Scala analysis: rhombmarv
TOP Marvel version of rhomb.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 85.230 cents 85.229563 2: 115.635 cents 115.634597 3: 231.269 cents 231.269195 4: 268.546 cents 268.545555 5: 316.499 cents 316.498758 6: 384.180 cents 384.180152 7: 499.815 cents 499.814749 8: 547.768 cents 547.767953 9: 585.044 cents 585.044313 10: 615.449 cents 615.449347 11: 652.726 cents 652.725707 12: 700.679 cents 700.678910 13: 816.314 cents 816.313507 14: 883.995 cents 883.994902 15: 931.948 cents 931.948105 16: 969.224 cents 969.224465 17: 1084.859 cents 1084.859062 18: 1115.264 cents 1115.264096 19: 1200.494 cents 1200.493659
SHOW/INTERVAL
0: 85.2296 cents 85.2296 1: 85.2296 cents 85.2296 2: 30.4050 cents 30.4050 3: 115.6346 cents 115.6346 4: 37.2764 cents 37.2764 5: 47.9532 cents 47.9532 6: 67.6814 cents 67.6814 7: 115.6346 cents 115.6346 8: 47.9532 cents 47.9532 9: 37.2764 cents 37.2764 10: 30.4050 cents 30.4050 11: 37.2764 cents 37.2764 12: 47.9532 cents 47.9532 13: 115.6346 cents 115.6346 14: 67.6814 cents 67.6814 15: 47.9532 cents 47.9532 16: 37.2764 cents 37.2764 17: 115.6346 cents 115.6346 18: 30.4050 cents 30.4050 19: 85.2296 cents 85.2296
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 30.40503 cents 1: 4 37.27636 cents 1: 4 47.95320 cents 1: 2 67.68139 cents 1: 2 85.22956 cents 1: 4 115.63460 cents 2: 2 67.68139 cents 2: 4 85.22956 cents 2: 4 115.63460 cents 2: 2 146.03963 cents 2: 2 152.91096 cents 2: 2 163.58780 cents 2: 1 170.45913 cents 2: 2 183.31599 cents 3: 1 104.95775 cents 3: 2 115.63460 cents 3: 2 152.91096 cents 3: 2 183.31599 cents 3: 6 200.86416 cents 3: 6 231.26920 cents 4: 2 152.91096 cents 4: 5 231.26920 cents 4: 8 268.54555 cents 4: 2 279.22240 cents 4: 2 316.49876 cents 5: 1 200.86416 cents 5: 2 268.54555 cents 5: 4 298.95059 cents 5: 6 316.49876 cents 5: 2 346.90379 cents 5: 2 353.77512 cents 5: 2 384.18015 cents 6: 2 316.49876 cents 6: 2 336.22695 cents 6: 2 346.90379 cents 6: 2 353.77512 cents 6: 4 384.18015 cents 6: 2 401.72832 cents 6: 2 414.58519 cents 6: 2 432.13336 cents 6: 1 462.53839 cents 7: 6 384.18015 cents 7: 3 432.13335 cents 7: 2 462.53839 cents 7: 4 469.40972 cents 7: 4 499.81475 cents 8: 2 421.45651 cents 8: 2 432.13335 cents 8: 8 499.81475 cents 8: 1 537.09111 cents 8: 4 547.76795 cents 8: 2 585.04431 cents 9: 2 469.40971 cents 9: 2 530.21978 cents 9: 2 537.09111 cents 9: 2 547.76795 cents 9: 1 567.49614 cents 9: 4 585.04431 cents 9: 4 615.44935 cents 9: 2 632.99751 cents 10: 2 567.49614 cents 10: 4 585.04431 cents 10: 4 615.44935 cents 10: 1 632.99751 cents 10: 2 652.72571 cents 10: 2 663.40255 cents 