Scala analysis: sensi19br1
Sensi[19] with a brat of 1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 76.257 cents 76.257331 2: 129.888 cents 129.888363 3: 206.146 cents 206.145694 4: 259.777 cents 259.776726 5: 336.034 cents 336.034057 6: 389.665 cents 389.665089 7: 443.296 cents 443.296121 8: 519.553 cents 519.553452 9: 573.184 cents 573.184484 10: 649.442 cents 649.441815 11: 703.073 cents 703.072847 12: 779.330 cents 779.330178 13: 832.961 cents 832.961210 14: 886.592 cents 886.592242 15: 962.850 cents 962.849573 16: 1016.481 cents 1016.480605 17: 1092.738 cents 1092.737936 18: 1146.369 cents 1146.368968 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 53.6310 cents 53.6310 1: 76.2573 cents 76.2573 2: 53.6310 cents 53.6310 3: 76.2573 cents 76.2573 4: 53.6310 cents 53.6310 5: 76.2573 cents 76.2573 6: 53.6310 cents 53.6310 7: 53.6310 cents 53.6310 8: 76.2573 cents 76.2573 9: 53.6310 cents 53.6310 10: 76.2573 cents 76.2573 11: 53.6310 cents 53.6310 12: 76.2573 cents 76.2573 13: 53.6310 cents 53.6310 14: 53.6310 cents 53.6310 15: 76.2573 cents 76.2573 16: 53.6310 cents 53.6310 17: 76.2573 cents 76.2573 18: 53.6310 cents 53.6310 19: 53.6310 cents 53.6310
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 53.63103 cents 1: 8 76.25733 cents 2: 3 107.26206 cents 2: 16 129.88836 cents 3: 14 183.51940 cents 3: 5 206.14569 cents 4: 6 237.15043 cents 4: 13 259.77673 cents 5: 17 313.40776 cents 5: 2 336.03406 cents 6: 9 367.03879 cents 6: 10 389.66509 cents 7: 1 420.66982 cents 7: 18 443.29612 cents 8: 12 496.92715 cents 8: 7 519.55345 cents 9: 4 550.55819 cents 9: 15 573.18448 cents 10: 15 626.81552 cents 10: 4 649.44181 cents 11: 7 680.44655 cents 11: 12 703.07285 cents 12: 18 756.70388 cents 12: 1 779.33018 cents 13: 10 810.33491 cents 13: 9 832.96121 cents 14: 2 863.96594 cents 14: 17 886.59224 cents 15: 13 940.22327 cents 15: 6 962.84957 cents 16: 5 993.85431 cents 16: 14 1016.48060 cents 17: 16 1070.11164 cents 17: 3 1092.73794 cents 18: 8 1123.74267 cents 18: 11 1146.36897 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
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 : 76.3 129.9 206.1 259.8 336.0 389.7 443.3 519.6 573.2 649.4 703.1 779.3 833.0 886.6 962.8 1016.5 1092.7 1146.4 1200.0 76.3 : 53.6 129.9 183.5 259.8 313.4 367.0 443.3 496.9 573.2 626.8 703.1 756.7 810.3 886.6 940.2 1016.5 1070.1 1123.7 1200.0 129.9 : 76.3 129.9 206.1 259.8 313.4 389.7 443.3 519.6 573.2 649.4 703.1 756.7 833.0 886.6 962.8 1016.5 1070.1 1146.4 1200.0 206.1 : 53.6 129.9 183.5 237.2 313.4 367.0 443.3 496.9 573.2 626.8 680.4 756.7 810.3 886.6 940.2 993.9 1070.1 1123.7 1200.0 259.8 : 76.3 129.9 183.5 259.8 313.4 389.7 443.3 519.6 573.2 626.8 703.1 756.7 833.0 886.6 940.2 1016.5 1070.1 