Scala analysis: dwarf17marveq
Semimarvelous dwarf: equal beating dwarf(<17 27 40|)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 70.248 cents 70.247930 2: 115.132 cents 115.131957 3: 185.380 cents 185.379887 4: 269.907 cents 269.906701 5: 314.791 cents 314.790728 6: 385.039 cents 385.038658 7: 500.171 cents 500.170615 8: 570.419 cents 570.418545 9: 615.303 cents 615.302572 10: 699.829 cents 699.829385 11: 770.077 cents 770.077316 12: 814.961 cents 814.961342 13: 885.209 cents 885.209272 14: 955.457 cents 955.457203 15: 1000.341 cents 1000.341229 16: 1084.868 cents 1084.868043 17: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.1320 cents 115.1320 1: 70.2479 cents 70.2479 2: 44.8840 cents 44.8840 3: 70.2479 cents 70.2479 4: 84.5268 cents 84.5268 5: 44.8840 cents 44.8840 6: 70.2479 cents 70.2479 7: 115.1320 cents 115.1320 8: 70.2479 cents 70.2479 9: 44.8840 cents 44.8840 10: 84.5268 cents 84.5268 11: 70.2479 cents 70.2479 12: 44.8840 cents 44.8840 13: 70.2479 cents 70.2479 14: 70.2479 cents 70.2479 15: 44.8840 cents 44.8840 16: 84.5268 cents 84.5268 17: 115.1320 cents 115.1320
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 44.88403 cents 1: 7 70.24793 cents 1: 3 84.52681 cents 1: 2 115.13196 cents 2: 7 115.13196 cents 2: 3 129.41084 cents 2: 1 140.49586 cents 2: 2 154.77474 cents 2: 3 185.37989 cents 2: 1 199.65877 cents 3: 4 185.37989 cents 3: 7 199.65877 cents 3: 3 230.26391 cents 3: 1 244.54280 cents 3: 1 255.62782 cents 3: 1 269.90670 cents 4: 1 230.26391 cents 4: 2 244.54280 cents 4: 1 255.62782 cents 4: 5 269.90670 cents 4: 3 300.51184 cents 4: 5 314.79073 cents 5: 1 300.51184 cents 5: 5 314.79073 cents 5: 1 340.15463 cents 5: 1 345.39587 cents 5: 1 359.67475 cents 5: 8 385.03866 cents 6: 5 385.03866 cents 6: 8 429.92268 cents 6: 3 455.28659 cents 6: 1 469.56547 cents 7: 1 429.92268 cents 7: 1 455.28659 cents 7: 1 469.56547 cents 7: 11 500.17061 cents 7: 3 514.44950 cents 8: 1 500.17061 cents 8: 1 514.44950 cents 8: 3 545.05464 cents 8: 1 559.33353 cents 8: 5 570.41854 cents 8: 5 584.69743 cents 8: 1 615.30257 cents 9: 1 584.69743 cents 9: 5 615.30257 cents 9: 5 629.58146 cents 9: 1 640.66647 cents 9: 3 654.94536 cents 9: 1 685.55050 cents 9: 1 699.82939 cents 10: 3 685.55050 cents 10: 11 699.82939 cents 10: 1 730.43453 cents 10: 1 744.71341 cents 10: 1 770.07732 cents 11: 1 730.43453 cents 11: 3 744.71341 cents 11: 8 770.07732 cents 11: 5 814.96134 cents 12: 8 814.96134 cents 12: 1 840.32525 cents 12: 1 854.60413 cents 12: 1 859.84537 cents 12: 5 885.20927 cents 12: 1 899.48816 cents 13: 5 885.20927 cents 13: 3 899.48816 cents 13: 5 930.09330 cents 13: 1 944.37218 cents 13: 2 955.45720 cents 13: 1 969.73609 cents 14: 1 930.09330 cents 14: 1 944.37218 cents 14: 1 955.45720 cents 14: 3 969.73609 cents 