Scala analysis: mike
Mike 11:9:7:4 Lesfip scale
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 85.999 cents 85.998800 2: 215.044 cents 215.043940 3: 299.896 cents 299.896340 4: 428.878 cents 428.877710 5: 514.623 cents 514.623360 6: 643.605 cents 643.604720 7: 728.457 cents 728.457130 8: 857.502 cents 857.502260 9: 943.501 cents 943.501070 10: 1071.751 cents 1071.750530 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 128.2495 cents 128.2495 1: 85.9988 cents 85.9988 2: 129.0451 cents 129.0451 3: 84.8524 cents 84.8524 4: 128.9814 cents 128.9814 5: 85.7457 cents 85.7457 6: 128.9814 cents 128.9814 7: 84.8524 cents 84.8524 8: 129.0451 cents 129.0451 9: 85.9988 cents 85.9988 10: 128.2495 cents 128.2495 11: 128.2495 cents 128.2495
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 84.85240 cents 1: 1 85.74565 cents 1: 2 85.99880 cents 1: 2 128.24946 cents 1: 2 128.98137 cents 1: 2 129.04514 cents 2: 2 213.83377 cents 2: 2 213.89754 cents 2: 2 214.24827 cents 2: 2 214.72702 cents 2: 2 215.04394 cents 2: 1 256.49893 cents 3: 2 299.57942 cents 3: 2 299.89634 cents 3: 2 342.49774 cents 3: 2 342.87891 cents 3: 2 343.29340 cents 3: 1 343.70838 cents 4: 2 428.14581 cents 4: 1 428.49654 cents 4: 2 428.56078 cents 4: 2 428.62456 cents 4: 2 428.87771 cents 4: 2 471.54287 cents 5: 1 513.41319 cents 5: 2 514.62336 cents 5: 2 556.39528 cents 5: 2 557.12717 cents 5: 2 557.54167 cents 5: 2 557.60592 cents 6: 2 642.39408 cents 6: 2 642.45833 cents 6: 2 642.87282 cents 6: 2 643.60472 cents 6: 2 685.37664 cents 6: 1 686.58681 cents 7: 2 728.45713 cents 7: 2 771.12229 cents 7: 2 771.37544 cents 7: 2 771.43922 cents 7: 1 771.50346 cents 7: 2 771.85419 cents 8: 1 856.29162 cents 8: 2 856.70659 cents 8: 2 857.12109 cents 8: 2 857.50226 cents 8: 2 900.10366 cents 8: 2 900.42058 cents 9: 1 943.50107 cents 9: 2 984.95606 cents 9: 2 985.27298 cents 9: 2 985.75173 cents 9: 2 986.10246 cents 9: 2 986.16623 cents 10: 2 1070.95486 cents 10: 2 1071.01863 cents 10: 2 1071.75053 cents 10: 2 1114.00120 cents 10: 1 1114.25435 cents 10: 2 1115.14760 cents Highest number of different intervals for one interval class: 6 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 0.0 : 86.0 215.0 299.9 428.9 514.6 643.6 728.5 857.5 943.5 1071.8 1200.0 86.0 : 129.0 213.9 342.9 428.6 557.6 642.5 771.5 857.5 985.8 1114.0 1200.0 215.0 : 84.9 213.8 299.6 428.6 513.4 642.5 728.5 856.7 985.0 1071.0 1200.0 299.9 : 129.0 214.7 343.7 428.6 557.6 643.6 771.9 900.1 986.1 1115.1 1200.0 428.9 : 85.7 214.7 299.6 428.6 514.6 642.9 771.1 857.1 986.2 1071.0 1200.0 514.6 : 129.0 