Scala analysis: xen18-mitchell-fractal-1
Geordan's Scale, by eyeball
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.095 cents 58.094646 2: 175.684 cents 175.684193 3: 305.560 cents 305.560288 4: 443.513 cents 443.513434 5: 600.017 cents 600.016603 6: 715.424 cents 715.424326 7: 843.018 cents 843.018101 8: 971.641 cents 971.641450 9: 1117.182 cents 1117.182387 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 82.8176 cents 82.8176 1: 58.0946 cents 58.0946 2: 117.5895 cents 117.5895 3: 129.8761 cents 129.8761 4: 137.9531 cents 137.9531 5: 156.5032 cents 156.5032 6: 115.4077 cents 115.4077 7: 127.5938 cents 127.5938 8: 128.6233 cents 128.6233 9: 145.5409 cents 145.5409 10: 82.8176 cents 82.8176
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 58.09465 cents 1: 1 82.81761 cents 1: 1 115.40772 cents 1: 1 117.58955 cents 1: 1 127.59378 cents 1: 1 128.62335 cents 1: 1 129.87609 cents 1: 1 137.95315 cents 1: 1 145.54094 cents 1: 1 156.50317 cents 2: 1 140.91226 cents 2: 1 175.68419 cents 2: 1 228.35855 cents 2: 1 243.00150 cents 2: 1 247.46564 cents 2: 1 256.21712 cents 2: 1 267.82924 cents 2: 1 271.91089 cents 2: 1 274.16429 cents 2: 1 294.45632 cents 3: 1 258.50181 cents 3: 1 286.45320 cents 3: 1 305.56029 cents 3: 1 356.98190 cents 3: 1 371.62485 cents 3: 1 385.41879 cents 3: 1 399.50467 cents 3: 1 401.75806 cents 3: 1 409.86404 cents 3: 1 424.33241 cents 4: 1 388.37790 cents 4: 1 404.04274 cents 4: 1 415.07654 cents 4: 1 443.51343 cents 4: 1 484.57567 cents 4: 1 517.16578 cents 4: 1 528.12802 cents 4: 1 537.45781 cents 4: 1 539.74013 cents 4: 1 541.92196 cents 5: 1 526.33105 cents 5: 1 532.66609 cents 5: 1 533.91884 cents 5: 1 542.67032 cents 5: 1 599.98340 cents 5: 1 600.01660 cents 5: 1 657.32968 cents 5: 1 666.08116 cents 5: 1 667.33391 cents 5: 1 673.66895 cents 6: 1 658.07804 cents 6: 1 660.25987 cents 6: 1 662.54219 cents 6: 1 671.87198 cents 6: 1 682.83422 cents 6: 1 715.42433 cents 6: 1 756.48657 cents 6: 1 784.92346 cents 6: 1 795.95726 cents 6: 1 811.62210 cents 7: 1 775.66759 cents 7: 1 790.13596 cents 7: 1 798.24194 cents 7: 1 800.49533 cents 7: 1 814.58121 cents 7: 1 828.37515 cents 7: 1 843.01810 cents 7: 1 894.43971 cents 7: 1 913.54680 cents 7: 1 941.49819 cents 8: 1 905.54368 cents 8: 1 925.83571 cents 8: 1 928.08911 cents 8: 1 932.17076 cents 8: 1 943.78288 cents 8: 1 952.53436 cents 8: 1 956.99850 cents 8: 1 971.64145 cents 8: 1 1024.31581 cents 8: 1 1059.08774 cents 9: 1 1043.49683 cents 9: 1 1054.45906 cents 9: 1 1062.04685 cents 9: 1 1070.12391 cents 9: 1 1071.37665 cents 9: 1 1072.40622 cents 9: 1 1082.41045 cents 9: 1 1084.59228 cents 9: 1 1117.18239 cents 9: 1 1141.90535 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 10.00000 = 10
