Scala analysis: chris_tuning_96501_96501
12-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: 306.331 cents 306.330990 4: 384.188 cents 384.188430 5: 503.582 cents 503.582430 6: 575.581 cents 575.580720 7: 695.111 cents 695.111200 8: 769.761 cents 769.761220 9: 887.790 cents 887.790360 10: 1005.819 cents 1005.819500 11: 1080.470 cents 1080.469520 12: 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: 114.9387 cents 114.9387 4: 77.8574 cents 77.8574 5: 119.3940 cents 119.3940 6: 71.9983 cents 71.9983 7: 119.5305 cents 119.5305 8: 74.6500 cents 74.6500 9: 118.0291 cents 118.0291 10: 118.0291 cents 118.0291 11: 74.6500 cents 74.6500 12: 119.5305 cents 119.5305
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 71.99829 cents 1: 2 74.65002 cents 1: 1 77.85744 cents 1: 1 114.93870 cents 1: 2 118.02914 cents 1: 2 119.39400 cents 1: 2 119.53048 cents 2: 2 191.39229 cents 2: 2 191.52877 cents 2: 2 192.67916 cents 2: 1 192.79614 cents 2: 2 194.18050 cents 2: 1 197.25144 cents 2: 1 234.33270 cents 2: 1 236.05828 cents 3: 2 266.17879 cents 3: 1 269.24973 cents 3: 1 306.33099 cents 3: 2 310.70830 cents 3: 2 310.92277 cents 3: 2 312.19014 cents 3: 2 312.20964 cents 4: 2 384.18843 cents 4: 2 384.20793 cents 4: 1 385.35832 cents 4: 2 385.57279 cents 4: 1 388.78021 cents 4: 1 425.86147 cents 4: 2 430.23878 cents 4: 1 431.58414 cents 5: 1 463.43023 cents 5: 1 500.51149 cents 5: 2 502.23707 cents 5: 2 503.58243 cents 5: 2 503.60193 cents 5: 2 503.71891 cents 5: 2 504.88880 cents 6: 1 575.58072 cents 6: 2 576.88709 cents 6: 2 578.36893 cents 6: 1 581.45937 cents 6: 1 618.54063 cents 6: 2 621.63107 cents 6: 2 623.11291 cents 6: 1 624.41928 cents 7: 2 695.11120 cents 7: 2 696.28109 cents 7: 2 696.39807 cents 7: 2 696.41757 cents 7: 2 697.76293 cents 7: 1 699.48851 cents 7: 1 736.56977 cents 8: 1 768.41586 cents 8: 2 769.76122 cents 8: 1 774.13853 cents 8: 1 811.21979 cents 8: 2 814.42721 cents 8: 1 814.64168 cents 8: 2 815.79207 cents 8: 2 815.81157 cents 9: 2 887.79036 cents 9: 2 887.80986 cents 9: 2 889.07723 cents 9: 2 889.29170 cents 9: 1 893.66901 cents 9: 1 930.75027 cents 9: 2 933.82121 cents 10: 1 963.94172 cents 10: 1 965.66730 cents 10: 1 1002.74856 cents 10: 2 1005.81950 cents 10: 1 1007.20386 cents 10: 2 1007.32084 cents 10: 2 1008.47123 cents 10: 2 1008.60771 cents 11: 2 1080.46952 cents 11: 2 1080.60600 cents 11: 2 1081.97086 cents 11: 1 1085.06130 cents 11: 1 1122.14256 cents 11: 2 1125.34998 cents 11: 2 1128.00171 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 7.45455 = 82/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 