Scala analysis: xen07-chalmers-kornerup
Kornerup
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 73.500 cents 73.500000 2: 118.900 cents 118.900000 3: 192.400 cents 192.400000 4: 265.900 cents 265.900000 5: 311.400 cents 311.400000 6: 384.100 cents 384.100000 7: 458.400 cents 458.400000 8: 503.800 cents 503.800000 9: 577.300 cents 577.300000 10: 622.700 cents 622.700000 11: 696.200 cents 696.200000 12: 769.700 cents 769.700000 13: 815.100 cents 815.100000 14: 888.600 cents 888.600000 15: 962.100 cents 962.100000 16: 1007.600 cents 1007.600000 17: 1081.100 cents 1081.100000 18: 1154.600 cents 1154.600000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 45.4000 cents 45.4000 1: 73.5000 cents 73.5000 2: 45.4000 cents 45.4000 3: 73.5000 cents 73.5000 4: 73.5000 cents 73.5000 5: 45.5000 cents 45.5000 6: 72.7000 cents 72.7000 7: 74.3000 cents 74.3000 8: 45.4000 cents 45.4000 9: 73.5000 cents 73.5000 10: 45.4000 cents 45.4000 11: 73.5000 cents 73.5000 12: 73.5000 cents 73.5000 13: 45.4000 cents 45.4000 14: 73.5000 cents 73.5000 15: 73.5000 cents 73.5000 16: 45.5000 cents 45.5000 17: 73.5000 cents 73.5000 18: 73.5000 cents 73.5000 19: 45.4000 cents 45.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 45.40000 cents 1: 2 45.50000 cents 1: 1 72.70000 cents 1: 10 73.50000 cents 1: 1 74.30000 cents 2: 1 118.20000 cents 2: 9 118.90000 cents 2: 3 119.00000 cents 2: 1 119.70000 cents 2: 5 147.00000 cents 3: 2 164.30000 cents 3: 1 191.70000 cents 3: 10 192.40000 cents 3: 5 192.50000 cents 3: 1 193.20000 cents 4: 4 237.80000 cents 4: 4 237.90000 cents 4: 1 238.60000 cents 4: 1 265.20000 cents 4: 6 265.90000 cents 4: 3 266.00000 cents 5: 1 310.60000 cents 5: 7 311.30000 cents 5: 7 311.40000 cents 5: 1 312.10000 cents 5: 1 339.40000 cents 5: 2 339.50000 cents 6: 1 356.70000 cents 6: 3 356.80000 cents 6: 1 384.10000 cents 6: 5 384.80000 cents 6: 8 384.90000 cents 6: 1 385.60000 cents 7: 1 429.50000 cents 7: 1 430.20000 cents 7: 8 430.30000 cents 7: 1 431.00000 cents 7: 3 458.30000 cents 7: 5 458.40000 cents 8: 1 503.00000 cents 8: 2 503.70000 cents 8: 14 503.80000 cents 8: 1 504.50000 cents 8: 1 531.90000 cents 9: 5 549.20000 cents 9: 1 549.30000 cents 9: 1 576.50000 cents 9: 1 577.20000 cents 9: 10 577.30000 cents 9: 1 578.00000 cents 10: 1 622.00000 cents 10: 10 622.70000 cents 10: 1 622.80000 cents 10: 1 623.50000 cents 10: 1 650.70000 cents 10: 5 650.80000 cents 11: 1 668.10000 cents 11: 1 695.50000 cents 11: 14 696.20000 cents 11: 2 696.30000 cents 11: 1 697.00000 cents 12: 5 741.60000 cents 12: 3 741.70000 cents 12: 1 769.00000 cents 12: 8 769.70000 cents 12: 1 769.80000 cents 12: 1 770.50000 cents 13: 1 814.40000 cents 13: 8 815.10000 cents 13: 5 815.20000 cents 13: 1 815.90000 cents 13: 3 843.20000 cents 13: 1 843.30000 cents 14: 2 860.50000 cents 14: 1 860.60000 cents 14: 1 887.90000 cents 14: 7 888.60000 cents 14: 7 888.70000 cents 14: 1 889.40000 cents 15: 3 934.00000 cents 15: 6 934.10000 cents 15: 1 934.80000 cents 15: 