Scala analysis: xen07-chalmers-lst
3.5.7 LST
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 78.200 cents 78.200000 2: 115.600 cents 115.600000 3: 193.800 cents 193.800000 4: 271.900 cents 271.900000 5: 309.400 cents 309.400000 6: 387.500 cents 387.500000 7: 465.700 cents 465.700000 8: 503.100 cents 503.100000 9: 581.300 cents 581.300000 10: 618.700 cents 618.700000 11: 696.900 cents 696.900000 12: 775.100 cents 775.100000 13: 812.500 cents 812.500000 14: 890.700 cents 890.700000 15: 968.800 cents 968.800000 16: 1006.200 cents 1006.200000 17: 1084.400 cents 1084.400000 18: 1162.600 cents 1162.600000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 37.4000 cents 37.4000 1: 78.2000 cents 78.2000 2: 37.4000 cents 37.4000 3: 78.2000 cents 78.2000 4: 78.1000 cents 78.1000 5: 37.5000 cents 37.5000 6: 78.1000 cents 78.1000 7: 78.2000 cents 78.2000 8: 37.4000 cents 37.4000 9: 78.2000 cents 78.2000 10: 37.4000 cents 37.4000 11: 78.2000 cents 78.2000 12: 78.2000 cents 78.2000 13: 37.4000 cents 37.4000 14: 78.2000 cents 78.2000 15: 78.1000 cents 78.1000 16: 37.4000 cents 37.4000 17: 78.2000 cents 78.2000 18: 78.2000 cents 78.2000 19: 37.4000 cents 37.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 37.40000 cents 1: 1 37.50000 cents 1: 3 78.10000 cents 1: 9 78.20000 cents 2: 1 115.50000 cents 2: 13 115.60000 cents 2: 3 156.30000 cents 2: 2 156.40000 cents 3: 2 153.00000 cents 3: 6 193.70000 cents 3: 11 193.80000 cents 4: 1 231.10000 cents 4: 8 231.20000 cents 4: 7 271.90000 cents 4: 3 272.00000 cents 5: 7 309.30000 cents 5: 9 309.40000 cents 5: 3 350.10000 cents 6: 4 346.80000 cents 6: 12 387.50000 cents 6: 3 387.60000 cents 7: 6 424.90000 cents 7: 5 425.00000 cents 7: 8 465.70000 cents 8: 15 503.10000 cents 8: 3 503.20000 cents 8: 1 543.90000 cents 9: 4 540.50000 cents 9: 2 540.60000 cents 9: 1 581.20000 cents 9: 12 581.30000 cents 10: 12 618.70000 cents 10: 1 618.80000 cents 10: 2 659.40000 cents 10: 4 659.50000 cents 11: 1 656.10000 cents 11: 3 696.80000 cents 11: 15 696.90000 cents 12: 8 734.30000 cents 12: 5 775.00000 cents 12: 6 775.10000 cents 13: 3 812.40000 cents 13: 12 812.50000 cents 13: 4 853.20000 cents 14: 3 849.90000 cents 14: 9 890.60000 cents 14: 7 890.70000 cents 15: 3 928.00000 cents 15: 7 928.10000 cents 15: 8 968.80000 cents 15: 1 968.90000 cents 16: 11 1006.20000 cents 16: 6 1006.30000 cents 16: 2 1047.00000 cents 17: 2 1043.60000 cents 17: 3 1043.70000 cents 17: 13 1084.40000 cents 17: 1 1084.50000 cents 18: 9 1121.80000 cents 18: 3 1121.90000 cents 18: 1 1162.50000 cents 18: 6 1162.60000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.44444 = 31/9