72.0 191.4 306.3 384.2 503.6 575.6 695.1 769.8 887.8 1005.8 1080.5 1200.0 72.0 : 119.4 234.3 312.2 431.6 503.6 623.1 697.8 815.8 933.8 1008.5 1128.0 1200.0 191.4 : 114.9 192.8 312.2 384.2 503.7 578.4 696.4 814.4 889.1 1008.6 1080.6 1200.0 306.3 : 77.9 197.3 269.2 388.8 463.4 581.5 699.5 774.1 893.7 965.7 1085.1 1200.0 384.2 : 119.4 191.4 310.9 385.6 503.6 621.6 696.3 815.8 887.8 1007.2 1122.1 1200.0 503.6 : 72.0 191.5 266.2 384.2 502.2 576.9 696.4 768.4 887.8 1002.7 1080.6 1200.0 575.6 : 119.5 194.2 312.2 430.2 504.9 624.4 696.4 815.8 930.8 1008.6 1128.0 1200.0 695.1 : 74.7 192.7 310.7 385.4 504.9 576.9 696.3 811.2 889.1 1008.5 1080.5 1200.0 769.8 : 118.0 236.1 310.7 430.2 502.2 621.6 736.6 814.4 933.8 1005.8 1125.3 1200.0 887.8 : 118.0 192.7 312.2 384.2 503.6 618.5 696.4 815.8 887.8 1007.3 1082.0 1200.0 1005.8: 74.7 194.2 266.2 385.6 500.5 578.4 697.8 769.8 889.3 963.9 1082.0 1200.0 1080.5: 119.5 191.5 310.9 425.9 503.7 623.1 695.1 814.6 889.3 1007.3 1125.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.9983 .. 119.5305 cents 47.53219 cents 71.99829 cents 2: 191.3923 .. 236.0583 cents 44.66599 cents 71.86181 cents 3: 266.1788 .. 312.2096 cents 46.03085 cents 30.12051 cents 4: 384.1884 .. 431.5841 cents 47.39571 cents 71.97879 cents 5: 463.4302 .. 504.8888 cents 41.45857 cents 31.84609 cents 6: 575.5807 .. 624.4193 cents 48.83856 cents 70.69192 cents 7: 695.1112 .. 736.5698 cents 41.45857 cents 70.69192 cents 8: 768.4159 .. 815.8116 cents 47.39571 cents 31.84609 cents 9: 887.7904 .. 933.8212 cents 46.03085 cents 71.97879 cents 10: 963.9417 .. 1008.6077 cents 44.66599 cents 30.12051 cents 11: 1080.4695 .. 1128.0017 cents 47.53219 cents 71.86181 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 71.99829 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 119.53048 cents Average / Smallest step : 1.388922 Largest / Average step : 1.195305 Largest / Smallest step : 1.660185 Median interval of one step : 116.48392 cents, amount: 0 Least squares average step : 98.82964 cents, oct.: 1185.95570 cents Scale is strictly proper Step pattern alph. order: ABCDBAEFGGFE Step pattern size order : AFDCFAGBEEBG Scale is a Constant Structure, by a margin of 30.12051 cents Scale diversity : 1.277108 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.580829 Rothenberg efficiency : 0.229798 redundancy: 0.770202 Efficiency x scale size : 2.757576 Number of different interval sizes : 82 = 7.45455 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 7.45455 = 82/11 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.01950 