Scala analysis: blaj
Detempered Blackjack in 1/4 kleismic marvel tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 37.625 cents 37.624693 2: 115.587 cents 115.587047 3: 153.212 cents 153.211740 4: 231.174 cents 231.174094 5: 268.799 cents 268.798786 6: 346.761 cents 346.761140 7: 384.386 cents 384.385833 8: 468.853 cents 468.853027 9: 499.973 cents 499.972880 10: 584.440 cents 584.440073 11: 615.560 cents 615.559927 12: 700.027 cents 700.027120 13: 731.147 cents 731.146973 14: 815.614 cents 815.614167 15: 853.239 cents 853.238860 16: 931.201 cents 931.201214 17: 968.826 cents 968.825906 18: 1046.788 cents 1046.788260 19: 1084.413 cents 1084.412953 20: 1162.375 cents 1162.375307 21: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 37.6247 cents 37.6247 1: 37.6247 cents 37.6247 2: 77.9624 cents 77.9624 3: 37.6247 cents 37.6247 4: 77.9624 cents 77.9624 5: 37.6247 cents 37.6247 6: 77.9624 cents 77.9624 7: 37.6247 cents 37.6247 8: 84.4672 cents 84.4672 9: 31.1199 cents 31.1199 10: 84.4672 cents 84.4672 11: 31.1199 cents 31.1199 12: 84.4672 cents 84.4672 13: 31.1199 cents 31.1199 14: 84.4672 cents 84.4672 15: 37.6247 cents 37.6247 16: 77.9624 cents 77.9624 17: 37.6247 cents 37.6247 18: 77.9624 cents 77.9624 19: 37.6247 cents 37.6247 20: 77.9624 cents 77.9624 21: 37.6247 cents 37.6247
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 31.11985 cents 1: 8 37.62469 cents 1: 6 77.96235 cents 1: 4 84.46719 cents 2: 1 75.24939 cents 2: 18 115.58705 cents 2: 2 122.09189 cents 3: 2 146.70690 cents 3: 10 153.21174 cents 3: 4 193.54940 cents 3: 5 200.05424 cents 4: 2 190.83643 cents 4: 15 231.17409 cents 4: 4 237.67893 cents 5: 1 262.29395 cents 5: 12 268.79879 cents 5: 2 309.13645 cents 5: 6 315.64129 cents 6: 3 306.42348 cents 6: 12 346.76114 cents 6: 6 353.26598 cents 7: 14 384.38583 cents 7: 7 431.22833 cents 8: 4 422.01053 cents 8: 9 462.34819 cents 8: 8 468.85303 cents 9: 12 499.97288 cents 9: 3 506.47772 cents 9: 6 546.81538 cents 10: 5 537.59757 cents 10: 6 577.93523 cents 10: 10 584.44007 cents 11: 10 615.55993 cents 11: 6 622.06477 cents 11: 5 662.40243 cents 12: 6 653.18462 cents 12: 3 693.52228 cents 12: 12 700.02712 cents 13: 8 731.14697 cents 13: 9 737.65181 cents 13: 4 777.98947 cents 14: 7 768.77167 cents 14: 14 815.61417 cents 15: 6 846.73402 cents 15: 12 853.23886 cents 15: 3 893.57652 cents 16: 6 884.35871 cents 16: 2 890.86355 cents 16: 12 931.20121 cents 16: 1 937.70605 cents 17: 4 962.32107 cents 17: 15 968.82591 cents 17: 2 1009.16357 cents 18: 5 999.94576 cents 18: 4 1006.45060 cents 18: 10 1046.78826 cents 18: 2 1053.29310 cents 19: 2 1077.90811 cents 19: 