Scala analysis: orwell12_rms
12 note Orwell scale, TOP-RMS tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 114.353 cents 114.353000 2: 157.210 cents 157.210000 3: 271.563 cents 271.563000 4: 385.916 cents 385.916000 5: 543.126 cents 543.126000 6: 657.479 cents 657.479000 7: 700.335 cents 700.335000 8: 814.689 cents 814.689000 9: 929.042 cents 929.042000 10: 971.898 cents 971.898000 11: 1086.251 cents 1086.251000 12: 1200.604 cents 1200.604000
SHOW/INTERVAL
0: 114.3530 cents 114.3530 1: 114.3530 cents 114.3530 2: 42.8570 cents 42.8570 3: 114.3530 cents 114.3530 4: 114.3530 cents 114.3530 5: 157.2100 cents 157.2100 6: 114.3530 cents 114.3530 7: 42.8560 cents 42.8560 8: 114.3540 cents 114.3540 9: 114.3530 cents 114.3530 10: 42.8560 cents 42.8560 11: 114.3530 cents 114.3530 12: 114.3530 cents 114.3530
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 42.85600 cents 1: 1 42.85700 cents 1: 7 114.35300 cents 1: 1 114.35400 cents 1: 1 157.21000 cents 2: 3 157.20900 cents 2: 3 157.21000 cents 2: 3 228.70600 cents 2: 1 228.70700 cents 2: 2 271.56300 cents 3: 2 271.56200 cents 3: 6 271.56300 cents 3: 1 314.41900 cents 3: 1 343.05900 cents 3: 2 385.91600 cents 4: 1 314.41900 cents 4: 2 385.91500 cents 4: 5 385.91600 cents 4: 1 428.77200 cents 4: 2 428.77300 cents 4: 1 500.26900 cents 5: 3 428.77200 cents 5: 1 500.26800 cents 5: 3 500.26900 cents 5: 1 543.12500 cents 5: 4 543.12600 cents 6: 4 543.12500 cents 6: 2 585.98200 cents 6: 2 614.62200 cents 6: 4 657.47900 cents 7: 4 657.47800 cents 7: 1 657.47900 cents 7: 3 700.33500 cents 7: 1 700.33600 cents 7: 3 771.83200 cents 8: 1 700.33500 cents 8: 2 771.83100 cents 8: 1 771.83200 cents 8: 5 814.68800 cents 8: 2 814.68900 cents 8: 1 886.18500 cents 9: 2 814.68800 cents 9: 1 857.54500 cents 9: 1 886.18500 cents 9: 6 929.04100 cents 9: 2 929.04200 cents 10: 2 929.04100 cents 10: 1 971.89700 cents 10: 3 971.89800 cents 10: 3 1043.39400 cents 10: 3 1043.39500 cents 11: 1 1043.39400 cents 11: 1 1086.25000 cents 11: 7 1086.25100 cents 11: 1 1157.74700 cents 11: 2 1157.74800 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.09091 = 56/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 114.4 157.2 271.6 385.9 543.1 657.5 700.3 814.7 929.0 971.9 1086.3 1200.6 114.4 : 42.9 157.2 271.6 428.8 543.1 586.0 700.3 814.7 857.5 971.9 1086.3 1200.6 157.2 : 114.4 228.7 385.9 500.3 543.1 657.5 771.8 814.7 929.0 1043.4 1157.7 1200.6 271.6 : 114.4 271.6 385.9 428.8 543.1 657.5 700.3 814.7 929.0 1043.4 1086.3 1200.6 385.9 : 157.2 271.6 314.4 428.8 543.1 586.0 700.3 814.7 929.0 971.9 1086.3 1200.6 543.1 : 114.4 157.2 271.6 385.9 428.8 543.1 657.5 771.8 814.7 929.0 1043.4 1200.6 657.5 : 42.9 157.2 271.6 314.4 428.8 543.1 657.5 700.3 814.7 929.0 1086.3 1200.6 700.3 : 114.4 228.7 271.6 385.9 500.3 614.6 657.5 771.8 886.2 1043.4 1157.7 1200.6 814.7 : 114.4 157.2 271.6 385.9 500.3 543.1 657.5 771.8 929.0 1043.4 1086.3 1200.6 929.0 : 42.9 157.2 271.6 385.9 428.8 543.1 657.5 814.7 929.0 971.9 1086.3 1200.6 971.9 : 114.4 228.7 343.1 385.9 500.3 614.6 771.8 886.2 929.0 1043.4 1157.7 1200.6 1086.3: 114.4 228.7 271.6 385.9 500.3 657.5 771.8 814.7 929.0 1043.4 1086.3 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 42.8560 .. 