Scala analysis: diam7pluswoo
Contains 7-limit diamond; in [10/3 7/2 11] marvel woo tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 116.230 cents 116.230270 2: 200.697 cents 200.697460 3: 232.461 cents 232.460540 4: 267.512 cents 267.512340 5: 316.928 cents 316.927730 6: 383.743 cents 383.742610 7: 499.973 cents 499.972880 8: 584.440 cents 584.440070 9: 616.203 cents 616.203150 10: 700.670 cents 700.670340 11: 816.901 cents 816.900610 12: 883.715 cents 883.715490 13: 933.131 cents 933.130880 14: 968.183 cents 968.182680 15: 999.946 cents 999.945760 16: 1084.413 cents 1084.412950 17: 1200.643 cents 1200.643220
SHOW/INTERVAL
0: 116.2303 cents 116.2303 1: 116.2303 cents 116.2303 2: 84.4672 cents 84.4672 3: 31.7631 cents 31.7631 4: 35.0518 cents 35.0518 5: 49.4154 cents 49.4154 6: 66.8149 cents 66.8149 7: 116.2303 cents 116.2303 8: 84.4672 cents 84.4672 9: 31.7631 cents 31.7631 10: 84.4672 cents 84.4672 11: 116.2303 cents 116.2303 12: 66.8149 cents 66.8149 13: 49.4154 cents 49.4154 14: 35.0518 cents 35.0518 15: 31.7631 cents 31.7631 16: 84.4672 cents 84.4672 17: 116.2303 cents 116.2303
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 31.76308 cents 1: 2 35.05180 cents 1: 2 49.41539 cents 1: 2 66.81488 cents 1: 4 84.46719 cents 1: 4 116.23027 cents 2: 2 66.81488 cents 2: 2 84.46719 cents 2: 6 116.23027 cents 2: 2 183.04515 cents 2: 4 200.69746 cents 2: 1 232.46054 cents 3: 2 116.23027 cents 3: 4 151.28207 cents 3: 1 200.69746 cents 3: 6 232.46054 cents 3: 2 267.51234 cents 3: 2 316.92773 cents 4: 2 183.04515 cents 4: 2 200.69746 cents 4: 4 267.51234 cents 4: 2 299.27542 cents 4: 4 316.92773 cents 4: 2 348.69081 cents 4: 1 401.39492 cents 5: 2 267.51234 cents 5: 2 299.27542 cents 5: 2 316.92773 cents 5: 2 348.69081 cents 5: 2 351.97953 cents 5: 4 383.74261 cents 5: 3 433.15800 cents 6: 8 383.74261 cents 6: 4 433.15800 cents 6: 1 464.92108 cents 6: 2 468.20980 cents 6: 2 499.97288 cents 7: 2 415.50569 cents 7: 4 468.20980 cents 7: 6 499.97288 cents 7: 2 517.62519 cents 7: 2 549.38827 cents 7: 1 566.78776 cents 8: 4 499.97288 cents 8: 1 535.02468 cents 8: 2 549.38827 cents 8: 6 584.44007 cents 8: 4 616.20315 cents 9: 4 584.44007 cents 9: 6 616.20315 cents 9: 2 651.25495 cents 9: 1 665.61854 cents 9: 4 700.67034 cents 10: 1 633.85546 cents 10: 2 651.25495 cents 10: 2 683.01803 cents 10: 6 700.67034 cents 10: 4 732.43342 cents 10: 2 785.13753 cents 11: 2 700.67034 cents 11: 2 732.43342 cents 11: 1 735.72214 cents 11: 4 767.48522 cents 11: 8 816.90061 cents 12: 3 767.48522 cents 12: 4 816.90061 cents 12: 2 848.66369 cents 12: 2 851.95241 cents 12: 2 883.71549 cents 12: 2 901.36780 cents 12: 2 933.13088 cents 13: 1 799.24830 cents 13: 2 851.95241 cents 13: 4 883.71549 