52.7826 14: 52.7826 cents 52.7826 15: 52.7826 cents 52.7826 16: 52.7826 cents 52.7826 17: 52.7826 cents 52.7826 18: 52.7826 cents 52.7826 19: 52.7826 cents 52.7826 20: 52.7826 cents 52.7826 21: 52.7826 cents 52.7826 22: 52.7826 cents 52.7826 23: 52.7826 cents 52.7826
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 23 52.78261 cents 2: 23 105.56522 cents 3: 23 158.34783 cents 4: 23 211.13043 cents 5: 23 263.91304 cents 6: 23 316.69565 cents 7: 23 369.47826 cents 8: 23 422.26087 cents 9: 23 475.04348 cents 10: 23 527.82609 cents 11: 23 580.60870 cents 12: 23 633.39130 cents 13: 23 686.17391 cents 14: 23 738.95652 cents 15: 23 791.73913 cents 16: 23 844.52174 cents 17: 23 897.30435 cents 18: 23 950.08696 cents 19: 23 1002.86957 cents 20: 23 1055.65217 cents 21: 23 1108.43478 cents 22: 23 1161.21739 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
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 0.0 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 52.8 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 105.6 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 158.3 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 211.1 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 263.9 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 316.7 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 369.5 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 422.3 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 475.0 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 527.8 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 580.6 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 633.4 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 686.2 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 739.0 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 791.7 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 844.5 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 897.3 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 950.1 : 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 1002.9: 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 1055.7: 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 1108.4: 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 1161.2: 52.8 105.6 158.3 211.1 263.9 316.7 369.5 422.3 475.0 527.8 580.6 633.4 686.2 739.0 791.7 844.5 897.3 950.1 1002.9 1055.7 1108.4 1161.2 1214.0 1214.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 52.7826 .. 52.7826 cents 1/1, 0.0000 cents 52.78261 cents 2: 105.5652 .. 105.5652 cents 1/1, 0.0000 cents 52.78261 cents 3: 158.3478 .. 158.3478 cents 1/1, 0.0000 cents 52.78261 cents 4: 211.1304 .. 211.1304 cents 1/1, 0.0000 cents 52.78261 cents 5: 263.9130 .. 263.9130 cents 1/1, 0.0000 cents 52.78261 cents 6: 316.6957 .. 316.6957 cents 1/1, 0.0000 cents 52.78261 cents 7: 369.4783 .. 369.4783 cents 1/1, 0.0000 cents 52.78261 cents 8: 422.2609 .. 422.2609 cents 1/1, 0.0000 cents 52.78261 cents 9: 475.0435 .. 475.0435 cents 1/1, 0.0000 cents 52.78261 cents 10: 527.8261 .. 527.8261 cents 1/1, 0.0000 cents 52.78261 cents 11: 580.6087 .. 580.6087 cents 1/1, 0.0000 cents 52.78261 cents 12: 633.3913 .. 633.3913 cents 1/1, 0.0000 cents 52.78261 cents 13: 686.1739 .. 686.1739 cents 1/1, 0.0000 cents 52.78261 cents 14: 738.9565 .. 738.9565 cents 1/1, 0.0000 cents 52.78261 cents 15: 791.7391 .. 791.7391 cents 1/1, 0.0000 cents 52.78261 cents 16: 844.5217 .. 844.5217 cents 1/1, 0.0000 cents 52.78261 cents 17: 897.3043 .. 897.3043 cents 1/1, 0.0000 cents 52.78261 cents 18: 950.0870 .. 950.0870 cents 1/1, 0.0000 cents 52.78261 cents 19: 1002.8696 .. 1002.8696 cents 1/1, 0.0000 cents 52.78261 cents 20: 1055.6522 .. 1055.6522 cents 1/1, 0.0000 cents 52.78261 cents 21: 1108.4348 .. 1108.4348 cents 1/1, 0.0000 cents 52.78261 cents 22: 1161.2174 .. 1161.2174 cents 1/1, 0.0000 cents 52.78261 cents