213.8 342.9 428.9 557.1 685.4 771.4 900.4 985.3 1114.3 1200.0 643.6 : 84.9 213.9 299.9 428.1 556.4 642.4 771.4 856.3 985.3 1071.0 1200.0 728.5 : 129.0 215.0 343.3 471.5 557.5 686.6 771.4 900.4 986.2 1115.1 1200.0 857.5 : 86.0 214.2 342.5 428.5 557.5 642.4 771.4 857.1 986.1 1071.0 1200.0 943.5 : 128.2 256.5 342.5 471.5 556.4 685.4 771.1 900.1 985.0 1114.0 1200.0 1071.8: 128.2 214.2 343.3 428.1 557.1 642.9 771.9 856.7 985.8 1071.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 84.8524 .. 129.0451 cents 44.19274 cents 84.85240 cents 2: 213.8338 .. 256.4989 cents 42.66516 cents 84.78863 cents 3: 299.5794 .. 343.7084 cents 44.12896 cents 43.08049 cents 4: 428.1458 .. 471.5429 cents 43.39706 cents 84.43743 cents 5: 513.4132 .. 557.6059 cents 44.19273 cents 41.87032 cents 6: 642.3941 .. 686.5868 cents 44.19273 cents 84.78816 cents 7: 728.4571 .. 771.8542 cents 43.39706 cents 41.87032 cents 8: 856.2916 .. 900.4206 cents 44.12896 cents 84.43743 cents 9: 943.5011 .. 986.1662 cents 42.66516 cents 43.08049 cents 10: 1070.9549 .. 1115.1476 cents 44.19274 cents 84.78863 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 84.85240 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 129.04514 cents Average / Smallest step : 1.285655 Largest / Average step : 1.182914 Largest / Smallest step : 1.520819 Median interval of one step : 128.24946 cents, amount: 2 Least squares average step : 106.58946 cents, oct.: 1172.48401 cents Scale is strictly proper Step pattern alph. order: ABCDEDCBAFF Step pattern size order : CFAEBEAFCDD Scale is a Constant Structure, by a margin of 41.87032 cents Scale diversity : 1.231063 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.635706 Rothenberg efficiency : 0.264463 redundancy: 0.735537 Efficiency x scale size : 2.909091 Number of different interval sizes : 60 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.06377 cents Number of recognisable fifths : 1, average 686.5868 cents Number of appreciable fifths : 0 Best minor thirds form a closed circle Formal octave complements present : 1 = 9.0909% Limited inverse transpositions : 9 Inversional symmetry on degrees : 10 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
