Scala analysis: xen07-chalmers-mercator
Mercator
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 67.900 cents 67.900000 2: 113.200 cents 113.200000 3: 181.100 cents 181.100000 4: 271.700 cents 271.700000 5: 339.600 cents 339.600000 6: 384.900 cents 384.900000 7: 430.200 cents 430.200000 8: 498.100 cents 498.100000 9: 566.000 cents 566.000000 10: 611.300 cents 611.300000 11: 679.200 cents 679.200000 12: 769.800 cents 769.800000 13: 815.100 cents 815.100000 14: 883.000 cents 883.000000 15: 950.900 cents 950.900000 16: 996.200 cents 996.200000 17: 1086.800 cents 1086.800000 18: 1154.700 cents 1154.700000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 45.3000 cents 45.3000 1: 67.9000 cents 67.9000 2: 45.3000 cents 45.3000 3: 67.9000 cents 67.9000 4: 90.6000 cents 90.6000 5: 67.9000 cents 67.9000 6: 45.3000 cents 45.3000 7: 45.3000 cents 45.3000 8: 67.9000 cents 67.9000 9: 67.9000 cents 67.9000 10: 45.3000 cents 45.3000 11: 67.9000 cents 67.9000 12: 90.6000 cents 90.6000 13: 45.3000 cents 45.3000 14: 67.9000 cents 67.9000 15: 67.9000 cents 67.9000 16: 45.3000 cents 45.3000 17: 90.6000 cents 90.6000 18: 67.9000 cents 67.9000 19: 45.3000 cents 45.3000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 45.30000 cents 1: 9 67.90000 cents 1: 3 90.60000 cents 2: 1 90.60000 cents 2: 10 113.20000 cents 2: 2 135.80000 cents 2: 2 135.90000 cents 2: 4 158.50000 cents 3: 3 158.50000 cents 3: 7 181.10000 cents 3: 8 203.80000 cents 3: 1 226.40000 cents 4: 6 226.40000 cents 4: 1 249.00000 cents 4: 3 249.10000 cents 4: 9 271.70000 cents 5: 1 271.70000 cents 5: 3 294.30000 cents 5: 11 317.00000 cents 5: 4 339.60000 cents 6: 2 339.60000 cents 6: 2 362.30000 cents 6: 14 384.90000 cents 6: 1 407.60000 cents 7: 1 407.50000 cents 7: 10 430.20000 cents 7: 5 452.80000 cents 7: 3 475.50000 cents 8: 2 475.50000 cents 8: 11 498.10000 cents 8: 1 520.70000 cents 8: 3 520.80000 cents 8: 2 543.40000 cents 9: 6 543.40000 cents 9: 5 566.00000 cents 9: 8 588.70000 cents 10: 8 611.30000 cents 10: 5 634.00000 cents 10: 6 656.60000 cents 11: 2 656.60000 cents 11: 3 679.20000 cents 11: 1 679.30000 cents 11: 11 701.90000 cents 11: 2 724.50000 cents 12: 3 724.50000 cents 12: 5 747.20000 cents 12: 10 769.80000 cents 12: 1 792.50000 cents 13: 1 792.40000 cents 13: 14 815.10000 cents 13: 2 837.70000 cents 13: 2 860.40000 cents 14: 4 860.40000 cents 14: 11 883.00000 cents 14: 3 905.70000 cents 14: 1 928.30000 cents 15: 9 928.30000 cents 15: 3 950.90000 cents 15: 1 951.00000 cents 15: 6 973.60000 cents 16: 1 973.60000 cents 16: 8 996.20000 cents 16: 7 1018.90000 cents 16: 3 1041.50000 cents 17: 4 1041.50000 cents 17: 2 1064.10000 cents 17: 2 1064.20000 cents 17: 10 1086.80000 cents 17: 1 1109.40000 cents 18: 3 1109.40000 cents 18: 9 1132.10000 cents 18: 7 1154.70000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.00000 = 4