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 58.1 175.7 305.6 443.5 600.0 715.4 843.0 971.6 1117.2 1200.0 58.1 : 117.6 247.5 385.4 541.9 657.3 784.9 913.5 1059.1 1141.9 1200.0 175.7 : 129.9 267.8 424.3 539.7 667.3 796.0 941.5 1024.3 1082.4 1200.0 305.6 : 138.0 294.5 409.9 537.5 666.1 811.6 894.4 952.5 1070.1 1200.0 443.5 : 156.5 271.9 399.5 528.1 673.7 756.5 814.6 932.2 1062.0 1200.0 600.0 : 115.4 243.0 371.6 517.2 600.0 658.1 775.7 905.5 1043.5 1200.0 715.4 : 127.6 256.2 401.8 484.6 542.7 660.3 790.1 928.1 1084.6 1200.0 843.0 : 128.6 274.2 357.0 415.1 532.7 662.5 800.5 957.0 1072.4 1200.0 971.6 : 145.5 228.4 286.5 404.0 533.9 671.9 828.4 943.8 1071.4 1200.0 1117.2: 82.8 140.9 258.5 388.4 526.3 682.8 798.2 925.8 1054.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.0946 .. 156.5032 cents 98.40852 cents 58.09465 cents 2: 140.9123 .. 294.4563 cents 153.54406 cents -15.59091 cents 3: 258.5018 .. 424.3324 cents 165.83060 cents -35.95451 cents 4: 388.3779 .. 541.9220 cents 153.54406 cents -35.95451 cents 5: 526.3310 .. 673.6690 cents 147.33791 cents -15.59091 cents 6: 658.0780 .. 811.6221 cents 153.54406 cents -15.59091 cents 7: 775.6676 .. 941.4982 cents 165.83060 cents -35.95451 cents 8: 905.5437 .. 1059.0877 cents 153.54406 cents -35.95451 cents 9: 1043.4968 .. 1141.9054 cents 98.40852 cents -15.59091 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 58.09465 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 156.50317 cents Average / Smallest step : 2.065595 Largest / Average step : 1.304193 Largest / Smallest step : 2.693934 Median interval of one step : 128.10856 cents, amount: 0 Least squares average step : 119.79669 cents, oct.: 1197.96692 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJ Step pattern size order : ADGHJCEFIB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 0.74836 cents Scale diversity : 1.575187 Lumma stability : 0.096824 Lumma impropriety factor : 0.171818 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 2.000000 Number of different interval sizes : 90 = 10.00000 / class Number of one step interval sizes : 10 Highest interval variety : 10 Mean interval variety : 10.00000 = 10 Median interval variety : 10 Lowest interval variety : 10 Smallest interval difference : 0.03321 cents Number of recognisable fifths : 1, average 715.4243 cents Number of appreciable fifths : 0 Formal octave complements present : 1 = 10.0000% -- Rational properties --