11: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 22.8105 c. M:-38.3171 c. 15: 1 2 1 1 1 2 1 2 1 1 2 P D3 S SD: 21.2488 c. M: 34.6234 c. 17: 1 2 1 2 1 2 1 2 1 2 2 P M ME S SD: 15.1609 c. M: 25.8540 c. Machine-11 23: 2 2 2 2 2 2 2 2 2 3 2 SP M ME S SD: 13.9797 c. M:-23.9016 c. 24: 2 2 2 3 1 3 2 2 2 2 3 P D3 SD: 14.0096 c. M: 21.7505 c. 25: 2 2 2 3 2 2 2 3 2 2 3 SP M ME S SD: 13.4152 c. M: 23.0439 c. 27: 2 3 2 3 2 2 2 3 2 3 3 P D3 SD: 12.9189 c. M: 21.3825 c. 28: 2 3 2 3 2 3 2 3 2 3 3 SP M ME S SD: 0.4363 c. M: 0.7582 c. Machine-11 543: 39 58 39 58 39 58 39 58 39 58 58 SP M DE S SD: 0.4270 c. M:-0.8246 c. 557: 40 60 39 60 40 60 39 60 40 59 60 SP SD: 0.4170 c. M: 1.0144 c. 571: 41 61 41 61 41 61 41 61 41 61 61 SP M DE S SD: 0.4154 c. M:-0.7898 c. 585: 42 63 41 63 42 63 41 63 42 62 63 SP SD: 0.3910 c. M: 0.9813 c. 609: 44 65 43 66 43 66 43 65 44 65 65 SP S SD: 0.4733 c. M:-0.7303 c. 613: 44 66 43 66 44 66 43 66 44 65 66 SP SD: 0.3683 c. M: 0.9512 c. 627: 45 67 45 67 45 67 45 67 45 67 67 SP M DE S SD: 0.3976 c. M:-0.7295 c. 637: 46 68 45 69 45 69 45 68 46 68 68 SP S SD: 0.4465 c. M:-0.6653 c. 641: 46 69 45 69 46 69 45 69 46 68 69 SP SD: 0.3486 c. M: 0.9237 c. 665: 48 71 47 72 47 72 47 71 48 71 71 SP S SD: 0.4227 c. M:-0.6177 c. 669: 48 72 47 72 48 72 47 72 48 72 71 SP SD: 0.3307 c. M:-0.8952 c. 693: 50 74 49 75 49 75 49 74 50 74 74 SP S SD: 0.4015 c. M:-0.5813 c. 697: 50 75 49 75 50 75 49 75 50 75 74 SP SD: 0.3096 c. M:-0.8463 c. 721: 52 77 51 78 51 78 51 77 52 77 77 SP S SD: 0.3827 c. M:-0.5477 c. 725: 52 78 51 78 52 78 51 78 52 78 77 SP SD: 0.2908 c. M:-0.8012 c. 749: 54 80 53 81 53 81 53 80 54 80 80 SP S SD: 0.3659 c. M:-0.5166 c. 753: 54 81 53 81 54 81 53 81 54 81 80 SP SD: 0.2742 c. M:-0.7594 c. 777: 56 83 55 84 55 84 55 83 56 83 83 SP S SD: 0.3511 c. M:-0.5004 c. 781: 56 84 55 84 56 84 55 84 56 84 83 SP SD: 0.2597 c. M:-0.7207 c. 805: 58 86 57 87 57 87 57 86 58 86 86 SP S SD: 0.3380 c. M:-0.4870 c. 809: 58 87 57 87 58 87 57 87 58 87 86 SP SD: 0.2470 c. M:-0.6846 c. 833: 60 89 59 90 59 90 59 89 60 89 89 SP S SD: 0.3264 c. M:-0.4744 c. 837: 60 90 59 90 60 90 59 90 60 90 89 SP SD: 0.2360 c. M:-0.6509 c. 861: 62 92 61 93 61 93 61 92 62 92 92 SP S SD: 0.3162 c. M:-0.4627 c. 865: 62 93 61 93 62 93 61 93 62 93 92 SP SD: 0.2265 c. M:-0.6194 c. 889: 64 95 63 96 63 96 63 95 64 95 95 SP S SD: 0.3073 c. M:-0.4518 c. 893: 64 96 63 96 64 96 63 96 64 96 95 SP SD: 0.2185 c. M:-0.5899 c. 917: 66 98 65 99 65 99 65 98 66 98 98 SP S SD: 0.2995 c. M:-0.4415 c. 921: 66 99 65 99 66 99 65 99 66 99 98 SP SD: 0.2118 c. M:-0.5622 c. 945: 68 101 67 102 67 102 67 101 68 101 101 SP S SD: 0.2927 c. M: 0.4408 c. 949: 68 102 67 102 68 102 67 102 68 102 101 SP SD: 0.2063 c. M:-0.5361 c. 1051: 75 113 75 113 75 113 74 113 75 113 112 SP SD: 0.3225 c. M:-0.4277 c. 1054: 76 113 74 114 75 113 75 113 76 112 113 SP SD: 0.3162 c. M:-0.5287 c. 1057: 76 113 75 114 75 114 75 113 76 113 113 SP S SD: 0.2740 c. M: 0.4744 c. 1061: 76 