Scala analysis: blackjb
marvel (1,1) tuning of pipedum_21b
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 34.143 cents 34.142571 2: 116.520 cents 116.519709 3: 150.662 cents 150.662280 4: 233.039 cents 233.039418 5: 267.182 cents 267.181988 6: 349.559 cents 349.559126 7: 383.702 cents 383.701697 8: 466.739 cents 466.739177 9: 500.221 cents 500.221406 10: 583.259 cents 583.258885 11: 616.741 cents 616.741115 12: 699.779 cents 699.778594 13: 733.261 cents 733.260823 14: 816.298 cents 816.298303 15: 850.441 cents 850.440874 16: 932.818 cents 932.818012 17: 966.961 cents 966.960582 18: 1049.338 cents 1049.337720 19: 1083.480 cents 1083.480291 20: 1116.963 cents 1116.962521 21: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 83.0375 cents 83.0375 1: 34.1426 cents 34.1426 2: 82.3771 cents 82.3771 3: 34.1426 cents 34.1426 4: 82.3771 cents 82.3771 5: 34.1426 cents 34.1426 6: 82.3771 cents 82.3771 7: 34.1426 cents 34.1426 8: 83.0375 cents 83.0375 9: 33.4822 cents 33.4822 10: 83.0375 cents 83.0375 11: 33.4822 cents 33.4822 12: 83.0375 cents 83.0375 13: 33.4822 cents 33.4822 14: 83.0375 cents 83.0375 15: 34.1426 cents 34.1426 16: 82.3771 cents 82.3771 17: 34.1426 cents 34.1426 18: 82.3771 cents 82.3771 19: 34.1426 cents 34.1426 20: 33.4822 cents 33.4822 21: 83.0375 cents 83.0375
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 33.48223 cents 1: 7 34.14257 cents 1: 5 82.37714 cents 1: 5 83.03748 cents 2: 1 67.62480 cents 2: 17 116.51971 cents 2: 3 117.18005 cents 3: 3 150.00194 cents 3: 9 150.66228 cents 3: 3 198.89685 cents 3: 6 199.55719 cents 4: 1 184.14451 cents 4: 1 184.80485 cents 4: 14 233.03942 cents 4: 5 233.69976 cents 5: 2 266.52165 cents 5: 11 267.18199 cents 5: 1 315.41656 cents 5: 7 316.07690 cents 6: 1 300.66422 cents 6: 2 301.32456 cents 6: 11 349.55913 cents 6: 7 350.21947 cents 7: 14 383.70170 cents 7: 7 432.59661 cents 8: 1 417.18393 cents 8: 3 417.84427 cents 8: 8 466.07884 cents 8: 9 466.73918 cents 9: 13 500.22141 cents 9: 2 500.88175 cents 9: 5 549.11631 cents 9: 1 549.77666 cents 10: 1 533.70364 cents 10: 4 534.36398 cents 10: 5 582.59854 cents 10: 11 583.25888 cents 11: 11 616.74112 cents 11: 5 617.40146 cents 11: 4 665.63602 cents 11: 1 666.29636 cents 12: 1 650.22334 cents 12: 5 650.88369 cents 12: 2 699.11825 cents 12: 13 699.77859 cents 13: 9 733.26082 cents 13: 8 733.92116 cents 13: 3 782.15573 cents 13: 1 782.81607 cents 14: 7 767.40339 cents 14: 14 816.29830 cents 15: 7 849.78053 cents 15: 11 850.44087 cents 15: 2 898.67544 cents 15: 1 899.33578 cents 16: 7 883.92310 cents 16: 1 884.58344 cents 16: 11 932.81801 cents 16: 2 933.47835 cents 17: 5 966.30024 cents 17: 14 966.96058 cents 17: 1 1015.19515 cents 17: 1 1015.85549 cents 18: 6 1000.44281 cents 18: 3 1001.10315 cents 18: 9 1049.33772 cents 18: 3 1049.99806 cents 19: 3 1082.81995 cents 19: 17 1083.48029 cents 19: 1 1132.37520 cents 20: 5 1116.96252 cents 20: 5 1117.62286 cents 20: 7 1165.85743 cents 20: 4 1166.51777 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.70000 = 37/10
