Scala analysis: unimarv19
Unimarv[19] (Unidecimal marvel 225/224&385/384) hobbit in POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 66.692 cents 66.692010 2: 116.071 cents 116.070990 3: 200.777 cents 200.777350 4: 267.469 cents 267.469350 5: 316.848 cents 316.848330 6: 383.540 cents 383.540340 7: 432.919 cents 432.919320 8: 499.611 cents 499.611330 9: 584.318 cents 584.317690 10: 615.682 cents 615.682310 11: 700.389 cents 700.388670 12: 767.081 cents 767.080680 13: 816.460 cents 816.459660 14: 883.152 cents 883.151670 15: 932.531 cents 932.530650 16: 999.223 cents 999.222650 17: 1083.929 cents 1083.929010 18: 1133.308 cents 1133.307990 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 66.6920 cents 66.6920 1: 66.6920 cents 66.6920 2: 49.3790 cents 49.3790 3: 84.7064 cents 84.7064 4: 66.6920 cents 66.6920 5: 49.3790 cents 49.3790 6: 66.6920 cents 66.6920 7: 49.3790 cents 49.3790 8: 66.6920 cents 66.6920 9: 84.7064 cents 84.7064 10: 31.3646 cents 31.3646 11: 84.7064 cents 84.7064 12: 66.6920 cents 66.6920 13: 49.3790 cents 49.3790 14: 66.6920 cents 66.6920 15: 49.3790 cents 49.3790 16: 66.6920 cents 66.6920 17: 84.7064 cents 84.7064 18: 49.3790 cents 49.3790 19: 66.6920 cents 66.6920
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 31.36462 cents 1: 6 49.37898 cents 1: 8 66.69201 cents 1: 4 84.70636 cents 2: 12 116.07099 cents 2: 1 133.38402 cents 2: 2 134.08534 cents 2: 4 151.39836 cents 3: 2 165.44997 cents 3: 8 182.76299 cents 3: 9 200.77735 cents 4: 7 232.14197 cents 4: 2 250.15632 cents 4: 10 267.46935 cents 5: 4 298.83398 cents 5: 12 316.84833 cents 5: 3 334.16136 cents 6: 2 348.21296 cents 6: 2 366.22731 cents 6: 14 383.54034 cents 6: 1 401.55470 cents 7: 2 414.90496 cents 7: 9 432.91932 cents 7: 4 450.23235 cents 7: 4 468.24670 cents 8: 14 499.61133 cents 8: 4 517.62568 cents 8: 1 534.93870 cents 9: 6 548.99030 cents 9: 5 566.30333 cents 9: 8 584.31769 cents 10: 8 615.68231 cents 10: 5 633.69666 cents 10: 6 651.00969 cents 11: 1 665.06130 cents 11: 4 682.37432 cents 11: 14 700.38867 cents 12: 4 731.75330 cents 12: 4 749.76765 cents 12: 9 767.08068 cents 12: 2 785.09504 cents 13: 1 798.44530 cents 13: 14 816.45966 cents 13: 2 833.77269 cents 13: 2 851.78704 cents 14: 3 865.83864 cents 14: 12 883.15167 cents 14: 4 901.16602 cents 15: 10 932.53065 cents 15: 2 949.84368 cents 15: 7 967.85802 cents 16: 9 999.22265 cents 16: 8 1017.23700 cents 16: 2 1034.55003 cents 17: 4 1048.60164 cents 17: 2 1065.91466 cents 17: 1 1066.61598 cents 17: 12 1083.92901 cents 18: 4 1115.29364 cents 18: 8 1133.30799 cents 18: 6 1150.62102 cents 18: 1 1168.63538 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.44444 = 31/9
