Scala analysis: xen07-chalmers-meantone
19 of Meantone
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 76.000 cents 76.000000 2: 117.100 cents 117.100000 3: 193.200 cents 193.200000 4: 269.200 cents 269.200000 5: 310.300 cents 310.300000 6: 386.300 cents 386.300000 7: 462.400 cents 462.400000 8: 503.400 cents 503.400000 9: 579.500 cents 579.500000 10: 620.500 cents 620.500000 11: 696.600 cents 696.600000 12: 772.600 cents 772.600000 13: 813.700 cents 813.700000 14: 889.700 cents 889.700000 15: 965.800 cents 965.800000 16: 1006.800 cents 1006.800000 17: 1082.900 cents 1082.900000 18: 1158.900 cents 1158.900000 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 41.1000 cents 41.1000 1: 76.0000 cents 76.0000 2: 41.1000 cents 41.1000 3: 76.1000 cents 76.1000 4: 76.0000 cents 76.0000 5: 41.1000 cents 41.1000 6: 76.0000 cents 76.0000 7: 76.1000 cents 76.1000 8: 41.0000 cents 41.0000 9: 76.1000 cents 76.1000 10: 41.0000 cents 41.0000 11: 76.1000 cents 76.1000 12: 76.0000 cents 76.0000 13: 41.1000 cents 41.1000 14: 76.0000 cents 76.0000 15: 76.1000 cents 76.1000 16: 41.0000 cents 41.0000 17: 76.1000 cents 76.1000 18: 76.0000 cents 76.0000 19: 41.1000 cents 41.1000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 41.00000 cents 1: 4 41.10000 cents 1: 6 76.00000 cents 1: 6 76.10000 cents 2: 13 117.10000 cents 2: 1 117.20000 cents 2: 5 152.10000 cents 3: 1 158.10000 cents 3: 1 158.20000 cents 3: 7 193.10000 cents 3: 10 193.20000 cents 4: 7 234.20000 cents 4: 2 234.30000 cents 4: 10 269.20000 cents 5: 6 310.20000 cents 5: 10 310.30000 cents 5: 1 345.20000 cents 5: 2 345.30000 cents 6: 3 351.30000 cents 6: 1 351.40000 cents 6: 13 386.30000 cents 6: 2 386.40000 cents 7: 3 427.30000 cents 7: 8 427.40000 cents 7: 3 462.30000 cents 7: 5 462.40000 cents 8: 14 503.40000 cents 8: 4 503.50000 cents 8: 1 538.40000 cents 9: 1 544.40000 cents 9: 5 544.50000 cents 9: 4 579.40000 cents 9: 9 579.50000 cents 10: 9 620.50000 cents 10: 4 620.60000 cents 10: 5 655.50000 cents 10: 1 655.60000 cents 11: 1 661.60000 cents 11: 4 696.50000 cents 11: 14 696.60000 cents 12: 5 737.60000 cents 12: 3 737.70000 cents 12: 8 772.60000 cents 12: 3 772.70000 cents 13: 2 813.60000 cents 13: 13 813.70000 cents 13: 1 848.60000 cents 13: 3 848.70000 cents 14: 2 854.70000 cents 14: 1 854.80000 cents 14: 10 889.70000 cents 14: 6 889.80000 cents 15: 10 930.80000 cents 15: 2 965.70000 cents 15: 7 965.80000 cents 16: 10 1006.80000 cents 16: 7 1006.90000 cents 16: 1 1041.80000 cents 16: 1 1041.90000 cents 17: 5 1047.90000 cents 17: 1 1082.80000 cents 17: 13 1082.90000 cents 18: 6 1123.90000 cents 18: 6 1124.00000 cents 18: 4 1158.90000 cents 18: 3 1159.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.66667 = 11/3
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 : 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 76.0 : 41.1 117.2 193.2 234.3 310.3 386.4 427.4 503.5 544.5 620.6 696.6 737.7 813.7 889.8 930.8 1006.9 1082.9 1124.0 1200.0 117.1 : 76.1 152.1 193.2 269.2 345.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1200.0 193.2 : 76.0 117.1 193.1 269.2 310.2 386.3 427.3 503.4 579.4 620.5 696.5 772.6 813.6 889.7 965.7 1006.8 1082.8 1123.9 1200.0 269.2 : 41.1 117.1 193.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1047.9 1124.0 1200.0 310.3 : 76.0 152.1 193.1 269.2 310.2 386.3 462.3 503.4 579.4 655.5 696.5 772.6 848.6 889.7 965.7 1006.8 1082.9 1158.9 1200.0 386.3 : 76.