Scala analysis: jubilee10asym3
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 102.920 cents 102.920000 2: 205.840 cents 205.840000 3: 277.700 cents 277.700000 4: 380.620 cents 380.620000 5: 483.540 cents 483.540000 6: 702.580 cents 702.580000 7: 805.500 cents 805.500000 8: 877.360 cents 877.360000 9: 980.280 cents 980.280000 10: 1199.320 cents 1199.320000
SHOW/INTERVAL
0: 219.0400 cents 219.0400 1: 102.9200 cents 102.9200 2: 102.9200 cents 102.9200 3: 71.8600 cents 71.8600 4: 102.9200 cents 102.9200 5: 102.9200 cents 102.9200 6: 219.0400 cents 219.0400 7: 102.9200 cents 102.9200 8: 71.8600 cents 71.8600 9: 102.9200 cents 102.9200 10: 219.0400 cents 219.0400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 71.86000 cents 1: 6 102.92000 cents 1: 2 219.04000 cents 2: 4 174.78000 cents 2: 2 205.84000 cents 2: 4 321.96000 cents 3: 4 277.70000 cents 3: 2 393.82000 cents 3: 4 424.88000 cents 4: 2 380.62000 cents 4: 6 496.74000 cents 4: 2 527.80000 cents 5: 1 483.54000 cents 5: 8 599.66000 cents 5: 1 715.78000 cents 6: 2 671.52000 cents 6: 6 702.58000 cents 6: 2 818.70000 cents 7: 4 774.44000 cents 7: 2 805.50000 cents 7: 4 921.62000 cents 8: 4 877.36000 cents 8: 2 993.48000 cents 8: 4 1024.54000 cents 9: 2 980.28000 cents 9: 6 1096.40000 cents 9: 2 1127.46000 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 0.0 : 102.9 205.8 277.7 380.6 483.5 702.6 805.5 877.4 980.3 1199.3 102.9 : 102.9 174.8 277.7 380.6 599.7 702.6 774.4 877.4 1096.4 1199.3 205.8 : 71.9 174.8 277.7 496.7 599.7 671.5 774.4 993.5 1096.4 1199.3 277.7 : 102.9 205.8 424.9 527.8 599.7 702.6 921.6 1024.5 1127.5 1199.3 380.6 : 102.9 322.0 424.9 496.7 599.7 818.7 921.6 1024.5 1096.4 1199.3 483.5 : 219.0 322.0 393.8 496.7 715.8 818.7 921.6 993.5 1096.4 1199.3 702.6 : 102.9 174.8 277.7 496.7 599.7 702.6 774.4 877.4 980.3 1199.3 805.5 : 71.9 174.8 393.8 496.7 599.7 671.5 774.4 877.4 1096.4 1199.3 877.4 : 102.9 322.0 424.9 527.8 599.7 702.6 805.5 1024.5 1127.5 1199.3 980.3 : 219.0 322.0 424.9 496.7 599.7 702.6 921.6 1024.5 1096.4 1199.3 1199.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.8600 .. 219.0400 cents 147.18000 cents 71.86000 cents 2: 174.7800 .. 321.9600 cents 147.18000 cents -44.26000 cents 3: 277.7000 .. 424.8800 cents 147.18000 cents -44.26000 cents 4: 380.6200 .. 527.8000 cents 147.18000 cents -44.26000 cents 5: 483.5400 .. 715.7800 cents 232.24000 cents -44.26000 cents 6: 671.5200 .. 818.7000 cents 147.18000 cents -44.26000 cents 7: 774.4400 .. 921.6200 cents 147.18000 cents -44.26000 cents 8: 877.3600 .. 1024.5400 cents 147.18000 cents -44.26000 cents 9: 980.2800 .. 