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 : 66.7 116.1 200.8 267.5 316.8 383.5 432.9 499.6 584.3 615.7 700.4 767.1 816.5 883.2 932.5 999.2 1083.9 1133.3 1200.0 66.7 : 49.4 134.1 200.8 250.2 316.8 366.2 432.9 517.6 549.0 633.7 700.4 749.8 816.5 865.8 932.5 1017.2 1066.6 1133.3 1200.0 116.1 : 84.7 151.4 200.8 267.5 316.8 383.5 468.2 499.6 584.3 651.0 700.4 767.1 816.5 883.2 967.9 1017.2 1083.9 1150.6 1200.0 200.8 : 66.7 116.1 182.8 232.1 298.8 383.5 414.9 499.6 566.3 615.7 682.4 731.8 798.4 883.2 932.5 999.2 1065.9 1115.3 1200.0 267.5 : 49.4 116.1 165.4 232.1 316.8 348.2 432.9 499.6 549.0 615.7 665.1 731.8 816.5 865.8 932.5 999.2 1048.6 1133.3 1200.0 316.8 : 66.7 116.1 182.8 267.5 298.8 383.5 450.2 499.6 566.3 615.7 682.4 767.1 816.5 883.2 949.8 999.2 1083.9 1150.6 1200.0 383.5 : 49.4 116.1 200.8 232.1 316.8 383.5 432.9 499.6 549.0 615.7 700.4 749.8 816.5 883.2 932.5 1017.2 1083.9 1133.3 1200.0 432.9 : 66.7 151.4 182.8 267.5 334.2 383.5 450.2 499.6 566.3 651.0 700.4 767.1 833.8 883.2 967.9 1034.6 1083.9 1150.6 1200.0 499.6 : 84.7 116.1 200.8 267.5 316.8 383.5 432.9 499.6 584.3 633.7 700.4 767.1 816.5 901.2 967.9 1017.2 1083.9 1133.3 1200.0 584.3 : 31.4 116.1 182.8 232.1 298.8 348.2 414.9 499.6 549.0 615.7 682.4 731.8 816.5 883.2 932.5 999.2 1048.6 1115.3 1200.0 615.7 : 84.7 151.4 200.8 267.5 316.8 383.5 468.2 517.6 584.3 651.0 700.4 785.1 851.8 901.2 967.9 1017.2 1083.9 1168.6 1200.0 700.4 : 66.7 116.1 182.8 232.1 298.8 383.5 432.9 499.6 566.3 615.7 700.4 767.1 816.5 883.2 932.5 999.2 1083.9 1115.3 1200.0 767.1 : 49.4 116.1 165.4 232.1 316.8 366.2 432.9 499.6 549.0 633.7 700.4 749.8 816.5 865.8 932.5 1017.2 1048.6 1133.3 1200.0 816.5 : 66.7 116.1 182.8 267.5 316.8 383.5 450.2 499.6 584.3 651.0 700.4 767.1 816.5 883.2 967.9 999.2 1083.9 1150.6 1200.0 883.2 : 49.4 116.1 200.8 250.2 316.8 383.5 432.9 517.6 584.3 633.7 700.4 749.8 816.5 901.2 932.5 1017.2 1083.9 1133.3 1200.0 932.5 : 66.7 151.4 200.8 267.5 334.2 383.5 468.2 534.9 584.3 651.0 700.4 767.1 851.8 883.2 967.9 1034.6 1083.9 1150.6 1200.0 999.2 : 84.7 134.1 200.8 267.5 316.8 401.6 468.2 517.6 584.3 633.7 700.4 785.1 816.5 901.2 967.9 1017.2 1083.9 1133.3 1200.0 1083.9: 49.4 116.1 182.8 232.1 316.8 383.5 432.9 499.6 549.0 615.7 700.4 731.8 816.5 883.2 932.5 999.2 1048.6 1115.3 1200.0 1133.3: 66.7 133.4 182.8 267.5 334.2 383.5 450.2 499.6 566.3 651.0 682.4 767.1 833.8 883.2 949.8 999.2 1065.9 1150.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.3646 .. 84.7064 cents 53.34174 cents 31.36462 cents 2: 116.0710 .. 151.3984 cents 35.32737 cents 31.36463 cents 3: 165.4500 .. 200.7773 cents 35.32738 cents 14.05161 cents 4: 232.1420 .. 267.4694 cents 35.32738 cents 31.36462 cents 5: 298.8340 .. 334.1614 cents 35.32738 cents 31.36463 cents 6: 348.2130 .. 401.5547 cents 53.34174 cents 14.05160 cents 7: 414.9050 .. 468.2467 cents 53.34174 cents 13.35026 cents 8: 499.6113 .. 534.9387 cents 35.32737 cents 31.36463 cents 9: 548.9903 .. 584.3177 cents 35.32739 cents 14.05160 cents 10: 615.6823 .. 651.0097 cents 35.32738 cents 31.36462 cents 11: 665.0613 .. 