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 930.8 1006.9 1082.9 1124.0 1200.0 462.4 : 41.0 117.1 158.1 234.2 310.2 351.3 427.3 503.4 544.4 620.5 696.5 737.6 813.6 854.7 930.8 1006.8 1047.9 1123.9 1200.0 503.4 : 76.1 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 813.7 889.8 965.8 1006.9 1082.9 1159.0 1200.0 579.5 : 41.0 117.1 193.1 234.2 310.2 386.3 427.3 503.4 579.4 620.5 696.5 737.6 813.7 889.7 930.8 1006.8 1082.9 1123.9 1200.0 620.5 : 76.1 152.1 193.2 269.2 345.3 386.3 462.4 538.4 579.5 655.5 696.6 772.7 848.7 889.8 965.8 1041.9 1082.9 1159.0 1200.0 696.6 : 76.0 117.1 193.1 269.2 310.2 386.3 462.3 503.4 579.4 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1123.9 1200.0 772.6 : 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 544.5 620.6 696.6 737.7 813.7 889.8 930.8 1006.9 1047.9 1124.0 1200.0 813.7 : 76.0 152.1 193.1 269.2 345.2 386.3 462.3 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 889.7 : 76.1 117.1 193.2 269.2 310.3 386.3 427.4 503.5 579.5 620.6 696.6 772.7 813.7 889.8 930.8 1006.9 1082.9 1124.0 1200.0 965.8 : 41.0 117.1 193.1 234.2 310.2 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 854.7 930.8 1006.8 1047.9 1123.9 1200.0 1006.8: 76.1 152.1 193.2 269.2 310.3 386.4 462.4 503.5 579.5 655.6 696.6 772.7 813.7 889.8 965.8 1006.9 1082.9 1159.0 1200.0 1082.9: 76.0 117.1 193.1 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1123.9 1200.0 1158.9: 41.1 117.1 158.2 234.3 310.3 351.4 427.4 503.5 544.5 620.6 661.6 737.7 813.7 854.8 930.8 1006.9 1047.9 1124.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 41.0000 .. 76.1000 cents 35.10000 cents 41.00000 cents 2: 117.1000 .. 152.1000 cents 35.00000 cents 41.00000 cents 3: 158.1000 .. 193.2000 cents 35.10000 cents 6.00000 cents 4: 234.2000 .. 269.2000 cents 35.00000 cents 41.00000 cents 5: 310.2000 .. 345.3000 cents 35.10000 cents 41.00000 cents 6: 351.3000 .. 386.4000 cents 35.10000 cents 6.00000 cents 7: 427.3000 .. 462.4000 cents 35.10000 cents 40.90000 cents 8: 503.4000 .. 538.4000 cents 35.00000 cents 41.00000 cents 9: 544.4000 .. 579.5000 cents 35.10000 cents 6.00000 cents 10: 620.5000 .. 655.6000 cents 35.10000 cents 41.00000 cents 11: 661.6000 .. 696.6000 cents 35.00000 cents 6.00000 cents 12: 737.6000 .. 772.7000 cents 35.10000 cents 41.00000 cents 13: 813.6000 .. 848.7000 cents 35.10000 cents 40.90000 cents 14: 854.7000 .. 889.8000 cents 35.10000 cents 6.00000 cents 15: 930.8000 .. 965.8000 cents 35.00000 cents 41.00000 cents 16: 1006.8000 .. 1041.9000 cents 35.10000 cents 41.00000 cents 17: 1047.9000 .. 1082.9000 cents 35.00000 cents 6.00000 cents 18: 1123.9000 .. 1159.0000 cents 35.10000 cents 41.00000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 41.00000 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 76.10000 cents Average / Smallest step : 1.540436 Largest / Average step : 1.204917 Largest / Smallest step : 1.856098 Median interval of one step : 76.00000 cents, amount: 6 Least squares average step : 63.62486 cents, oct.: 1208.87231 cents Scale is strictly proper Step pattern alph. order: ABCABACDCDCABACDCAB Step pattern size order : CBDCBCDADADCBCDADCB Scale is a Constant Structure, by a margin of 6.00000 cents Scale diversity : 1.184854 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.474000 Number of different interval sizes : 66 = 3.66667 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.66667 = 11/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.10000 cents Most common intervals : 503.40000 cents & inv., amount: 14 Most common triad is 0.0 503.400 696.600 cents, amount: 10 Number of recognisable fifths : 18, average 696.5778 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 13 = 68.4211% 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: 11.4989 c. M: 22.0579 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: 12.0233 c. M: 17.9556 c. 29: 2 1 2 2 1 1 2 1 2 1 2 2 1 2 1 1 2 2 1 P D3 SD: 11.9420 