Scala analysis: trab19marv
1/4 kleismic tempered trab19
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.587 cents 115.587047 2: 200.054 cents 200.054240 3: 231.174 cents 231.174094 4: 268.799 cents 268.798786 5: 315.641 cents 315.641287 6: 384.386 cents 384.385833 7: 431.228 cents 431.228334 8: 499.973 cents 499.972880 9: 584.440 cents 584.440073 10: 615.560 cents 615.559927 11: 700.027 cents 700.027120 12: 768.772 cents 768.771666 13: 815.614 cents 815.614167 14: 884.359 cents 884.358713 15: 931.201 cents 931.201214 16: 968.826 cents 968.825906 17: 999.946 cents 999.945760 18: 1084.413 cents 1084.412953 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.5870 cents 115.5870 1: 115.5870 cents 115.5870 2: 84.4672 cents 84.4672 3: 31.1199 cents 31.1199 4: 37.6247 cents 37.6247 5: 46.8425 cents 46.8425 6: 68.7445 cents 68.7445 7: 46.8425 cents 46.8425 8: 68.7445 cents 68.7445 9: 84.4672 cents 84.4672 10: 31.1199 cents 31.1199 11: 84.4672 cents 84.4672 12: 68.7445 cents 68.7445 13: 46.8425 cents 46.8425 14: 68.7445 cents 68.7445 15: 46.8425 cents 46.8425 16: 37.6247 cents 37.6247 17: 31.1199 cents 31.1199 18: 84.4672 cents 84.4672 19: 115.5870 cents 115.5870
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 31.11985 cents 1: 2 37.62469 cents 1: 4 46.84250 cents 1: 4 68.74455 cents 1: 4 84.46719 cents 1: 2 115.58705 cents 2: 2 68.74455 cents 2: 2 84.46719 cents 2: 10 115.58705 cents 2: 2 153.21174 cents 2: 2 200.05424 cents 2: 1 231.17409 cents 3: 2 115.58705 cents 3: 4 153.21174 cents 3: 2 162.42955 cents 3: 4 184.33159 cents 3: 3 200.05424 cents 3: 2 231.17409 cents 3: 2 315.64129 cents 4: 2 184.33159 cents 4: 4 200.05424 cents 4: 4 231.17409 cents 4: 6 268.79879 cents 4: 2 346.76114 cents 4: 1 400.10848 cents 5: 2 231.17409 cents 5: 4 268.79879 cents 5: 2 299.91864 cents 5: 6 315.64129 cents 5: 1 337.54333 cents 5: 2 384.38583 cents 5: 2 431.22833 cents 6: 2 299.91864 cents 6: 2 315.64129 cents 6: 2 346.76114 cents 6: 2 353.26598 cents 6: 6 384.38583 cents 6: 2 431.22833 cents 6: 1 462.34819 cents 6: 2 468.85303 cents 7: 6 384.38583 cents 7: 5 431.22833 cents 7: 2 453.13038 cents 7: 4 499.97288 cents 7: 2 515.69553 cents 8: 2 415.50569 cents 8: 4 468.85303 cents 8: 6 499.97288 cents 8: 1 537.59757 cents 8: 4 546.81538 cents 8: 2 584.44007 cents 9: 4 499.97288 cents 9: 2 537.59757 cents 9: 2 546.81538 cents 9: 1 568.71743 cents 9: 4 584.44007 cents 9: 4 615.55993 cents 9: 2 631.28257 cents 10: 2 568.71743 cents 10: 4 584.44007 cents 10: 4 615.55993 cents 10: 1 631.28257 cents 10: 2 653.18462 cents 10: 2 662.40243 cents 10: 4 700.02712 cents 11: 2 615.55993 cents 11: 4 653.18462 cents 11: 1 662.40243 cents 11: 6 700.02712 cents 11: 4 731.14697 cents 11: 2 784.49431 cents 12: 2 684.30447 cents 12: 4 700.02712 cents 12: 2 746.86962 cents 12: 5 768.77167 cents 12: 6 815.61417 cents 13: 2 731.14697 cents 13: 1 737.65181 cents 13: 2 768.77167 cents 13: 6 815.61417 cents 13: 2 846.73402 cents 13: 2 853.23886 cents 13: 2 884.35871 cents 13: 2 900.08136 cents 14: 2 768.77167 cents 14: 2 815.61417 cents 14: 1 862.45667 cents 14: 6 884.35871 cents 14: 2 900.08136 cents 14: 4 931.20121 cents 14: 2 968.82591 cents 15: 1 799.89152 