10: 2 670.27387 cents 10: 2 731.08394 cents 11: 2 615.44935 cents 11: 4 652.72571 cents 11: 1 663.40255 cents 11: 8 700.67891 cents 11: 2 768.36030 cents 11: 2 779.03715 cents 12: 4 700.67891 cents 12: 4 731.08394 cents 12: 2 737.95527 cents 12: 3 768.36030 cents 12: 6 816.31351 cents 13: 1 737.95527 cents 13: 2 768.36030 cents 13: 2 785.90847 cents 13: 2 798.76534 cents 13: 4 816.31351 cents 13: 2 846.71854 cents 13: 2 853.58987 cents 13: 2 864.26671 cents 13: 2 883.99490 cents 14: 2 816.31351 cents 14: 2 846.71854 cents 14: 2 853.58987 cents 14: 6 883.99490 cents 14: 4 901.54307 cents 14: 2 931.94810 cents 14: 1 999.62950 cents 15: 2 883.99490 cents 15: 2 921.27126 cents 15: 8 931.94811 cents 15: 5 969.22446 cents 15: 2 1047.58270 cents 16: 6 969.22446 cents 16: 6 999.62950 cents 16: 2 1017.17767 cents 16: 2 1047.58270 cents 16: 2 1084.85906 cents 16: 1 1095.53590 cents 17: 2 1017.17767 cents 17: 1 1030.03453 cents 17: 2 1036.90586 cents 17: 2 1047.58270 cents 17: 2 1054.45403 cents 17: 4 1084.85906 cents 17: 4 1115.26410 cents 17: 2 1132.81227 cents 18: 4 1084.85906 cents 18: 2 1115.26410 cents 18: 2 1132.81227 cents 18: 4 1152.54046 cents 18: 4 1163.21730 cents 18: 3 1170.08863 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 6.66667 = 20/3
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 : 85.2 115.6 231.3 268.5 316.5 384.2 499.8 547.8 585.0 615.4 652.7 700.7 816.3 884.0 931.9 969.2 1084.9 1115.3 1200.5 85.2 : 30.4 146.0 183.3 231.3 299.0 414.6 462.5 499.8 530.2 567.5 615.4 731.1 798.8 846.7 884.0 999.6 1030.0 1115.3 1200.5 115.6 : 115.6 152.9 200.9 268.5 384.2 432.1 469.4 499.8 537.1 585.0 700.7 768.4 816.3 853.6 969.2 999.6 1084.9 1170.1 1200.5 231.3 : 37.3 85.2 152.9 268.5 316.5 353.8 384.2 421.5 469.4 585.0 652.7 700.7 738.0 853.6 884.0 969.2 1054.5 1084.9 1200.5 268.5 : 48.0 115.6 231.3 279.2 316.5 346.9 384.2 432.1 547.8 615.4 663.4 700.7 816.3 846.7 931.9 1017.2 1047.6 1163.2 1200.5 316.5 : 67.7 183.3 231.3 268.5 299.0 336.2 384.2 499.8 567.5 615.4 652.7 768.4 798.8 884.0 969.2 999.6 1115.3 1152.5 1200.5 384.2 : 115.6 163.6 200.9 231.3 268.5 316.5 432.1 499.8 547.8 585.0 700.7 731.1 816.3 901.5 931.9 1047.6 1084.9 1132.8 1200.5 499.8 : 48.0 85.2 115.6 152.9 200.9 316.5 384.2 432.1 469.4 585.0 615.4 700.7 785.9 816.3 931.9 969.2 1017.2 1084.9 1200.5 547.8 : 37.3 67.7 105.0 152.9 268.5 336.2 384.2 421.5 537.1 567.5 652.7 738.0 768.4 884.0 921.3 969.2 1036.9 1152.5 1200.5 585.0 : 30.4 67.7 115.6 231.3 299.0 346.9 384.2 499.8 530.2 615.4 700.7 731.1 846.7 884.0 931.9 999.6 1115.3 1163.2 1200.5 615.4 : 37.3 85.2 200.9 268.5 316.5 353.8 469.4 499.8 