Scala analysis: chris
11-note 5-limit meantone lesfip
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 71.998 cents 71.998290 2: 191.392 cents 191.392290 3: 384.188 cents 384.188430 4: 503.582 cents 503.582430 5: 575.581 cents 575.580720 6: 695.111 cents 695.111200 7: 769.761 cents 769.761220 8: 887.790 cents 887.790360 9: 1005.819 cents 1005.819500 10: 1080.470 cents 1080.469520 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 119.5305 cents 119.5305 1: 71.9983 cents 71.9983 2: 119.3940 cents 119.3940 3: 192.7961 cents 192.7961 4: 119.3940 cents 119.3940 5: 71.9983 cents 71.9983 6: 119.5305 cents 119.5305 7: 74.6500 cents 74.6500 8: 118.0291 cents 118.0291 9: 118.0291 cents 118.0291 10: 74.6500 cents 74.6500 11: 119.5305 cents 119.5305
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 71.99829 cents 1: 2 74.65002 cents 1: 2 118.02914 cents 1: 2 119.39400 cents 1: 2 119.53048 cents 1: 1 192.79614 cents 2: 2 191.39229 cents 2: 2 191.52877 cents 2: 2 192.67916 cents 2: 2 194.18050 cents 2: 1 236.05828 cents 2: 2 312.19014 cents 3: 2 266.17879 cents 3: 2 310.70830 cents 3: 2 310.92277 cents 3: 2 312.20964 cents 3: 2 384.18843 cents 3: 1 431.58414 cents 4: 2 384.20793 cents 4: 1 385.35832 cents 4: 2 385.57279 cents 4: 2 430.23878 cents 4: 2 503.58243 cents 4: 2 503.71891 cents 5: 2 502.23707 cents 5: 2 503.60193 cents 5: 2 504.88880 cents 5: 1 575.58072 cents 5: 2 578.36893 cents 5: 2 623.11291 cents 6: 2 576.88709 cents 6: 2 621.63107 cents 6: 1 624.41928 cents 6: 2 695.11120 cents 6: 2 696.39807 cents 6: 2 697.76293 cents 7: 2 696.28109 cents 7: 2 696.41757 cents 7: 2 769.76122 cents 7: 2 814.42721 cents 7: 1 814.64168 cents 7: 2 815.79207 cents 8: 1 768.41586 cents 8: 2 815.81157 cents 8: 2 887.79036 cents 8: 2 889.07723 cents 8: 2 889.29170 cents 8: 2 933.82121 cents 9: 2 887.80986 cents 9: 1 963.94172 cents 9: 2 1005.81950 cents 9: 2 1007.32084 cents 9: 2 1008.47123 cents 9: 2 1008.60771 cents 10: 1 1007.20386 cents 10: 2 1080.46952 cents 10: 2 1080.60600 cents 10: 2 1081.97086 cents 10: 2 1125.34998 cents 10: 2 1128.00171 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 : 72.0 191.4 384.2 503.6 575.6 695.1 769.8 887.8 1005.8 1080.5 1200.0 72.0 : 119.4 312.2 431.6 503.6 623.1 697.8 815.8 933.8 1008.5 1128.0 1200.0 191.4 : 192.8 312.2 384.2 503.7 578.4 696.4 814.4 889.1 1008.6 1080.6 1200.0 384.2 : 119.4 191.4 310.9 385.6 503.6 621.6 696.3 815.8 887.8 1007.2 1200.0 503.6 : 72.0 191.5 266.2 384.2 502.2 576.9 696.4 768.4 887.8 1080.6 1200.0 575.6 : 119.5 194.2 312.2 430.2 504.9 624.4 696.4 815.8 1008.6 1128.0 1200.0 695.1 : 74.7 192.7 310.7 385.4 504.9 576.9 696.3 889.1 1008.5 1080.5 1200.0 769.8 : 118.0 236.1 310.7 430.2 502.2 621.6 814.4 933.8 1005.8 1125.3 1200.0 887.8 : 118.0 192.7 312.2 384.2 503.6 696.4 815.8 887.8 1007.3 1082.0 1200.0 1005.8: 74.7 194.2 266.2 385.6 578.4 697.8 769.8 889.3 963.9 1082.0 1200.0 1080.5: 119.5 191.5 310.9 503.7 623.1 695.1 814.6 889.3 1007.3 1125.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.9983 .. 