18 1084.41295 cents 19: 1 1124.75061 cents 20: 4 1115.53281 cents 20: 6 1122.03765 cents 20: 8 1162.37531 cents 20: 3 1168.88015 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.20000 = 16/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0.0 : 37.6 115.6 153.2 231.2 268.8 346.8 384.4 468.9 500.0 584.4 615.6 700.0 731.1 815.6 853.2 931.2 968.8 1046.8 1084.4 1162.4 1200.0 37.6 : 78.0 115.6 193.5 231.2 309.1 346.8 431.2 462.3 546.8 577.9 662.4 693.5 778.0 815.6 893.6 931.2 1009.2 1046.8 1124.8 1162.4 1200.0 115.6 : 37.6 115.6 153.2 231.2 268.8 353.3 384.4 468.9 500.0 584.4 615.6 700.0 737.7 815.6 853.2 931.2 968.8 1046.8 1084.4 1122.0 1200.0 153.2 : 78.0 115.6 193.5 231.2 315.6 346.8 431.2 462.3 546.8 577.9 662.4 700.0 778.0 815.6 893.6 931.2 1009.2 1046.8 1084.4 1162.4 1200.0 231.2 : 37.6 115.6 153.2 237.7 268.8 353.3 384.4 468.9 500.0 584.4 622.1 700.0 737.7 815.6 853.2 931.2 968.8 1006.5 1084.4 1122.0 1200.0 268.8 : 78.0 115.6 200.1 231.2 315.6 346.8 431.2 462.3 546.8 584.4 662.4 700.0 778.0 815.6 893.6 931.2 968.8 1046.8 1084.4 1162.4 1200.0 346.8 : 37.6 122.1 153.2 237.7 268.8 353.3 384.4 468.9 506.5 584.4 622.1 700.0 737.7 815.6 853.2 890.9 968.8 1006.5 1084.4 1122.0 1200.0 384.4 : 84.5 115.6 200.1 231.2 315.6 346.8 431.2 468.9 546.8 584.4 662.4 700.0 778.0 815.6 853.2 931.2 968.8 1046.8 1084.4 1162.4 1200.0 468.9 : 31.1 115.6 146.7 231.2 262.3 346.8 384.4 462.3 500.0 577.9 615.6 693.5 731.1 768.8 846.7 884.4 962.3 999.9 1077.9 1115.5 1200.0 500.0 : 84.5 115.6 200.1 231.2 315.6 353.3 431.2 468.9 546.8 584.4 662.4 700.0 737.7 815.6 853.2 931.2 968.8 1046.8 1084.4 1168.9 1200.0 584.4 : 31.1 115.6 146.7 231.2 268.8 346.8 384.4 462.3 500.0 577.9 615.6 653.2 731.1 768.8 846.7 884.4 962.3 999.9 1084.4 1115.5 1200.0 615.6 : 84.5 115.6 200.1 237.7 315.6 353.3 431.2 468.9 546.8 584.4 622.1 700.0 737.7 815.6 853.2 931.2 968.8 1053.3 1084.4 1168.9 1200.0 700.0 : 31.1 115.6 153.2 231.2 268.8 346.8 384.4 462.3 500.0 537.6 615.6 653.2 731.1 768.8 846.7 884.4 968.8 999.9 1084.4 1115.5 1200.0 731.1 : 84.5 122.1 200.1 237.7 315.6 353.3 431.2 468.9 506.5 584.4 622.1 700.0 737.7 815.6 853.2 937.7 968.8 1053.3 1084.4 1168.9 1200.0 815.6 : 37.6 115.6 153.2 231.2 268.8 346.8 384.4 422.0 500.0 537.6 615.6 653.2 731.1 768.8 853.2 884.4 968.8 999.9 1084.4 1115.5 1200.0 853.2 : 78.0 115.6 193.5 231.2 309.1 346.8 384.4 462.3 500.0 577.9 615.6 693.5 731.1 815.6 846.7 931.2 962.3 1046.8 1077.9 1162.4 1200.0 931.2 : 37.6 115.6 153.2 231.2 268.8 306.4 384.4 422.0 500.0 537.6 615.6 653.2 737.7 768.8 853.2 884.4 968.8 999.9 1084.4 1122.0 1200.0 968.8 : 78.0 115.6 193.5 231.2 268.8 346.8 384.4 