157.2100 cents 114.35400 cents 42.85600 cents 2: 157.2090 .. 271.5630 cents 114.35400 cents -0.00100 cents 3: 271.5620 .. 385.9160 cents 114.35400 cents -0.00100 cents 4: 314.4190 .. 500.2690 cents 185.85000 cents -71.49700 cents 5: 428.7720 .. 543.1260 cents 114.35400 cents -71.49700 cents 6: 543.1250 .. 657.4790 cents 114.35400 cents -0.00100 cents 7: 657.4780 .. 771.8320 cents 114.35400 cents -0.00100 cents 8: 700.3350 .. 886.1850 cents 185.85000 cents -71.49700 cents 9: 814.6880 .. 929.0420 cents 114.35400 cents -71.49700 cents 10: 929.0410 .. 1043.3950 cents 114.35400 cents -0.00100 cents 11: 1043.3940 .. 1157.7480 cents 114.35400 cents -0.00100 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 42.85600 cents, class 1 Average step (divided formal octave): 100.0503 cents Largest one step interval : 157.21000 cents Average / Smallest step : 2.334570 Largest / Average step : 1.571309 Largest / Smallest step : 3.668331 Median interval of one step : 114.35300 cents, amount: 7 Most common interval of one step : 114.35300 cents, amount: 7 Least squares average step : 100.46747 cents, oct.: 1205.60961 cents Scale is not proper Step pattern alph. order: ABAACADEADAA Step pattern size order : CBCCECADCACC Scale is not a Constant Structure Scale diversity : 1.262479 Lumma stability : 0.071391 Lumma impropriety factor : 0.238208 Rothenberg efficiency : 0.366270 redundancy: 0.633730 Efficiency x scale size : 4.395238 Number of different interval sizes : 42 = 3.81818 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.09091 = 56/11 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 0.00100 cents Most common intervals : 271.56300 cents & inv., amount: 8 Number of recognisable fifths : 5, average 700.3352 cents Number of recognisable fourths : 5, average 500.2688 cents Formal octave complements present : 3 = 25.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 2 0 1 1 1 1 1 N T3 SD: 27.0588 c. M:-42.8907 c. 13: 1 1 1 1 2 1 1 1 1 1 1 1 P M ME SD: 22.3399 c. M:-43.9977 c. 15: 1 1 1 2 2 1 1 1 2 0 2 1 N SD: 22.1141 c. M:-34.3127 c. 18: 2 0 2 2 2 2 0 2 2 0 2 2 N D3 SD: 19.3428 c. M: 38.0949 c. 19: 2 0 2 2 2 2 1 2 1 1 2 2 N SD: 22.9680 c. M: 44.3864 c. 21: 2 1 2 2 2 3 0 2 2 1 2 2 N SD: 15.4355 c. M: 28.5814 c. 22: 2 1 2 2 3 2 1 2 2 1 2 2 N SD: 5.2879 c. M:-10.4144 c. 31: 3 1 3 3 4 3 1 3 3 1 3 3 N SD: 1.8629 c. M: 3.6690 c. 53: 5 2 5 5 7 5 2 5 5 2 5 5 N SD: 1.1053 c. M:-2.1769 c. 84: 8 3 8 8 11 8 3 8 8 3 8 8 N SD: 0.0099 c. M:-0.0195 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.6040 cents 2 x x x x x x 3 x x x x 4 S SD: 0.8645 cents 3 x x x x 4 x x x 5 x x 6 S SD: 21.1588 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.8869 cents 5 x x 6 x 7 x x 8 x 9 x 10 S SD: 14.9451 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 12.2640 cents 7 x x 8:9 x 10 x 11:12 x 13:14 S SD: 11.8782 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 6.7688 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 11.0350 cents 10 x 11:12:13:14 x 15:16:17:18:19:20 S SD: 10.5083 cents 11 x 12:13:14:15:16 x 18:19 x 21:22 SD: 7.2881 cents 12 x 13:14:15:16 x 18:19 x 21:22:24 SD: 7.1500 cents 13:14 x 15:16:18:19 x 21:22:23:24:26 