cents Number of recognisable fifths : 11, average 696.6755 cents Best fifths form a closed circle Formal octave complements present : 1 = 8.3333% Limited inverse transpositions with margin 47.5322 cents: 11 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 16.4825 c. M:-30.2388 c. Twelve-tone Chromatic (1/11-comma) 19: 1 2 2 1 2 1 2 1 2 2 1 2 P M ME SD: 6.2903 c. M: 11.8665 c. Meantone Chromatic (1/3-comma) 31: 2 3 3 2 3 2 3 2 3 3 2 3 SP M ME SD: 3.1657 c. M:-5.4211 c. Meantone Chromatic (53/220-comma) 50: 3 5 5 3 5 3 5 3 5 5 3 5 SP M DE SD: 1.8664 c. M:-5.6690 c. Meantone Chromatic (5/18-comma), Eair-12 81: 5 8 8 5 8 5 8 5 8 8 5 8 SP M DE SD: 1.8476 c. M:-4.7801 c. Meantone Chromatic (5/19-comma), Aurus-12 112: 7 11 11 7 11 7 11 7 11 11 7 11 SP M DE SD: 2.1005 c. M:-4.3833 c. Meantone Chromatic (7/27-comma), Meanpop-12 119: 7 12 11 8 12 7 12 7 12 12 7 12 SP SD: 1.8125 c. M: 3.8100 c. 131: 8 13 12 9 13 8 13 8 13 13 8 13 SP SD: 1.4969 c. M: 4.0409 c. 140: 8 14 14 9 14 8 14 9 14 13 9 14 SP SD: 2.2167 c. M:-3.6382 c. 148: 9 15 14 9 15 9 15 9 14 15 9 15 SP D3 SD: 2.0501 c. M: 4.0066 c. 150: 9 15 14 10 15 9 15 9 15 15 9 15 SP SD: 1.1217 c. M: 2.3310 c. 181: 11 18 17 12 18 11 18 11 18 18 11 18 SP SD: 0.9467 c. M:-1.9153 c. 200: 12 20 19 13 20 12 20 12 20 20 12 20 SP SD: 0.9026 c. M:-2.1805 c. 212: 13 21 20 14 21 13 21 13 21 21 13 21 SP SD: 1.0513 c. M:-1.7778 c. 231: 14 23 22 15 23 14 23 14 23 23 14 23 SP SD: 0.8405 c. M:-1.9727 c. 262: 16 26 25 17 26 16 26 16 26 26 16 26 SP SD: 0.9508 c. M:-1.8141 c. 278: 17 27 27 18 28 16 28 17 28 27 17 28 SP SD: 1.0878 c. M: 1.4800 c. 281: 17 28 27 18 28 17 28 17 28 28 17 28 SP SD: 0.8963 c. M:-2.0097 c. 302: 18 30 29 20 30 18 30 19 29 30 19 30 SP SD: 0.8328 c. M: 1.6976 c. 321: 19 32 31 21 32 19 32 20 31 32 20 32 SP SD: 0.7613 c. M: 1.8091 c. 328: 20 32 32 21 33 19 33 20 33 32 20 33 SP SD: 0.9985 c. M: 1.4685 c. 331: 20 33 32 21 33 20 33 20 33 32 21 33 SP SD: 0.9156 c. M:-1.8261 c. 332: 20 33 32 21 33 20 33 21 33 32 21 33 SP SD: 0.8378 c. M:-1.3663 c. 333: 20 33 32 22 33 20 33 21 32 33 21 33 SP SD: 0.8338 c. M:-1.4100 c. 334: 20 33 32 22 33 20 33 21 33 33 21 33 SP SD: 0.7949 c. M: 1.6980 c. 338: 20 34 32 22 34 20 34 21 33 33 21 34 SP SD: 0.7514 c. M: 1.1796 c. 352: 21 35 34 23 35 21 35 22 34 35 22 35 SP SD: 0.6862 c. M: 1.4267 c. 365: 22 36 35 24 36 22 36 23 36 36 23 36 SP SD: 0.6566 c. M: 1.4126 c. 369: 22 37 35 24 37 22 37 23 36 36 23 37 SP SD: 0.6067 c. M:-0.9705 c. 384: 23 38 37 25 38 23 38 24 38 38 24 38 SP SD: 0.6420 c. M: 1.3612 c. 388: 23 39 37 25 39 23 39 24 