cents 13: 2 901.36780 cents 13: 4 933.13088 cents 13: 2 999.94576 cents 13: 2 1017.59807 cents 14: 2 883.71549 cents 14: 2 933.13088 cents 14: 6 968.18268 cents 14: 1 999.94576 cents 14: 4 1049.36115 cents 14: 2 1084.41295 cents 15: 1 968.18268 cents 15: 4 999.94576 cents 15: 2 1017.59807 cents 15: 6 1084.41295 cents 15: 2 1116.17603 cents 15: 2 1133.82834 cents 16: 4 1084.41295 cents 16: 4 1116.17603 cents 16: 2 1133.82834 cents 16: 2 1151.22783 cents 16: 2 1165.59142 cents 16: 3 1168.88014 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 116.2 200.7 232.5 267.5 316.9 383.7 500.0 584.4 616.2 700.7 816.9 883.7 933.1 968.2 999.9 1084.4 1200.6 116.2 : 84.5 116.2 151.3 200.7 267.5 383.7 468.2 500.0 584.4 700.7 767.5 816.9 852.0 883.7 968.2 1084.4 1200.6 200.7 : 31.8 66.8 116.2 183.0 299.3 383.7 415.5 500.0 616.2 683.0 732.4 767.5 799.2 883.7 999.9 1116.2 1200.6 232.5 : 35.1 84.5 151.3 267.5 352.0 383.7 468.2 584.4 651.3 700.7 735.7 767.5 852.0 968.2 1084.4 1168.9 1200.6 267.5 : 49.4 116.2 232.5 316.9 348.7 433.2 549.4 616.2 665.6 700.7 732.4 816.9 933.1 1049.4 1133.8 1165.6 1200.6 316.9 : 66.8 183.0 267.5 299.3 383.7 500.0 566.8 616.2 651.3 683.0 767.5 883.7 999.9 1084.4 1116.2 1151.2 1200.6 383.7 : 116.2 200.7 232.5 316.9 433.2 500.0 549.4 584.4 616.2 700.7 816.9 933.1 1017.6 1049.4 1084.4 1133.8 1200.6 500.0 : 84.5 116.2 200.7 316.9 383.7 433.2 468.2 500.0 584.4 700.7 816.9 901.4 933.1 968.2 1017.6 1084.4 1200.6 584.4 : 31.8 116.2 232.5 299.3 348.7 383.7 415.5 500.0 616.2 732.4 816.9 848.7 883.7 933.1 999.9 1116.2 1200.6 616.2 : 84.5 200.7 267.5 316.9 352.0 383.7 468.2 584.4 700.7 785.1 816.9 852.0 901.4 968.2 1084.4 1168.9 1200.6 700.7 : 116.2 183.0 232.5 267.5 299.3 383.7 500.0 616.2 700.7 732.4 767.5 816.9 883.7 999.9 1084.4 1116.2 1200.6 816.9 : 66.8 116.2 151.3 183.0 267.5 383.7 500.0 584.4 616.2 651.3 700.7 767.5 883.7 968.2 999.9 1084.4 1200.6 883.7 : 49.4 84.5 116.2 200.7 316.9 433.2 517.6 549.4 584.4 633.9 700.7 816.9 901.4 933.1 1017.6 1133.8 1200.6 933.1 : 35.1 66.8 151.3 267.5 383.7 468.2 500.0 535.0 584.4 651.3 767.5 852.0 883.7 968.2 1084.4 1151.2 1200.6 968.2 : 31.8 116.2 232.5 348.7 433.2 464.9 500.0 549.4 616.2 732.4 816.9 848.7 933.1 1049.4 1116.2 1165.6 1200.6 999.9 : 84.5 200.7 316.9 401.4 433.2 468.2 517.6 584.4 700.7 785.1 816.9 901.4 1017.6 1084.4 1133.8 1168.9 1200.6 1084.4: 116.2 232.5 316.9 348.7 383.7 433.2 500.0 616.2 700.7 732.4 816.9 933.1 999.9 1049.4 1084.4 1116.2 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.7631 .. 116.2303 cents 84.46719 cents 31.76308 cents 2: 66.8149 .. 232.4605 cents 165.64566 cents -49.41539 cents 3: 116.2303 .. 316.9277 cents 200.69746 cents -116.23027 cents 4: 183.0452 .. 