585.0 670.3 700.7 816.3 853.6 901.5 969.2 1084.9 1132.8 1170.1 1200.5 652.7 : 48.0 163.6 231.3 279.2 316.5 432.1 462.5 547.8 633.0 663.4 779.0 816.3 864.3 931.9 1047.6 1095.5 1132.8 1163.2 1200.5 700.7 : 115.6 183.3 231.3 268.5 384.2 414.6 499.8 585.0 615.4 731.1 768.4 816.3 884.0 999.6 1047.6 1084.9 1115.3 1152.5 1200.5 816.3 : 67.7 115.6 152.9 268.5 299.0 384.2 469.4 499.8 615.4 652.7 700.7 768.4 884.0 931.9 969.2 999.6 1036.9 1084.9 1200.5 884.0 : 48.0 85.2 200.9 231.3 316.5 401.7 432.1 547.8 585.0 633.0 700.7 816.3 864.3 901.5 931.9 969.2 1017.2 1132.8 1200.5 931.9 : 37.3 152.9 183.3 268.5 353.8 384.2 499.8 537.1 585.0 652.7 768.4 816.3 853.6 884.0 921.3 969.2 1084.9 1152.5 1200.5 969.2 : 115.6 146.0 231.3 316.5 346.9 462.5 499.8 547.8 615.4 731.1 779.0 816.3 846.7 884.0 931.9 1047.6 1115.3 1163.2 1200.5 1084.9: 30.4 115.6 200.9 231.3 346.9 384.2 432.1 499.8 615.4 663.4 700.7 731.1 768.4 816.3 931.9 999.6 1047.6 1084.9 1200.5 1115.3: 85.2 170.5 200.9 316.5 353.8 401.7 469.4 585.0 633.0 670.3 700.7 738.0 785.9 901.5 969.2 1017.2 1054.5 1170.1 1200.5 1200.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 30.4050 .. 115.6346 cents 85.22956 cents 30.40503 cents 2: 67.6814 .. 183.3160 cents 115.63460 cents -47.95320 cents 3: 104.9578 .. 231.2692 cents 126.31144 cents -78.35824 cents 4: 152.9110 .. 316.4988 cents 163.58780 cents -78.35824 cents 5: 200.8642 .. 384.1802 cents 183.31599 cents -115.63460 cents 6: 316.4988 .. 462.5384 cents 146.03963 cents -67.68139 cents 7: 384.1802 .. 499.8147 cents 115.63460 cents -78.35824 cents 8: 421.4565 .. 585.0443 cents 163.58780 cents -78.35824 cents 9: 469.4097 .. 632.9975 cents 163.58780 cents -115.63460 cents 10: 567.4961 .. 731.0839 cents 163.58780 cents -65.50137 cents 11: 615.4493 .. 779.0371 cents 163.58780 cents -115.63460 cents 12: 700.6789 .. 816.3135 cents 115.63460 cents -78.35824 cents 13: 737.9553 .. 883.9949 cents 146.03963 cents -78.35824 cents 14: 816.3135 .. 999.6295 cents 183.31599 cents -67.68139 cents 15: 883.9949 .. 1047.5827 cents 163.58780 cents -115.63460 cents 16: 969.2245 .. 1095.5359 cents 126.31144 cents -78.35824 cents 17: 1017.1777 .. 1132.8123 cents 115.63460 cents -78.35824 cents 18: 1084.8591 .. 1170.0886 cents 85.22956 cents -47.95320 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 30.40503 cents, class 1 Average step (divided formal octave): 63.1839 cents Largest one step interval : 115.63460 cents Average / Smallest step : 2.078073 Largest / Average step : 1.830128 Largest / Smallest step : 3.803140 Median interval of one step : 47.95320 cents, amount: 4 Least squares average step : 