1146.4 1200.0 336.0 : 53.6 107.3 183.5 237.2 313.4 367.0 443.3 496.9 550.6 626.8 680.4 756.7 810.3 864.0 940.2 993.9 1070.1 1123.7 1200.0 389.7 : 53.6 129.9 183.5 259.8 313.4 389.7 443.3 496.9 573.2 626.8 703.1 756.7 810.3 886.6 940.2 1016.5 1070.1 1146.4 1200.0 443.3 : 76.3 129.9 206.1 259.8 336.0 389.7 443.3 519.6 573.2 649.4 703.1 756.7 833.0 886.6 962.8 1016.5 1092.7 1146.4 1200.0 519.6 : 53.6 129.9 183.5 259.8 313.4 367.0 443.3 496.9 573.2 626.8 680.4 756.7 810.3 886.6 940.2 1016.5 1070.1 1123.7 1200.0 573.2 : 76.3 129.9 206.1 259.8 313.4 389.7 443.3 519.6 573.2 626.8 703.1 756.7 833.0 886.6 962.8 1016.5 1070.1 1146.4 1200.0 649.4 : 53.6 129.9 183.5 237.2 313.4 367.0 443.3 496.9 550.6 626.8 680.4 756.7 810.3 886.6 940.2 993.9 1070.1 1123.7 1200.0 703.1 : 76.3 129.9 183.5 259.8 313.4 389.7 443.3 496.9 573.2 626.8 703.1 756.7 833.0 886.6 940.2 1016.5 1070.1 1146.4 1200.0 779.3 : 53.6 107.3 183.5 237.2 313.4 367.0 420.7 496.9 550.6 626.8 680.4 756.7 810.3 864.0 940.2 993.9 1070.1 1123.7 1200.0 833.0 : 53.6 129.9 183.5 259.8 313.4 367.0 443.3 496.9 573.2 626.8 703.1 756.7 810.3 886.6 940.2 1016.5 1070.1 1146.4 1200.0 886.6 : 76.3 129.9 206.1 259.8 313.4 389.7 443.3 519.6 573.2 649.4 703.1 756.7 833.0 886.6 962.8 1016.5 1092.7 1146.4 1200.0 962.8 : 53.6 129.9 183.5 237.2 313.4 367.0 443.3 496.9 573.2 626.8 680.4 756.7 810.3 886.6 940.2 1016.5 1070.1 1123.7 1200.0 1016.5: 76.3 129.9 183.5 259.8 313.4 389.7 443.3 519.6 573.2 626.8 703.1 756.7 833.0 886.6 962.8 1016.5 1070.1 1146.4 1200.0 1092.7: 53.6 107.3 183.5 237.2 313.4 367.0 443.3 496.9 550.6 626.8 680.4 756.7 810.3 886.6 940.2 993.9 1070.1 1123.7 1200.0 1146.4: 53.6 129.9 183.5 259.8 313.4 389.7 443.3 496.9 573.2 626.8 703.1 756.7 833.0 886.6 940.2 1016.5 1070.1 1146.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 53.6310 .. 76.2573 cents 22.62630 cents 53.63103 cents 2: 107.2621 .. 129.8884 cents 22.62630 cents 31.00473 cents 3: 183.5194 .. 206.1457 cents 22.62630 cents 53.63103 cents 4: 237.1504 .. 259.7767 cents 22.62630 cents 31.00473 cents 5: 313.4078 .. 336.0341 cents 22.62630 cents 53.63103 cents 6: 367.0388 .. 389.6651 cents 22.62630 cents 31.00473 cents 7: 420.6698 .. 443.2961 cents 22.62630 cents 31.00473 cents 8: 496.9272 .. 519.5535 cents 22.62630 cents 53.63103 cents 9: 550.5582 .. 573.1845 cents 22.62630 cents 31.00473 cents 10: 626.8155 .. 649.4418 cents 22.62630 cents 53.63103 cents 11: 680.4465 .. 703.0728 cents 22.62630 cents 31.00473 cents 12: 756.7039 .. 779.3302 cents 22.62630 cents 53.63103 cents 13: 810.3349 .. 832.9612 cents 22.62630 cents 31.00473 cents 14: 863.9659 .. 886.5922 cents 22.62630 cents 31.00473 cents 15: 940.2233 .. 962.8496 cents 22.62630 cents 53.63103 cents 16: 993.8543 .. 