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 : 67.9 113.2 181.1 271.7 339.6 384.9 430.2 498.1 566.0 611.3 679.2 769.8 815.1 883.0 950.9 996.2 1086.8 1154.7 1200.0 67.9 : 45.3 113.2 203.8 271.7 317.0 362.3 430.2 498.1 543.4 611.3 701.9 747.2 815.1 883.0 928.3 1018.9 1086.8 1132.1 1200.0 113.2 : 67.9 158.5 226.4 271.7 317.0 384.9 452.8 498.1 566.0 656.6 701.9 769.8 837.7 883.0 973.6 1041.5 1086.8 1154.7 1200.0 181.1 : 90.6 158.5 203.8 249.1 317.0 384.9 430.2 498.1 588.7 634.0 701.9 769.8 815.1 905.7 973.6 1018.9 1086.8 1132.1 1200.0 271.7 : 67.9 113.2 158.5 226.4 294.3 339.6 407.5 498.1 543.4 611.3 679.2 724.5 815.1 883.0 928.3 996.2 1041.5 1109.4 1200.0 339.6 : 45.3 90.6 158.5 226.4 271.7 339.6 430.2 475.5 543.4 611.3 656.6 747.2 815.1 860.4 928.3 973.6 1041.5 1132.1 1200.0 384.9 : 45.3 113.2 181.1 226.4 294.3 384.9 430.2 498.1 566.0 611.3 701.9 769.8 815.1 883.0 928.3 996.2 1086.8 1154.7 1200.0 430.2 : 67.9 135.8 181.1 249.0 339.6 384.9 452.8 520.7 566.0 656.6 724.5 769.8 837.7 883.0 950.9 1041.5 1109.4 1154.7 1200.0 498.1 : 67.9 113.2 181.1 271.7 317.0 384.9 452.8 498.1 588.7 656.6 701.9 769.8 815.1 883.0 973.6 1041.5 1086.8 1132.1 1200.0 566.0 : 45.3 113.2 203.8 249.1 317.0 384.9 430.2 520.8 588.7 634.0 701.9 747.2 815.1 905.7 973.6 1018.9 1064.2 1132.1 1200.0 611.3 : 67.9 158.5 203.8 271.7 339.6 384.9 475.5 543.4 588.7 656.6 701.9 769.8 860.4 928.3 973.6 1018.9 1086.8 1154.7 1200.0 679.2 : 90.6 135.9 203.8 271.7 317.0 407.6 475.5 520.8 588.7 634.0 701.9 792.5 860.4 905.7 951.0 1018.9 1086.8 1132.1 1200.0 769.8 : 45.3 113.2 181.1 226.4 317.0 384.9 430.2 498.1 543.4 611.3 701.9 769.8 815.1 860.4 928.3 996.2 1041.5 1109.4 1200.0 815.1 : 67.9 135.8 181.1 271.7 339.6 384.9 452.8 498.1 566.0 656.6 724.5 769.8 815.1 883.0 950.9 996.2 1064.1 1154.7 1200.0 883.0 : 67.9 113.2 203.8 271.7 317.0 384.9 430.2 498.1 588.7 656.6 701.9 747.2 815.1 883.0 928.3 996.2 1086.8 1132.1 1200.0 950.9 : 45.3 135.9 203.8 249.1 317.0 362.3 430.2 520.8 588.7 634.0 679.3 747.2 815.1 860.4 928.3 1018.9 1064.2 1132.1 1200.0 996.2 : 90.6 158.5 203.8 271.7 317.0 384.9 475.5 543.4 588.7 634.0 701.9 769.8 815.1 883.0 973.6 1018.9 1086.8 1154.7 1200.0 1086.8: 67.9 113.2 181.1 226.4 294.3 384.9 452.8 498.1 543.4 611.3 679.2 724.5 792.4 883.0 928.3 996.2 1064.1 1109.4 1200.0 1154.7: 45.3 113.2 158.5 226.4 317.0 384.9 430.2 475.5 543.4 611.3 656.6 724.5 815.1 860.4 928.3 996.2 1041.5 1132.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 45.3000 .. 90.6000 cents 45.30000 cents 45.30000 cents 2: 90.6000 .. 158.5000 cents 67.90000 cents 1/1, 0.0000 cents 3: 158.5000 .. 