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 : 34.1 116.5 150.7 233.0 267.2 349.6 383.7 466.7 500.2 583.3 616.7 699.8 733.3 816.3 850.4 932.8 967.0 1049.3 1083.5 1117.0 1200.0 34.1 : 82.4 116.5 198.9 233.0 315.4 349.6 432.6 466.1 549.1 582.6 665.6 699.1 782.2 816.3 898.7 932.8 1015.2 1049.3 1082.8 1165.9 1200.0 116.5 : 34.1 116.5 150.7 233.0 267.2 350.2 383.7 466.7 500.2 583.3 616.7 699.8 733.9 816.3 850.4 932.8 967.0 1000.4 1083.5 1117.6 1200.0 150.7 : 82.4 116.5 198.9 233.0 316.1 349.6 432.6 466.1 549.1 582.6 665.6 699.8 782.2 816.3 898.7 932.8 966.3 1049.3 1083.5 1165.9 1200.0 233.0 : 34.1 116.5 150.7 233.7 267.2 350.2 383.7 466.7 500.2 583.3 617.4 699.8 733.9 816.3 850.4 883.9 967.0 1001.1 1083.5 1117.6 1200.0 267.2 : 82.4 116.5 199.6 233.0 316.1 349.6 432.6 466.1 549.1 583.3 665.6 699.8 782.2 816.3 849.8 932.8 967.0 1049.3 1083.5 1165.9 1200.0 349.6 : 34.1 117.2 150.7 233.7 267.2 350.2 383.7 466.7 500.9 583.3 617.4 699.8 733.9 767.4 850.4 884.6 967.0 1001.1 1083.5 1117.6 1200.0 383.7 : 83.0 116.5 199.6 233.0 316.1 349.6 432.6 466.7 549.1 583.3 665.6 699.8 733.3 816.3 850.4 932.8 967.0 1049.3 1083.5 1165.9 1200.0 466.7 : 33.5 116.5 150.0 233.0 266.5 349.6 383.7 466.1 500.2 582.6 616.7 650.2 733.3 767.4 849.8 883.9 966.3 1000.4 1082.8 1117.0 1200.0 500.2 : 83.0 116.5 199.6 233.0 316.1 350.2 432.6 466.7 549.1 583.3 616.7 699.8 733.9 816.3 850.4 932.8 967.0 1049.3 1083.5 1166.5 1200.0 583.3 : 33.5 116.5 150.0 233.0 267.2 349.6 383.7 466.1 500.2 533.7 616.7 650.9 733.3 767.4 849.8 883.9 966.3 1000.4 1083.5 1117.0 1200.0 616.7 : 83.0 116.5 199.6 233.7 316.1 350.2 432.6 466.7 500.2 583.3 617.4 699.8 733.9 816.3 850.4 932.8 967.0 1050.0 1083.5 1166.5 1200.0 699.8 : 33.5 116.5 150.7 233.0 267.2 349.6 383.7 417.2 500.2 534.4 616.7 650.9 733.3 767.4 849.8 883.9 967.0 1000.4 1083.5 1117.0 1200.0 733.3 : 83.0 117.2 199.6 233.7 316.1 350.2 383.7 466.7 500.9 583.3 617.4 699.8 733.9 816.3 850.4 933.5 967.0 1050.0 1083.5 1166.5 1200.0 816.3 : 34.1 116.5 150.7 233.0 267.2 300.7 383.7 417.8 500.2 534.4 616.7 650.9 733.3 767.4 850.4 883.9 967.0 1000.4 1083.5 1117.0 1200.0 850.4 : 82.4 116.5 198.9 233.0 266.5 349.6 383.7 466.1 500.2 582.6 616.7 699.1 733.3 816.3 849.8 932.8 966.3 1049.3 1082.8 1165.9 1200.0 932.8 : 34.1 116.5 150.7 184.1 267.2 301.3 383.7 417.8 500.2 534.4 616.7 650.9 733.9 767.4 850.4 883.9 967.0 1000.4 1083.5 1117.6 1200.0 967.0 : 82.4 116.5 150.0 233.0 267.2 349.6 383.7 466.1 500.2 582.6 616.7 699.8 733.3 816.3 849.8 