14: 7 1000.34123 cents 14: 4 1014.62011 cents 15: 1 1000.34123 cents 15: 3 1014.62011 cents 15: 2 1045.22526 cents 15: 1 1059.50414 cents 15: 3 1070.58916 cents 15: 7 1084.86804 cents 16: 2 1084.86804 cents 16: 3 1115.47319 cents 16: 7 1129.75207 cents 16: 5 1155.11597 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.50000 = 11/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 70.2 115.1 185.4 269.9 314.8 385.0 500.2 570.4 615.3 699.8 770.1 815.0 885.2 955.5 1000.3 1084.9 1200.0 70.2 : 44.9 115.1 199.7 244.5 314.8 429.9 500.2 545.1 629.6 699.8 744.7 815.0 885.2 930.1 1014.6 1129.8 1200.0 115.1 : 70.2 154.8 199.7 269.9 385.0 455.3 500.2 584.7 654.9 699.8 770.1 840.3 885.2 969.7 1084.9 1155.1 1200.0 185.4 : 84.5 129.4 199.7 314.8 385.0 429.9 514.4 584.7 629.6 699.8 770.1 815.0 899.5 1014.6 1084.9 1129.8 1200.0 269.9 : 44.9 115.1 230.3 300.5 345.4 429.9 500.2 545.1 615.3 685.6 730.4 815.0 930.1 1000.3 1045.2 1115.5 1200.0 314.8 : 70.2 185.4 255.6 300.5 385.0 455.3 500.2 570.4 640.7 685.6 770.1 885.2 955.5 1000.3 1070.6 1155.1 1200.0 385.0 : 115.1 185.4 230.3 314.8 385.0 429.9 500.2 570.4 615.3 699.8 815.0 885.2 930.1 1000.3 1084.9 1129.8 1200.0 500.2 : 70.2 115.1 199.7 269.9 314.8 385.0 455.3 500.2 584.7 699.8 770.1 815.0 885.2 969.7 1014.6 1084.9 1200.0 570.4 : 44.9 129.4 199.7 244.5 314.8 385.0 429.9 514.4 629.6 699.8 744.7 815.0 899.5 944.4 1014.6 1129.8 1200.0 615.3 : 84.5 154.8 199.7 269.9 340.2 385.0 469.6 584.7 654.9 699.8 770.1 854.6 899.5 969.7 1084.9 1155.1 1200.0 699.8 : 70.2 115.1 185.4 255.6 300.5 385.0 500.2 570.4 615.3 685.6 770.1 815.0 885.2 1000.3 1070.6 1115.5 1200.0 770.1 : 44.9 115.1 185.4 230.3 314.8 429.9 500.2 545.1 615.3 699.8 744.7 815.0 930.1 1000.3 1045.2 1129.8 1200.0 815.0 : 70.2 140.5 185.4 269.9 385.0 455.3 500.2 570.4 654.9 699.8 770.1 885.2 955.5 1000.3 1084.9 1155.1 1200.0 885.2 : 70.2 115.1 199.7 314.8 385.0 429.9 500.2 584.7 629.6 699.8 815.0 885.2 930.1 1014.6 1084.9 1129.8 1200.0 955.5 : 44.9 129.4 244.5 314.8 359.7 429.9 514.4 559.3 629.6 744.7 815.0 859.8 944.4 1014.6 1059.5 1129.8 1200.0 1000.3: 84.5 199.7 269.9 314.8 385.0 469.6 514.4 584.7 699.8 770.1 815.0 899.5 969.7 1014.6 1084.9 1155.1 1200.0 1084.9: 115.1 185.4 230.3 300.5 385.0 429.9 500.2 615.3 685.6 730.4 815.0 885.2 930.1 1000.3 1070.6 1115.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 44.8840 .. 115.1320 cents 70.24793 cents 44.88403 cents 2: 115.1320 .. 199.6588 cents 84.52681 cents 1/1, 0.0000 cents 3: 185.3799 .. 269.9067 cents 84.52681 cents -14.27888 cents 4: 230.2639 .. 314.7907 cents 84.52681 cents -39.64279 cents 5: 300.5118 .. 385.0387 cents 84.52681 cents -14.27888 cents 6: 385.0387 .. 469.5655 cents 84.52681 cents 1/1, 0.0000 cents 7: 429.9227 .. 514.4495 cents 84.52681 cents -39.64279 cents 8: 500.1706 .. 