226.4000 cents 67.90000 cents 1/1, 0.0000 cents 4: 226.4000 .. 271.7000 cents 45.30000 cents 1/1, 0.0000 cents 5: 271.7000 .. 339.6000 cents 67.90000 cents 1/1, 0.0000 cents 6: 339.6000 .. 407.6000 cents 68.00000 cents 1/1, 0.0000 cents 7: 407.5000 .. 475.5000 cents 68.00000 cents -0.10000 cents 8: 475.5000 .. 543.4000 cents 67.90000 cents 1/1, 0.0000 cents 9: 543.4000 .. 588.7000 cents 45.30000 cents 1/1, 0.0000 cents 10: 611.3000 .. 656.6000 cents 45.30000 cents 22.60000 cents 11: 656.6000 .. 724.5000 cents 67.90000 cents 1/1, 0.0000 cents 12: 724.5000 .. 792.5000 cents 68.00000 cents 1/1, 0.0000 cents 13: 792.4000 .. 860.4000 cents 68.00000 cents -0.10000 cents 14: 860.4000 .. 928.3000 cents 67.90000 cents 1/1, 0.0000 cents 15: 928.3000 .. 973.6000 cents 45.30000 cents 1/1, 0.0000 cents 16: 973.6000 .. 1041.5000 cents 67.90000 cents 1/1, 0.0000 cents 17: 1041.5000 .. 1109.4000 cents 67.90000 cents 1/1, 0.0000 cents 18: 1109.4000 .. 1154.7000 cents 45.30000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 45.30000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 90.60000 cents Average / Smallest step : 1.394214 Largest / Average step : 1.434500 Largest / Smallest step : 2.000000 Median interval of one step : 67.90000 cents, amount: 9 Most common interval of one step : 67.90000 cents, amount: 9 Least squares average step : 63.18421 cents, oct.: 1200.50000 cents Scale is not proper Step pattern alph. order: ABACABBAABACBAABCAB Step pattern size order : MSMLMSSMMSMLSMMSLMS Scale is not a Constant Structure Scale diversity : 1.324094 Lumma stability : 0.094333 Lumma impropriety factor : 0.000167 Number of different interval sizes : 58 = 3.22222 / class Number of one step interval sizes : 3 Highest interval variety : 5 Mean interval variety : 4.00000 = 4 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 384.90000 cents & inv., amount: 14 Most common triad is 0.0 384.900 815.100 cents, amount: 10 Number of recognisable fifths : 11, average 701.9000 cents Formal octave complements present : 7 = 36.8421% -- 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: 12.5014 c. M: 23.8105 c. 22: 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 N D3 SD: 12.4193 c. M: 24.6545 c. 25: 1 1 2 2 1 1 1 1 2 1 1 2 1 1 2 1 2 1 1 N D3 SD: 11.7526 c. M: 19.9000 c. 28: 2 1 1 2 2 1 1 2 1 1 2 2 1 2 1 1 2 2 1 N D3 SD: 10.4950 c. M:-17.8143 c. 31: 2 1 2 2 2 1 1 2 2 1 2 2 1 2 2 1 2 2 1 P D3 SD: 8.8527 c. M:-17.5742 c. 33: 2 1 2 2 2 2 1 2 2 1 2 2 1 2 2 1 3 2 1 N D3 SD: 10.2935 c. M: 17.1545 c. 34: 2 1 2 3 2 1 1 2 2 1 2 3 1 2 2 1 3 2 1 N SD: 6.9812 c. M:-13.3412 c. 47: 3 1 3 4 2 2 2 3 2 2 3 3 2 3 2 2 4 2 2 N SD: 7.1528 c. M:-12.5383 c. 49: 3 2 2 4 3 2 2 2 3 2 3 3 2 3 3 2 3 3 2 N SD: 6.6815 c. M: 10.6163 c. 53: 3 2 3 4 3 2 2 3 3 2 3 4 2 3 3 2 4 3 2 P SD: 0.0228 c. M:-0.0453 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 11.3775 cents 3 .. 