1127.4600 cents 147.18000 cents -44.26000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 71.86000 cents, class 1 Average step (divided formal octave): 119.9320 cents Largest one step interval : 219.04000 cents Average / Smallest step : 1.668967 Largest / Average step : 1.826368 Largest / Smallest step : 3.048149 Median interval of one step : 102.92000 cents, amount: 6 Most common interval of one step : 102.92000 cents, amount: 6 Least squares average step : 111.62717 cents, oct.: 1116.27169 cents Scale is not proper Scale has trivalence property Step pattern alph. order: AABAACABAC Step pattern size order : MMSMMLMSML Scale is a Constant Structure, by a margin of 13.20000 cents Scale diversity : 1.350247 Lumma stability : 0.119835 Lumma impropriety factor : 0.295234 Rothenberg efficiency : 0.478413 redundancy: 0.521587 Efficiency x scale size : 4.784127 Number of different interval sizes : 27 = 3.00000 / 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 : 13.20000 cents Most common intervals : 599.66000 cents & inv., amount: 8 Number of recognisable fifths : 7, average 704.4657 cents Number of appreciable fifths : 6, average 702.5800 cents Number of recognisable fourths : 7, average 494.8543 cents Number of appreciable fourths : 6, average 496.7400 cents Formal octave complements present : 1 = 10.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 1 1 0 1 1 2 1 0 1 2 N T3 SD: 25.7663 c. M: 37.8360 c. 12: 1 1 1 1 1 2 1 1 1 2 P D3 SD: 14.3648 c. M:-22.1300 c. 22: 2 2 1 2 2 4 2 1 2 4 N T3 SD: 6.9137 c. M:-12.2182 c. 34: 3 3 2 3 3 6 3 2 3 6 N T3 SD: 5.8312 c. M:-10.2976 c. 48: 4 4 3 4 4 9 4 3 4 9 N T3 SD: 5.0055 c. M: 8.8092 c. 57: 5 5 3 5 5 10 5 4 5 10 N SD: 5.1509 c. M:-8.6330 c. 60: 5 5 4 5 5 11 5 4 5 11 N T3 SD: 3.3720 c. M: 5.9533 c. 70: 6 6 4 6 6 13 6 4 6 13 N T3 SD: 2.5963 c. M: 3.8120 c. 82: 7 7 5 7 7 15 7 5 7 15 N T3 SD: 0.6330 c. M: 1.0780 c. 186: 16 16 11 16 16 34 16 11 16 34 N T3 SD: 0.3272 c. M:-0.4946 c. 268: 23 23 16 23 23 49 23 16 23 49 N T3 SD: 0.1699 c. M: 0.2454 c. 548: 47 47 33 47 47 100 47 33 47 100 N T3 SD: 0.1547 c. M:-0.2446 c. 618: 53 53 37 53 53 113 53 37 53 113 N T3 SD: 0.1853 c. M: 0.3188 c. 630: 54 54 38 54 54 115 54 38 54 115 N T3 SD: 0.1694 c. M: 0.2423 c. 652: 56 56 39 56 56 119 56 39 56 119 N T3 SD: 0.1354 c. M:-0.2348 c. 734: 63 63 44 63 63 134 63 44 63 134 N T3 SD: 0.0650 c. M:-0.1095 c. 816: 70 70 49 70 70 149 70 49 70 149 N T3 SD: 0.0568 c. M:-0.0837 c. 1002: 86 86 60 86 86 183 86 60 86 183 N T3 SD: 0.0177 c. M:-0.0313 c. 1818: 156 156 109 156 156 332 156 109 156 332 N T3 SD: 0.0192 c. M:-0.0303 c. 2086: 179 179 125 179 179 381 179 125 179 381 N T3 SD: 0.0099 c. M: 0.0174 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.6800 cents 2 x x x x x 3 x x x 4 S SD: 0.4618 cents 3 x x x x 4 x x 5 x 6 S SD: 5.3732 cents 4 x