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 : 78.2 115.6 193.8 271.9 309.4 387.5 465.7 503.1 581.3 618.7 696.9 775.1 812.5 890.7 968.8 1006.2 1084.4 1162.6 1200.0 78.2 : 37.4 115.6 193.7 231.2 309.3 387.5 424.9 503.1 540.5 618.7 696.9 734.3 812.5 890.6 928.0 1006.2 1084.4 1121.8 1200.0 115.6 : 78.2 156.3 193.8 271.9 350.1 387.5 465.7 503.1 581.3 659.5 696.9 775.1 853.2 890.6 968.8 1047.0 1084.4 1162.6 1200.0 193.8 : 78.1 115.6 193.7 271.9 309.3 387.5 424.9 503.1 581.3 618.7 696.9 775.0 812.4 890.6 968.8 1006.2 1084.4 1121.8 1200.0 271.9 : 37.5 115.6 193.8 231.2 309.4 346.8 425.0 503.2 540.6 618.8 696.9 734.3 812.5 890.7 928.1 1006.3 1043.7 1121.9 1200.0 309.4 : 78.1 156.3 193.7 271.9 309.3 387.5 465.7 503.1 581.3 659.4 696.8 775.0 853.2 890.6 968.8 1006.2 1084.4 1162.5 1200.0 387.5 : 78.2 115.6 193.8 231.2 309.4 387.6 425.0 503.2 581.3 618.7 696.9 775.1 812.5 890.7 928.1 1006.3 1084.4 1121.9 1200.0 465.7 : 37.4 115.6 153.0 231.2 309.4 346.8 425.0 503.1 540.5 618.7 696.9 734.3 812.5 849.9 928.1 1006.2 1043.7 1121.8 1200.0 503.1 : 78.2 115.6 193.8 272.0 309.4 387.6 465.7 503.1 581.3 659.5 696.9 775.1 812.5 890.7 968.8 1006.3 1084.4 1162.6 1200.0 581.3 : 37.4 115.6 193.8 231.2 309.4 387.5 424.9 503.1 581.3 618.7 696.9 734.3 812.5 890.6 928.1 1006.2 1084.4 1121.8 1200.0 618.7 : 78.2 156.4 193.8 272.0 350.1 387.5 465.7 543.9 581.3 659.5 696.9 775.1 853.2 890.7 968.8 1047.0 1084.4 1162.6 1200.0 696.9 : 78.2 115.6 193.8 271.9 309.3 387.5 465.7 503.1 581.3 618.7 696.9 775.0 812.5 890.6 968.8 1006.2 1084.4 1121.8 1200.0 775.1 : 37.4 115.6 193.7 231.1 309.3 387.5 424.9 503.1 540.5 618.7 696.8 734.3 812.4 890.6 928.0 1006.2 1043.6 1121.8 1200.0 812.5 : 78.2 156.3 193.7 271.9 350.1 387.5 465.7 503.1 581.3 659.4 696.9 775.0 853.2 890.6 968.8 1006.2 1084.4 1162.6 1200.0 890.7 : 78.1 115.5 193.7 271.9 309.3 387.5 424.9 503.1 581.2 618.7 696.8 775.0 812.4 890.6 928.0 1006.2 1084.4 1121.8 1200.0 968.8 : 37.4 115.6 193.8 231.2 309.4 346.8 425.0 503.1 540.6 618.7 696.9 734.3 812.5 849.9 928.1 1006.3 1043.7 1121.9 1200.0 1006.2: 78.2 156.4 193.8 272.0 309.4 387.6 465.7 503.2 581.3 659.5 696.9 775.1 812.5 890.7 968.9 1006.3 1084.5 1162.6 1200.0 1084.4: 78.2 115.6 193.8 231.2 309.4 387.5 425.0 503.1 581.3 618.7 696.9 734.3 812.5 890.7 928.1 1006.3 1084.4 1121.8 1200.0 1162.6: 37.4 115.6 153.0 231.2 309.3 346.8 424.9 503.1 540.5 618.7 656.1 734.3 812.5 849.9 928.1 1006.2 1043.6 1121.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 37.4000 .. 78.2000 cents 40.80000 cents 37.40000 cents 2: 115.5000 .. 156.4000 cents 40.90000 cents 37.30000 cents 3: 153.0000 .. 193.8000 cents 40.80000 cents -3.40000 cents 4: 231.1000 .. 272.0000 cents 40.90000 cents 37.30000 cents 5: 309.3000 .. 350.1000 cents 40.80000 cents 37.30000 cents 6: 346.8000 .. 387.6000 cents 40.80000 cents -3.30000 cents 7: 424.9000 .. 465.7000 cents 40.80000 cents 37.30000 cents 8: 503.1000 .. 543.9000 cents 40.80000 cents 37.40000 cents 9: 540.5000 .. 581.3000 cents 40.80000 cents -3.40000 cents 10: 618.7000 .. 659.5000 cents 40.80000 cents 37.40000 cents 11: 656.1000 .. 696.9000 cents 40.80000 cents -3.40000 cents 12: 734.3000 .. 775.1000 cents 40.80000 cents 37.40000 cents 13: 812.4000 .. 853.2000 cents 40.80000 cents 37.30000 cents 14: 849.9000 .. 890.7000 cents 40.80000 cents -3.30000 cents 15: 928.0000 .. 