462.3 500.0 577.9 615.6 700.0 731.1 815.6 846.7 931.2 962.3 1046.8 1084.4 1162.4 1200.0 1046.8: 37.6 115.6 153.2 190.8 268.8 306.4 384.4 422.0 500.0 537.6 622.1 653.2 737.7 768.8 853.2 884.4 968.8 1006.5 1084.4 1122.0 1200.0 1084.4: 78.0 115.6 153.2 231.2 268.8 346.8 384.4 462.3 500.0 584.4 615.6 700.0 731.1 815.6 846.7 931.2 968.8 1046.8 1084.4 1162.4 1200.0 1162.4: 37.6 75.2 153.2 190.8 268.8 306.4 384.4 422.0 506.5 537.6 622.1 653.2 737.7 768.8 853.2 890.9 968.8 1006.5 1084.4 1122.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.1199 .. 84.4672 cents 53.34734 cents 31.11985 cents 2: 75.2494 .. 122.0919 cents 46.84250 cents -9.21781 cents 3: 146.7069 .. 200.0542 cents 53.34734 cents 24.61501 cents 4: 190.8364 .. 237.6789 cents 46.84250 cents -9.21781 cents 5: 262.2939 .. 315.6413 cents 53.34734 cents 24.61501 cents 6: 306.4235 .. 353.2660 cents 46.84250 cents -9.21781 cents 7: 384.3858 .. 431.2283 cents 46.84250 cents 31.11985 cents 8: 422.0105 .. 468.8530 cents 46.84250 cents -9.21781 cents 9: 499.9729 .. 546.8154 cents 46.84250 cents 31.11985 cents 10: 537.5976 .. 584.4401 cents 46.84250 cents -9.21781 cents 11: 615.5599 .. 662.4024 cents 46.84250 cents 31.11985 cents 12: 653.1846 .. 700.0271 cents 46.84250 cents -9.21781 cents 13: 731.1470 .. 777.9895 cents 46.84250 cents 31.11985 cents 14: 768.7717 .. 815.6142 cents 46.84250 cents -9.21781 cents 15: 846.7340 .. 893.5765 cents 46.84250 cents 31.11985 cents 16: 884.3587 .. 937.7061 cents 53.34734 cents -9.21781 cents 17: 962.3211 .. 1009.1636 cents 46.84250 cents 24.61501 cents 18: 999.9458 .. 1053.2931 cents 53.34734 cents -9.21781 cents 19: 1077.9081 .. 1124.7506 cents 46.84250 cents 24.61501 cents 20: 1115.5328 .. 1168.8801 cents 53.34734 cents -9.21781 cents
SHOW DATA
Number of notes : 21 -- Interval properties -- Smallest interval : 31.11985 cents, class 1 Average step (divided formal octave): 57.1429 cents Largest one step interval : 84.46719 cents Average / Smallest step : 1.836219 Largest / Average step : 1.478176 Largest / Smallest step : 2.714254 Median interval of one step : 37.62469 cents, amount: 8 Most common interval of one step : 37.62469 cents, amount: 8 Least squares average step : 57.39044 cents, oct.: 1205.19926 cents Scale is not proper Step pattern alph. order: ABABABACDCDCDCABABABA Step pattern size order : BCBCBCBDADADADBCBCBCB Scale is a Constant Structure, by a margin of 2.71297 cents Scale diversity : 1.234809 Lumma stability : 0.263583 Lumma impropriety factor : 0.076815 Number of different interval sizes : 64 = 3.20000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.20000 = 16/5 Median