cents 15: 2 853.23886 cents 15: 6 931.20121 cents 15: 4 968.82591 cents 15: 4 999.94576 cents 15: 2 1015.66841 cents 16: 2 884.35871 cents 16: 2 968.82591 cents 16: 3 999.94576 cents 16: 4 1015.66841 cents 16: 2 1037.57045 cents 16: 4 1046.78826 cents 16: 2 1084.41295 cents 17: 1 968.82591 cents 17: 2 999.94576 cents 17: 2 1046.78826 cents 17: 10 1084.41295 cents 17: 2 1115.53281 cents 17: 2 1131.25545 cents 18: 2 1084.41295 cents 18: 4 1115.53281 cents 18: 4 1131.25545 cents 18: 4 1153.15750 cents 18: 2 1162.37531 cents 18: 3 1168.88015 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.44444 = 58/9
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 : 115.6 200.1 231.2 268.8 315.6 384.4 431.2 500.0 584.4 615.6 700.0 768.8 815.6 884.4 931.2 968.8 999.9 1084.4 1200.0 115.6 : 84.5 115.6 153.2 200.1 268.8 315.6 384.4 468.9 500.0 584.4 653.2 700.0 768.8 815.6 853.2 884.4 968.8 1084.4 1200.0 200.1 : 31.1 68.7 115.6 184.3 231.2 299.9 384.4 415.5 500.0 568.7 615.6 684.3 731.1 768.8 799.9 884.4 999.9 1115.5 1200.0 231.2 : 37.6 84.5 153.2 200.1 268.8 353.3 384.4 468.9 537.6 584.4 653.2 700.0 737.7 768.8 853.2 968.8 1084.4 1168.9 1200.0 268.8 : 46.8 115.6 162.4 231.2 315.6 346.8 431.2 500.0 546.8 615.6 662.4 700.0 731.1 815.6 931.2 1046.8 1131.3 1162.4 1200.0 315.6 : 68.7 115.6 184.3 268.8 299.9 384.4 453.1 500.0 568.7 615.6 653.2 684.3 768.8 884.4 999.9 1084.4 1115.5 1153.2 1200.0 384.4 : 46.8 115.6 200.1 231.2 315.6 384.4 431.2 500.0 546.8 584.4 615.6 700.0 815.6 931.2 1015.7 1046.8 1084.4 1131.3 1200.0 431.2 : 68.7 153.2 184.3 268.8 337.5 384.4 453.1 500.0 537.6 568.7 653.2 768.8 884.4 968.8 999.9 1037.6 1084.4 1153.2 1200.0 500.0 : 84.5 115.6 200.1 268.8 315.6 384.4 431.2 468.9 500.0 584.4 700.0 815.6 900.1 931.2 968.8 1015.7 1084.4 1131.3 1200.0 584.4 : 31.1 115.6 184.3 231.2 299.9 346.8 384.4 415.5 500.0 615.6 731.1 815.6 846.7 884.4 931.2 999.9 1046.8 1115.5 1200.0 615.6 : 84.5 153.2 200.1 268.8 315.6 353.3 384.4 468.9 584.4 700.0 784.5 815.6 853.2 900.1 968.8 1015.7 1084.4 1168.9 1200.0 700.0 : 68.7 115.6 184.3 231.2 268.8 299.9 384.4 500.0 615.6 700.0 731.1 768.8 815.6 884.4 931.2 999.9 1084.4 1115.5 1200.0 768.8 : 46.8 115.6 162.4 200.1 231.2 315.6 431.2 546.8 631.3 662.4 700.0 746.9 815.6 862.5 931.2 1015.7 1046.8 1131.3 1200.0 815.6 : 68.7 115.6 153.2 184.3 268.8 384.4 500.0 584.4 615.6 653.2 700.0 768.8 815.6 884.4 968.8 999.9 1084.4 1153.2 1200.0 884.4 : 46.8 84.5 115.6 200.1 315.6 431.2 515.7 546.8 584.4 631.3 700.0 746.9 815.6 900.1 931.2 1015.7 1084.4 1131.3 1200.0 931.2 : 37.6 68.7 153.2 268.8 384.4 468.9 500.0 537.6 584.4 653.2 700.0 768.8 853.2 884.4 968.8 1037.6 1084.4 1153.2 1200.0 968.8 : 31.1 115.6 231.2 346.8 431.2 462.3 500.0 546.8 615.6 662.4 731.1 815.6 846.7 931.2 999.9 1046.8 1115.5 1162.4 1200.0 999.9 : 84.5 200.1 315.6 400.1 431.2 468.9 515.7 584.4 631.3 700.0 784.5 815.6 900.1 968.8 1015.7 1084.4 1131.3 1168.9 1200.0 1084.4: 115.6 231.2 315.6 346.8 384.4 431.2 500.0 546.8 615.6 700.0 731.1 815.6 884.4 931.2 999.9 1046.8 1084.4 1115.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.1199 .. 115.5870 cents 84.46719 cents 31.11985 cents 2: 68.7445 .. 231.1741 cents 162.42955 cents -46.84250 cents 3: 115.5870 .. 