700.3887 cents 35.32737 cents 14.05161 cents 12: 731.7533 .. 785.0950 cents 53.34174 cents 31.36463 cents 13: 798.4453 .. 851.7870 cents 53.34174 cents 13.35026 cents 14: 865.8386 .. 901.1660 cents 35.32738 cents 14.05160 cents 15: 932.5306 .. 967.8580 cents 35.32737 cents 31.36463 cents 16: 999.2227 .. 1034.5500 cents 35.32738 cents 31.36463 cents 17: 1048.6016 .. 1083.9290 cents 35.32737 cents 14.05161 cents 18: 1115.2936 .. 1168.6354 cents 53.34174 cents 31.36463 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 31.36462 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 84.70636 cents Average / Smallest step : 2.013667 Largest / Average step : 1.341184 Largest / Smallest step : 2.700698 Median interval of one step : 66.69201 cents, amount: 8 Most common interval of one step : 66.69201 cents, amount: 8 Least squares average step : 63.07236 cents, oct.: 1198.37490 cents Scale is strictly proper Step pattern alph. order: ABCABABACDCABABACBA Step pattern size order : CBDCBCBCDADCBCBCDBC Scale is a Constant Structure, by a margin of 13.35026 cents Scale diversity : 1.369979 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.380018 Number of different interval sizes : 62 = 3.44444 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.44444 = 31/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.70132 cents Number of recognisable fifths : 14, average 700.3887 cents Best minor thirds form a closed circle Formal octave complements present : 19 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- 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: 9.4958 c. M: 15.8966 c. 31: 2 1 2 2 1 2 1 2 2 1 2 2 1 2 1 2 2 1 2 P M ME I SD: 5.8110 c. M: 10.7273 c. 41: 2 2 3 2 2 2 2 2 3 1 3 2 2 2 2 2 3 2 2 P D3 I SD: 4.3372 c. M:-8.1554 c. 53: 3 2 4 3 2 3 2 3 4 1 4 3 2 3 2 3 4 2 3 P I SD: 2.6593 c. M:-4.3616 c. 72: 4 3 5 4 3 4 3 4 5 2 5 4 3 4 3 4 5 3 4 SP I SD: 0.5593 c. M: 0.9844 c. 197: 11 8 14 11 8 11 8 11 14 5 14 11 8 11 8 11 14 8 11 SP I SD: 0.3298 c. M: 0.5510 c. 269: 15 11 19 15 11 15 11 15 19 7 19 15 11 15 11 15 19 11 15 SP I SD: 0.1321 c. M: 0.2225 c. 341: 19 14 24 19 14 19 14 19 24 9 24 19 14 19 14 19 24 14 19 SP I SD: 0.1154 c. M: 0.1908 c. 610: 34 25 43 34 25 34 25 34 43 16 43 34 25 34 25 34 43 25 34 SP I SD: 0.1037 c. M:-0.1932 c. 848: 47 35 60 47 35 47 35 47 60 22 60 47 35 47 35 47 60 35 47 SP I SD: 0.1089 c. M: 0.1826 c. 879: 49 36 62 49 36 49 36 49 62 23 62 49 36 49 36 49 62 36 49 SP I SD: 0.1078 c. M: 0.2022 c. 920: 51 38 65 51 38 51 38 51 65 24 65 51 38 51 38 51 65 38 51 SP I SD: 0.0905 c. M:-0.1703 c. 992: 55 41 70 55 41 55 41 55 70 26 70 55 41 55 41 55 70 41 55 SP I SD: 0.0934 c. M: 0.1598 c. 1117: 62 46 79 62 46 62 46 62 79 29 79 62 46 62 46 62 79 46 62 SP I SD: 0.0687 c. M:-0.1179 c. 1189: 66 49 84 66 49 66 49 66 84 31 84 66 49 66 49 66 84 49 66 SP I SD: 0.0457 c. M: 0.0814 c. 1261: 70 52 89 70 52 70 52 70 89 33 89 70 52 70 52 70 89 52 70 SP I SD: 0.0453 c. M: 0.0782 c. 1458: 81 60 103 81 60 81 60 81 103 38 103 81 60 81 60 81 103 60 81 SP I SD: 0.0266 c. M: 0.0457 c. 1530: 85 63 108 85 63 85 63 85 108 40 108 85 63 85 63 85 108 63 85 SP I SD: 0.0142 c. M: 0.0253 c. 1799: 100 74 127 100 74 100 74 100 127 47 127 100 74 100 74 100 127 74 100 SP I SD: 0.0080 c. M: 0.0126 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.7832 cents 3 .. 