114 75 114 76 114 75 114 76 113 114 SP SD: 0.2498 c. M: 0.6855 c. 1066: 76 115 75 115 76 115 75 115 76 114 114 SP S SD: 0.2449 c. M: 0.4592 c. 1072: 77 115 76 115 77 115 76 115 77 114 115 SP SD: 0.2156 c. M: 0.4819 c. 1079: 77 116 77 116 77 116 76 116 77 116 115 SP SD: 0.3149 c. M:-0.4087 c. 1080: 77 117 76 116 77 116 77 116 77 116 115 SP SD: 0.3145 c. M:-0.5116 c. 1082: 78 116 76 117 77 116 77 116 78 115 116 SP SD: 0.3072 c. M:-0.5077 c. 1085: 78 116 77 117 77 117 77 116 78 116 116 SP S SD: 0.2710 c. M: 0.4817 c. 1089: 78 117 77 117 78 117 77 117 78 116 117 SP SD: 0.2497 c. M: 0.6761 c. 1094: 78 118 77 118 78 118 77 118 78 117 117 SP S SD: 0.2384 c. M: 0.4448 c. 1100: 79 118 78 118 79 118 78 118 79 117 118 SP SD: 0.2110 c. M: 0.4778 c. 1117: 80 120 79 120 80 120 79 120 80 119 120 SP SD: 0.2500 c. M: 0.6673 c. 1122: 80 121 79 121 80 121 79 121 80 120 120 SP S SD: 0.2328 c. M: 0.4373 c. 1128: 81 121 80 121 81 121 80 121 81 120 121 SP SD: 0.2071 c. M: 0.4739 c. 1133: 81 122 80 122 81 122 80 122 81 121 121 SP S SD: 0.2058 c. M:-0.3971 c. 1156: 83 124 82 124 83 124 82 124 83 123 124 SP SD: 0.2040 c. M: 0.4703 c. 1161: 83 125 82 125 83 125 82 125 83 124 124 SP S SD: 0.1955 c. M:-0.3789 c. 1176: 84 127 83 126 84 127 83 126 85 125 126 SP SD: 0.2747 c. M:-0.3765 c. 1178: 84 127 83 127 84 127 83 127 84 126 126 SP S SD: 0.2238 c. M: 0.4300 c. 1184: 85 127 84 127 85 127 84 127 85 126 127 SP SD: 0.2015 c. M: 0.4667 c. 1189: 85 128 84 128 85 128 84 128 85 127 127 SP S SD: 0.1861 c. M:-0.3615 c. 1204: 86 130 85 129 86 130 85 129 87 128 129 SP SD: 0.2678 c. M: 0.3594 c. 1206: 86 130 85 130 86 130 85 130 86 129 129 SP S SD: 0.2203 c. M: 0.4267 c. 1212: 87 130 86 130 87 130 86 130 87 129 130 SP SD: 0.1996 c. M: 0.4634 c. 1217: 87 131 86 131 87 131 86 131 87 130 130 SP S SD: 0.1776 c. M:-0.3449 c. 1245: 89 134 88 134 89 134 88 134 89 133 133 SP S SD: 0.1700 c. M:-0.3291 c. 1273: 91 137 90 137 91 137 90 137 91 136 136 SP S SD: 0.1632 c. M:-0.3139 c. 1301: 93 140 92 140 93 140 92 140 93 139 139 SP S SD: 0.1572 c. M:-0.2994 c. 1329: 95 143 94 143 95 143 94 143 95 142 142 SP S SD: 0.1519 c. M:-0.2856 c. 1357: 97 146 96 146 97 146 96 146 97 145 145 SP S SD: 0.1474 c. M:-0.2722 c. 1385: 99 149 98 149 99 149 98 149 99 148 148 SP S SD: 0.1436 c. M:-0.2595 c. 1413: 101 152 100 152 101 152 100 152 101 151 151 SP S SD: 0.1405 c. M:-0.2472 c. 1441: 103 155 102 155 103 155 102 155 103 154 154 SP S SD: 0.1380 c. M:-0.2354 c. 1469: 105 158 104 158 105 158 104 158 105 157 157 SP S SD: 0.1361 c. M: 0.2262 c. 1497: 107 161 106 161 107 161 106 161 107 160 160 SP