315.6413 cents 200.05424 cents -115.58705 cents 4: 184.3316 .. 400.1085 cents 215.77689 cents -131.30969 cents 5: 231.1741 .. 431.2283 cents 200.05424 cents -168.93439 cents 6: 299.9186 .. 468.8530 cents 168.93439 cents -131.30969 cents 7: 384.3858 .. 515.6955 cents 131.30969 cents -84.46719 cents 8: 415.5057 .. 584.4401 cents 168.93439 cents -100.18984 cents 9: 499.9729 .. 631.2826 cents 131.30969 cents -84.46719 cents 10: 568.7174 .. 700.0271 cents 131.30969 cents -62.56515 cents 11: 615.5599 .. 784.4943 cents 168.93439 cents -84.46719 cents 12: 684.3045 .. 815.6142 cents 131.30969 cents -100.18984 cents 13: 731.1470 .. 900.0814 cents 168.93439 cents -84.46719 cents 14: 768.7717 .. 968.8259 cents 200.05424 cents -131.30969 cents 15: 799.8915 .. 1015.6684 cents 215.77689 cents -168.93439 cents 16: 884.3587 .. 1084.4130 cents 200.05424 cents -131.30969 cents 17: 968.8259 .. 1131.2555 cents 162.42955 cents -115.58705 cents 18: 1084.4130 .. 1168.8801 cents 84.46719 cents -46.84250 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 31.11985 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 115.58705 cents Average / Smallest step : 2.029505 Largest / Average step : 1.830128 Largest / Smallest step : 3.714254 Median interval of one step : 68.74455 cents, amount: 4 Least squares average step : 62.06485 cents, oct.: 1179.23218 cents Scale is not proper Step pattern alph. order: ABCDEFEFBCBFEFEDCBA Step pattern size order : FEABCDCDEAEDCDCBAEF Scale is not a Constant Structure Scale diversity : 1.325712 Lumma stability : 0.051866 Lumma impropriety factor : 0.885426 Number of different interval sizes : 60 = 3.33333 / class Number of one step interval sizes : 6 Highest interval variety : 8 Mean interval variety : 6.44444 = 58/9 Median interval variety : 5.5 Lowest interval variety : 5 Smallest interval difference : 6.50484 cents Number of recognisable fifths : 14, average 700.0271 cents Formal octave complements present : 19 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 2 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 N I SD: 12.0584 c. M:-21.4575 c. 22: 2 2 0 1 1 1 1 1 2 0 2 1 1 1 1 1 0 2 2 N I SD: 10.5009 c. M:-18.1276 c. 31: 3 2 1 1 1 2 1 2 2 1 2 2 1 2 1 1 1 2 3 N I SD: 3.9175 c. M: 6.5059 c. 53: 5 4 1 2 2 3 2 3 4 1 4 3 2 3 2 2 1 4 5 N I SD: 2.8121 c. M: 4.7590 c. 72: 7 5 2 2 3 4 3 4 5 2 5 4 3 4 3 2 2 5 7 N I SD: 1.3838 c. M: 2.1592 c. 103: 10 7 3 3 4 6 4 6 7 3 7 6 4 6 4 3 3 7 10 N I SD: 1.2464 c. M:-1.9960 c. 125: 12 9 3 4 5 7 5 7 9 3 9 7 5 7 5 4 3 9 12 N I SD: 0.8686 c. M:-1.5458 c. 156: 15 11 4 5 6 9 6 9 11 4 11 9 6 9 6 5 4 11 15 N I SD: 0.2820 c. M: 0.4591 c. 228: 22 16 6 7 9 13 9 13 16 6 16 13 9 13 9 7 6 16 22 N I SD: 0.2470 c. M: 0.4049 c. 384: 37 27 10 12 15 22 15 22 27 10 27 22 15 22 15 12 10 27 37 N I SD: 0.0439 c. M: 0.0759 c. 924: 89 65 24 29 36 53 36 53 65 24 65 53 36 53 36 29 24 65 89 N I SD: 0.0370 c. M: 0.0595 c. 1308: 126 92 34 41 51 75 51 75 92 34 92 75 51 75 51 41 34 92 126 N I SD: 0.0310 c. M:-0.0542 c. 1692: 163 119 44 53 66 97 66 97 119 44 119 97 66 97 66 53 44 119 163 N I SD: 0.0306 c. M: 0.0542 c. 1973: 190 139 51 62 77 113 77 113 139 51 139 113 77 113 77 62 51 139 190 N I SD: 0.0330 c. M:-0.0540 c. 2076: 200 146 54 65 81 119 81 119 146 54 146 119 81 119 81 65 54 146 200 N I SD: 0.0316 c. M:-0.0542 c. 2201: 212 155 57 69 86 126 86 126 155 57 155 126 86 126 86 69 57 155 212 N I SD: 0.0220 c. M:-0.0366 c. 2357: 227 166 61 74 92 135 92 135 166 61 166 135 92 135 92 74 61 166 227 N I SD: 0.0206 c. M: 0.0328 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.9639 cents 3 .. 