1 961.40000 cents 15: 4 962.10000 cents 15: 4 962.20000 cents 16: 1 1006.80000 cents 16: 5 1007.50000 cents 16: 10 1007.60000 cents 16: 1 1008.30000 cents 16: 2 1035.70000 cents 17: 5 1053.00000 cents 17: 1 1080.30000 cents 17: 3 1081.00000 cents 17: 9 1081.10000 cents 17: 1 1081.80000 cents 18: 1 1125.70000 cents 18: 10 1126.50000 cents 18: 1 1127.30000 cents 18: 2 1154.50000 cents 18: 5 1154.60000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.55556 = 50/9
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 : 73.5 118.9 192.4 265.9 311.4 384.1 458.4 503.8 577.3 622.7 696.2 769.7 815.1 888.6 962.1 1007.6 1081.1 1154.6 1200.0 73.5 : 45.4 118.9 192.4 237.9 310.6 384.9 430.3 503.8 549.2 622.7 696.2 741.6 815.1 888.6 934.1 1007.6 1081.1 1126.5 1200.0 118.9 : 73.5 147.0 192.5 265.2 339.5 384.9 458.4 503.8 577.3 650.8 696.2 769.7 843.2 888.7 962.2 1035.7 1081.1 1154.6 1200.0 192.4 : 73.5 119.0 191.7 266.0 311.4 384.9 430.3 503.8 577.3 622.7 696.2 769.7 815.2 888.7 962.2 1007.6 1081.1 1126.5 1200.0 265.9 : 45.5 118.2 192.5 237.9 311.4 356.8 430.3 503.8 549.2 622.7 696.2 741.7 815.2 888.7 934.1 1007.6 1053.0 1126.5 1200.0 311.4 : 72.7 147.0 192.4 265.9 311.3 384.8 458.3 503.7 577.2 650.7 696.2 769.7 843.2 888.6 962.1 1007.5 1081.0 1154.5 1200.0 384.1 : 74.3 119.7 193.2 238.6 312.1 385.6 431.0 504.5 578.0 623.5 697.0 770.5 815.9 889.4 934.8 1008.3 1081.8 1127.3 1200.0 458.4 : 45.4 118.9 164.3 237.8 311.3 356.7 430.2 503.7 549.2 622.7 696.2 741.6 815.1 860.5 934.0 1007.5 1053.0 1125.7 1200.0 503.8 : 73.5 118.9 192.4 265.9 311.3 384.8 458.3 503.8 577.3 650.8 696.2 769.7 815.1 888.6 962.1 1007.6 1080.3 1154.6 1200.0 577.3 : 45.4 118.9 192.4 237.8 311.3 384.8 430.3 503.8 577.3 622.7 696.2 741.6 815.1 888.6 934.1 1006.8 1081.1 1126.5 1200.0 622.7 : 73.5 147.0 192.4 265.9 339.4 384.9 458.4 531.9 577.3 650.8 696.2 769.7 843.2 888.7 961.4 1035.7 1081.1 1154.6 1200.0 696.2 : 73.5 118.9 192.4 265.9 311.4 384.9 458.4 503.8 577.3 622.7 696.2 769.7 815.2 887.9 962.2 1007.6 1081.1 1126.5 1200.0 769.7 : 45.4 118.9 192.4 237.9 311.4 384.9 430.3 503.8 549.2 622.7 696.2 741.7 814.4 888.7 934.1 1007.6 1053.0 1126.5 1200.0 815.1 : 73.5 147.0 192.5 266.0 339.5 384.9 458.4 503.8 577.3 650.8 696.3 769.0 843.3 888.7 962.2 1007.6 1081.1 1154.6 1200.0 888.6 : 73.5 119.0 192.5 266.0 311.4 384.9 430.3 503.8 577.3 622.8 695.5 769.8 815.2 888.7 934.1 1007.6 1081.1 1126.5 1200.0 962.1 : 45.5 119.0 192.5 237.9 311.4 356.8 430.3 503.8 549.3 622.0 696.3 741.7 815.2 860.6 934.1 1007.6 1053.0 1126.5 1200.0 1007.6: 73.5 147.0 192.4 265.9 311.3 384.8 458.3 503.8 576.5 650.8 696.2 769.7 815.1 888.6 962.1 1007.5 1081.0 1154.5 1200.0 1081.1: 73.5 118.9 192.4 237.8 311.3 384.8 430.3 503.0 577.3 622.7 696.2 741.6 815.1 888.6 934.0 1007.5 1081.0 1126.5 1200.0 1154.6: 45.4 118.9 164.3 237.8 311.3 356.8 429.5 503.8 549.2 622.7 668.1 741.6 815.1 860.5 934.0 1007.5 1053.0 1126.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 45.4000 .. 74.3000 cents 28.90000 cents 45.40000 cents 2: 118.2000 .. 