401.3949 cents 218.34977 cents -133.88258 cents 5: 267.5123 .. 433.1580 cents 165.64566 cents -133.88258 cents 6: 383.7426 .. 499.9729 cents 116.23027 cents -49.41539 cents 7: 415.5057 .. 566.7878 cents 151.28207 cents -84.46719 cents 8: 499.9729 .. 616.2031 cents 116.23027 cents -66.81488 cents 9: 584.4401 .. 700.6703 cents 116.23027 cents -31.76308 cents 10: 633.8555 .. 785.1375 cents 151.28207 cents -66.81488 cents 11: 700.6703 .. 816.9006 cents 116.23027 cents -84.46719 cents 12: 767.4852 .. 933.1309 cents 165.64566 cents -49.41539 cents 13: 799.2483 .. 1017.5981 cents 218.34977 cents -133.88258 cents 14: 883.7155 .. 1084.4130 cents 200.69746 cents -133.88258 cents 15: 968.1827 .. 1133.8283 cents 165.64566 cents -116.23027 cents 16: 1084.4129 .. 1168.8801 cents 84.46719 cents -49.41539 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 31.76308 cents, class 1 Average step (divided formal octave): 70.6261 cents Largest one step interval : 116.23027 cents Average / Smallest step : 2.223527 Largest / Average step : 1.645713 Largest / Smallest step : 3.659288 Median interval of one step : 66.81488 cents, amount: 2 Least squares average step : 69.99243 cents, oct.: 1189.87136 cents Scale is not proper Step pattern alph. order: ABCDEFABCBAFEDCBA Step pattern size order : FEABCDFEAEFDCBAEF Scale is not a Constant Structure Scale diversity : 1.348491 Lumma stability : 0.052910 Lumma impropriety factor : 0.859297 Number of different interval sizes : 54 = 3.37500 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.00000 = 6 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 3.28872 cents Number of recognisable fifths : 12, average 700.6703 cents Number of recognisable fourths : 12, average 499.9729 cents Formal octave complements present : 17 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 8-9 -- Rational properties --
FIT/MODE
17: 1 1 1 0 1 1 2 1 0 2 1 1 1 0 1 1 2 N T3 SD: 34.9010 c. M: 59.4453 c. 18: 2 1 0 1 1 1 1 2 0 1 2 1 1 0 1 1 2 N SD: 19.7635 c. M: 34.3491 c. 19: 2 1 1 0 1 1 2 1 1 1 2 1 1 0 1 1 2 N I SD: 11.6642 c. M: 20.3065 c. 22: 2 2 0 1 1 1 2 2 0 2 2 1 1 1 0 2 2 N I SD: 11.0217 c. M:-17.6013 c. 31: 3 2 1 1 1 2 3 2 1 2 3 2 1 1 1 2 3 N I SD: 4.2012 c. M: 7.0843 c. 41: 4 3 1 1 2 2 4 3 1 3 4 2 2 1 1 3 4 N I SD: 3.0795 c. M: 5.1961 c. 72: 7 5 2 2 3 4 7 5 2 5 7 4 3 2 2 5 7 N I SD: 0.5795 c. M: 0.9979 c. 197: 19 14 5 6 8 11 19 14 5 14 19 11 8 6 5 14 19 N I SD: 0.4910 c. M: 0.8644 c. 269: 26 19 7 8 11 15 26 19 7 19 26 15 11 8 7 19 26 N I SD: 0.2058 c. M: 0.3659 c. 341: 33 24 9 10 14 19 33 24 9 24 33 19 14 10 9 24 33 N I SD: 0.0470 c. M: 0.0797 c. 754: 73 53 20 22 31 42 73 53 20 53 73 42 31 22 20 53 73 N I SD: 0.0334 c. M:-0.0595 c. 1095: 106 77 29 32 45 61 106 77 29 77 106 61 45 32 29 77 106 N I SD: 0.0267 c. M: 0.0456 c. 1436: 139 101 38 42 59 80 139 101 38 101 139 80 59 42 38 101 139 N I SD: 0.0278 c. M: 0.0449 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.6432 cents 2 .. 