62.61639 cents, oct.: 1189.71144 cents Scale is not proper Step pattern alph. order: ABCDEFCEDBDECFEDCBA Step pattern size order : EAFBCDFCBABCFDCBFAE Scale is not a Constant Structure Scale diversity : 1.356318 Lumma stability : 0.050654 Lumma impropriety factor : 0.887244 Number of different interval sizes : 68 = 3.77778 / class Number of one step interval sizes : 6 Highest interval variety : 9 Mean interval variety : 6.66667 = 20/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 6.87132 cents Number of recognisable fifths : 12, average 700.6789 cents Number of recognisable fourths : 12, average 499.8147 cents Formal octave complements present : 19 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 1 2 0 1 1 2 1 0 1 0 1 2 1 1 0 2 1 1 N I SD: 14.7789 c. M:-22.0457 c. 22: 2 0 2 1 1 1 2 1 1 0 1 1 2 1 1 1 2 0 2 N I SD: 11.4073 c. M:-23.9062 c. 24: 2 0 3 0 1 2 2 1 1 0 1 1 2 2 1 0 3 0 2 N I SD: 14.2102 c. M: 18.8337 c. 26: 2 0 3 1 1 1 3 1 1 0 1 1 3 1 1 1 2 1 2 N SD: 11.4992 c. M: 23.2889 c. 27: 2 1 2 1 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 N I SD: 10.5723 c. M:-17.7536 c. 28: 2 1 2 1 1 2 3 1 1 0 1 1 3 2 1 1 2 1 2 N I SD: 12.1049 c. M: 16.8953 c. 29: 2 1 3 0 2 1 3 1 1 1 1 1 3 1 2 0 3 1 2 N I SD: 11.5198 c. M: 20.1676 c. 31: 2 1 3 1 1 2 3 1 1 1 1 1 3 2 1 1 3 1 2 N I SD: 4.4073 c. M:-7.7784 c. 41: 3 1 4 1 2 2 4 2 1 1 1 2 4 2 2 1 4 1 3 N I SD: 4.1619 c. M: 8.5584 c. 53: 4 1 5 2 2 3 5 2 2 1 2 2 5 3 2 2 5 1 4 N I SD: 3.3008 c. M:-5.3737 c. 72: 5 2 7 2 3 4 7 3 2 2 2 3 7 4 3 2 7 2 5 N I SD: 1.4992 c. M: 2.4583 c. 125: 9 3 12 4 5 7 12 5 4 3 4 5 12 7 5 4 12 3 9 N I SD: 0.6021 c. M:-1.2060 c. 197: 14 5 19 6 8 11 19 8 6 5 6 8 19 11 8 6 19 5 14 N I SD: 0.3222 c. M: 0.6809 c. 322: 23 8 31 10 13 18 31 13 10 8 10 13 31 18 13 10 31 8 23 N I SD: 0.2731 c. M:-0.5200 c. 353: 25 9 34 11 14 20 34 14 11 9 11 14 34 20 14 11 34 9 25 N I SD: 0.1439 c. M: 0.2340 c. 550: 39 14 53 17 22 31 53 22 17 14 17 22 53 31 22 17 53 14 39 N I SD: 0.0680 c. M:-0.1036 c. 675: 48 17 65 21 27 38 65 27 21 17 21 27 65 38 27 21 65 17 48 N I SD: 0.0656 c. M:-0.1389 c. 1028: 73 26 99 32 41 58 99 41 32 26 32 41 99 58 41 32 99 26 73 N I SD: 0.0358 c. M: 0.0719 c. 1225: 87 31 118 38 49 69 118 49 38 31 38 49 118 69 49 38 118 31 87 N I SD: 0.0265 c. M: 0.0492 c. 1578: 112 40 152 49 63 89 152 63 49 40 49 63 152 89 63 49 152 40 112 N I SD: 0.0126 c. M:-0.0234 c. 2253: 160 57 217 70 90 127 217 90 70 57 70 90 217 127 90 70 217 57 160 N I SD: 0.0124 c. M:-0.0252 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.4937 cents 2 .. 4 match: 2 H SD: 0.6841 cents 3 .. 6 match: 3 H SD: 0.6243 cents 4 .. 