S SD: 0.1348 c. M: 0.2273 c. 1525: 109 164 108 164 109 164 108 164 109 163 163 SP S SD: 0.1340 c. M: 0.2283 c. 1553: 111 167 110 167 111 167 110 167 111 166 166 SP S SD: 0.1337 c. M: 0.2339 c. 1581: 113 170 112 170 113 170 112 170 113 169 169 SP S SD: 0.1338 c. M: 0.2432 c. 1590: 114 171 112 171 114 171 112 171 114 170 170 SP S SD: 0.1395 c. M: 0.2737 c. 1609: 115 173 114 173 115 173 114 173 115 172 172 SP S SD: 0.1343 c. M: 0.2521 c. 1618: 116 174 114 174 116 174 114 174 116 173 173 SP S SD: 0.1367 c. M: 0.2672 c. 1637: 117 176 116 176 117 176 116 176 117 175 175 SP S SD: 0.1351 c. M: 0.2608 c. 1646: 118 177 116 177 118 177 116 177 118 176 176 SP S SD: 0.1343 c. M: 0.2609 c. 1674: 120 180 118 180 120 180 118 180 120 179 179 SP S SD: 0.1325 c. M: 0.2548 c. 1702: 122 183 120 183 122 183 120 183 122 182 182 SP S SD: 0.1311 c. M: 0.2489 c. 1713: 123 184 121 184 123 184 121 184 123 183 183 SP S SD: 0.1293 c. M:-0.2628 c. 1730: 124 186 122 186 124 186 122 186 124 185 185 SP S SD: 0.1301 c. M: 0.2432 c. 1741: 125 187 123 187 125 187 123 187 125 186 186 SP S SD: 0.1240 c. M:-0.2531 c. 1758: 126 189 124 189 126 189 124 189 126 188 188 SP S SD: 0.1295 c. M: 0.2376 c. 1769: 127 190 125 190 127 190 125 190 127 189 189 SP S SD: 0.1192 c. M:-0.2438 c. 1786: 128 192 126 192 128 192 126 192 128 191 191 SP S SD: 0.1293 c. M: 0.2323 c. 1797: 129 193 127 193 129 193 127 193 129 192 192 SP S SD: 0.1149 c. M:-0.2347 c. 1814: 130 195 128 195 130 195 128 195 130 194 194 SP S SD: 0.1294 c. M: 0.2271 c. 1825: 131 196 129 196 131 196 129 196 131 195 195 SP S SD: 0.1111 c. M:-0.2260 c. 1842: 132 198 130 198 132 198 130 198 132 197 197 SP S SD: 0.1298 c. M: 0.2221 c. 1853: 133 199 131 199 133 199 131 199 133 198 198 SP S SD: 0.1077 c. M:-0.2174 c. 1870: 134 201 132 201 134 201 132 201 134 200 200 SP S SD: 0.1305 c. M: 0.2172 c. 1881: 135 202 133 202 135 202 133 202 135 201 201 SP S SD: 0.1049 c. M:-0.2092 c. 1909: 137 205 135 205 137 205 135 205 137 204 204 SP S SD: 0.1025 c. M:-0.2012 c. 1937: 139 208 137 208 139 208 137 208 139 207 207 SP S SD: 0.1005 c. M:-0.1934 c. 1965: 141 211 139 211 141 211 139 211 141 210 210 SP S SD: 0.0990 c. M:-0.1858 c. 1993: 143 214 141 214 143 214 141 214 143 213 213 SP S SD: 0.0980 c. M:-0.1784 c. 2021: 145 217 143 217 145 217 143 217 145 216 216 SP S SD: 0.0973 c. M: 0.1790 c. 2049: 147 220 145 220 147 220 145 220 147 219 219 SP S SD: 0.0970 c. M: 0.1808 c. 2348: 168 253 166 252 168 252 166 253 168 251 251 SP S SD: 0.1050 c. M: 0.1777 c. 2372: 170 255 168 255 169 255 168 255 170 253 254 SP SD: 0.1029 c. M: 0.2497 c. 