Scala analysis: slen19
(1,7) 49/48 tempering of synslenstar; very near godzilla, 19 circulating
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 60.222 cents 60.221563 2: 123.094 cents 123.094409 3: 192.353 cents 192.353006 4: 252.575 cents 252.574569 5: 312.796 cents 312.796132 6: 382.055 cents 382.054730 7: 444.928 cents 444.927575 8: 505.149 cents 505.149138 9: 565.371 cents 565.370701 10: 634.629 cents 634.629299 11: 694.851 cents 694.850862 12: 757.724 cents 757.723707 13: 817.945 cents 817.945270 14: 887.204 cents 887.203868 15: 947.425 cents 947.425431 16: 1010.298 cents 1010.298276 17: 1070.520 cents 1070.519839 18: 1139.778 cents 1139.778437 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 60.2216 cents 60.2216 1: 60.2216 cents 60.2216 2: 62.8728 cents 62.8728 3: 69.2586 cents 69.2586 4: 60.2216 cents 60.2216 5: 60.2216 cents 60.2216 6: 69.2586 cents 69.2586 7: 62.8728 cents 62.8728 8: 60.2216 cents 60.2216 9: 60.2216 cents 60.2216 10: 69.2586 cents 69.2586 11: 60.2216 cents 60.2216 12: 62.8728 cents 62.8728 13: 60.2216 cents 60.2216 14: 69.2586 cents 69.2586 15: 60.2216 cents 60.2216 16: 62.8728 cents 62.8728 17: 60.2216 cents 60.2216 18: 69.2586 cents 69.2586 19: 60.2216 cents 60.2216
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 60.22156 cents 1: 4 62.87285 cents 1: 5 69.25860 cents 2: 3 120.44313 cents 2: 6 123.09441 cents 2: 8 129.48016 cents 2: 2 132.13144 cents 3: 4 183.31597 cents 3: 7 189.70172 cents 3: 8 192.35301 cents 4: 2 249.92329 cents 4: 16 252.57457 cents 4: 1 258.96032 cents 5: 12 312.79613 cents 5: 1 315.44741 cents 5: 6 321.83317 cents 6: 4 373.01770 cents 6: 4 375.66898 cents 6: 10 382.05473 cents 6: 1 384.70601 cents 7: 3 435.89054 cents 7: 10 442.27629 cents 7: 6 444.92758 cents 8: 4 502.49786 cents 8: 13 505.14914 cents 8: 2 511.53489 cents 9: 12 565.37070 cents 9: 2 571.75645 cents 9: 5 574.40774 cents 10: 5 625.59226 cents 10: 2 628.24355 cents 10: 12 634.62930 cents 11: 2 688.46511 cents 11: 13 694.85086 cents 11: 4 697.50214 cents 12: 6 755.07242 cents 12: 10 757.72371 cents 12: 3 764.10946 cents 13: 1 815.29399 cents 13: 10 817.94527 cents 13: 4 824.33102 cents 13: 4 826.98231 cents 14: 6 878.16683 cents 14: 1 884.55259 cents 14: 12 887.20387 cents 15: 1 941.03968 cents 15: 16 947.42543 cents 15: 2 950.07671 cents 16: 8 1007.64699 cents 16: 7 1010.29828 cents 16: 4 1016.68403 cents 17: 2 1067.86856 cents 17: 8 1070.51984 cents 17: 6 1076.90559 cents 17: 3 1079.55687 cents 18: 5 1130.74140 cents 18: 4 1137.12715 cents 18: 10 1139.77844 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.22222 = 29/9
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 : 60.2 123.1 192.4 252.6 312.8 382.1 444.9 505.1 565.4 634.6 694.9 757.7 817.9 887.2 947.4 1010.3 1070.5 1139.8 1200.0 60.2 : 62.9 132.1 192.4 252.6 321.8 384.7 444.9 505.1 574.4 634.6 697.5 757.7 827.0 887.2 950.1 1010.3 1079.6 1139.8 1200.0 123.1 : 69.3 129.5 189.7 259.0 321.8 382.1 442.3 511.5 571.8 634.6 694.9 764.1 824.3 887.2 947.4 1016.7 1076.9 1137.1 1200.0 192.4 : 60.2 120.4 189.7 252.6 312.8 373.0 442.3 502.5 565.4 625.6 694.9 755.1 817.9 