147.0000 cents 28.80000 cents 43.90000 cents 3: 164.3000 .. 193.2000 cents 28.90000 cents 17.30000 cents 4: 237.8000 .. 266.0000 cents 28.20000 cents 44.60000 cents 5: 310.6000 .. 339.5000 cents 28.90000 cents 44.60000 cents 6: 356.7000 .. 385.6000 cents 28.90000 cents 17.20000 cents 7: 429.5000 .. 458.4000 cents 28.90000 cents 43.90000 cents 8: 503.0000 .. 531.9000 cents 28.90000 cents 44.60000 cents 9: 549.2000 .. 578.0000 cents 28.80000 cents 17.30000 cents 10: 622.0000 .. 650.8000 cents 28.80000 cents 44.00000 cents 11: 668.1000 .. 697.0000 cents 28.90000 cents 17.30000 cents 12: 741.6000 .. 770.5000 cents 28.90000 cents 44.60000 cents 13: 814.4000 .. 843.3000 cents 28.90000 cents 43.90000 cents 14: 860.5000 .. 889.4000 cents 28.90000 cents 17.20000 cents 15: 934.0000 .. 962.2000 cents 28.20000 cents 44.60000 cents 16: 1006.8000 .. 1035.7000 cents 28.90000 cents 44.60000 cents 17: 1053.0000 .. 1081.8000 cents 28.80000 cents 17.30000 cents 18: 1125.7000 .. 1154.6000 cents 28.90000 cents 43.90000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 45.40000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 74.30000 cents Average / Smallest step : 1.391143 Largest / Average step : 1.176417 Largest / Smallest step : 1.636564 Median interval of one step : 73.50000 cents, amount: 10 Most common interval of one step : 73.50000 cents, amount: 10 Least squares average step : 63.53097 cents, oct.: 1207.08846 cents Scale is strictly proper Step pattern alph. order: ABAACDEBABAABAACAAB Step pattern size order : DADDBCEADADDADDBDDA Scale is a Constant Structure, by a margin of 17.20000 cents Scale diversity : 1.209911 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.568000 Number of different interval sizes : 100 = 5.55556 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.55556 = 50/9 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 0.10000 cents Most common intervals : 503.80000 cents & inv., amount: 14 Most common triad is 0.0 503.800 696.200 cents, amount: 10 Number of recognisable fifths : 18, average 696.2167 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 28.9000 cents: 9 -- 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: 9.2048 c. M: 17.7579 c. 27: 2 1 1 2 1 2 1 1 2 1 2 1 1 2 2 1 1 2 1 P D3 S SD: 11.8084 c. M:-15.9000 c. 29: 2 1 2 1 2 1 2 1 2 1 2 2 1 1 2 1 2 2 1 P D3 SD: 11.3668 c. M:-19.6345 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: 3.5244 c. M:-6.6903 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: 1.3263 c. M: 2.6000 c. 81: 5 3 5 5 3 5 5 3 5 3 5 5 3 5 5 3 5 5 3 SP M DE S SD: 0.5633 c. M:-1.0852 c. 131: 8 5 8 8 5 8 8 5 8 5 8 8 5 8 8 5 8 8 5 SP M DE S SD: 0.2440 c. M:-0.6328 c. 212: 13 8 13 13 8 13 13 8 13 8 13 13 8 13 13 8 13 13 8 SP M DE S SD: 0.2007 c. M:-0.8057 c. 343: 21 13 21 21 13 21 21 13 21 13 21 21 13 21 21 13 21 21 13 SP M DE S SD: 0.1744 c. M:-0.7397 c. 555: 34 21 34 34 21 34 34 21 34 21 34 34 21 34 34 21 34 34 21 SP M DE S SD: 0.1780 c. M:-0.7649 