SD: 5.7575 cents 14:15 x 16:18:19:20:21:22:24:25:26:28 S SD: 8.2162 cents 15:16 x 18:19:21:22 x 24 x 26:28:30 SD: 7.4500 cents 16:17:18:19:20:22:23:24:26:27:28:30:32 S SD: 5.9419 cents 17:18:19:20:21:23:25 x 27:29:30:32:34 SD: 4.8954 cents 19:20:21:22:24:26:28 x 30:32:33:36:38 S SD: 5.5338 cents 20:21:22:23:25:27:29:30:32:34:35:37:40 SD: 4.6846 cents 21:22:23:25:26:29:31 x 34:36:37:39:42 SD: 5.4033 cents 22 x 24:26:27:30:32:33:35:38:39:41:44 SD: 4.3722 cents 23 x 25:27:29:31:34 x 37:39:40:43:46 SD: 4.4654 cents 24 x 26:28:30:33:35:36:38:41:42:45:48 SD: 2.6368 cents 25:27 x 29:31:34:37 x 40:43:44:47:50 SD: 3.8842 cents 26:28 x 30:32:36:38:39:42:44:46:49:52 SD: 4.8272 cents 27:29:30:32:34:37:39:40:43:46:47:51:54 SD: 4.3594 cents 28:30:31:33:35:38:41:42:45:48:49:52:56 SD: 2.7067 cents 30:32:33:35:37:41:44:45:48:51:53:56:60 SD: 2.5958 cents 32:34:35:37:40:44:47:48:51:55:56:60:64 SD: 2.3332 cents 40:43:44:47:50:55:58:60:64:68:70:75:80 SD: 2.0945 cents 41:44:45:48:51:56:60:61:66:70:72:77:82 SD: 1.7631 cents 48:51:53:56:60:66:70:72:77:82:84:90:96 SD: 1.7364 cents 52:56:57:61:65:71:76:78:83:89:91:97:104 SD: 1.5017 cents 60:64:66:70:75:82:88:90:96:103:105:112:120 SD: 1.2197 cents 72:77:79:84:90:99:105:108:115:123:126:135:144 SD: 1.0517 cents 76:81:83:89:95:104:111:114:122:130:133:142:152 SD: 0.8144 cents 104:111:114:122:130:142:152:156:166:178:182:195:208 SD: 0.7883 cents 116:124:127:136:145:159:170:174:186:198:203:217:232 SD: 0.7295 cents 117:125:128:137:146:160:171:175:187:200:205:219:234 SD: 0.4991 cents 158:169:173:185:197:216:231:237:253:270:277:296:316 SD: 0.4693 cents 160:171:175:187:200:219:234:240:256:274:280:300:320 SD: 0.4626 cents 176:188:193:206:220:241:257:264:282:301:309:330:352 SD: 0.4390 cents 188:201:206:220:235:257:275:282:301:322:330:352:376 SD: 0.3958 cents 190:203:208:222:237:260:278:285:304:325:333:356:380 SD: 0.3929 cents 201:215:220:235:251:275:294:301:322:344:352:376:402 SD: 0.3862 cents 219:234:240:256:274:300:320:328:351:375:384:410:438 SD: 0.3854 cents 220:235:241:257:275:301:322:330:352:376:386:412:440 SD: 0.3542 cents 223:238:244:261:279:305:326:334:357:381:391:418:446 SD: 0.3426 cents 231:247:253:270:289:316:338:346:370:395:405:433:462 SD: 0.3266 cents 252:269:276:295:315:345:368:378:403:431:442:472:504 SD: 0.3214 cents 253:270:277:296:316:346:370:379:405:433:444:474:506 SD: 0.2879 cents 283:302:310:331:354:387:414:424:453:484:496:530:566 SD: 0.2660 cents 293:313:321:343:366:401:428:439:469:501:514:549:586 SD: 0.2273 cents 325:347:356:380:406:445:475:487:520:556:570:609:650 SD: 0.2143 cents 336:359:368:393:420:460:491:504:538:575:589:629:672 SD: 0.2080 cents 353:377:387:413:441:483:516:529:565:604:619:661:706 SD: 0.2066 cents 377:403:413:441:471:516:551:565:604:645:661:706:754 SD: 0.1822 cents 401:428:439:469:501:549:586:601:642:686:703:751:802 SD: 0.1794 cents 441:471:483:516:551:604:645:661:706:754:773:826:882 SD: 0.1636 cents 453:484:496:530:566:620:662:679:725:775:794:848:906 SD: 0.1353 cents 559:597:612:654:699:765:817:838:895:956:980:1047:1118 SD: 0.1308 cents 589:629:645:689:736:806:861:883:943:1007:1033:1103:1178 SD: 0.1201 cents 600:641:657:702:750:821:877:899:961:1026:1052:1124:1200 SD: 0.1129 cents