Scala analysis: mixed-quarters
mixed quartertones
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 50.000 cents 50.000000 2: 200.000 cents 200.000000 3: 300.000 cents 300.000000 4: 350.000 cents 350.000000 5: 500.000 cents 500.000000 6: 550.000 cents 550.000000 7: 700.000 cents 700.000000 8: 800.000 cents 800.000000 9: 850.000 cents 850.000000 10: 950.000 cents 950.000000 11: 1100.000 cents 1100.000000 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 50.0000 cents 50.0000 2: 150.0000 cents 150.0000 3: 100.0000 cents 100.0000 4: 50.0000 cents 50.0000 5: 150.0000 cents 150.0000 6: 50.0000 cents 50.0000 7: 150.0000 cents 150.0000 8: 100.0000 cents 100.0000 9: 50.0000 cents 50.0000 10: 100.0000 cents 100.0000 11: 150.0000 cents 150.0000 12: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 50.00000 cents 1: 4 100.00000 cents 1: 4 150.00000 cents 2: 4 150.00000 cents 2: 4 200.00000 cents 2: 4 250.00000 cents 3: 2 250.00000 cents 3: 8 300.00000 cents 3: 2 350.00000 cents 4: 3 350.00000 cents 4: 6 400.00000 cents 4: 3 450.00000 cents 5: 3 450.00000 cents 5: 6 500.00000 cents 5: 3 550.00000 cents 6: 3 550.00000 cents 6: 6 600.00000 cents 6: 3 650.00000 cents 7: 3 650.00000 cents 7: 6 700.00000 cents 7: 3 750.00000 cents 8: 3 750.00000 cents 8: 6 800.00000 cents 8: 3 850.00000 cents 9: 2 850.00000 cents 9: 8 900.00000 cents 9: 2 950.00000 cents 10: 4 950.00000 cents 10: 4 1000.00000 cents 10: 4 1050.00000 cents 11: 4 1050.00000 cents 11: 4 1100.00000 cents 11: 4 1150.00000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 50.0 200.0 300.0 350.0 500.0 550.0 700.0 800.0 850.0 950.0 1100.0 1200.0 50.0 : 150.0 250.0 300.0 450.0 500.0 650.0 750.0 800.0 900.0 1050.0 1150.0 1200.0 200.0 : 100.0 150.0 300.0 350.0 500.0 600.0 650.0 750.0 900.0 1000.0 1050.0 1200.0 300.0 : 50.0 200.0 250.0 400.0 500.0 550.0 650.0 800.0 900.0 950.0 1100.0 1200.0 350.0 : 150.0 200.0 350.0 450.0 500.0 600.0 750.0 850.0 900.0 1050.0 1150.0 1200.0 500.0 : 50.0 200.0 300.0 350.0 450.0 600.0 700.0 750.0 900.0 1000.0 1050.0 1200.0 550.0 : 150.0 250.0 300.0 400.0 550.0 650.0 700.0 850.0 950.0 1000.0 1150.0 1200.0 700.0 : 100.0 150.0 250.0 400.0 500.0 550.0 700.0 800.0 850.0 1000.0 1050.0 1200.0 800.0 : 50.0 150.0 300.0 400.0 450.0 600.0 700.0 750.0 900.0 950.0 1100.0 1200.0 850.0 : 100.0 250.0 350.0 400.0 550.0 650.0 700.0 850.0 900.0 1050.0 1150.0 1200.0 950.0 : 150.0 250.0 300.0 450.0 550.0 600.0 750.0 800.0 950.0 1050.0 1100.0 1200.0 1100.0: 100.0 150.0 300.0 400.0 450.0 600.0 650.0 800.0 900.0 950.0 1050.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 50.0000 .. 150.0000 cents 100.00000 cents 50.00000 cents 2: 150.0000 .. 250.0000 cents 100.00000 cents 1/1, 0.0000 cents 3: 250.0000 .. 350.0000 cents 100.00000 cents 1/1, 0.0000 cents 4: 350.0000 .. 450.0000 cents 100.00000 cents 1/1, 0.0000 cents 5: 450.0000 .. 550.0000 cents 100.00000 cents 1/1, 0.0000 cents 6: 550.0000 .. 650.0000 cents 100.00000 cents 1/1, 0.0000 cents 7: 650.0000 .. 