932.8 966.3 1049.3 1083.5 1165.9 1200.0 1049.3: 34.1 67.6 150.7 184.8 267.2 301.3 383.7 417.8 500.2 534.4 617.4 650.9 733.9 767.4 850.4 883.9 967.0 1001.1 1083.5 1117.6 1200.0 1083.5: 33.5 116.5 150.7 233.0 267.2 349.6 383.7 466.1 500.2 583.3 616.7 699.8 733.3 816.3 849.8 932.8 967.0 1049.3 1083.5 1165.9 1200.0 1117.0: 83.0 117.2 199.6 233.7 316.1 350.2 432.6 466.7 549.8 583.3 666.3 699.8 782.8 816.3 899.3 933.5 1015.9 1050.0 1132.4 1166.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 33.4822 .. 83.0375 cents 49.55525 cents 33.48223 cents 2: 67.6248 .. 117.1801 cents 49.55525 cents -15.41268 cents 3: 150.0019 .. 199.5572 cents 49.55525 cents 32.82189 cents 4: 184.1445 .. 233.6998 cents 49.55525 cents -15.41268 cents 5: 266.5216 .. 316.0769 cents 49.55525 cents 32.82189 cents 6: 300.6642 .. 350.2195 cents 49.55525 cents -15.41268 cents 7: 383.7017 .. 432.5966 cents 48.89491 cents 33.48223 cents 8: 417.1839 .. 466.7392 cents 49.55525 cents -15.41268 cents 9: 500.2214 .. 549.7767 cents 49.55525 cents 33.48223 cents 10: 533.7036 .. 583.2589 cents 49.55525 cents -16.07302 cents 11: 616.7411 .. 666.2964 cents 49.55525 cents 33.48223 cents 12: 650.2233 .. 699.7786 cents 49.55525 cents -16.07302 cents 13: 733.2608 .. 782.8161 cents 49.55525 cents 33.48223 cents 14: 767.4034 .. 816.2983 cents 48.89491 cents -15.41268 cents 15: 849.7805 .. 899.3358 cents 49.55525 cents 33.48223 cents 16: 883.9231 .. 933.4784 cents 49.55525 cents -15.41268 cents 17: 966.3002 .. 1015.8555 cents 49.55525 cents 32.82189 cents 18: 1000.4428 .. 1049.9981 cents 49.55525 cents -15.41268 cents 19: 1082.8199 .. 1132.3752 cents 49.55525 cents 32.82189 cents 20: 1116.9625 .. 1166.5178 cents 49.55525 cents -15.41268 cents
SHOW DATA
Number of notes : 21 -- Interval properties -- Smallest interval : 33.48223 cents, class 1 Average step (divided formal octave): 57.1429 cents Largest one step interval : 83.03748 cents Average / Smallest step : 1.706662 Largest / Average step : 1.453156 Largest / Smallest step : 2.480046 Median interval of one step : 34.14257 cents, amount: 7 Most common interval of one step : 34.14257 cents, amount: 7 Least squares average step : 57.11705 cents, oct.: 1199.45801 cents Scale is not proper Step pattern alph. order: ABABABACDCDCDCABABADC Step pattern size order : BCBCBCBDADADADBCBCBAD Scale is a Constant Structure, by a margin of 14.09200 cents Scale diversity : 1.206956 Lumma stability : 0.304719 Lumma impropriety factor : 0.129540 Number of different interval sizes : 74 = 3.70000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.70000 = 37/10 Median interval variety : 2.5 Lowest interval variety : 2 Smallest interval difference : 0.66034 cents Most common intervals : 116.51971 cents & inv., amount: 17 Most