878.2 947.4 1007.6 1067.9 1130.7 1200.0 252.6 : 60.2 129.5 192.4 252.6 312.8 382.1 442.3 505.1 565.4 634.6 694.9 757.7 817.9 887.2 947.4 1007.6 1070.5 1139.8 1200.0 312.8 : 69.3 132.1 192.4 252.6 321.8 382.1 444.9 505.1 574.4 634.6 697.5 757.7 827.0 887.2 947.4 1010.3 1079.6 1139.8 1200.0 382.1 : 62.9 123.1 183.3 252.6 312.8 375.7 435.9 505.1 565.4 628.2 688.5 757.7 817.9 878.2 941.0 1010.3 1070.5 1130.7 1200.0 444.9 : 60.2 120.4 189.7 249.9 312.8 373.0 442.3 502.5 565.4 625.6 694.9 755.1 815.3 878.2 947.4 1007.6 1067.9 1137.1 1200.0 505.1 : 60.2 129.5 189.7 252.6 312.8 382.1 442.3 505.1 565.4 634.6 694.9 755.1 817.9 887.2 947.4 1007.6 1076.9 1139.8 1200.0 565.4 : 69.3 129.5 192.4 252.6 321.8 382.1 444.9 505.1 574.4 634.6 694.9 757.7 827.0 887.2 947.4 1016.7 1079.6 1139.8 1200.0 634.6 : 60.2 123.1 183.3 252.6 312.8 375.7 435.9 505.1 565.4 625.6 688.5 757.7 817.9 878.2 947.4 1010.3 1070.5 1130.7 1200.0 694.9 : 62.9 123.1 192.4 252.6 315.4 375.7 444.9 505.1 565.4 628.2 697.5 757.7 817.9 887.2 950.1 1010.3 1070.5 1139.8 1200.0 757.7 : 60.2 129.5 189.7 252.6 312.8 382.1 442.3 502.5 565.4 634.6 694.9 755.1 824.3 887.2 947.4 1007.6 1076.9 1137.1 1200.0 817.9 : 69.3 129.5 192.4 252.6 321.8 382.1 442.3 505.1 574.4 634.6 694.9 764.1 827.0 887.2 947.4 1016.7 1076.9 1139.8 1200.0 887.2 : 60.2 123.1 183.3 252.6 312.8 373.0 435.9 505.1 565.4 625.6 694.9 757.7 817.9 878.2 947.4 1007.6 1070.5 1130.7 1200.0 947.4 : 62.9 123.1 192.4 252.6 312.8 375.7 444.9 505.1 565.4 634.6 697.5 757.7 817.9 887.2 947.4 1010.3 1070.5 1139.8 1200.0 1010.3: 60.2 129.5 189.7 249.9 312.8 382.1 442.3 502.5 571.8 634.6 694.9 755.1 824.3 884.6 947.4 1007.6 1076.9 1137.1 1200.0 1070.5: 69.3 129.5 189.7 252.6 321.8 382.1 442.3 511.5 574.4 634.6 694.9 764.1 824.3 887.2 947.4 1016.7 1076.9 1139.8 1200.0 1139.8: 60.2 120.4 183.3 252.6 312.8 373.0 442.3 505.1 565.4 625.6 694.9 755.1 817.9 878.2 947.4 1007.6 1070.5 1130.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 60.2216 .. 69.2586 cents 9.03703 cents 60.22156 cents 2: 120.4431 .. 132.1314 cents 11.68832 cents 51.18453 cents 3: 183.3160 .. 192.3530 cents 9.03703 cents 51.18453 cents 4: 249.9233 .. 258.9603 cents 9.03703 cents 57.57028 cents 5: 312.7961 .. 321.8332 cents 9.03704 cents 53.83581 cents 6: 373.0177 .. 384.7060 cents 11.68832 cents 51.18453 cents 7: 435.8905 .. 444.9276 cents 9.03703 cents 51.18453 cents 8: 502.4979 .. 511.5349 cents 9.03703 cents 57.57028 cents 9: 565.3707 .. 574.4077 cents 9.03703 cents 53.83581 cents 10: 625.5923 .. 634.6293 cents 9.03703 cents 51.18453 cents 11: 688.4651 .. 697.5021 cents 9.03703 cents 53.83581 cents 12: 755.0724 .. 764.1095 cents 9.03703 cents 57.57028 cents 13: 815.2940 .. 826.9823 cents 11.68832 cents 51.18453 cents 14: 878.1668 .. 887.2039 cents 9.03703 cents 51.18453 cents 15: 941.0397 .. 950.0767 cents 9.03703 cents 53.83581 cents 16: 1007.6470 .. 1016.6840 cents 9.03703 cents 57.57028 cents 17: 1067.8686 .. 1079.5569 cents 11.68832 cents 51.18453 cents 18: 1130.7414 .. 