FIT/MODE
10: 0 1 1 1 2 1 1 1 1 1 N T3 SD: 43.9277 c. M: 83.5134 c. 12: 1 1 1 1 2 1 1 2 1 1 N D3 S SD: 27.3122 c. M: 43.5134 c. 13: 1 1 1 2 2 1 1 2 1 1 N SD: 26.8481 c. M:-46.1372 c. 14: 1 1 2 1 2 1 2 1 2 1 P D3 SD: 20.7711 c. M:-37.2969 c. 15: 1 1 2 2 2 1 2 1 2 1 N SD: 23.2300 c. M:-39.9834 c. 16: 1 1 2 2 2 2 1 2 2 1 N SD: 16.1585 c. M:-34.5757 c. 19: 1 2 2 2 3 1 2 2 3 1 N SD: 17.9017 c. M:-31.5623 c. 20: 1 2 2 2 3 2 2 2 3 1 N SD: 11.3678 c. M: 23.5134 c. 24: 1 2 3 3 3 2 3 2 3 2 N SD: 13.5957 c. M: 25.6842 c. 26: 1 3 3 3 3 3 2 3 3 2 N SD: 12.7699 c. M:-23.0372 c. 27: 1 3 3 3 4 2 3 3 3 2 N SD: 9.0035 c. M:-22.2056 c. 28: 1 3 3 3 4 3 3 3 3 2 N SD: 10.4080 c. M: 15.2375 c. 30: 1 3 4 3 4 3 3 3 4 2 N SD: 9.8375 c. M: 18.0946 c. 32: 2 3 3 4 4 3 4 3 4 2 N SD: 9.7923 c. M:-19.4819 c. 38: 2 4 4 4 5 4 4 4 5 2 N SD: 9.8657 c. M:-19.6597 c. 40: 2 4 4 5 5 4 4 4 5 3 N SD: 5.5893 c. M: 11.6414 c. 46: 2 5 5 5 6 4 5 5 6 3 N SD: 6.2574 c. M: 11.0765 c. 47: 2 5 5 5 7 4 5 5 6 3 N SD: 5.9400 c. M:-12.7494 c. 48: 2 5 5 6 6 5 5 5 6 3 N SD: 5.9314 c. M:-9.5757 c. 54: 3 5 6 6 7 5 6 6 6 4 N SD: 4.5243 c. M:-8.5720 c. 60: 3 6 6 7 8 6 6 7 7 4 N SD: 4.1637 c. M:-8.3585 c. 62: 3 6 7 7 8 6 7 6 8 4 N SD: 3.7497 c. M:-8.5948 c. 64: 3 6 7 8 8 6 7 7 8 4 N SD: 4.5383 c. M:-7.8176 c. 67: 3 7 7 8 8 7 7 7 8 5 N SD: 4.4535 c. M: 8.9718 c. 70: 3 7 8 8 9 7 7 8 8 5 N SD: 3.8100 c. M: 6.6661 c. 74: 4 7 8 8 10 7 8 8 9 5 N SD: 3.1668 c. M:-6.7702 c. 82: 4 8 9 9 11 8 9 8 10 6 N SD: 3.4312 c. M: 5.7878 c. 84: 4 8 9 10 11 8 9 9 10 6 N SD: 2.4520 c. M: 5.5603 c. 90: 4 9 10 10 12 9 9 10 11 6 N SD: 2.8742 c. M: 4.7613 c. 102: 5 10 11 12 13 10 11 11 12 7 N SD: 2.4213 c. M:-4.8291 c. 114: 6 11 12 13 15 11 12 12 14 8 N SD: 2.2723 c. M:-5.0632 c. 118: 6 11 13 14 15 11 13 13 14 8 N SD: 2.6368 c. M:-4.6297 c. 121: 6 12 13 14 16 11 13 13 15 8 N SD: 2.4424 c. M:-4.9421 c. 122: 6 12 13 14 16 12 13 13 15 8 N SD: 2.0154 c. M:-4.1291 c. 128: 6 13 14 14 17 12 14 14 15 9 N SD: 2.3462 c. M:-3.8147 c. 130: 6 13 14 15 17 12 14 14 16 9 N SD: 2.1254 c. M: 4.6551 c. 132: 6 13 15 15 17 13 14 14 16 9 N SD: 2.3085 c. M: 3.5492 c. 138: 7 13 15 16 18 13 15 15 16 10 N SD: 2.0120 c. M: 4.1389 c. 141: 7 14 15 16 19 13 15 15 17 10 N SD: 1.9690 c. M:-4.2387 c. 142: 7 14 15 16 19 14 15 15 17 10 N SD: 1.9526 c. M: 4.0768 c. 144: 7 14 16 16 19 14 15 16 17 10 N SD: 1.6292 c. M:-3.3585 c. 148: 7 15 16 17 19 14 16 16 18 10 N SD: 1.7305 c. M:-2.6942 c. 158: 8 15 17 18 21 15 17 17 19 11 N