192.7961 cents 120.79785 cents 71.99829 cents 2: 191.3923 .. 312.1901 cents 120.79785 cents -1.40385 cents 3: 266.1788 .. 431.5841 cents 165.40535 cents -46.01135 cents 4: 384.2079 .. 503.7189 cents 119.51098 cents -47.37621 cents 5: 502.2371 .. 623.1129 cents 120.87584 cents -1.48184 cents 6: 576.8871 .. 697.7629 cents 120.87584 cents -46.22582 cents 7: 696.2811 .. 815.7921 cents 119.51098 cents -1.48184 cents 8: 768.4159 .. 933.8212 cents 165.40535 cents -47.37621 cents 9: 887.8099 .. 1008.6077 cents 120.79785 cents -46.01135 cents 10: 1007.2039 .. 1128.0017 cents 120.79785 cents -1.40385 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 71.99829 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 192.79614 cents Average / Smallest step : 1.515188 Largest / Average step : 1.767298 Largest / Smallest step : 2.677788 Median interval of one step : 118.02914 cents, amount: 2 Least squares average step : 111.10271 cents, oct.: 1222.12980 cents Scale is not proper Step pattern alph. order: ABCBADEFFED Step pattern size order : ADFDAEBCCBE Scale is a Constant Structure, by a margin of 0.01950 cents Scale diversity : 1.261082 Lumma stability : 0.119997 Lumma impropriety factor : 0.198977 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 : 0.01950 cents Number of recognisable fifths : 10, average 696.3942 cents Formal octave complements present : 1 = 9.0909% Limited inverse transpositions : 5 Inversional symmetry on degrees : 8 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
11: 1 1 2 1 0 1 1 1 1 1 1 N T3 SD: 30.2590 c. M:-52.1752 c. 12: 1 1 2 1 1 1 1 1 1 1 1 P M ME S SD: 17.1093 c. M:-30.2388 c. 19: 1 2 3 2 1 2 1 2 2 1 2 N S SD: 5.9188 c. M: 11.8665 c. 31: 2 3 5 3 2 3 2 3 3 2 3 N G S SD: 3.1488 c. M:-5.4211 c. 50: 3 5 8 5 3 5 3 5 5 3 5 N G S SD: 0.9374 c. M:-2.1805 c. 131: 8 13 21 13 8 13 8 13 13 8 13 N G S SD: 0.9797 c. M:-1.8141 c. 181: 11 18 29 18 11 18 11 18 18 11 18 N G S SD: 0.9000 c. M:-1.9153 c. 212: 13 21 34 21 13 21 13 21 21 13 21 N G S SD: 1.0793 c. M:-1.7778 c. 231: 14 23 37 23 14 23 14 23 23 14 23 N G S SD: 0.8765 c. M:-1.9727 c. 281: 17 28 45 28 17 28 17 28 28 17 28 N G S SD: 0.8705 c. M:-2.0097 c. 288: 17 29 46 29 17 29 18 28 28 18 29 N S SD: 0.9059 c. M: 1.6528 c. 300: 18 30 48 30 18 30 18 30 29 19 30 N SD: 0.8645 c. M: 1.8195 c. 302: 18 30 49 30 18 30 19 29 30 19 30 N SD: 0.8627 c. M: 1.6976 c. 307: 18 31 49 31 18 31 19 30 30 19 31 N S SD: 0.9727 c. M: 1.6422 c. 312: 19 31 50 31 19 31 19 31 31 19 31 N G S SD: 0.9279 c. M:-1.8728 c. 315: 19 31 51 31 19 31 20 31 31 20 31 N S SD: 0.8133 c. M: 1.7779 c. 319: 19 32 51 32 19 32 20 31 31 20 32 N S SD: 0.7597 c. M: 1.4308 c. 333: 20 33 54 33 20 33 21 32 33 21 33 N SD: 0.8708 c. M:-1.4100 c. 334: 20 33 54 33 20 33 21 33 33 21 33 N S SD: 0.7802 c. M: 1.6980 c. 338: 20 34 54 34 20 34 21 33 33 21 34 N S SD: 0.7238 c. M: 1.1796 c. 352: 21 35 57 35 21 35 22 34 35 22 35 N SD: 0.7015 c. M: 1.4267 c. 365: 22 36 59 36 22 36 23 36 36 23 36 N S SD: 0.6634 c. M: 1.4126 c. 369: 