38 38 24 39 SP SD: 0.5857 c. M: 1.0881 c. 400: 24 40 38 26 40 24 40 25 39 39 25 40 SP SD: 0.5863 c. M:-1.2388 c. 415: 25 41 40 27 41 25 41 26 41 41 26 41 SP SD: 0.5484 c. M: 1.1353 c. 419: 25 42 40 27 42 25 42 26 41 41 26 42 SP SD: 0.4851 c. M:-0.8315 c. 450: 27 45 43 29 45 27 45 28 44 44 28 45 SP SD: 0.4982 c. M:-0.9054 c. 469: 28 47 45 30 47 28 47 29 46 46 29 47 SP SD: 0.4765 c. M:-0.8376 c. 500: 30 50 48 32 50 30 50 31 49 49 31 50 SP SD: 0.5017 c. M:-0.8888 c. 513: 31 51 49 33 51 31 51 32 51 50 32 51 SP SD: 0.4704 c. M:-1.0985 c. 533: 32 53 51 35 53 32 53 33 52 53 33 53 SP SD: 0.5070 c. M:-0.8022 c. 544: 33 54 52 35 54 33 54 34 53 54 34 54 SP SD: 0.4878 c. M: 1.0257 c. 550: 33 55 52 36 55 33 55 34 54 54 34 55 SP SD: 0.4791 c. M:-0.8888 c. 563: 34 56 54 36 56 34 56 35 56 55 35 56 SP SD: 0.4705 c. M:-1.0196 c. 569: 34 57 54 37 57 34 57 35 56 56 35 57 SP SD: 0.4301 c. M:-0.8466 c. 572: 34 57 55 37 57 34 57 36 56 56 36 57 SP SD: 0.4883 c. M: 0.9244 c. 583: 35 58 56 38 58 35 58 36 57 58 36 58 SP SD: 0.5005 c. M:-0.7486 c. 584: 35 58 56 38 58 35 58 37 57 57 37 58 SP SD: 0.4438 c. M: 1.0250 c. 600: 36 60 57 39 60 36 60 37 59 59 37 60 SP SD: 0.4091 c. M:-0.8888 c. 603: 36 60 58 39 60 36 60 38 59 59 38 60 SP SD: 0.3840 c. M: 0.8444 c. 606: 36 61 58 39 60 37 60 38 59 60 38 60 SP SD: 0.5326 c. M:-0.7186 c. 611: 37 60 59 40 60 37 61 38 60 60 38 61 SP SD: 0.4690 c. M: 0.8849 c. 615: 37 61 59 40 61 37 61 39 60 60 39 61 SP SD: 0.4519 c. M:-0.9705 c. 619: 37 62 59 40 62 37 62 38 61 61 38 62 SP SD: 0.4089 c. M:-0.8500 c. 622: 37 62 60 40 62 37 62 39 61 61 39 62 SP SD: 0.4211 c. M: 0.6748 c. 634: 38 63 61 41 63 38 63 40 62 62 40 63 SP SD: 0.3472 c. M: 0.7722 c. 653: 39 65 63 42 65 39 65 41 64 64 41 65 SP SD: 0.3364 c. M: 0.6128 c. 684: 41 68 66 44 68 41 68 43 67 67 43 68 SP SD: 0.3175 c. M:-0.6866 c. 703: 42 70 67 46 70 42 70 44 69 69 44 70 SP SD: 0.3195 c. M: 0.7833 c. 722: 43 72 69 47 72 43 72 45 71 71 45 72 SP SD: 0.3284 c. M: 0.5301 c. 734: 44 73 70 48 73 44 73 46 72 72 46 73 SP SD: 0.2462 c. M: 0.6089 c. 753: 45 75 72 49 75 45 75 47 74 74 47 75 SP SD: 0.2024 c. M: 0.3549 c. 784: 47 78 75 51 78 47 78 49 77 77 49 78 SP SD: 0.1242 c. M: 0.2132 c. 803: 48 80 77 52 80 48 80 50 79 79 50 80 SP SD: 0.1443 c. M: 0.2673 c. 834: 50 83 80 54 83 50 83 52 82 82 52 83 SP SD: 0.0734 c. M: 0.1472 c. 1799: 108 179 172 117 179 108 179 112 177 177 112 179 SP SD: 0.0729 c. M: 0.1609 c. 1818: 109 181 174 118 181 109 181 113 179 179 113 181 SP SD: 0.0629 c. M: 0.1243 c. 1849: 111 184 177 120 184 111 184 115 182 182 115 184 SP SD: 0.0641 c. M:-0.1297 c.