750.0000 cents 100.00000 cents 1/1, 0.0000 cents 8: 750.0000 .. 850.0000 cents 100.00000 cents 1/1, 0.0000 cents 9: 850.0000 .. 950.0000 cents 100.00000 cents 1/1, 0.0000 cents 10: 950.0000 .. 1050.0000 cents 100.00000 cents 1/1, 0.0000 cents 11: 1050.0000 .. 1150.0000 cents 100.00000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 50.00000 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 150.00000 cents Average / Smallest step : 2.000000 Largest / Average step : 1.500000 Largest / Smallest step : 3.000000 Median interval of one step : 100.00000 cents, amount: 4 Least squares average step : 97.69231 cents, oct.: 1172.30769 cents Scale is proper Scale has trivalence property Scale is a mode of a 24-tone equal temperament with octave 2/1 degrees: 1 4 6 7 10 11 14 16 17 19 22 24 Least number of segments generator : 13 of 650.000 cents and inv. number of contiguous generator circle segments: 2 Shortest superset generator : 19 of 950.000 cents and inv. generated superset size: 19 = 7 more = 158.333% Number of contiguous 1-step segments: 4 Step pattern alph. order: ABCABABCACBC Step pattern size order : SLMSLSLMSMLM Interval vector is [ 4 4 8 4 6 8 5 6 6 6 6 3 ] Scale is not a Constant Structure Scale diversity : 1.278943 Rothenberg stability : 0.530303 = 35/66 Lumma stability : 0.083333 Rothenberg efficiency : 0.423933 redundancy: 0.576067 Efficiency x scale size : 5.087193 Number of different interval sizes : 23 = 2.09091 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 50.00000 cents Number of recognisable fifths : 6, average 700.0000 cents Formal octave complements present : 5 = 41.6667% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 32.2749 c. M:-50.0000 c. Twelve-tone Chromatic (1/11-comma) 13: 1 1 1 1 1 1 2 1 0 1 2 1 N D3 SD: 25.8247 c. M:-42.3077 c. 14: 0 2 1 1 2 0 2 1 1 1 2 1 N D3 SD: 25.8364 c. M: 50.0000 c. 15: 1 2 1 1 1 1 2 1 1 1 2 1 P D3 SD: 25.3311 c. M:-50.0000 c. 17: 1 2 1 1 2 1 2 1 1 1 3 1 N D3 SD: 17.4209 c. M: 32.3529 c. 19: 1 2 2 1 2 1 2 2 0 2 2 2 N SD: 17.6695 c. M: 28.9474 c. 20: 1 2 2 1 2 1 3 1 1 2 2 2 N D3 SD: 14.4338 c. M:-20.0000 c. 24: 1 3 2 1 3 1 3 2 1 2 3 2 P T3 SD: 0.0000 c. M: 0.0000 c. Vaisvil's Mixed-Quarters
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: 0.9775 cents 3 x x x x 4 x x x 5 x x 6 S SD: 11.4714 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 10.2376 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 15.5670 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 11.6068 cents 7 x 8 x x 9:10 x 11 x 12:13:14 S SD: 15.0729 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 5.4791 cents 9 x 10 x 11:12 x 13:14:15:16:17:18 S SD: 10.4670 cents 10 x 11:12 x 13:14:15:16 x 17:19:20 SD: 8.5510 cents 11 x 12:13 x x 15:16:17:18:19:21:22 SD: 9.8798 cents 12 x 13:14:15:16 x 18:19:20:21:23:24 SD: 9.1894 cents 13 x 15 x 16:17:18:19 x 21:23:25:26 SD: 10.2492 cents 14:15:16 x 17 x 19:21:22:23:24:26:28 SD: 8.9027 