common triad is 0.0 116.520 1083.480 cents, amount: 14 Number of recognisable fifths : 15, average 699.6905 cents Formal octave complements present : 19 = 90.4762% Limited inverse transpositions with margin 49.5553 cents: 17 -- 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: 14.2756 c. M:-25.8946 c. 23: 1 1 1 1 1 2 0 2 1 1 1 1 1 2 0 2 1 1 1 0 2 N D3 SD: 14.9596 c. M:-24.3438 c. 24: 1 1 1 2 0 2 1 1 1 2 0 2 1 1 1 2 0 2 1 0 2 N D3 SD: 13.6352 c. M:-17.1820 c. 25: 1 1 1 2 1 1 1 2 0 2 1 2 0 2 1 1 1 2 1 0 2 N D3 SD: 13.6231 c. M:-20.8180 c. 26: 1 2 0 2 1 2 0 2 1 2 0 2 1 2 0 2 1 2 0 1 2 N T3 SD: 13.1111 c. M: 21.9418 c. 27: 1 2 0 2 1 2 1 2 0 2 1 2 1 1 1 2 1 2 0 1 2 N T3 SD: 12.8150 c. M:-22.2947 c. 28: 1 2 1 1 1 2 1 2 1 2 0 2 1 2 1 2 1 1 1 1 2 N D3 SD: 12.4195 c. M: 20.7663 c. 31: 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 P M ME S SD: 2.9673 c. M:-5.6181 c. 41: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 1 3 N M DE S SD: 2.8394 c. M: 4.8743 c. 72: 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 5 2 2 5 N M DE S SD: 0.3871 c. M: 0.8092 c. 175: 5 12 5 12 5 12 5 12 5 12 5 12 5 12 5 12 5 12 5 5 12 N M DE S SD: 0.3098 c. M:-0.7518 c. 247: 7 17 7 17 7 17 7 17 7 17 7 17 7 17 7 17 7 17 7 7 17 N M DE S SD: 0.2027 c. M:-0.4464 c. 319: 9 22 9 22 9 22 9 22 9 22 9 22 9 22 9 22 9 22 9 9 22 N M DE S SD: 0.1889 c. M: 0.2868 c. 885: 25 61 25 61 25 61 25 61 25 61 25 61 25 61 25 61 25 61 25 25 61 N M DE S SD: 0.1882 c. M:-0.3256 c. 979: 28 67 28 67 28 67 28 68 27 68 27 68 27 68 28 67 28 67 28 27 68 N SD: 0.1631 c. M: 0.3129 c. 1051: 30 72 30 72 30 72 30 73 29 73 29 73 29 73 30 72 30 72 30 29 73 N SD: 0.1451 c. M: 0.3117 c. 1082: 31 74 31 74 31 74 31 75 30 75 30 75 30 75 31 74 31 74 31 30 75 N SD: 0.1335 c. M:-0.2382 c. 1123: 32 77 32 77 32 77 32 78 31 78 31 78 31 78 32 77 32 77 32 31 78 N SD: 0.1338 c. M: 0.3107 c. 1154: 33 79 33 79 33 79 33 80 32 80 32 80 32 80 33 79 33 79 33 32 80 N SD: 0.1091 c. M:-0.1729 c. 1226: 35 84 35 84 35 84 35 85 34 85 34 85 34 85 35 84 35 84 35 34 85 N SD: 0.0909 c. M: 0.1599 c. 1298: 37 89 37 89 37 89 37 90 36 90 36 90 36 90 37 89 37 89 37 36 90 N SD: 0.0790 c. M: 0.1675 c. 1370: 39 94 39 94 39 94 39 95 38 95 38 95 38 95 39 94 39 94 39 38 95 N SD: 0.0736 c. M: 0.1742 c. 1401: 40 96 40 96 40 96 40 97 39 97 39 97 39 97 40 96 40 96 40 39 97 N SD: 0.0615 c. M:-0.1187 c. 1473: 42 101 42 101 42 101 42 102 41 102 41 102 41 102 42 101 42 101 42 41 102 N SD: 0.0447 c. M:-0.0733 c. 1545: 44 106 44 106 44 106 44 107 43 107 43 107 43 107 44 106 44 106 44 43 107 N SD: 0.0341 c. M: 0.0693 c. 1617: 46 111 46 111 46 111 46 112 45 112 45 112 45 112 46 111 46 111 46 45 112 N SD: 0.0326 c. M: 0.0794 c. 1720: 49 118 49 118 49 118 49 119 48 119 48 119 48 119 49 118 49 118 49 48 119 N SD: 0.0207 c. M:-0.0435 c. 1792: 51 123 51 123 51 123 51 124 50 124 50 124 50 124 51 123 51 123 51 50 124 N SD: 0.0043 c. M:-0.0092 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.0882 cents 3 .. 