FIT/HARMONIC
1 x 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 x 4 S SD: 3.4219 cents 3 x x x x 4 x x x 5 x x 6 S SD: 2.1715 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 9.4203 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 9.3869 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 8.5212 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.9550 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 8.3478 cents 9 x 10 x 11:12 x 13:14:15:16:17:18 S SD: 8.1944 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 8.5319 cents 11 x 12:13:14:15 x 16:17:18:20:21:22 S SD: 10.1015 cents 12 x 13:14:15:16:17:18:19:20:21:22:24 S SD: 8.2293 cents 13:14:15 x 16:17:18:19:20:22:23:24:26 S SD: 9.9104 cents 14:15:16:17 x 19:20:21:22:23:25:26:28 SD: 8.2327 cents 15:16:17:18:19:20:21:22:23:25:27:28:30 SD: 5.9369 cents 16:17:18:19:20:21:22:24:25:27:29:30:32 SD: 5.2683 cents 20:21:22:24:25:27:28:30:31:33:36:37:40 SD: 3.9315 cents 24:25:27:29:30:32:33:36:37:40:43:45:48 SD: 3.5199 cents 25:26:28:30:31:33:35:37:39:42:45:47:50 SD: 3.2365 cents 27:28:30:32:34:36:38:40:42:45:48:50:54 SD: 3.0674 cents 32:33:36:38:40:43:45:48:50:53:57:60:64 SD: 2.9194 cents 36:38:40:43:45:48:50:54:56:60:64:67:72 SD: 2.4065 cents 41:43:46:49:51:55:57:61:64:68:73:77:82 SD: 2.0857 cents 43:45:48:51:54:58:60:64:67:72:77:80:86 SD: 2.0221 cents 45:47:50:54:56:60:63:67:70:75:80:84:90 SD: 1.7765 cents 48:50:54:57:60:64:67:72:75:80:86:90:96 SD: 1.7001 cents 51:53:57:61:64:68:71:76:80:85:91:95:102 SD: 1.4687 cents 61:64:68:73:76:82:85:91:95:102:109:114:122 SD: 1.3660 cents 66:69:74:79:82:88:92:99:103:110:118:123:132 SD: 1.3481 cents 68:71:76:81:85:91:95:102:106:114:122:127:136 SD: 1.0825 cents 77:80:86:92:96:103:107:115:120:129:138:144:154 SD: 0.9906 cents 89:93:99:106:111:119:124:133:139:149:159:166:178 SD: 0.8834 cents 93:97:104:111:116:124:130:139:145:155:166:174:186 SD: 0.8080 cents 109:114:122:130:136:146:152:163:170:182:195:203:218 SD: 0.7116 cents 112:117:125:134:140:150:156:167:175:187:200:209:224 SD: 0.6956 cents 113:118:126:135:141:151:158:169:176:189:202:211:226 SD: 0.6649 cents 119:124:133:142:149:159:166:178:186:199:213:222:238 SD: 0.6353 cents 136:142:152:162:170:182:190:203:212:227:243:254:272 SD: 0.5523 cents 145:151:162:173:181:194:202:217:226:242:259:271:290 SD: 0.4207 cents 170:177:190:203:212:227:237:254:265:284:304:317:340 SD: 0.4129 cents 190:198:212:227:237:254:265:284:296:317:340:355:380 SD: 0.4033 cents 213:222:238:254:266:285:297:318:332:356:381:398:426 SD: 0.3056 cents 257:268:287:307:321:344:358:384:401:429:459:480:514 SD: 0.2936 cents 263:274:294:314:328:352:367:393:410:439:470:491:526 SD: 0.2912 cents 279:291:312:333:348:373:389:417:435:466:499:521:558 SD: 0.2776 cents 282:294:315:337:352:377:393:421:440:471:504:526:564 SD: 0.2694 cents 284:296:317:339:355:380:396:424:443:474:508:530:568 SD: 0.2604 cents 306:319:342:365:382:409:427:457:477:511:547:571:612 SD: 0.2380 cents 325:339:363:388:406:435:453:486:507:543:581:607:650 SD: 0.2370 cents 330:344:369:394:412:441:460:493:515:551:590:616:660 SD: 0.2343 cents 334:348:373:399:417:447:466:499:521:558:597:623:668 SD: 0.2226 cents 350:365:391:418:437:468:488:523:546:584:626:653:700 SD: 0.1944 cents 382:398:427:456:477:511:533:571:596:638:683:713:764 SD: 0.1874 cents 403:420:450:481:503:539:562:602:629:673:720:752:806 SD: 0.1523 cents 471:491:526:562:588:630:657:704:735:787:842:879:942 SD: 0.1365 cents 495:516:553:591:618:662:690:740:772:827:885:924:990 SD: 0.1354 cents 522:544:583:623:652:698:728:780:814:872:933:974:1044 SD: 0.1341 cents 548:571:612:654:684:733:764:819:855:915:980:1023:1096 SD: 0.1101 cents 563:587:629:672:703:753:785:841:878:940:1007:1051:1126 SD: 0.1059 cents