968.9000 cents 40.90000 cents 37.30000 cents 16: 1006.2000 .. 1047.0000 cents 40.80000 cents 37.30000 cents 17: 1043.6000 .. 1084.5000 cents 40.90000 cents -3.40000 cents 18: 1121.8000 .. 1162.6000 cents 40.80000 cents 37.30000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 37.40000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 78.20000 cents Average / Smallest step : 1.688714 Largest / Average step : 1.238167 Largest / Smallest step : 2.090909 Median interval of one step : 78.10000 cents, amount: 3 Most common interval of one step : 78.20000 cents, amount: 9 Least squares average step : 63.70283 cents, oct.: 1210.35385 cents Scale is not proper Step pattern alph. order: ABACDCABABAABACBAAB Step pattern size order : DADCBCDADADDADCADDA Scale is a Constant Structure, by a margin of 3.30000 cents Scale diversity : 1.178158 Lumma stability : 0.404500 Lumma impropriety factor : 0.016833 Number of different interval sizes : 62 = 3.44444 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.44444 = 31/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 503.10000 cents & inv., amount: 15 Most common triad is 0.0 503.100 696.900 cents, amount: 11 Number of recognisable fifths : 18, average 696.8833 cents Best minor thirds form a closed circle Formal octave complements present : 11 = 57.8947% Limited inverse transpositions : 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: 13.3977 c. M: 25.7579 c. 21: 1 1 1 2 0 2 1 1 1 1 1 2 0 2 1 1 1 1 1 N D3 S SD: 15.5657 c. M:-24.9000 c. 23: 1 1 2 1 1 1 2 1 1 1 1 2 1 1 2 0 2 1 1 N D3 SD: 14.7190 c. M: 26.0261 c. 26: 2 1 1 2 1 1 2 1 2 0 2 2 1 1 2 1 2 1 1 N D3 SD: 13.4336 c. M:-23.2923 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: 12.5561 c. M: 21.2556 c. 29: 2 1 2 2 0 2 2 1 2 1 2 2 1 2 1 1 2 2 1 N D3 SD: 11.9012 c. M: 19.7448 c. 30: 2 1 2 2 1 2 2 1 2 0 2 2 1 2 2 1 2 2 1 N T3 SD: 11.4962 c. M:-18.7000 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: 0.6750 c. M: 1.3097 c. 198: 13 6 13 13 6 13 13 6 13 6 13 13 6 13 13 6 13 13 6 N M DE S SD: 0.5472 c. M:-1.0364 c. 229: 15 7 15 15 7 15 15 7 15 7 15 15 7 15 15 7 15 15 7 N M DE S SD: 0.3823 c. M:-0.7188 c. 260: 17 8 17 17 8 17 17 8 17 8 17 17 8 17 17 8 17 17 8 N M DE S SD: 0.2569 c. M:-0.4769 c. 291: 19 9 19 19 9 19 19 9 19 9 19 19 9 19 19 9 19 19 9 N M DE S SD: 0.1588 c. M:-0.2866 c. 322: 21 10 21 21 10 21 21 10 21 10 21 21 10 21 21 10 21 21 10 N M DE S SD: 0.0813 c. M:-0.1497 c. 353: 23 11 23 23 11 23 23 11 23 11 23 23 11 23 23 11 23 23 11 N M DE S SD: 0.0298 c. M:-0.0547 c. 1090: 71 34 71 71 34 71 71 34 71 34 71 71 34 71 71 34 71 71 34 N M DE S SD: 0.0294 c. M: 0.0578 c. 1443: 94 45 94 94 45 94 94 45 94 45 94 94 45 94 94 45 94 94 45 N M DE S SD: 0.0283 c. M: 0.0555 c. 1796: 117 56 117 117 56 117 117 56 117 56 117 117 56 117 117 56 117 117 56 N M DE S SD: 0.0280 c. M: 0.0541 c. 2149: 140 67 140 140 67 140 140 67 140 67 140 140 67 140 140 67 140 140 67 N M DE S SD: 0.0280 c. M: 0.0532 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.5275 cents 3 .. 