1016.4806 cents 22.62630 cents 31.00473 cents 17: 1070.1116 .. 1092.7379 cents 22.62630 cents 53.63103 cents 18: 1123.7427 .. 1146.3690 cents 22.62630 cents 31.00473 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 53.63103 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 76.25733 cents Average / Smallest step : 1.177637 Largest / Average step : 1.207408 Largest / Smallest step : 1.421888 Median interval of one step : 53.63103 cents, amount: 11 Most common interval of one step : 53.63103 cents, amount: 11 Least squares average step : 63.95485 cents, oct.: 1215.14222 cents Scale is strictly proper Scale has Myhill's property chromas: 22.62630 cents and 31.00473 cents, ratio: 1.370296 generators: 7 of 443.29612 cents and 756.70388 cents ET pair of linear temperament : 19&46 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1432-tone equal temperament with octave 1200.000 cents degrees: 91 155 246 310 401 465 529 620 684 775 839 930 994 1058 1149 1213 1304 1368 1432 generators: 529 and 903 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABBABABABBABABB Step pattern size order : LSLSLSSLSLSLSSLSLSS Scale is a Constant Structure, by a margin of 31.00473 cents Scale diversity : 1.179205 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.660606 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 22.62630 cents Most common intervals : 443.29612 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 443.296 886.592 cents Most common triad is 0.0 443.296 756.704 cents, amount: 17 Number of recognisable fifths : 12, average 703.0728 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 : 1 = 5.2632% Limited inverse transpositions : 12 Inversional symmetry on degrees : 6 Inversional symmetry on intervals : 15-16 -- 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: 12.5465 c. M: 21.4354 c. 28: 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 P M ME S SD: 12.0964 c. M: 21.3094 c. 29: 2 1 2 1 2 1 2 2 1 2 1 2 1 1 2 2 1 2 1 P D3 SD: 11.4163 c. M:-18.3776 c. 31: 2 1 2 2 2 1 1 2 2 2 1 2 2 1 2 1 2 2 1 P D3 SD: 10.7359 c. M:-18.6517 c. 32: 2 1 2 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 P D3 SD: 10.4062 c. M: 18.6457 c. 34: 2 2 2 1 3 1 2 2 1 2 2 2 2 1 2 2 2 1 2 P D3 SD: 10.0556 c. M: 16.9572 c. 35: 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 1 2 P D3 S SD: 9.0356 c. M:-16.9272 c. 37: 2 2 2 2 2 2 2 2 2 2 2 2 2 1 3 1 3 1 2 P D3 S SD: 8.6305 c. M: 11.7097 c. 40: 3 1 3 2 2 2 2 2 2 3 1 3 2 2 2 2 2 2 2 P D3 S SD: 8.3488 c. M:-13.7427 c. 43: 3 2 2 2 3 2 2 3 2 2 2 3 2 2 3 1 3 2 2 SP D3 S SD: 7.7421 c. M:-13.8946 c. 46: 3 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 2 2 SP M ME S SD: 1.9190 c. M:-3.2785 c. 111: 7 5 7 5 7 5 5 7 5 7 5 7 5 5 7 5 7 5 5 SP M DE S