SD: 1.5262 c. M: 3.0071 c. 162: 8 16 17 19 21 16 17 17 20 11 N SD: 1.5831 c. M:-3.0942 c. 164: 8 16 18 19 21 16 17 18 20 11 N SD: 1.5552 c. M:-2.8280 c. 168: 8 17 18 19 22 16 18 18 20 12 N SD: 1.4811 c. M: 2.8967 c. 178: 9 17 19 21 23 17 19 19 22 12 N SD: 1.3726 c. M:-2.5795 c. 184: 9 18 20 21 24 18 19 20 22 13 N SD: 1.1012 c. M:-1.9670 c. 232: 11 23 25 27 30 22 25 25 28 16 N SD: 0.8132 c. M: 1.6312 c. 246: 12 24 27 28 32 24 26 26 30 17 N SD: 0.8820 c. M:-1.7568 c. 252: 12 25 27 29 33 24 27 27 31 17 N SD: 0.8413 c. M:-1.8652 c. 290: 14 28 32 33 38 28 31 31 35 20 N SD: 0.8147 c. M: 1.8911 c. 306: 15 30 33 35 40 29 33 33 37 21 N SD: 0.7304 c. M: 1.6988 c. 322: 16 31 35 37 42 31 34 35 39 22 N SD: 0.7073 c. M:-1.5327 c. 330: 16 32 36 38 43 32 35 35 40 23 N SD: 0.6166 c. M: 1.1387 c. 374: 18 37 40 43 49 36 40 40 45 26 N SD: 0.5656 c. M:-0.8322 c. 376: 18 37 41 43 49 36 40 40 46 26 N SD: 0.6079 c. M: 1.4287 c. 404: 20 39 44 46 53 39 43 43 49 28 N SD: 0.6048 c. M:-1.3113 c. 416: 20 41 45 48 54 40 44 45 50 29 N SD: 0.4720 c. M: 0.8362 c. 436: 21 43 47 50 57 42 46 47 53 30 N SD: 0.3500 c. M: 0.8163 c. 490: 24 48 53 56 64 47 52 53 59 34 N SD: 0.4740 c. M:-0.6809 c. 498: 24 49 54 57 65 48 53 53 61 34 N SD: 0.4047 c. M:-0.8899 c. 520: 25 51 56 60 68 50 55 56 63 36 N SD: 0.4381 c. M: 0.9449 c. 538: 26 53 58 62 70 52 57 58 65 37 N SD: 0.3925 c. M:-0.8493 c. 562: 27 55 61 65 73 54 60 60 68 39 N SD: 0.3705 c. M:-0.6147 c. 582: 28 57 63 67 76 56 62 62 71 40 N SD: 0.3131 c. M: 0.5074 c. 636: 31 62 69 73 83 61 68 68 77 44 N SD: 0.2284 c. M:-0.3959 c. 766: 37 75 83 88 100 74 81 82 93 53 N SD: 0.2392 c. M:-0.5026 c. 914: 44 90 99 105 119 88 97 98 111 63 N SD: 0.1997 c. M:-0.3478 c. 998: 48 98 108 115 130 96 106 107 121 69 N SD: 0.1624 c. M: 0.3792 c. 1018: 49 100 110 117 133 98 108 109 124 70 N SD: 0.2252 c. M: 0.3343 c. 1052: 51 103 114 121 137 101 112 113 127 73 N SD: 0.1938 c. M: 0.4523 c. 1072: 52 105 116 123 140 103 114 115 130 74 N SD: 0.0996 c. M: 0.2299 c. 1402: 68 137 152 161 183 135 149 150 170 97 N SD: 0.1319 c. M: 0.2206 c. 1550: 75 152 168 178 202 149 165 166 188 107 N SD: 0.0934 c. M:-0.2462 c. 1634: 79 160 177 188 213 157 174 175 198 113 N SD: 0.0946 c. M: 0.1689 c. 1940: 94 190 210 223 253 187 206 208 235 134 N SD: 0.0928 c. M:-0.2458 c. 1986: 96 195 215 228 259 191 211 213 241 137 N SD: 0.0890 c. M:-0.1799 c. 2070: 100 203 224 238 270 199 220 222 251 143 N SD: 0.0690 c. M: 0.1236 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 6.7347 cents 3 x x x 4 x x 5 x x 6 S SD: 22.8102 cents 4 x x x 