6 match: 3 H SD: 0.6426 cents 4 .. 8 match: 4 H SD: 0.6816 cents 5 .. 10 match: 5 H SD: 3.5720 cents 6 .. 12 match: 6 H SD: 5.8681 cents 7 .. 14 match: 7 H SD: 2.7558 cents 8 .. 16 match: 8 H SD: 5.2365 cents 9 .. 18 match: 9 H SD: 5.0604 cents 10 .. 20 match: 10 H SD: 5.4358 cents 11 .. 22 match: 11 H SD: 8.2411 cents 12 .. 24 match: 11 S SD: 4.3898 cents 13 .. 26 match: 12 S SD: 6.5377 cents 14 .. 28 match: 13 S SD: 3.6653 cents 15 .. 30 match: 14 S SD: 4.2348 cents 16 .. 32 match: 15 S SD: 4.5047 cents 17 .. 34 match: 14 SD: 4.4124 cents 18 .. 36 match: 16 S SD: 3.4566 cents 19 .. 38 match: 14 SD: 5.2036 cents 20 .. 40 match: 18 SD: 4.0277 cents 21 .. 42 match: 16 SD: 3.8594 cents 22 .. 44 match: 15 SD: 4.3931 cents 23 .. 46 match: 18 SD: 3.7696 cents 24 .. 48 match: 17 SD: 2.5653 cents 25 .. 50 match: 18 SD: 2.7434 cents 26 .. 52 match: 17 SD: 3.6086 cents 27 .. 54 match: 18 SD: 2.9895 cents 28 .. 56 match: 19 SD: 2.4958 cents 29 .. 58 match: 17 SD: 2.6337 cents 30 .. 60 match: 17 SD: 2.4258 cents 31 .. 62 match: 18 SD: 2.5399 cents 32 .. 64 match: 18 SD: 2.0538 cents 37 .. 74 match: 18 SD: 2.5057 cents 38 .. 76 match: 18 SD: 2.3881 cents 39 .. 78 match: 19 SD: 2.2328 cents 40 .. 80 match: 19 SD: 1.6810 cents 42 .. 84 match: 19 SD: 1.6211 cents 45 .. 90 match: 18 SD: 1.5463 cents 48 .. 96 match: 19 SD: 1.4892 cents 54 .. 108 match: 19 SD: 1.4888 cents 55 .. 110 match: 19 SD: 1.4157 cents 56 .. 112 match: 19 SD: 1.1656 cents 60 .. 120 match: 19 SD: 1.0553 cents 70 .. 140 match: 19 SD: 1.0332 cents 72 .. 144 match: 19 SD: 0.8882 cents 84 .. 168 match: 19 SD: 0.6640 cents 100 .. 200 match: 19 SD: 0.6442 cents 105 .. 210 match: 19 SD: 0.5874 cents 120 .. 240 match: 19 SD: 0.5159 cents 131 .. 262 match: 19 SD: 0.5044 cents 132 .. 264 match: 19 SD: 0.4810 cents 141 .. 282 match: 19 SD: 0.4730 cents 145 .. 290 match: 19 SD: 0.4672 cents 155 .. 310 match: 19 SD: 0.4304 cents 156 .. 312 match: 19 SD: 0.3928 cents 161 .. 322 match: 19 SD: 0.3878 cents 173 .. 346 match: 19 SD: 0.3822 cents 188 .. 376 match: 19 SD: 0.3764 cents 189 .. 378 match: 19 SD: 0.3551 cents 201 .. 402 match: 19 SD: 0.3155 cents 204 .. 408 match: 19 SD: 0.3107 cents 229 .. 458 match: 19 SD: 0.2919 cents 244 .. 488 match: 19 SD: 0.2654 cents 251 .. 502 match: 19 SD: 0.2650 cents 261 .. 522 match: 19 SD: 0.2179 cents 279 .. 558 match: 19 SD: 0.2030 cents 335 .. 670 match: 19 SD: 0.1977 cents 349 .. 698 match: 19 SD: 0.1735 cents 379 .. 758 match: 19 SD: 0.1694 cents 406 .. 812 match: 19 SD: 0.1627 cents 434 .. 868 match: 19 SD: 0.1490 cents 435 .. 870 match: 19 SD: 0.1235 cents 490 .. 980 match: 19 SD: 0.1231 cents 540 .. 1080 match: 19 SD: 0.1124 cents 555 .. 1110 match: 19 SD: 0.1069 cents 580 .. 1160 match: 19 SD: 0.0982 cents 595 .. 1190 match: 19 SD: 0.0912 cents