22 37 59 37 22 37 23 36 36 23 37 N S SD: 0.6036 c. M:-0.9705 c. 388: 23 39 62 39 23 39 24 38 38 24 39 N S SD: 0.6102 c. M: 1.0881 c. 400: 24 40 64 40 24 40 25 39 39 25 40 N S SD: 0.6042 c. M:-1.2388 c. 402: 24 40 65 40 24 40 25 39 40 25 40 N SD: 0.6015 c. M: 1.2232 c. 415: 25 41 67 41 25 41 26 41 41 26 41 N S SD: 0.5703 c. M: 1.1353 c. 419: 25 42 67 42 25 42 26 41 41 26 42 N S SD: 0.5056 c. M:-0.8315 c. 450: 27 45 72 45 27 45 28 44 44 28 45 N S SD: 0.5104 c. M:-0.9054 c. 469: 28 47 75 47 28 47 29 46 46 29 47 N S SD: 0.4499 c. M:-0.8376 c. 500: 30 50 80 50 30 50 31 49 49 31 50 N S SD: 0.4538 c. M:-0.8888 c. 515: 31 51 83 51 31 51 32 51 51 32 51 N S SD: 0.4912 c. M: 0.8292 c. 519: 31 52 83 52 31 52 32 51 51 32 52 N S SD: 0.4247 c. M:-0.8426 c. 533: 32 53 86 53 32 53 33 52 53 33 53 N SD: 0.5279 c. M:-0.8022 c. 534: 32 53 86 53 32 53 34 52 53 33 53 N SD: 0.5165 c. M:-1.0253 c. 538: 32 54 86 54 32 54 33 53 53 33 54 N S SD: 0.4952 c. M: 0.9156 c. 546: 33 54 88 54 33 54 34 54 54 34 54 N S SD: 0.4880 c. M:-0.8492 c. 550: 33 55 88 55 33 55 34 54 54 34 55 N S SD: 0.4249 c. M:-0.8888 c. 569: 34 57 91 57 34 57 35 56 56 35 57 N S SD: 0.4197 c. M:-0.8466 c. 583: 35 58 94 58 35 58 36 57 58 36 58 N SD: 0.5115 c. M:-0.7486 c. 584: 35 58 94 58 35 58 37 57 57 37 58 N S SD: 0.4608 c. M: 1.0250 c. 594: 36 59 95 59 36 59 37 58 59 37 59 N SD: 0.4593 c. M: 0.9217 c. 600: 36 60 96 60 36 60 37 59 59 37 60 N S SD: 0.4155 c. M:-0.8888 c. 603: 36 60 97 60 36 60 38 59 59 38 60 N S SD: 0.3989 c. M: 0.8444 c. 606: 36 61 97 60 37 60 38 59 60 38 60 N SD: 0.5261 c. M:-0.7186 c. 611: 37 60 99 60 37 61 38 60 60 38 61 N S SD: 0.4896 c. M: 0.8849 c. 613: 37 61 98 61 37 61 38 61 60 38 61 N SD: 0.4429 c. M:-0.9535 c. 619: 37 62 99 62 37 62 38 61 61 38 62 N S SD: 0.4270 c. M:-0.8500 c. 622: 37 62 100 62 37 62 39 61 61 39 62 N S SD: 0.4211 c. M: 0.6748 c. 634: 38 63 102 63 38 63 40 62 62 40 63 N S SD: 0.3517 c. M: 0.7722 c. 653: 39 65 105 65 39 65 41 64 64 41 65 N S SD: 0.3081 c. M: 0.6128 c. 672: 40 67 108 67 40 67 42 66 66 42 67 N S SD: 0.3537 c. M: 0.5807 c. 684: 41 68 110 68 41 68 43 67 67 43 68 N S SD: 0.2590 c. M: 0.5563 c. 703: 42 70 113 70 42 70 44 69 69 44 70 N S SD: 0.2357 c. M: 0.4141 c. 734: 44 73 118 73 44 73 46 72 72 46 73 N S SD: 0.1800 c. M: 0.3699 c. 753: 45 75 121 75 45 75 47 74 74 47 75 N S SD: 0.1823 c. M: 0.2905 c. 784: 47 78 126 78 47 78 49 77 77 49 78 N S SD: 0.1135 c. M: 0.2132 c. 834: 50 83 134 83 50 83 52 82 82 52 83 N S SD: 0.0632 c. M: 0.1472 c. 884: 53 88 142 88 53 88 55 87 87 55 88 N S SD: 0.0509 c. M: 0.0886 c. 1718: 103 171 276 171 103 171 107 169 169 107 171 N S SD: 0.0501 c. M: 0.1170 c. 1799: 108 179 289 179 108 179 112 177 177 112 179 N S SD: 0.0587 c. M:-0.1308 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 3 x x x x 4 S SD: 3.4219 cents 3 x x x 4 x x x 5 x x 6 S SD: 2.1715 cents 4 x x 5 x x 6 x x 7 x 8 S SD: 9.4203 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 16.5104 cents 6 x 7 x 8 x 9 x 10 x 11:12 S SD: 13.6970 cents 7 x 8:9 x 10 x 