interval variety : 2.5 Lowest interval variety : 2 Smallest interval difference : 2.71297 cents Most common intervals : 115.58705 cents & inv., amount: 18 Most common triad is 0.0 115.587 1084.413 cents, amount: 15 Number of recognisable fifths : 15, average 698.7262 cents Formal octave complements present : 21 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 10-11 -- Rational properties --
FIT/MODE
21: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 13.0119 c. M: 19.5182 c. 24: 1 1 1 2 0 2 1 1 1 2 0 2 1 1 1 2 0 2 1 1 1 N D3 I SD: 13.6837 c. M: 18.8530 c. 25: 1 1 1 2 1 1 1 2 0 2 1 2 0 2 1 1 1 2 1 1 1 N D3 I SD: 12.8474 c. M:-19.9729 c. 27: 1 2 0 2 1 2 1 2 0 2 1 2 0 2 1 2 1 2 0 2 1 N I SD: 12.8400 c. M: 20.0359 c. 28: 1 2 1 1 1 2 1 2 1 2 0 2 1 2 1 2 1 1 1 2 1 N D3 I SD: 11.6272 c. M: 18.2168 c. 31: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 P M ME I SD: 2.4646 c. M: 4.3369 c. 72: 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 N M DE I SD: 2.3240 c. M: 4.2914 c. 94: 3 6 3 6 3 6 3 7 2 7 2 7 2 7 3 6 3 6 3 6 3 N I SD: 1.8009 c. M: 3.4874 c. 103: 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 N M DE I SD: 1.8368 c. M: 2.8336 c. 125: 4 8 4 8 4 8 4 9 3 9 3 9 3 9 4 8 4 8 4 8 4 N I SD: 0.8357 c. M: 1.5470 c. 156: 5 10 5 10 5 10 5 11 4 11 4 11 4 11 5 10 5 10 5 10 5 N I SD: 0.4461 c. M: 0.8368 c. 228: 7 15 7 15 7 15 7 16 6 16 6 16 6 16 7 15 7 15 7 15 7 N I SD: 0.4294 c. M: 0.7826 c. 322: 10 21 10 21 10 21 10 23 8 23 8 23 8 23 10 21 10 21 10 21 10 N I SD: 0.4525 c. M: 0.7122 c. 353: 11 23 11 23 11 23 11 25 9 25 9 25 9 25 11 23 11 23 11 23 11 N I SD: 0.2044 c. M: 0.2688 c. 384: 12 25 12 25 12 25 12 27 10 27 10 27 10 27 12 25 12 25 12 25 12 N I SD: 0.0764 c. M: 0.1247 c. 893: 28 58 28 58 28 58 28 63 23 63 23 63 23 63 28 58 28 58 28 58 28 N I SD: 0.0673 c. M: 0.1279 c. 924: 29 60 29 60 29 60 29 65 24 65 24 65 24 65 29 60 29 60 29 60 29 N I SD: 0.0249 c. M: 0.0376 c. 1308: 41 85 41 85 41 85 41 92 34 92 34 92 34 92 41 85 41 85 41 85 41 N I SD: 0.0236 c. M: 0.0457 c. 2201: 69 143 69 143 69 143 69 155 57 155 57 155 57 155 69 143 69 143 69 143 69 N I SD: 0.0139 c. M: 0.0248 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: 10.3932 cents 4 .. 8 match: 4 H SD: 0.6816 cents 5 .. 10 match: 5 H SD: 8.5511 cents 6 .. 12 match: 6 H SD: 5.2340 cents 7 .. 14 match: 7 H SD: 7.0079 cents 8 .. 16 match: 8 H SD: 5.6240 cents 9 .. 18 match: 9 H SD: 7.3941 cents 10 .. 20 match: 10 H SD: 5.5321 cents 11 .. 22 match: 11 H SD: 7.0905 cents 12 .. 24 match: 12 H SD: 4.6130 cents 13 .. 26 match: 13 H SD: 5.4992 cents 14 .. 28 match: 14 H SD: 5.1835 cents 15 .. 