6 match: 3 H SD: 11.3292 cents 4 .. 8 match: 4 H SD: 0.9695 cents 5 .. 10 match: 5 H SD: 9.3066 cents 6 .. 12 match: 6 H SD: 5.6764 cents 7 .. 14 match: 7 H SD: 6.8330 cents 8 .. 16 match: 8 H SD: 5.5971 cents 9 .. 18 match: 9 H SD: 7.5900 cents 10 .. 20 match: 10 H SD: 5.2600 cents 11 .. 22 match: 11 H SD: 6.3037 cents 12 .. 24 match: 12 H SD: 3.7481 cents 13 .. 26 match: 13 H SD: 4.9359 cents 14 .. 28 match: 13 S SD: 4.7268 cents 15 .. 30 match: 14 S SD: 5.2817 cents 16 .. 32 match: 15 S SD: 4.7671 cents 17 .. 34 match: 16 S SD: 4.6594 cents 18 .. 36 match: 13 SD: 3.8947 cents 19 .. 38 match: 15 SD: 4.3003 cents 20 .. 40 match: 18 SD: 3.9756 cents 21 .. 42 match: 16 SD: 4.2405 cents 22 .. 44 match: 15 SD: 2.9012 cents 23 .. 46 match: 20 SD: 3.3682 cents 24 .. 48 match: 19 SD: 3.5347 cents 25 .. 50 match: 17 SD: 3.2586 cents 26 .. 52 match: 16 SD: 3.5748 cents 27 .. 54 match: 19 SD: 3.3165 cents 28 .. 56 match: 20 SD: 2.6554 cents 29 .. 58 match: 20 SD: 2.9925 cents 30 .. 60 match: 20 SD: 2.1865 cents 31 .. 62 match: 20 SD: 2.6554 cents 32 .. 64 match: 20 SD: 1.9427 cents 34 .. 68 match: 19 SD: 2.7029 cents 35 .. 70 match: 21 SD: 2.0217 cents 36 .. 72 match: 20 SD: 1.7098 cents 37 .. 74 match: 20 SD: 2.4151 cents 38 .. 76 match: 19 SD: 2.2033 cents 40 .. 80 match: 21 SD: 1.7108 cents 42 .. 84 match: 21 SD: 1.4113 cents 48 .. 96 match: 21 SD: 1.3900 cents 53 .. 106 match: 21 SD: 1.2568 cents 54 .. 108 match: 21 SD: 1.2471 cents 55 .. 110 match: 21 SD: 1.1089 cents 68 .. 136 match: 21 SD: 0.9460 cents 77 .. 154 match: 21 SD: 0.8974 cents 84 .. 168 match: 21 SD: 0.7043 cents 98 .. 196 match: 21 SD: 0.5842 cents 120 .. 240 match: 21 SD: 0.5660 cents 131 .. 262 match: 21 SD: 0.5653 cents 132 .. 264 match: 21 SD: 0.5623 cents 133 .. 266 match: 21 SD: 0.5217 cents 140 .. 280 match: 21 SD: 0.4728 cents 143 .. 286 match: 21 SD: 0.4616 cents 144 .. 288 match: 21 SD: 0.4580 cents 152 .. 304 match: 21 SD: 0.4541 cents 155 .. 310 match: 21 SD: 0.4378 cents 161 .. 322 match: 21 SD: 0.3583 cents 197 .. 394 match: 21 SD: 0.2999 cents 229 .. 458 match: 21 SD: 0.2884 cents 241 .. 482 match: 21 SD: 0.2697 cents 245 .. 490 match: 21 SD: 0.2246 cents 287 .. 574 match: 21 SD: 0.1898 cents 307 .. 614 match: 21 SD: 0.1895 cents 317 .. 634 match: 21 SD: 0.1832 cents 353 .. 706 match: 21 SD: 0.1716 cents 362 .. 724 match: 21 SD: 0.1645 cents 402 .. 804 match: 21 SD: 0.1449 cents 430 .. 860 match: 21 SD: 0.1371 cents 460 .. 920 match: 21 SD: 0.1265 cents 492 .. 984 match: 21 SD: 0.1209 cents 504 .. 1008 match: 21 SD: 0.1072 cents