cents 15:16:17:18 x 20:21:22:24:25:26:28:30 S SD: 8.3868 cents 16:17:18:19:20:21:22:24:25:26:28:30:32 S SD: 6.7446 cents 17:18:19:20:21:23 x 25:27:28:29:32:34 SD: 6.7424 cents 18:19:20:21:22:24:25:27 x 29:31:34:36 SD: 5.9924 cents 19:20:21 x 23:25:26:28:30:31:33:36:38 SD: 5.9244 cents 20:21:22:24 x 27 x 30:32:33:35:38:40 SD: 6.3231 cents 21:22:24:25:26:28:29:31:33:34:36:40:42 SD: 5.3519 cents 22:23:25:26:27:29:30:33:35:36:38:42:44 SD: 4.0648 cents 24:25:27 x 29:32:33:36:38:39:42:45:48 SD: 3.5840 cents 26:27:29:31:32:35:36:39:41:42:45:49:52 SD: 3.1084 cents 27:28:30:32:33:36:37:40:43:44:47:51:54 SD: 2.7284 cents 32:33:36:38:39:43:44:48:51:52:55:60:64 SD: 2.1327 cents 41:42:46:49:50:55:56:61:65:67:71:77:82 SD: 2.0342 cents 48:49:54:57:59:64:66:72:76:78:83:91:96 SD: 1.7782 cents 57:59:64:68:70:76:78:85:90:93:99:108:114 SD: 1.7525 cents 58:60:65:69:71:77:80:87:92:95:100:109:116 SD: 1.5587 cents 62:64:70:74:76:83:85:93:98:101:107:117:124 SD: 1.5031 cents 63:65:71:75:77:84:87:94:100:103:109:119:126 SD: 1.2133 cents 72:74:81:86:88:96:99:108:114:118:125:136:144 SD: 1.0855 cents 80:82:90:95:98:107:110:120:127:131:138:151:160 SD: 1.0026 cents 90:93:101:107:110:120:124:135:143:147:156:170:180 SD: 0.8031 cents 99:102:111:118:121:132:136:148:157:162:171:187:198 SD: 0.7116 cents 107:110:120:127:131:143:147:160:170:175:185:202:214 SD: 0.5518 cents 131:135:147:156:160:175:180:196:208:214:227:247:262 SD: 0.5275 cents 164:169:184:195:201:219:225:246:260:268:284:310:328 SD: 0.4624 cents 170:175:191:202:208:227:234:255:270:278:294:321:340 SD: 0.4202 cents 179:184:201:213:219:239:246:268:284:292:310:338:358 SD: 0.3635 cents 197:203:221:234:241:263:271:295:313:322:341:372:394 SD: 0.3578 cents 206:212:231:245:252:275:283:309:327:337:357:389:412 SD: 0.3395 cents 237:244:266:282:290:316:326:355:376:387:410:447:474 SD: 0.3245 cents 238:245:267:283:291:318:327:357:378:389:412:449:476 SD: 0.3083 cents 269:277:302:320:329:359:370:403:427:440:466:508:538 SD: 0.2928 cents 286:294:321:340:350:382:393:429:454:467:495:540:572 SD: 0.2883 cents 295:304:331:351:361:394:405:442:468:482:511:557:590 SD: 0.2747 cents 305:314:342:363:373:407:419:457:484:498:528:576:610 SD: 0.2668 cents 311:320:349:370:381:415:427:466:494:508:538:587:622 SD: 0.2348 cents 349:359:392:415:427:466:480:523:554:570:604:659:698 SD: 0.2291 cents 371:382:416:441:454:495:510:556:589:606:642:700:742 SD: 0.2275 cents 374:385:420:445:458:499:514:560:594:611:647:706:748 SD: 0.2117 cents 375:386:421:446:459:501:515:562:595:613:649:708:750 SD: 0.1803 cents 407:419:457:484:498:543:559:610:646:665:705:768:814 SD: 0.1693 cents 439:452:493:522:537:586:603:658:697:717:760:829:878 SD: 0.1656 cents 481:495:540:572:589:642:661:721:764:786:833:908:962 SD: 0.1452 cents 508:523:570:604:622:678:698:761:806:830:879:959:1016 SD: 0.1293 cents 514:529:577:611:629:686:706:770:816:840:890:970:1028 SD: 0.1132 cents 580:597:651:690:710:774:797:869:921:948:1004:1095:1160 SD: 0.1000 cents