8 match: 4 H SD: 0.6414 cents 5 .. 10 match: 5 H SD: 9.7039 cents 6 .. 12 match: 6 H SD: 5.9346 cents 7 .. 14 match: 7 H SD: 8.9374 cents 8 .. 16 match: 8 H SD: 4.6194 cents 9 .. 18 match: 9 H SD: 9.4096 cents 10 .. 20 match: 10 H SD: 8.4060 cents 11 .. 22 match: 9 SD: 7.1174 cents 12 .. 24 match: 12 H SD: 4.1723 cents 13 .. 26 match: 12 SD: 5.5114 cents 14 .. 28 match: 13 SD: 5.0796 cents 15 .. 30 match: 13 S SD: 3.4098 cents 16 .. 32 match: 13 S SD: 4.4362 cents 17 .. 34 match: 13 SD: 4.9286 cents 18 .. 36 match: 13 SD: 3.9637 cents 19 .. 38 match: 13 S SD: 4.3021 cents 20 .. 40 match: 15 SD: 2.5747 cents 21 .. 42 match: 15 SD: 2.7162 cents 22 .. 44 match: 17 SD: 3.9629 cents 23 .. 46 match: 17 SD: 3.7983 cents 24 .. 48 match: 18 S SD: 2.7096 cents 25 .. 50 match: 17 SD: 3.1330 cents 26 .. 52 match: 17 SD: 3.5005 cents 27 .. 54 match: 16 SD: 3.1658 cents 28 .. 56 match: 19 SD: 2.6761 cents 29 .. 58 match: 18 SD: 2.8823 cents 30 .. 60 match: 18 SD: 2.0636 cents 31 .. 62 match: 17 SD: 2.7955 cents 32 .. 64 match: 17 SD: 2.2981 cents 33 .. 66 match: 18 SD: 2.4698 cents 34 .. 68 match: 18 SD: 2.8190 cents 35 .. 70 match: 18 SD: 1.8086 cents 36 .. 72 match: 18 SD: 2.1231 cents 40 .. 80 match: 19 SD: 1.5431 cents 48 .. 96 match: 19 SD: 1.4971 cents 50 .. 100 match: 18 SD: 1.7640 cents 52 .. 104 match: 19 SD: 1.6819 cents 53 .. 106 match: 19 SD: 1.5850 cents 54 .. 108 match: 19 SD: 1.3751 cents 56 .. 112 match: 19 SD: 1.2021 cents 60 .. 120 match: 19 SD: 1.0575 cents 70 .. 140 match: 19 SD: 1.0528 cents 72 .. 144 match: 19 SD: 0.9148 cents 83 .. 166 match: 19 SD: 0.8929 cents 84 .. 168 match: 19 SD: 0.6707 cents 100 .. 200 match: 19 SD: 0.6684 cents 105 .. 210 match: 19 SD: 0.6064 cents 119 .. 238 match: 19 SD: 0.6004 cents 120 .. 240 match: 19 SD: 0.5290 cents 140 .. 280 match: 19 SD: 0.4777 cents 155 .. 310 match: 19 SD: 0.4763 cents 156 .. 312 match: 19 SD: 0.4238 cents 161 .. 322 match: 19 SD: 0.3431 cents 201 .. 402 match: 19 SD: 0.2942 cents 216 .. 432 match: 19 SD: 0.2901 cents 234 .. 468 match: 19 SD: 0.2729 cents 244 .. 488 match: 19 SD: 0.2697 cents 258 .. 516 match: 19 SD: 0.2476 cents 274 .. 548 match: 19 SD: 0.2284 cents 279 .. 558 match: 19 SD: 0.2123 cents 293 .. 586 match: 19 SD: 0.1944 cents 314 .. 628 match: 19 SD: 0.1925 cents 335 .. 670 match: 19 SD: 0.1778 cents 358 .. 716 match: 19 SD: 0.1741 cents 393 .. 786 match: 19 SD: 0.1692 cents 419 .. 838 match: 19 SD: 0.1434 cents 435 .. 870 match: 19 SD: 0.1323 cents 495 .. 990 match: 19 SD: 0.1288 cents 537 .. 1074 match: 19 SD: 0.1194 cents 553 .. 1106 match: 19 SD: 0.1127 cents 597 .. 1194 match: 19 SD: 0.1120 cents