6 match: 3 H SD: 0.4533 cents 4 .. 8 match: 4 H SD: 7.2505 cents 5 .. 10 match: 5 H SD: 7.2290 cents 6 .. 12 match: 6 H SD: 7.3494 cents 7 .. 14 match: 7 H SD: 7.0122 cents 8 .. 16 match: 8 H SD: 5.8972 cents 9 .. 18 match: 9 H SD: 3.3926 cents 10 .. 20 match: 10 H SD: 6.5543 cents 11 .. 22 match: 11 H SD: 7.5793 cents 12 .. 24 match: 12 H SD: 5.3799 cents 13 .. 26 match: 13 H SD: 5.7747 cents 14 .. 28 match: 14 H SD: 4.9683 cents 15 .. 30 match: 15 H SD: 4.4145 cents 16 .. 32 match: 15 S SD: 4.5307 cents 17 .. 34 match: 15 SD: 3.9769 cents 18 .. 36 match: 17 S SD: 2.7072 cents 19 .. 38 match: 16 S SD: 3.8323 cents 20 .. 40 match: 17 SD: 4.3460 cents 21 .. 42 match: 17 SD: 3.3903 cents 22 .. 44 match: 16 SD: 3.8323 cents 23 .. 46 match: 18 SD: 3.1809 cents 25 .. 50 match: 19 SD: 3.0635 cents 26 .. 52 match: 18 SD: 3.2324 cents 27 .. 54 match: 19 SD: 2.7026 cents 28 .. 56 match: 19 SD: 2.4698 cents 29 .. 58 match: 19 SD: 2.4322 cents 30 .. 60 match: 18 SD: 2.7215 cents 31 .. 62 match: 19 SD: 2.4782 cents 33 .. 66 match: 19 SD: 2.2794 cents 36 .. 72 match: 19 SD: 2.0169 cents 41 .. 82 match: 19 SD: 1.9533 cents 42 .. 84 match: 19 SD: 1.7850 cents 45 .. 90 match: 19 SD: 1.4039 cents 54 .. 108 match: 19 SD: 1.3056 cents 57 .. 114 match: 19 SD: 1.1648 cents 60 .. 120 match: 19 SD: 1.1549 cents 64 .. 128 match: 19 SD: 1.1447 cents 70 .. 140 match: 19 SD: 1.1298 cents 71 .. 142 match: 19 SD: 0.9609 cents 73 .. 146 match: 19 SD: 0.9306 cents 75 .. 150 match: 19 SD: 0.7568 cents 93 .. 186 match: 19 SD: 0.6821 cents 100 .. 200 match: 19 SD: 0.6381 cents 116 .. 232 match: 19 SD: 0.5581 cents 120 .. 240 match: 19 SD: 0.5295 cents 134 .. 268 match: 19 SD: 0.5211 cents 135 .. 270 match: 19 SD: 0.4629 cents 148 .. 296 match: 19 SD: 0.4333 cents 152 .. 304 match: 19 SD: 0.4039 cents 153 .. 306 match: 19 SD: 0.3830 cents 181 .. 362 match: 19 SD: 0.3786 cents 189 .. 378 match: 19 SD: 0.3340 cents 198 .. 396 match: 19 SD: 0.3206 cents 220 .. 440 match: 19 SD: 0.3186 cents 225 .. 450 match: 19 SD: 0.2926 cents 246 .. 492 match: 19 SD: 0.2790 cents 248 .. 496 match: 19 SD: 0.2522 cents 253 .. 506 match: 19 SD: 0.2374 cents 281 .. 562 match: 19 SD: 0.2335 cents 298 .. 596 match: 19 SD: 0.2235 cents 300 .. 600 match: 19 SD: 0.2152 cents 323 .. 646 match: 19 SD: 0.2038 cents 329 .. 658 match: 19 SD: 0.1858 cents 354 .. 708 match: 19 SD: 0.1460 cents 425 .. 850 match: 19 SD: 0.1438 cents 429 .. 858 match: 19 SD: 0.1246 cents 489 .. 978 match: 19 SD: 0.1143 cents 546 .. 1092 match: 19 SD: 0.1098 cents 577 .. 1154 match: 19 SD: 0.1061 cents 600 .. 1200 match: 19 SD: 0.1013 cents