30 match: 15 H SD: 5.0868 cents 16 .. 32 match: 15 S SD: 4.4050 cents 17 .. 34 match: 17 H SD: 4.3558 cents 18 .. 36 match: 15 SD: 3.8805 cents 19 .. 38 match: 16 SD: 4.1526 cents 20 .. 40 match: 18 SD: 3.9479 cents 21 .. 42 match: 17 SD: 4.1398 cents 22 .. 44 match: 16 SD: 3.0083 cents 23 .. 46 match: 20 SD: 3.1818 cents 24 .. 48 match: 19 SD: 3.4065 cents 25 .. 50 match: 17 SD: 3.0695 cents 26 .. 52 match: 18 SD: 3.4716 cents 27 .. 54 match: 21 SD: 3.2515 cents 28 .. 56 match: 20 SD: 2.3656 cents 29 .. 58 match: 20 SD: 2.7969 cents 30 .. 60 match: 20 SD: 2.1812 cents 31 .. 62 match: 20 SD: 2.5582 cents 32 .. 64 match: 20 SD: 2.0129 cents 34 .. 68 match: 19 SD: 2.6828 cents 35 .. 70 match: 21 SD: 2.0463 cents 36 .. 72 match: 21 SD: 1.9780 cents 37 .. 74 match: 19 SD: 2.2881 cents 40 .. 80 match: 21 SD: 1.7187 cents 41 .. 82 match: 21 SD: 1.7111 cents 42 .. 84 match: 21 SD: 1.3036 cents 55 .. 110 match: 21 SD: 1.2001 cents 63 .. 126 match: 21 SD: 1.1661 cents 68 .. 136 match: 21 SD: 1.1564 cents 71 .. 142 match: 21 SD: 1.1233 cents 72 .. 144 match: 21 SD: 0.8929 cents 77 .. 154 match: 21 SD: 0.7608 cents 84 .. 168 match: 21 SD: 0.7156 cents 90 .. 180 match: 21 SD: 0.7125 cents 96 .. 192 match: 21 SD: 0.6973 cents 99 .. 198 match: 21 SD: 0.6749 cents 100 .. 200 match: 21 SD: 0.6442 cents 118 .. 236 match: 21 SD: 0.6155 cents 119 .. 238 match: 21 SD: 0.5981 cents 125 .. 250 match: 21 SD: 0.5682 cents 126 .. 252 match: 21 SD: 0.5628 cents 129 .. 258 match: 21 SD: 0.5167 cents 131 .. 262 match: 21 SD: 0.4776 cents 132 .. 264 match: 21 SD: 0.4324 cents 141 .. 282 match: 21 SD: 0.4155 cents 161 .. 322 match: 21 SD: 0.4113 cents 171 .. 342 match: 21 SD: 0.3987 cents 173 .. 346 match: 21 SD: 0.3486 cents 184 .. 368 match: 21 SD: 0.3433 cents 185 .. 370 match: 21 SD: 0.3256 cents 209 .. 418 match: 21 SD: 0.3247 cents 215 .. 430 match: 21 SD: 0.3068 cents 225 .. 450 match: 21 SD: 0.2878 cents 229 .. 458 match: 21 SD: 0.2801 cents 257 .. 514 match: 21 SD: 0.2373 cents 261 .. 522 match: 21 SD: 0.2265 cents 279 .. 558 match: 21 SD: 0.2136 cents 302 .. 604 match: 21 SD: 0.2102 cents 316 .. 632 match: 21 SD: 0.1976 cents 347 .. 694 match: 21 SD: 0.1864 cents 364 .. 728 match: 21 SD: 0.1855 cents 377 .. 754 match: 21 SD: 0.1741 cents 379 .. 758 match: 21 SD: 0.1466 cents 419 .. 838 match: 21 SD: 0.1430 cents 421 .. 842 match: 21 SD: 0.1428 cents 447 .. 894 match: 21 SD: 0.1426 cents 463 .. 926 match: 21 SD: 0.1209 cents 495 .. 990 match: 21 SD: 0.1187 cents 518 .. 1036 match: 21 SD: 0.1174 cents 540 .. 1080 match: 21 SD: 0.1116 cents 550 .. 1100 match: 21 SD: 0.1091 cents 595 .. 1190 match: 21 SD: 0.0760 cents