2376: 170 256 168 255 170 255 168 256 170 254 254 SP S SD: 0.1049 c. M: 0.1743 c. 2400: 172 258 170 258 171 258 170 258 172 257 256 SP SD: 0.1035 c. M:-0.2495 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x 4 S SD: 13.2511 cents 3 x x x x 4 x x 5 x x 6 S SD: 10.5204 cents 4 x x x 5 x x 6 x 7 x 8 S SD: 14.0432 cents 5 x x 6 x x 7 x 8 x 9:10 S SD: 18.7965 cents 6 x x 7 x 8 x 9:10 x 11:12 S SD: 9.5603 cents 7 x 8 x 9 x 10:11 x 12:13:14 S SD: 9.0443 cents 8 x 9 x 10:11 x 12:13:14:15:16 S SD: 9.0025 cents 9 x 10:11 x 12:13:14:15:16:17:18 S SD: 10.7271 cents 10 x 11:12:13 x x 15:16:17:19:20 SD: 11.3125 cents 11 x 12:13:14:15:16:17:18:19:20:22 S SD: 8.3261 cents 12:13 x 14:15:16:17:18:20:21:22:24 S SD: 10.0778 cents 13:14:15 x 17:18:19:20:21:22:24:26 SD: 9.4329 cents 14:15:16:17:18:19:20:21:23:24:26:28 SD: 6.0464 cents 15:16:17:18:19:20:22:23:25:26:28:30 SD: 4.9460 cents 21:22:24:25:27:28:30:32:34:36:39:42 SD: 4.0058 cents 22:23:25:26:28:30:32:34:36:38:41:44 SD: 3.6251 cents 31:33:35:37:40:42:45:47:51:53:58:62 SD: 3.2935 cents 32:34:36:38:41:43:46:49:53:55:59:64 SD: 3.2359 cents 33:35:37:39:42:44:48:50:54:57:61:66 SD: 3.2326 cents 35:37:40:42:45:47:51:53:57:60:65:70 SD: 3.0404 cents 36:38:41:43:46:48:52:55:59:62:67:72 SD: 2.2548 cents 38:40:43:45:49:51:55:58:62:66:71:76 SD: 2.2242 cents 44:46:50:52:56:59:64:67:72:76:82:88 SD: 2.0401 cents 53:56:60:63:68:71:77:81:87:91:98:106 SD: 1.6397 cents 58:61:66:69:74:78:84:88:95:100:108:116 SD: 1.3265 cents 75:79:85:89:96:101:109:114:123:129:139:150 SD: 0.8876 cents 84:88:95:100:108:113:122:128:138:145:156:168 SD: 0.8661 cents 100:105:113:119:128:135:145:152:164:172:186:200 SD: 0.8358 cents 113:119:128:134:145:152:164:172:185:195:210:226 SD: 0.7482 cents 120:126:136:143:154:162:174:183:197:207:223:240 SD: 0.6937 cents 122:128:138:145:156:164:177:186:200:210:227:244 SD: 0.6814 cents 136:143:154:162:174:183:197:207:223:235:253:272 SD: 0.5956 cents 138:145:156:164:177:186:200:210:226:238:256:276 SD: 0.5601 cents 142:149:161:169:182:191:206:216:233:245:264:284 SD: 0.4722 cents 153:161:173:182:196:206:222:233:251:264:284:306 SD: 0.3366 cents 260:273:294:309:333:350:377:396:427:448:483:520 SD: 0.3306 cents 271:285:307:322:347:365:393:413:445:467:503:542 SD: 0.2990 cents 295:310:334:351:378:397:428:449:484:509:548:590 SD: 0.1915 cents 413:434:468:491:529:556:599:629:678:712:767:826 SD: 0.1604 cents 476:500:539:566:610:641:690:725:781:821:884:952 SD: 0.1356 cents 491:516:556:584:629:661:712:748:806:847:912:982 SD: 0.0884 cents 566:595:641:673:725:762:821:862:929:976:1051:1132 SD: 0.0855 cents