1139.7784 cents 9.03703 cents 51.18453 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 60.22156 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 69.25860 cents Average / Smallest step : 1.048759 Largest / Average step : 1.096594 Largest / Smallest step : 1.150063 Median interval of one step : 60.22156 cents, amount: 10 Most common interval of one step : 60.22156 cents, amount: 10 Least squares average step : 63.16663 cents, oct.: 1200.16601 cents Scale is strictly proper Step pattern alph. order: ABCAACBAACABACABACA Step pattern size order : SMLSSLMSSLSMSLSMSLS Scale is a Constant Structure, by a margin of 51.18453 cents Scale diversity : 1.099326 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.855607 Number of different interval sizes : 58 = 3.22222 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.22222 = 29/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 2.65128 cents Most common intervals : 252.57457 cents & inv., amount: 16 Most common triad is 0.0 252.575 947.425 cents, amount: 13 Number of recognisable fifths : 19, average 694.7368 cents Number of appreciable fifths : 17, average 695.4747 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 13 = 68.4211% Limited transpositions with margin 9.0370 cents: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Limited inverse transpositions : 8 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 13-14 -- 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: 2.4044 c. M:-3.2214 c. 81: 4 4 5 4 4 5 4 4 4 5 4 4 4 5 4 4 4 5 4 SP M ME S SD: 2.2134 c. M: 4.5759 c. 100: 5 5 6 5 5 6 5 5 5 6 5 5 5 6 5 5 5 6 5 SP M ME S SD: 1.4718 c. M: 3.0944 c. 119: 6 6 7 6 6 7 6 6 6 7 6 6 6 7 6 6 6 7 6 SP M ME S SD: 1.0413 c. M: 2.0860 c. 138: 7 7 8 7 7 8 7 7 7 8 7 7 7 8 7 7 7 8 7 SP M ME S SD: 0.8332 c. M: 1.6026 c. 157: 8 8 9 8 8 9 8 8 8 9 8 8 8 9 8 8 8 9 8 SP M ME S SD: 0.7868 c. M: 1.6155 c. 242: 12 13 14 12 12 14 13 12 12 14 12 13 12 14 12 13 12 14 12 SP S SD: 0.6877 c. M:-1.3534 c. 261: 13 14 15 13 13 15 14 13 13 15 13 14 13 15 13 14 13 15 13 SP S SD: 0.6211 c. M:-1.1960 c. 280: 14 15 16 14 14 16 15 14 14 16 14 15 14 16 14 15 14 16 14 SP S SD: 0.6086 c. M:-1.1913 c. 304: 15 16 18 15 15 18 16 15 15 18 15 16 15 18 15 16 15 18 15 SP S SD: 0.7450 c. M:-1.1251 c. 318: 16 17 18 16 16 18 17 16 16 18 16 17 16 18 16 17 16 18 16 SP S SD: 0.6824 c. M:-1.4339 c. 323: 16 17 19 16 16 19 17 16 16 19 16 17 16 19 16 17 16 19 16 SP S SD: 0.5636 c. M:-0.8929 c. 342: 17 18 20 17 17 20 18 17 17 20 17 18 17 20 17 18 17 20 17 SP S SD: 0.4047 c. M:-0.6865 c. 361: 18 19 21 18 18 21 19 18 18 21 18 19 18 21 18 19 18 21 18 SP S SD: 0.2678 c. M:-0.5018 c. 380: 19 20 22 19 19 22 20 19 19 22 19 20 19 22 19 20 19 22 19 SP S SD: 0.1604 c. M:-0.3356 c. 399: 20 21 23 20 20 23 21 20 20 23 20 21 20 23 20 21 20 23 20 SP S SD: 0.1190 c. M:-0.2280 c. 879: 44 46 51 44 44 51 46 44 44 51 44 46 44 51 44 46 44 51 44 SP S SD: 0.1429 c. M: 0.2275 c. 898: 45 47 52 45 45 52 47 45 45 52 45 47 45 52 45 47 45 52 45 SP S SD: 0.0901 c. M: 0.1545 c. 917: 46 48 53 46 46 53 48 46 46 53 46 48 46 53 46 48 46 53 46 SP S SD: 0.0422 c. M: 0.0846 c. 936: 47 49 54 47 47 54 49 47 47 54 47 49 47 54 47 49 47 54 47 SP S SD: 0.0265 c. M: 0.0558 c. 1335: 67 70 77 67 67 