615.3026 cents 115.13196 cents -14.27888 cents 9: 584.6974 .. 699.8294 cents 115.13196 cents -30.60514 cents 10: 685.5505 .. 770.0773 cents 84.52681 cents -14.27888 cents 11: 730.4345 .. 814.9613 cents 84.52681 cents -39.64279 cents 12: 814.9613 .. 899.4882 cents 84.52681 cents 1/1, 0.0000 cents 13: 885.2093 .. 969.7361 cents 84.52681 cents -14.27888 cents 14: 930.0933 .. 1014.6201 cents 84.52681 cents -39.64279 cents 15: 1000.3412 .. 1084.8680 cents 84.52681 cents -14.27888 cents 16: 1084.8680 .. 1155.1160 cents 70.24793 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 44.88403 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 115.13196 cents Average / Smallest step : 1.572681 Largest / Average step : 1.631036 Largest / Smallest step : 2.565099 Median interval of one step : 70.24793 cents, amount: 7 Most common interval of one step : 70.24793 cents, amount: 7 Least squares average step : 68.52579 cents, oct.: 1164.93846 cents Scale is not proper Step pattern alph. order: ABACBADABCABAABCD Step pattern size order : BABCABDBACBABBACD Scale is not a Constant Structure Scale diversity : 1.354027 Lumma stability : 0.074807 Lumma impropriety factor : 0.229041 Number of different interval sizes : 56 = 3.50000 / class Number of one step interval sizes : 4 Highest interval variety : 7 Mean interval variety : 5.50000 = 11/2 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 5.24124 cents Most common intervals : 385.03866 cents & inv., amount: 13 Most common triad is 0.0 385.039 814.961 cents, amount: 9 Number of recognisable fifths : 12, average 699.8294 cents Formal octave complements present : 9 = 52.9412% -- Rational properties --
FIT/MODE
17: 0 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 2 N T3 SD: 42.3170 c. M: 70.2479 c. 18: 1 0 1 2 0 1 2 1 1 1 1 1 1 1 1 1 2 N D3 SD: 31.2869 c. M: 52.0466 c. 19: 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 N D3 S SD: 8.8457 c. M: 17.2751 c. 31: 2 1 2 2 1 2 3 2 1 2 2 1 2 2 1 2 3 N S SD: 5.5672 c. M:-12.2847 c. 48: 3 2 2 4 2 2 5 3 2 3 3 2 2 3 2 3 5 N SD: 7.3973 c. M: 10.3799 c. 49: 3 2 3 3 2 3 4 3 2 4 2 2 3 3 2 3 5 N SD: 6.6659 c. M: 10.8936 c. 50: 3 2 3 3 2 3 5 3 2 3 3 2 3 3 2 3 5 N G S SD: 4.6441 c. M:-8.6974 c. 53: 3 2 3 4 2 3 5 3 2 4 3 2 3 3 2 4 5 N SD: 2.7071 c. M: 4.5138 c. 72: 4 3 4 5 3 4 7 4 3 5 4 3 4 4 3 5 7 N SD: 2.4567 c. M: 5.4572 c. 84: 5 3 5 6 3 5 8 5 3 6 5 3 5 5 3 6 8 N SD: 0.8935 c. M:-1.6857 c. 156: 9 6 9 11 6 9 15 9 6 11 9 6 9 9 6 11 15 N SD: 0.6933 c. M: 1.6110 c. 187: 11 7 11 13 7 11 18 11 7 13 11 7 11 11 7 13 18 N SD: 0.4621 c. M:-0.7402 c. 240: 14 9 14 17 9 14 23 14 9 17 14 9 14 14 9 17 23 N SD: 0.2421 c. M: 0.4572 c. 427: 25 16 25 30 16 25 41 25 16 30 25 16 25 25 16 30 41 N SD: 0.0778 c. M:-0.1541 c. 667: 39 25 39 47 25 39 64 39 25 47 