4 match: 2 H SD: 0.7183 cents 3 .. 6 match: 3 H SD: 0.7106 cents 4 .. 8 match: 4 H SD: 0.7537 cents 5 .. 10 match: 5 H SD: 3.6203 cents 6 .. 12 match: 6 H SD: 5.8574 cents 7 .. 14 match: 7 H SD: 9.0183 cents 8 .. 16 match: 8 H SD: 5.1381 cents 9 .. 18 match: 9 H SD: 7.6003 cents 10 .. 20 match: 10 H SD: 6.8005 cents 11 .. 22 match: 10 S SD: 9.3881 cents 12 .. 24 match: 11 S SD: 4.4268 cents 13 .. 26 match: 11 SD: 6.8594 cents 14 .. 28 match: 12 SD: 4.6831 cents 15 .. 30 match: 13 S SD: 4.1673 cents 16 .. 32 match: 14 S SD: 4.8235 cents 17 .. 34 match: 13 SD: 4.7001 cents 18 .. 36 match: 14 SD: 3.8323 cents 19 .. 38 match: 14 SD: 5.3376 cents 20 .. 40 match: 16 SD: 4.2809 cents 21 .. 42 match: 14 SD: 4.3294 cents 22 .. 44 match: 13 SD: 4.8163 cents 23 .. 46 match: 16 SD: 3.8017 cents 24 .. 48 match: 15 SD: 2.5042 cents 25 .. 50 match: 16 SD: 3.0515 cents 26 .. 52 match: 15 SD: 3.5727 cents 27 .. 54 match: 16 SD: 3.2348 cents 28 .. 56 match: 17 SD: 2.6721 cents 29 .. 58 match: 15 SD: 2.8878 cents 30 .. 60 match: 16 SD: 2.3905 cents 31 .. 62 match: 16 SD: 2.7170 cents 32 .. 64 match: 16 SD: 2.2851 cents 37 .. 74 match: 16 SD: 2.6281 cents 38 .. 76 match: 16 SD: 2.4774 cents 39 .. 78 match: 17 SD: 2.4451 cents 40 .. 80 match: 17 SD: 1.6379 cents 45 .. 90 match: 16 SD: 1.7871 cents 48 .. 96 match: 17 SD: 1.4612 cents 55 .. 110 match: 17 SD: 1.4300 cents 56 .. 112 match: 17 SD: 1.1695 cents 60 .. 120 match: 17 SD: 1.0286 cents 72 .. 144 match: 17 SD: 0.9927 cents 83 .. 166 match: 17 SD: 0.9833 cents 84 .. 168 match: 17 SD: 0.6469 cents 114 .. 228 match: 17 SD: 0.5932 cents 129 .. 258 match: 17 SD: 0.5826 cents 132 .. 264 match: 17 SD: 0.5462 cents 138 .. 276 match: 17 SD: 0.5441 cents 140 .. 280 match: 17 SD: 0.5116 cents 144 .. 288 match: 17 SD: 0.4861 cents 154 .. 308 match: 17 SD: 0.4723 cents 161 .. 322 match: 17 SD: 0.3900 cents 174 .. 348 match: 17 SD: 0.3881 cents 189 .. 378 match: 17 SD: 0.3584 cents 203 .. 406 match: 17 SD: 0.3434 cents 204 .. 408 match: 17 SD: 0.3365 cents 227 .. 454 match: 17 SD: 0.3237 cents 229 .. 458 match: 17 SD: 0.2988 cents 234 .. 468 match: 17 SD: 0.2741 cents 269 .. 538 match: 17 SD: 0.2370 cents 287 .. 574 match: 17 SD: 0.2202 cents 299 .. 598 match: 17 SD: 0.1991 cents 335 .. 670 match: 17 SD: 0.1946 cents 347 .. 694 match: 17 SD: 0.1874 cents 383 .. 766 match: 17 SD: 0.1770 cents 403 .. 806 match: 17 SD: 0.1631 cents 431 .. 862 match: 17 SD: 0.1271 cents 503 .. 1006 match: 17 SD: 0.1159 cents 592 .. 1184 match: 17 SD: 0.1096 cents