6 match: 3 H SD: 0.6592 cents 4 .. 8 match: 4 H SD: 7.6408 cents 5 .. 10 match: 5 H SD: 3.7417 cents 6 .. 12 match: 6 H SD: 5.7772 cents 7 .. 14 match: 7 H SD: 5.1888 cents 8 .. 16 match: 8 H SD: 6.4117 cents 9 .. 18 match: 9 H SD: 4.9952 cents 10 .. 20 match: 10 H SD: 5.2605 cents 11 .. 22 match: 11 H SD: 7.6929 cents 12 .. 24 match: 12 H SD: 4.7770 cents 13 .. 26 match: 13 H SD: 5.9638 cents 14 .. 28 match: 14 H SD: 4.0070 cents 15 .. 30 match: 15 H SD: 4.0978 cents 16 .. 32 match: 15 SD: 4.6187 cents 17 .. 34 match: 16 S SD: 4.4687 cents 18 .. 36 match: 17 S SD: 3.3920 cents 19 .. 38 match: 15 SD: 5.1767 cents 20 .. 40 match: 18 S SD: 4.1534 cents 21 .. 42 match: 17 SD: 3.8314 cents 22 .. 44 match: 17 SD: 4.1286 cents 23 .. 46 match: 19 SD: 3.5499 cents 24 .. 48 match: 18 SD: 2.4091 cents 27 .. 54 match: 18 SD: 2.9696 cents 28 .. 56 match: 19 SD: 2.5589 cents 29 .. 58 match: 18 SD: 2.7774 cents 30 .. 60 match: 19 SD: 2.2858 cents 32 .. 64 match: 19 SD: 2.1733 cents 40 .. 80 match: 19 SD: 1.8468 cents 42 .. 84 match: 19 SD: 1.6664 cents 45 .. 90 match: 19 SD: 1.6113 cents 48 .. 96 match: 19 SD: 1.5063 cents 54 .. 108 match: 19 SD: 1.2965 cents 56 .. 112 match: 19 SD: 1.1511 cents 60 .. 120 match: 19 SD: 1.1060 cents 70 .. 140 match: 19 SD: 1.0140 cents 72 .. 144 match: 19 SD: 0.9784 cents 74 .. 148 match: 19 SD: 0.9620 cents 80 .. 160 match: 19 SD: 0.9234 cents 84 .. 168 match: 19 SD: 0.7316 cents 101 .. 202 match: 19 SD: 0.6831 cents 105 .. 210 match: 19 SD: 0.6272 cents 120 .. 240 match: 19 SD: 0.5405 cents 129 .. 258 match: 19 SD: 0.4656 cents 149 .. 298 match: 19 SD: 0.4639 cents 154 .. 308 match: 19 SD: 0.4492 cents 155 .. 310 match: 19 SD: 0.4239 cents 161 .. 322 match: 19 SD: 0.3971 cents 174 .. 348 match: 19 SD: 0.3690 cents 185 .. 370 match: 19 SD: 0.3611 cents 186 .. 372 match: 19 SD: 0.3593 cents 197 .. 394 match: 19 SD: 0.3492 cents 201 .. 402 match: 19 SD: 0.3347 cents 204 .. 408 match: 19 SD: 0.3055 cents 229 .. 458 match: 19 SD: 0.2704 cents 251 .. 502 match: 19 SD: 0.2677 cents 269 .. 538 match: 19 SD: 0.2407 cents 275 .. 550 match: 19 SD: 0.2318 cents 299 .. 598 match: 19 SD: 0.2087 cents 307 .. 614 match: 19 SD: 0.2070 cents 334 .. 668 match: 19 SD: 0.1859 cents 335 .. 670 match: 19 SD: 0.1859 cents 359 .. 718 match: 19 SD: 0.1344 cents 433 .. 866 match: 19 SD: 0.1291 cents 461 .. 922 match: 19 SD: 0.1210 cents 503 .. 1006 match: 19 SD: 0.1045 cents 592 .. 1184 match: 19 SD: 0.1005 cents