11:12 x 13:14 S SD: 12.9550 cents 8 x 9:10 x 11:12 x 13:14:15:16 S SD: 8.3478 cents 9 x 10:11:12 x 13:14:15:16:17:18 S SD: 8.1944 cents 10 x 11:12:13:14:15:16:17:18:19:20 S SD: 10.9048 cents 11 x 12:14:15 x 16:17:18:20:21:22 S SD: 11.0615 cents 12 x 13:15:16:17:18:19:20:21:22:24 SD: 8.1469 cents 15:16:17:19:20:21:22:23:25:27:28:30 SD: 6.4211 cents 16:17:18:20:21:22:24:25:27:29:30:32 SD: 5.6911 cents 18:19:20:22:24:25:27:28:30:32:34:36 SD: 4.6160 cents 20:21:22:25:27:28:30:31:33:36:37:40 SD: 4.2046 cents 23:24:26:29:31:32:34:36:38:41:43:46 SD: 3.7160 cents 24:25:27:30:32:33:36:37:40:43:45:48 SD: 3.3164 cents 27:28:30:34:36:38:40:42:45:48:50:54 SD: 3.1572 cents 28:29:31:35:37:39:42:44:47:50:52:56 SD: 3.1200 cents 32:33:36:40:43:45:48:50:53:57:60:64 SD: 3.0823 cents 33:34:37:41:44:46:49:51:55:59:62:66 SD: 2.9784 cents 36:38:40:45:48:50:54:56:60:64:67:72 SD: 2.6227 cents 41:43:46:51:55:57:61:64:68:73:77:82 SD: 2.2660 cents 43:45:48:54:58:60:64:67:72:77:80:86 SD: 1.9691 cents 45:47:50:56:60:63:67:70:75:80:84:90 SD: 1.7434 cents 48:50:54:60:64:67:72:75:80:86:90:96 SD: 1.6724 cents 51:53:57:64:68:71:76:80:85:91:95:102 SD: 1.5677 cents 61:64:68:76:82:85:91:95:102:109:114:122 SD: 1.4310 cents 66:69:74:82:88:92:99:103:110:118:123:132 SD: 1.4006 cents 68:71:76:85:91:95:102:106:114:122:127:136 SD: 1.1380 cents 69:72:77:86:92:96:103:108:115:123:129:138 SD: 1.0780 cents 77:80:86:96:103:107:115:120:129:138:144:154 SD: 1.0682 cents 89:93:99:111:119:124:133:139:149:159:166:178 SD: 0.9029 cents 93:97:104:116:124:130:139:145:155:166:174:186 SD: 0.8814 cents 97:101:108:121:130:135:145:151:162:173:181:194 SD: 0.8577 cents 109:114:122:136:146:152:163:170:182:195:203:218 SD: 0.7670 cents 112:117:125:140:150:156:167:175:187:200:209:224 SD: 0.6584 cents 121:126:135:151:162:169:181:189:202:216:226:242 SD: 0.5455 cents 136:142:152:170:182:190:203:212:227:243:254:272 SD: 0.5135 cents 137:143:153:171:183:191:205:214:229:245:256:274 SD: 0.4959 cents 145:151:162:181:194:202:217:226:242:259:271:290 SD: 0.4549 cents 170:177:190:212:227:237:254:265:284:304:317:340 SD: 0.4444 cents 188:196:210:235:251:262:281:293:314:336:351:376 SD: 0.4010 cents 213:222:238:266:285:297:318:332:356:381:398:426 SD: 0.3017 cents 257:268:287:321:344:358:384:401:429:459:480:514 SD: 0.2926 cents 281:293:314:351:376:392:420:438:469:502:525:562 SD: 0.2882 cents 282:294:315:352:377:393:421:440:471:504:526:564 SD: 0.2208 cents 334:348:373:417:447:466:499:521:558:597:623:668 SD: 0.1999 cents 350:365:391:437:468:488:523:546:584:626:653:700 SD: 0.1896 cents 403:420:450:503:539:562:602:629:673:720:752:806 SD: 0.1661 cents 427:445:477:533:571:595:638:666:713:763:797:854 SD: 0.1572 cents 471:491:526:588:630:657:704:735:787:842:879:942 SD: 0.1412 cents 495:516:553:618:662:690:740:772:827:885:924:990 SD: 0.1391 cents 539:562:602:673:721:752:805:841:900:964:1006:1078 SD: 0.1358 cents 548:571:612:684:733:764:819:855:915:980:1023:1096 SD: 0.1188 cents 563:587:629:703:753:785:841:878:940:1007:1051:1126 SD: 0.1154 cents