SD: 0.5571 c. M: 0.9518 c. 157: 10 7 10 7 10 7 7 10 7 10 7 10 7 7 10 7 10 7 7 SP M DE S SD: 0.1684 c. M:-0.2877 c. 268: 17 12 17 12 17 12 12 17 12 17 12 17 12 12 17 12 17 12 12 SP M DE S SD: 0.1321 c. M: 0.2257 c. 425: 27 19 27 19 27 19 19 27 19 27 19 27 19 19 27 19 27 19 19 SP M DE S SD: 0.0211 c. M: 0.0361 c. 1007: 64 45 64 45 64 45 45 64 45 64 45 64 45 45 64 45 64 45 45 SP M DE S SD: 0.0084 c. M:-0.0144 c. 1432: 91 64 91 64 91 64 64 91 64 91 64 91 64 64 91 64 91 64 64 SP M DE S SD: 0.0003 c. M: 0.0006 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.5589 cents 3 .. 6 match: 3 H SD: 7.2080 cents 4 .. 8 match: 4 H SD: 1.7356 cents 5 .. 10 match: 5 H SD: 5.9182 cents 6 .. 12 match: 6 H SD: 6.6676 cents 7 .. 14 match: 7 H SD: 7.8905 cents 8 .. 16 match: 8 H SD: 3.0836 cents 9 .. 18 match: 9 H SD: 4.9909 cents 10 .. 20 match: 10 H SD: 5.9977 cents 11 .. 22 match: 11 H SD: 6.1958 cents 12 .. 24 match: 12 H SD: 4.7705 cents 13 .. 26 match: 13 H SD: 5.3395 cents 14 .. 28 match: 14 H SD: 4.6257 cents 15 .. 30 match: 15 H SD: 4.2178 cents 16 .. 32 match: 16 H SD: 4.1680 cents 17 .. 34 match: 16 S SD: 4.7103 cents 18 .. 36 match: 17 S SD: 3.3777 cents 19 .. 38 match: 17 S SD: 4.3111 cents 20 .. 40 match: 18 SD: 3.4899 cents 21 .. 42 match: 17 SD: 4.1007 cents 22 .. 44 match: 18 SD: 4.1062 cents 23 .. 46 match: 19 SD: 2.9743 cents 24 .. 48 match: 19 SD: 2.3088 cents 37 .. 74 match: 19 SD: 2.1444 cents 38 .. 76 match: 19 SD: 2.0085 cents 39 .. 78 match: 19 SD: 1.8868 cents 40 .. 80 match: 19 SD: 1.8265 cents 42 .. 84 match: 19 SD: 1.7398 cents 46 .. 92 match: 19 SD: 1.7319 cents 48 .. 96 match: 19 SD: 1.1973 cents 62 .. 124 match: 19 SD: 1.1741 cents 63 .. 126 match: 19 SD: 1.1378 cents 64 .. 128 match: 19 SD: 1.0969 cents 66 .. 132 match: 19 SD: 0.9480 cents 79 .. 158 match: 19 SD: 0.8234 cents 86 .. 172 match: 19 SD: 0.7568 cents 94 .. 188 match: 19 SD: 0.7063 cents 103 .. 206 match: 19 SD: 0.7057 cents 110 .. 220 match: 19 SD: 0.7046 cents 112 .. 224 match: 19 SD: 0.5552 cents 130 .. 260 match: 19 SD: 0.4990 cents 150 .. 300 match: 19 SD: 0.4792 cents 151 .. 302 match: 19 SD: 0.4724 cents 154 .. 308 match: 19 SD: 0.4500 cents 158 .. 316 match: 19 SD: 0.4235 cents 174 .. 348 match: 19 SD: 0.4158 cents 178 .. 356 match: 19 SD: 0.3456 cents 191 .. 382 match: 19 SD: 0.3355 cents 206 .. 412 match: 19 SD: 0.2967 cents 229 .. 458 match: 19 SD: 0.2741 cents 246 .. 492 match: 19 SD: 0.2634 cents 266 .. 532 match: 19 SD: 0.2562 cents 283 .. 566 match: 19 SD: 0.2516 cents 285 .. 570 match: 19 SD: 0.1892 cents 308 .. 616 match: 19 SD: 0.1421 cents 463 .. 926 match: 19 SD: 0.1391 cents 489 .. 978 match: 19 SD: 0.1253 cents 531 .. 1062 match: 19 SD: 0.1094 cents 555 .. 1110 match: 19 SD: 0.1033 cents