5 x 6 x 7 x 8 S SD: 14.7079 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 11.6280 cents 6 x x 7:8 x 9:10 x 11:12 S SD: 17.4487 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 14.7569 cents 8 x 9 x 10:11:12:13:14:15:16 S SD: 10.8048 cents 9 x 10:11:12:13:14:15:16:17:18 S SD: 11.7201 cents 10 x 11:12:13:14:15:16:18:19:20 S SD: 6.8728 cents 11 x 12:13:14:16:17:18:19:21:22 SD: 8.7093 cents 12 x 13:14:16:17:18:20:21:23:24 SD: 9.8373 cents 13 x 14:16:17:18:20:21:23:25:26 SD: 10.2428 cents 14 x 16:17:18:20:21:23:25:27:28 SD: 8.7980 cents 16:17:18:19:21:23:24:26:28:31:32 SD: 7.4637 cents 17:18:19:20:22:24:26:28:30:32:34 S SD: 6.3437 cents 19:20:21:23:25:27:29:31:33:36:38 SD: 5.7599 cents 20:21:22:24:26:28:30:33:35:38:40 SD: 4.6157 cents 21:22:23:25:27:30:32:34:37:40:42 SD: 3.9692 cents 27:28:30:32:35:38:41:44:47:51:54 SD: 2.7809 cents 31:32:34:37:40:44:47:50:54:59:62 SD: 2.6320 cents 37:38:41:44:48:52:56:60:65:71:74 SD: 2.2941 cents 48:50:53:57:62:68:73:78:84:92:96 SD: 2.1334 cents 51:53:56:61:66:72:77:83:89:97:102 SD: 1.9489 cents 53:55:59:63:68:75:80:86:93:101:106 SD: 1.8940 cents 55:57:61:66:71:78:83:90:96:105:110 SD: 1.7700 cents 56:58:62:67:72:79:85:91:98:107:112 SD: 1.4093 cents 65:67:72:78:84:92:98:106:114:124:130 SD: 1.3190 cents 78:81:86:93:101:110:118:127:137:149:156 SD: 1.2739 cents 82:85:91:98:106:116:124:133:144:156:164 SD: 1.0301 cents 86:89:95:103:111:122:130:140:151:164:172 SD: 0.9944 cents 92:95:102:110:119:130:139:150:161:175:184 SD: 0.8449 cents 113:117:125:135:146:160:171:184:198:215:226 SD: 0.5739 cents 140:145:155:167:181:198:212:228:245:267:280 SD: 0.5226 cents 150:155:166:179:194:212:227:244:263:286:300 SD: 0.3258 cents 234:242:259:279:302:331:354:381:410:446:468 SD: 0.2823 cents 290:300:321:346:375:410:438:472:508:553:580 SD: 0.2598 cents 319:330:353:381:412:451:482:519:559:608:638 SD: 0.2504 cents 328:339:363:391:424:464:496:534:575:625:656 SD: 0.2437 cents 346:358:383:413:447:489:523:563:606:660:692 SD: 0.2390 cents 352:364:390:420:455:498:532:573:617:671:704 SD: 0.2225 cents 357:369:395:426:461:505:540:581:626:681:714 SD: 0.2107 cents 383:396:424:457:495:542:579:623:671:730:766 SD: 0.1876 cents 384:397:425:458:496:543:580:625:673:732:768 SD: 0.1761 cents 493:510:546:588:637:697:745:802:864:940:986 SD: 0.1721 cents 497:514:550:593:642:703:751:809:871:948:994 SD: 0.1346 cents 524:542:580:625:677:741:792:853:918:999:1048 SD: 0.1269 cents 534:552:591:637:690:755:807:869:936:1018:1068 SD: 0.1063 cents 555:574:614:662:717:785:839:903:973:1058:1110 SD: 0.1048 cents