x x 5 x 6 x x 7:8 S SD: 3.2061 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 22.5344 cents 6 x x 7 x 8:9 x 10:11:12 S SD: 11.9605 cents 7 x 8 x x 9 x 11 x 12:14 SD: 15.1563 cents 8 x 9 x 10:11:12:13 x 14:16 S SD: 11.0555 cents 9 x 10 x 11:12 x 14:15:16:18 S SD: 8.8169 cents 10 x 11:12 x 13:15:16:17:18:20 SD: 10.5562 cents 11:12 x 13:14:15:17 x 18:19:22 SD: 13.1133 cents 12:13 x 14:15:16:18:19:20:21:24 S SD: 4.8573 cents 13:14 x 15:16:17:20:21:22:23:26 SD: 8.6119 cents 14:15:16 x 17:19:21:22:23:25:28 SD: 8.8449 cents 15:16:17:18:19:20:23:24:25:26:30 SD: 7.0476 cents 16:17:18:19:20:21:24:25:27:28:32 SD: 5.1194 cents 20:21 x 23:25:26:30:32:33:35:40 SD: 5.8978 cents 21:22:24:25:26:28:32:33:35:37:42 SD: 5.7819 cents 22:23:25:26:27:29:33:35:37:39:44 SD: 4.8882 cents 24:25:27:28:30:32:36:38:40:42:48 SD: 4.1032 cents 29:31:33:34:36:38:44:46:48:51:58 SD: 3.4811 cents 30:32:34:35:37:40:45:48:50:53:60 SD: 3.1180 cents 32:34:36:38:40:42:48:51:53:56:64 SD: 2.7286 cents 34:36:38:40:42:45:51:54:56:60:68 SD: 2.5308 cents 46:49:52:54:57:61:69:73:76:81:92 SD: 1.7337 cents 56:59:63:66:70:74:84:89:93:99:112 SD: 1.7078 cents 62:66:70:73:77:82:93:99:103:109:124 SD: 1.1818 cents 80:85:90:94:100:106:120:127:133:141:160 SD: 0.9676 cents 96:102:108:113:120:127:144:153:159:169:192 SD: 0.9002 cents 102:108:115:120:127:135:153:162:169:180:204 SD: 0.8841 cents 110:117:124:129:137:145:165:175:183:194:220 SD: 0.8466 cents 114:121:128:134:142:151:171:182:189:201:228 SD: 0.8330 cents 118:125:133:139:147:156:177:188:196:208:236 SD: 0.7074 cents 126:134:142:148:157:167:189:201:209:222:252 SD: 0.6672 cents 127:135:143:149:158:168:191:202:211:224:254 SD: 0.6584 cents 142:151:160:167:177:188:213:226:236:250:284 SD: 0.5925 cents 150:159:169:176:187:198:225:239:249:264:300 SD: 0.4397 cents 196:208:221:230:244:259:294:312:325:345:392 SD: 0.3768 cents 214:227:241:251:267:283:321:341:355:377:428 SD: 0.3560 cents 230:244:259:270:287:304:345:366:382:405:460 SD: 0.3452 cents 248:263:279:291:309:328:372:395:412:437:496 SD: 0.3078 cents 260:276:293:305:324:344:390:414:432:458:520 SD: 0.2854 cents 276:293:311:324:344:365:414:440:458:486:552 SD: 0.2631 cents 277:294:312:325:345:366:416:441:460:488:554 SD: 0.2490 cents 294:312:331:345:366:389:441:468:488:518:588 SD: 0.2395 cents 326:346:367:383:406:431:489:519:541:574:652 SD: 0.2172 cents 373:396:420:438:465:493:560:594:619:657:746 SD: 0.1957 cents 444:471:500:521:553:587:666:707:737:782:888 SD: 0.1606 cents 459:487:517:539:572:607:689:731:762:809:918 SD: 0.1541 cents 540:573:608:634:673:714:810:860:896:951:1080 SD: 0.1505 cents 553:587:623:649:689:731:830:881:918:974:1106 SD: 0.1481 cents 586:622:660:688:730:775:879:933:973:1032:1172 SD: 0.1337 cents