c. 574: 35 22 35 35 22 35 35 22 35 22 35 35 22 35 35 22 35 35 22 SP M DE S SD: 0.3217 c. M: 0.5930 c. 605: 37 23 37 37 23 37 37 23 37 23 37 37 23 37 37 23 37 37 23 SP M DE S SD: 0.1903 c. M:-0.6934 c. 705: 43 27 43 43 27 43 43 27 43 27 43 43 27 43 43 27 43 43 27 SP M DE S SD: 0.3063 c. M:-0.5809 c. 717: 44 27 44 44 27 44 44 27 44 27 44 44 27 44 44 27 44 44 27 SP M DE S SD: 0.2291 c. M:-0.8372 c. 736: 45 28 45 45 28 45 45 28 45 28 45 45 28 45 45 28 45 45 28 SP M DE S SD: 0.1976 c. M:-0.6826 c. 740: 45 28 46 45 28 45 46 28 45 28 45 46 28 45 45 28 46 45 28 SP S SD: 0.4130 c. M:-0.5757 c. 748: 46 28 46 46 28 45 47 28 46 28 46 46 28 46 46 28 46 46 28 SP SD: 0.3041 c. M: 0.6775 c. 767: 47 29 47 47 29 47 47 29 47 29 47 47 29 47 47 29 47 47 29 SP M DE S SD: 0.1823 c. M:-0.7761 c. 817: 50 31 50 50 31 50 50 31 50 31 50 50 31 50 50 31 50 50 31 SP M DE S SD: 0.1771 c. M:-0.7225 c. 829: 51 31 51 51 31 50 52 31 51 31 51 51 31 51 51 31 51 51 31 SP SD: 0.3078 c. M:-0.5267 c. 836: 51 32 51 51 32 51 51 32 51 32 51 51 32 51 51 32 51 51 32 SP M DE S SD: 0.2959 c. M:-0.5890 c. 848: 52 32 52 52 32 51 53 32 52 32 52 52 32 52 52 32 52 52 32 SP SD: 0.1601 c. M: 0.6094 c. 871: 53 33 54 53 33 53 54 33 53 33 53 54 33 53 53 33 54 53 33 SP S SD: 0.3513 c. M:-0.5142 c. 879: 54 33 54 54 33 53 55 33 54 33 54 54 33 54 54 33 54 54 33 SP SD: 0.2235 c. M: 0.4823 c. 898: 55 34 55 55 34 54 56 34 55 34 55 55 34 55 55 34 55 55 34 SP SD: 0.1363 c. M: 0.5811 c. 929: 57 35 57 57 35 56 58 35 57 35 57 57 35 57 57 35 57 57 35 SP SD: 0.1556 c. M: 0.4617 c. 948: 58 36 58 58 36 57 59 36 58 36 58 58 36 58 58 36 58 58 36 SP SD: 0.1504 c. M: 0.5557 c. 960: 59 36 59 59 36 58 60 36 59 36 59 59 36 59 59 36 59 59 36 SP SD: 0.2345 c. M:-0.4000 c. 979: 60 37 60 60 37 59 61 37 60 37 60 60 37 60 60 37 60 60 37 SP SD: 0.1118 c. M: 0.4432 c. 1010: 62 38 62 62 38 61 63 38 62 38 62 62 38 62 62 38 62 62 38 SP SD: 0.1643 c. M: 0.3376 c. 1029: 63 39 63 63 39 62 64 39 63 39 63 63 39 63 63 39 63 63 39 SP SD: 0.1059 c. M: 0.4265 c. 1060: 65 40 65 65 40 64 66 40 65 40 65 65 40 65 65 40 65 65 40 SP SD: 0.1082 c. M: 0.3264 c. 1091: 67 41 67 67 41 66 68 41 67 41 67 67 41 67 67 41 67 67 41 SP SD: 0.1794 c. M:-0.3198 c. 1110: 68 42 68 68 42 67 69 42 68 42 68 68 42 68 68 42 68 68 42 SP SD: 0.0784 c. M: 0.3162 c. 1141: 70 43 70 70 43 69 71 43 70 43 70 70 43 70 70 43 70 70 43 SP SD: 0.1191 c. M: 0.2262 c. 1160: 71 44 71 71 44 70 72 44 71 44 71 71 44 71 71 44 71 71 44 SP SD: 0.0896 c. M: 0.3069 c. 1191: 73 45 73 73 45 72 74 45 73 45 73 73 45 73 73 45 73 73 45 SP SD: 0.0725 c. M: 0.2209 c. 1241: 76 47 76 76 47 75 77 47 76 47 76 76 47 76 76 47 76 76 47 SP SD: 0.0582 c. M: 0.2160 c. 1272: 78 48 78 78 48 77 79 48 78 48 78 78 48 78 78 48 78 78 48 SP SD: 0.0842 c. M:-0.1642 c. 1291: 79 49 79 79 49 78 80 49 79 49 79 79 49 79 79 49 79 79 49 SP SD: 0.0840 c. M: 0.2115 c. 1322: 81 50 81 81 50 80 82 50 81 50 81 81 50 81 81 50 81 81 50 SP SD: 0.0465 c. M: 0.1363 c. 1372: 84 52 84 84 52 83 85 52 84 52 84 84 52 84 