c. M:-20.7345 c. 30: 2 1 2 2 1 2 2 1 2 1 1 2 1 2 2 1 2 2 1 N D3 S SD: 11.8332 c. M:-20.5000 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: 1.2247 c. M:-2.3903 c. 112: 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7 4 7 7 4 SP M DE S SD: 0.9345 c. M: 1.7571 c. 143: 9 5 9 9 5 9 9 5 9 5 9 9 5 9 9 5 9 9 5 SP M DE S SD: 0.4670 c. M: 0.8615 c. 174: 11 6 11 11 6 11 11 6 11 6 11 11 6 11 11 6 11 11 6 SP M DE S SD: 0.1675 c. M: 0.3310 c. 205: 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 13 7 SP M DE S SD: 0.0536 c. M:-0.1244 c. 584: 37 20 37 37 20 37 37 20 37 20 37 37 20 37 37 20 37 37 20 SP M DE S SD: 0.0337 c. M: 0.0712 c. 789: 50 27 50 50 27 50 50 27 50 27 50 50 27 50 50 27 50 50 27 SP M DE S SD: 0.0289 c. M:-0.0456 c. 1783: 113 61 113 113 61 113 113 61 113 61 113 113 61 113 113 61 113 113 61 SP M DE S SD: 0.0292 c. M:-0.0516 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.6775 cents 3 .. 6 match: 3 H SD: 2.5211 cents 4 .. 8 match: 4 H SD: 1.5377 cents 5 .. 10 match: 5 H SD: 2.4832 cents 6 .. 12 match: 6 H SD: 5.8120 cents 7 .. 14 match: 7 H SD: 8.4369 cents 8 .. 16 match: 8 H SD: 5.1468 cents 9 .. 18 match: 9 H SD: 5.3444 cents 10 .. 20 match: 10 H SD: 5.1801 cents 11 .. 22 match: 11 H SD: 8.4656 cents 12 .. 24 match: 12 H SD: 4.8471 cents 13 .. 26 match: 13 H SD: 5.8990 cents 14 .. 28 match: 14 H SD: 5.6382 cents 15 .. 30 match: 15 H SD: 4.2188 cents 16 .. 32 match: 16 H SD: 3.4851 cents 17 .. 34 match: 14 SD: 4.5685 cents 18 .. 36 match: 16 S SD: 3.7420 cents 19 .. 38 match: 15 SD: 4.0369 cents 20 .. 40 match: 18 SD: 3.3717 cents 21 .. 42 match: 17 SD: 4.0067 cents 22 .. 44 match: 16 SD: 4.4165 cents 23 .. 46 match: 19 SD: 3.1601 cents 24 .. 48 match: 17 SD: 2.6772 cents 25 .. 50 match: 18 SD: 2.4742 cents 27 .. 54 match: 18 SD: 2.6447 cents 28 .. 56 match: 18 SD: 2.6934 cents 30 .. 60 match: 19 SD: 2.4411 cents 33 .. 66 match: 18 SD: 2.6444 cents 34 .. 68 match: 18 SD: 2.9247 cents 35 .. 70 match: 18 SD: 2.1821 cents 39 .. 78 match: 19 SD: 2.1197 cents 40 .. 80 match: 19 SD: 1.7956 cents 41 .. 82 match: 19 SD: 1.7771 cents 42 .. 84 match: 19 SD: 1.5772 cents 48 .. 96 match: 19 SD: 1.4586 cents 53 .. 106 match: 19 SD: 1.4536 cents 58 .. 116 match: 19 SD: 1.4383 cents 59 .. 118 match: 19 SD: 1.3388 cents 60 .. 120 match: 19 SD: 1.0266 cents 68 .. 136 match: 19 SD: 0.9838 cents 71 .. 142 match: 19 SD: 0.9080 cents 83 .. 166 match: 19 SD: 0.7910 cents 85 .. 170 match: 19 SD: 0.7253 cents 91 .. 182 match: 19 SD: 0.7245 cents 95 .. 190 match: 19 SD: 0.7235 cents 101 .. 202 match: 19 SD: 0.7024 cents 107 .. 214 match: 19 SD: 0.6792 cents 112 .. 224 match: 19 SD: 0.6171 cents 113 .. 226 match: 19 SD: 0.5771 cents 127 .. 254 match: 19 SD: 0.5577 cents 128 .. 256 match: 19 SD: 0.4847 cents 137 .. 274 match: 19 SD: 0.4706 cents 143 .. 286 match: 19 SD: 0.4655 cents 153 .. 306 match: 19 SD: 0.3804 cents 183 .. 366 match: 19 SD: 0.3644 cents 202 .. 404 match: 19 SD: 0.3557 cents 204 .. 408 match: 19 SD: 0.3260 cents 213 .. 426 match: 19 SD: 0.3139 cents 228 .. 456 match: 19 SD: 0.2654 cents 244 .. 488 match: 19 SD: 0.2423 cents 272 .. 544 match: 19 SD: 0.2412 cents 285 .. 570 match: 19 SD: 0.2274 cents 297 .. 594 match: 19 SD: 0.2000 cents 327 .. 654 match: 19 SD: 0.1967 cents 332 .. 664 match: 19 SD: 0.1836 cents 356 .. 712 match: 19 SD: 0.1791 cents 357 .. 714 match: 19 SD: 0.1679 cents 388 .. 776 match: 19 SD: 0.1679 cents 398 .. 796 match: 19 SD: 0.1678 cents 427 .. 854 match: 19 SD: 0.1493 cents 448 .. 896 match: 19 SD: 0.1335 cents 468 .. 936 match: 19 SD: 0.1303 cents 515 .. 1030 match: 19 SD: 0.1189 cents 559 .. 1118 match: 19 SD: 0.1186 cents 576 .. 1152 match: 19 SD: 0.1129 cents