39 25 39 39 25 47 64 N SD: 0.0579 c. M: 0.1349 c. 751: 44 28 44 53 28 44 72 44 28 53 44 28 44 44 28 53 72 N SD: 0.0682 c. M:-0.1332 c. 1094: 64 41 64 77 41 64 105 64 41 77 64 41 64 64 41 77 105 N SD: 0.0389 c. M: 0.0712 c. 1178: 69 44 69 83 44 69 113 69 44 83 69 44 69 69 44 83 113 N SD: 0.0286 c. M:-0.0606 c. 1605: 94 60 94 113 60 94 154 94 60 113 94 60 94 94 60 113 154 N SD: 0.0268 c. M:-0.0568 c. 1845: 108 69 108 130 69 108 177 108 69 130 108 69 108 108 69 130 177 N SD: 0.0097 c. M: 0.0180 c. 2272: 133 85 133 160 85 133 218 133 85 160 133 85 133 133 85 160 218 N SD: 0.0071 c. M:-0.0143 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.0628 cents 3 .. 6 match: 3 H SD: 0.7632 cents 4 .. 8 match: 4 H SD: 3.3991 cents 5 .. 10 match: 5 H SD: 4.2254 cents 6 .. 12 match: 6 H SD: 5.9619 cents 7 .. 14 match: 7 H SD: 9.9340 cents 8 .. 16 match: 8 H SD: 4.9344 cents 9 .. 18 match: 9 H SD: 4.7645 cents 10 .. 20 match: 10 H SD: 6.9203 cents 11 .. 22 match: 11 H SD: 8.4726 cents 12 .. 24 match: 11 S SD: 4.5792 cents 13 .. 26 match: 12 S SD: 6.7542 cents 14 .. 28 match: 12 SD: 5.4634 cents 15 .. 30 match: 14 S SD: 4.6921 cents 16 .. 32 match: 15 S SD: 4.3616 cents 17 .. 34 match: 12 SD: 5.1131 cents 18 .. 36 match: 15 S SD: 3.4247 cents 19 .. 38 match: 15 S SD: 4.6486 cents 20 .. 40 match: 16 SD: 3.9738 cents 21 .. 42 match: 15 SD: 4.0389 cents 22 .. 44 match: 14 SD: 4.7054 cents 23 .. 46 match: 17 SD: 3.6466 cents 24 .. 48 match: 17 SD: 3.0420 cents 27 .. 54 match: 16 SD: 3.0975 cents 28 .. 56 match: 17 SD: 2.5531 cents 30 .. 60 match: 17 SD: 2.3748 cents 40 .. 80 match: 17 SD: 2.2351 cents 41 .. 82 match: 17 SD: 2.0044 cents 42 .. 84 match: 17 SD: 1.9160 cents 44 .. 88 match: 17 SD: 1.7955 cents 45 .. 90 match: 17 SD: 1.4875 cents 54 .. 108 match: 17 SD: 1.2899 cents 60 .. 120 match: 17 SD: 1.2718 cents 69 .. 138 match: 17 SD: 1.1350 cents 70 .. 140 match: 17 SD: 1.0387 cents 71 .. 142 match: 17 SD: 1.0048 cents 72 .. 144 match: 17 SD: 0.7918 cents 96 .. 192 match: 17 SD: 0.7238 cents 100 .. 200 match: 17 SD: 0.6591 cents 105 .. 210 match: 17 SD: 0.6543 cents 117 .. 234 match: 17 SD: 0.6405 cents 120 .. 240 match: 17 SD: 0.5936 cents 125 .. 250 match: 17 SD: 0.5336 cents 141 .. 282 match: 17 SD: 0.3924 cents 171 .. 342 match: 17 SD: 0.3905 cents 185 .. 370 match: 17 SD: 0.3805 cents 189 .. 378 match: 17 SD: 0.3764 cents 201 .. 402 match: 17 SD: 0.3585 cents 213 .. 426 match: 17 SD: 0.3542 cents 220 .. 440 match: 17 SD: 0.2616 cents 265 .. 530 match: 17 SD: 0.2472 cents 289 .. 578 match: 17 SD: 0.2220 cents 321 .. 642 match: 17 SD: 0.2156 cents 337 .. 674 match: 17 SD: 0.1961 cents 361 .. 722 match: 17 SD: 0.1330 cents 538 .. 1076 match: 17 SD: 0.1327 cents 550 .. 1100 match: 17 SD: 0.1203 cents 582 .. 1164 match: 17 SD: 0.0964 cents