84 52 84 84 52 SP SD: 0.0509 c. M: 0.1350 c. 1403: 86 53 86 86 53 85 87 53 86 53 86 86 53 86 86 53 86 86 53 SP SD: 0.0576 c. M:-0.1238 c. 1453: 89 55 89 89 55 88 90 55 89 55 89 89 55 89 89 55 89 89 55 SP SD: 0.0320 c. M: 0.0670 c. 1584: 97 60 97 97 60 96 98 60 97 60 97 97 60 97 97 60 97 97 60 SP SD: 0.0321 c. M: 0.0667 c. 1665: 102 63 102 102 63 101 103 63 102 63 102 102 63 102 102 63 102 102 63 SP SD: 0.0315 c. M:-0.0622 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.8775 cents 3 .. 6 match: 3 H SD: 2.3830 cents 4 .. 8 match: 4 H SD: 2.2812 cents 5 .. 10 match: 5 H SD: 2.4255 cents 6 .. 12 match: 6 H SD: 5.5086 cents 7 .. 14 match: 7 H SD: 7.6505 cents 8 .. 16 match: 8 H SD: 4.9824 cents 9 .. 18 match: 9 H SD: 5.2050 cents 10 .. 20 match: 10 H SD: 5.2505 cents 11 .. 22 match: 11 H SD: 8.2234 cents 12 .. 24 match: 12 H SD: 4.6393 cents 13 .. 26 match: 13 H SD: 5.4455 cents 14 .. 28 match: 14 H SD: 5.2025 cents 15 .. 30 match: 15 H SD: 4.0695 cents 16 .. 32 match: 16 H SD: 3.4469 cents 17 .. 34 match: 14 SD: 4.6266 cents 18 .. 36 match: 17 S SD: 3.9142 cents 19 .. 38 match: 15 SD: 4.1461 cents 20 .. 40 match: 18 SD: 3.1487 cents 21 .. 42 match: 18 SD: 4.1400 cents 22 .. 44 match: 17 SD: 4.4311 cents 23 .. 46 match: 19 SD: 3.1170 cents 24 .. 48 match: 18 SD: 2.7658 cents 25 .. 50 match: 18 SD: 2.5479 cents 30 .. 60 match: 19 SD: 2.3206 cents 35 .. 70 match: 18 SD: 2.3425 cents 36 .. 72 match: 19 SD: 2.1244 cents 40 .. 80 match: 19 SD: 1.8608 cents 41 .. 82 match: 19 SD: 1.8104 cents 42 .. 84 match: 19 SD: 1.6713 cents 43 .. 86 match: 19 SD: 1.5752 cents 52 .. 104 match: 19 SD: 1.5457 cents 53 .. 106 match: 19 SD: 1.3209 cents 60 .. 120 match: 19 SD: 1.1419 cents 66 .. 132 match: 19 SD: 1.0462 cents 70 .. 140 match: 19 SD: 1.0266 cents 71 .. 142 match: 19 SD: 1.0067 cents 73 .. 146 match: 19 SD: 0.9693 cents 83 .. 166 match: 19 SD: 0.9234 cents 85 .. 170 match: 19 SD: 0.7375 cents 95 .. 190 match: 19 SD: 0.7089 cents 97 .. 194 match: 19 SD: 0.6961 cents 101 .. 202 match: 19 SD: 0.6839 cents 109 .. 218 match: 19 SD: 0.6226 cents 113 .. 226 match: 19 SD: 0.4673 cents 152 .. 304 match: 19 SD: 0.4189 cents 157 .. 314 match: 19 SD: 0.4178 cents 168 .. 336 match: 19 SD: 0.3966 cents 180 .. 360 match: 19 SD: 0.3919 cents 182 .. 364 match: 19 SD: 0.3772 cents 194 .. 388 match: 19 SD: 0.3764 cents 198 .. 396 match: 19 SD: 0.3199 cents 210 .. 420 match: 19 SD: 0.2890 cents 228 .. 456 match: 19 SD: 0.2627 cents 254 .. 508 match: 19 SD: 0.2310 cents 270 .. 540 match: 19 SD: 0.2255 cents 314 .. 628 match: 19 SD: 0.2211 cents 323 .. 646 match: 19 SD: 0.1718 cents 349 .. 698 match: 19 SD: 0.1700 cents 366 .. 732 match: 19 SD: 0.1600 cents 391 .. 782 match: 19 SD: 0.1590 cents 409 .. 818 match: 19 SD: 0.1560 cents 432 .. 864 match: 19 SD: 0.1411 cents 452 .. 904 match: 19 SD: 0.1357 cents 462 .. 924 match: 19 SD: 0.1266 cents 548 .. 1096 match: 19 SD: 0.1237 cents 577 .. 1154 match: 19 SD: 0.1076 cents 580 .. 1160 match: 19 SD: 0.1003 cents