SHOW DATA
Number of notes : 23 -- Interval properties -- Smallest interval : 52.78261 cents, class 1 Average step (divided formal octave): 52.7826 cents Largest one step interval : 52.78261 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 52.78261 cents, amount: 23 Most common interval of one step : 52.78261 cents, amount: 23 Least squares average step : 52.78261 cents, oct.: 1214.00000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 52.78261 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.043478 redundancy: 0.956522 Efficiency x scale size : 1.000000 Number of different interval sizes : 22 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 23, average 686.1739 cents Number of appreciable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct "tetrachords" of 10 notes Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
23: 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: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 14.0000 cents 2 .. 4 match: 2 H SD: 10.5480 cents 3 .. 6 match: 3 H SD: 9.9591 cents 4 .. 8 match: 4 H SD: 8.2144 cents 5 .. 10 match: 5 H SD: 5.9976 cents 6 .. 12 match: 6 H SD: 5.7494 cents 7 .. 14 match: 7 H SD: 5.7954 cents 8 .. 16 match: 8 H SD: 5.7367 cents 9 .. 18 match: 9 H SD: 5.8196 cents 10 .. 20 match: 10 H SD: 4.5710 cents 11 .. 22 match: 11 H SD: 4.1452 cents 12 .. 24 match: 12 H SD: 4.6033 cents 13 .. 26 match: 13 H SD: 4.4154 cents 14 .. 28 match: 14 H SD: 4.0871 cents 15 .. 30 match: 15 H SD: 3.8824 cents 16 .. 32 match: 16 H SD: 3.9027 cents 17 .. 34 match: 17 H SD: 3.8138 cents 18 .. 36 match: 18 H SD: 3.4539 cents 19 .. 38 match: 19 H SD: 2.6815 cents 20 .. 40 match: 20 H SD: 3.4729 cents 21 .. 42 match: 20 SD: 3.3788 cents 22 .. 44 match: 21 S SD: 2.9015 cents 23 .. 46 match: 21 SD: 3.0932 cents 24 .. 48 match: 22 S SD: 3.2446 cents 25 .. 50 match: 22 SD: 2.4461 cents 26 .. 52 match: 22 SD: 2.9320 cents 27 .. 54 match: 22 SD: 3.3171 cents 28 .. 56 match: 23 SD: 2.7386 cents 29 .. 58 match: 23 SD: 2.1464 cents 30 .. 60 match: 23 SD: 2.0706 cents 37 .. 75 match: 23 SD: 1.9474 cents 38 .. 77 match: 23 SD: 1.9373 cents 41 .. 83 match: 23 SD: 1.6630 cents 43 .. 87 match: 23 SD: 1.6002 cents 45 .. 91 match: 23 SD: 1.5115 cents 50 .. 101 match: 23 SD: 1.3818 cents 54 .. 109 match: 23 SD: 1.2991 cents 55 .. 111 match: 23 SD: 1.2828 cents 59 .. 119 match: 23 SD: 1.2128 cents 60 .. 121 match: 23 SD: 1.0589 cents 62 .. 125 match: 23 SD: 0.9549 cents 75 .. 151 match: 23 SD: 0.9052 cents 83 .. 167 match: 23 SD: 0.8891 cents 84 .. 169 match: 23 SD: 0.8193 cents 90 .. 181 match: 23 SD: 0.8047 cents 92 .. 185 match: 23 SD: 0.7662 cents 93 .. 188 match: 23 SD: 0.6748 cents 98 .. 198 match: 23 SD: 0.6714 cents 105 .. 212 match: 23 SD: 0.6286 cents 115 .. 232 match: 23 SD: 0.5217 cents 126 .. 254 match: 23 SD: 0.4371 cents 156 .. 315 match: 23 SD: 0.3754 cents 186 .. 375 match: 23 SD: 0.3590 cents 188 .. 379 match: 23 SD: 0.3363 cents 193 .. 389 match: 23 SD: 0.3123 cents 218 .. 440 match: 23 SD: 0.2851 cents 224 .. 452 match: 23 SD: 0.2316 cents 253 .. 510 match: 23 SD: 0.2231 cents 269 .. 542 match: 23 SD: 0.1963 cents 323 .. 651 match: 23 SD: 0.1735 cents 362 .. 730 match: 23 SD: 0.1656 cents 364 .. 734 match: 23 SD: 0.1608 cents 387 .. 780 match: 23 SD: 0.1387 cents 424 .. 855 match: 23 SD: 0.1328 cents 449 .. 905 match: 23 SD: 0.1193 cents 479 .. 966 match: 23 SD: 0.1110 cents 539 .. 1087 match: 23 SD: 0.1084 cents 584 .. 1177 match: 23 SD: 0.1058 cents