6 match: 3 H SD: 2.7032 cents 4 .. 8 match: 4 H SD: 1.2981 cents 5 .. 10 match: 5 H SD: 2.6207 cents 6 .. 12 match: 6 H SD: 6.1106 cents 7 .. 14 match: 7 H SD: 8.8340 cents 8 .. 16 match: 8 H SD: 5.3453 cents 9 .. 18 match: 9 H SD: 5.4933 cents 10 .. 20 match: 10 H SD: 5.1549 cents 11 .. 22 match: 11 H SD: 8.6028 cents 12 .. 24 match: 12 H SD: 5.0848 cents 13 .. 26 match: 13 H SD: 6.2943 cents 14 .. 28 match: 13 SD: 5.7547 cents 15 .. 30 match: 15 H SD: 4.4062 cents 16 .. 32 match: 16 H SD: 3.5859 cents 17 .. 34 match: 14 SD: 4.5756 cents 18 .. 36 match: 16 S SD: 4.2169 cents 19 .. 38 match: 15 SD: 3.9841 cents 20 .. 40 match: 18 SD: 3.6081 cents 21 .. 42 match: 17 SD: 4.1528 cents 22 .. 44 match: 15 SD: 4.4335 cents 23 .. 46 match: 19 SD: 3.2698 cents 24 .. 48 match: 17 SD: 2.7647 cents 25 .. 50 match: 18 SD: 2.4950 cents 26 .. 52 match: 18 SD: 3.3045 cents 27 .. 54 match: 18 SD: 2.7604 cents 28 .. 56 match: 17 SD: 2.3015 cents 29 .. 58 match: 18 SD: 3.0149 cents 30 .. 60 match: 19 SD: 2.5078 cents 31 .. 62 match: 18 SD: 3.0052 cents 32 .. 64 match: 19 SD: 2.4268 cents 33 .. 66 match: 17 SD: 2.2335 cents 34 .. 68 match: 18 SD: 2.9367 cents 35 .. 70 match: 18 SD: 2.1216 cents 36 .. 72 match: 18 SD: 2.1514 cents 39 .. 78 match: 19 SD: 2.0707 cents 40 .. 80 match: 19 SD: 1.7385 cents 42 .. 84 match: 19 SD: 1.4889 cents 48 .. 96 match: 19 SD: 1.4223 cents 58 .. 116 match: 19 SD: 1.3861 cents 59 .. 118 match: 19 SD: 1.3668 cents 60 .. 120 match: 19 SD: 1.1002 cents 65 .. 130 match: 19 SD: 1.0758 cents 67 .. 134 match: 19 SD: 1.0522 cents 68 .. 136 match: 19 SD: 1.0071 cents 71 .. 142 match: 19 SD: 0.9871 cents 77 .. 154 match: 19 SD: 0.9362 cents 83 .. 166 match: 19 SD: 0.8066 cents 87 .. 174 match: 19 SD: 0.7569 cents 100 .. 200 match: 19 SD: 0.7017 cents 101 .. 202 match: 19 SD: 0.6807 cents 103 .. 206 match: 19 SD: 0.6743 cents 107 .. 214 match: 19 SD: 0.6076 cents 117 .. 234 match: 19 SD: 0.5760 cents 127 .. 254 match: 19 SD: 0.5660 cents 128 .. 256 match: 19 SD: 0.5289 cents 133 .. 266 match: 19 SD: 0.4924 cents 143 .. 286 match: 19 SD: 0.4864 cents 147 .. 294 match: 19 SD: 0.4628 cents 159 .. 318 match: 19 SD: 0.4285 cents 170 .. 340 match: 19 SD: 0.4242 cents 172 .. 344 match: 19 SD: 0.3808 cents 175 .. 350 match: 19 SD: 0.3292 cents 216 .. 432 match: 19 SD: 0.3019 cents 235 .. 470 match: 19 SD: 0.2779 cents 236 .. 472 match: 19 SD: 0.2755 cents 259 .. 518 match: 19 SD: 0.2571 cents 260 .. 520 match: 19 SD: 0.2196 cents 305 .. 610 match: 19 SD: 0.2196 cents 321 .. 642 match: 19 SD: 0.2115 cents 323 .. 646 match: 19 SD: 0.2102 cents 331 .. 662 match: 19 SD: 0.1846 cents 347 .. 694 match: 19 SD: 0.1521 cents 388 .. 776 match: 19 SD: 0.1479 cents 454 .. 908 match: 19 SD: 0.1466 cents 489 .. 978 match: 19 SD: 0.1371 cents 496 .. 992 match: 19 SD: 0.1209 cents 547 .. 1094 match: 19 SD: 0.1201 cents 563 .. 1126 match: 19 SD: 0.1025 cents 581 .. 1162 match: 19 SD: 0.0997 cents