77 70 67 67 77 67 70 67 77 67 70 67 77 67 SP S SD: 0.0246 c. M:-0.0517 c. 1853: 93 97 107 93 93 107 97 93 93 107 93 97 93 107 93 97 93 107 93 SP S SD: 0.0250 c. M: 0.0507 c. 2233: 112 117 129 112 112 129 117 112 112 129 112 117 112 129 112 117 112 129 112 SP S SD: 0.0261 c. M:-0.0344 c. 2252: 113 118 130 113 113 130 118 113 113 130 113 118 113 130 113 118 113 130 113 SP S SD: 0.0059 c. M:-0.0103 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 3.5521 cents 3 .. 6 match: 3 H SD: 2.5509 cents 4 .. 8 match: 4 H SD: 5.7369 cents 5 .. 10 match: 5 H SD: 3.8643 cents 6 .. 12 match: 6 H SD: 4.5978 cents 7 .. 14 match: 7 H SD: 5.8344 cents 8 .. 16 match: 8 H SD: 5.1275 cents 9 .. 18 match: 9 H SD: 5.6052 cents 10 .. 20 match: 10 H SD: 5.3882 cents 11 .. 22 match: 11 H SD: 6.6250 cents 12 .. 24 match: 12 H SD: 4.6841 cents 13 .. 26 match: 13 H SD: 4.1744 cents 14 .. 28 match: 14 H SD: 4.3156 cents 15 .. 30 match: 15 H SD: 3.7360 cents 16 .. 32 match: 16 H SD: 3.9150 cents 17 .. 34 match: 16 S SD: 5.2268 cents 18 .. 36 match: 17 SD: 3.6498 cents 19 .. 38 match: 17 SD: 4.8241 cents 20 .. 40 match: 18 SD: 3.2519 cents 21 .. 42 match: 18 SD: 3.9036 cents 22 .. 44 match: 18 SD: 4.6247 cents 23 .. 46 match: 19 SD: 3.6976 cents 24 .. 48 match: 19 SD: 2.9110 cents 25 .. 50 match: 19 SD: 2.6382 cents 27 .. 54 match: 19 SD: 2.4707 cents 33 .. 66 match: 19 SD: 2.2634 cents 36 .. 72 match: 19 SD: 2.1178 cents 40 .. 80 match: 19 SD: 1.9567 cents 41 .. 82 match: 19 SD: 1.8988 cents 44 .. 88 match: 19 SD: 1.7110 cents 45 .. 90 match: 19 SD: 1.6375 cents 49 .. 98 match: 19 SD: 1.6254 cents 50 .. 100 match: 19 SD: 1.5986 cents 51 .. 102 match: 19 SD: 1.3529 cents 56 .. 112 match: 19 SD: 1.3090 cents 57 .. 114 match: 19 SD: 1.1666 cents 65 .. 130 match: 19 SD: 1.1447 cents 69 .. 138 match: 19 SD: 1.1113 cents 75 .. 150 match: 19 SD: 1.1054 cents 76 .. 152 match: 19 SD: 0.9888 cents 77 .. 154 match: 19 SD: 0.9154 cents 82 .. 164 match: 19 SD: 0.8703 cents 85 .. 170 match: 19 SD: 0.7109 cents 106 .. 212 match: 19 SD: 0.6110 cents 109 .. 218 match: 19 SD: 0.5538 cents 133 .. 266 match: 19 SD: 0.5106 cents 136 .. 272 match: 19 SD: 0.4988 cents 146 .. 292 match: 19 SD: 0.4508 cents 147 .. 294 match: 19 SD: 0.4474 cents 166 .. 332 match: 19 SD: 0.4407 cents 171 .. 342 match: 19 SD: 0.4326 cents 174 .. 348 match: 19 SD: 0.4269 cents 177 .. 354 match: 19 SD: 0.4007 cents 178 .. 356 match: 19 SD: 0.3558 cents 202 .. 404 match: 19 SD: 0.3015 cents 222 .. 444 match: 19 SD: 0.2706 cents 257 .. 514 match: 19 SD: 0.2597 cents 280 .. 560 match: 19 SD: 0.2267 cents 287 .. 574 match: 19 SD: 0.2189 cents 308 .. 616 match: 19 SD: 0.2145 cents 313 .. 626 match: 19 SD: 0.1998 cents 324 .. 648 match: 19 SD: 0.1976 cents 339 .. 678 match: 19 SD: 0.1692 cents 368 .. 736 match: 19 SD: 0.1460 cents 393 .. 786 match: 19 SD: 0.1403 cents 450 .. 900 match: 19 SD: 0.1384 cents 478 .. 956 match: 19 SD: 0.1347 cents 502 .. 1004 match: 19 SD: 0.1167 cents 535 .. 1070 match: 19 SD: 0.1154 cents 567 .. 1134 match: 19 SD: 0.1134 cents 587 .. 1174 match: 19 SD: 0.1076 cents 596 .. 1192 match: 19 SD: 0.0942 cents