Scala analysis: xen18-schulter-707-10
Ab-B portion in 17-WT
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 214.441 cents 214.441000 2: 278.339 cents 278.339000 3: 428.882 cents 428.882000 4: 492.780 cents 492.780000 5: 707.220 cents 707.220000 6: 771.118 cents 771.118000 7: 921.661 cents 921.661000 8: 985.559 cents 985.559000 9: 1136.102 cents 1136.102000 10: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 63.8980 cents 63.8980 1: 214.4410 cents 214.4410 2: 63.8980 cents 63.8980 3: 150.5430 cents 150.5430 4: 63.8980 cents 63.8980 5: 214.4400 cents 214.4400 6: 63.8980 cents 63.8980 7: 150.5430 cents 150.5430 8: 63.8980 cents 63.8980 9: 150.5430 cents 150.5430 10: 63.8980 cents 63.8980
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 63.89800 cents 1: 3 150.54300 cents 1: 1 214.44000 cents 1: 1 214.44100 cents 2: 6 214.44100 cents 2: 2 278.33800 cents 2: 2 278.33900 cents 3: 3 278.33900 cents 3: 1 342.23600 cents 3: 1 342.23700 cents 3: 1 364.98400 cents 3: 2 428.88100 cents 3: 2 428.88200 cents 4: 2 428.88200 cents 4: 4 492.77900 cents 4: 4 492.78000 cents 5: 1 492.78000 cents 5: 2 556.67700 cents 5: 2 556.67800 cents 5: 2 643.32200 cents 5: 2 643.32300 cents 5: 1 707.22000 cents 6: 4 707.22000 cents 6: 4 707.22100 cents 6: 2 771.11800 cents 7: 2 771.11800 cents 7: 2 771.11900 cents 7: 1 835.01600 cents 7: 1 857.76300 cents 7: 1 857.76400 cents 7: 3 921.66100 cents 8: 2 921.66100 cents 8: 2 921.66200 cents 8: 6 985.55900 cents 9: 1 985.55900 cents 9: 1 985.56000 cents 9: 3 1049.45700 cents 9: 5 1136.10200 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 4.22222 = 38/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 214.4 278.3 428.9 492.8 707.2 771.1 921.7 985.6 1136.1 1200.0 214.4 : 63.9 214.4 278.3 492.8 556.7 707.2 771.1 921.7 985.6 1200.0 278.3 : 150.5 214.4 428.9 492.8 643.3 707.2 857.8 921.7 1136.1 1200.0 428.9 : 63.9 278.3 342.2 492.8 556.7 707.2 771.1 985.6 1049.5 1200.0 492.8 : 214.4 278.3 428.9 492.8 643.3 707.2 921.7 985.6 1136.1 1200.0 707.2 : 63.9 214.4 278.3 428.9 492.8 707.2 771.1 921.7 985.6 1200.0 771.1 : 150.5 214.4 365.0 428.9 643.3 707.2 857.8 921.7 1136.1 1200.0 921.7 : 63.9 214.4 278.3 492.8 556.7 707.2 771.1 985.6 1049.5 1200.0 985.6 : 150.5 214.4 428.9 492.8 643.3 707.2 921.7 985.6 1136.1 1200.0 1136.1: 63.9 278.3 342.2 492.8 556.7 771.1 835.0 985.6 1049.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.8980 .. 214.4410 cents 150.54300 cents 63.89800 cents 2: 214.4410 .. 278.3390 cents 63.89800 cents 1/1, 0.0000 cents 3: 278.3390 .. 428.8820 cents 150.54300 cents 1/1, 0.0000 cents 4: 428.8820 .. 492.7800 cents 63.89800 cents 1/1, 0.0000 cents 5: 492.7800 .. 707.2200 cents 214.44000 cents 1/1, 0.0000 cents 6: 707.2200 .. 771.1180 cents 63.89800 cents 1/1, 0.0000 cents 7: 771.1180 .. 921.6610 cents 150.54300 cents 1/1, 0.0000 cents 8: 921.6610 .. 985.5590 cents 63.89800 cents 1/1, 0.0000 cents 9: 985.5590 .. 1136.1020 cents 150.54300 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 63.89800 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 214.44100 cents Average / Smallest step : 1.877993 Largest / Average step : 1.787008 Largest / Smallest step : 3.355989 Median interval of one step : 107.22050 cents, amount: 0 Most common interval of one step : 63.89800 cents, amount: 5 Least squares average step : 126.63042 cents, oct.: 1266.30416 cents Scale is proper Scale is a mode of a 1108-tone equal temperament with octave 1200.000 cents degrees: 198 257 396 455 653 712 851 910 1049 1108 Least number of segments generator : 555 of 601.083 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 653 of 707.220 cents and inv. generated superset size: 10 = 0 more = 100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBDBCBCB Step pattern size order : DABACABABA Scale is not a Constant Structure Scale diversity : 1.251400 Rothenberg stability : 0.533333 = 8/15 Lumma stability : 0.106497 Rothenberg efficiency : 0.427778 redundancy: 0.572222 Efficiency x scale size : 4.277778 Number of different interval sizes : 30 = 3.33333 / class Number of one step interval sizes : 4 Highest interval variety : 6 Mean interval variety : 4.22222 = 38/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.00100 cents Most common intervals : 214.44100 cents & inv., amount: 7 Most common triad is 0.0 214.441 985.559 cents, amount: 4 Number of recognisable fifths : 9, average 707.2204 cents Formal octave complements present : 9 = 90.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 2 0 2 0 2 0 2 0 1 1 N T3 SD: 35.9812 c. M: 56.1020 c. 11: 2 0 2 0 2 1 1 1 1 1 N D3 SD: 37.6207 c. M: 60.1572 c. 12: 2 1 1 1 2 1 1 1 1 1 P D3 SD: 21.0510 c. M: 36.1020 c. Major/Minor mixed, Supermode 16: 3 1 2 1 2 1 2 1 2 1 P D3 SD: 20.6224 c. M: 32.2200 c. 17: 3 1 2 1 3 1 2 1 2 1 P SD: 3.9011 c. M: 6.6902 c. 39: 7 2 5 2 7 2 5 2 5 2 P G SD: 1.3758 c. M:-2.3595 c. 56: 10 3 7 3 10 3 7 3 7 3 P G SD: 0.2261 c. M: 0.3877 c. 151: 27 8 19 8 27 8 19 8 19 8 P G SD: 0.1876 c. M:-0.3218 c. 207: 37 11 26 11 37 11 26 11 26 11 P G SD: 0.0757 c. M:-0.1299 c. 263: 47 14 33 14 47 14 33 14 33 14 P G SD: 0.0114 c. M:-0.0197 c. 582: 104 31 73 31 104 31 73 31 73 31 P G SD: 0.0115 c. M: 0.0195 c. 845: 151 45 106 45 151 45 106 45 106 45 P G SD: 0.0043 c. M: 0.0073 c. 1108: 198 59 139 59 198 59 139 59 139 59 P G SD: 0.0007 c. M: 0.0011 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x x 4 S SD: 2.6325 cents 3 x x x 4 x x 5 x x 6 S SD: 12.5573 cents 4 x x 5 x 6 x x 7 x 8 S SD: 11.5103 cents 5 x 6 x 7 x 8 x 9 x 10 S SD: 22.1646 cents 6 x 7 x 8:9 x 10:11 x 12 S SD: 12.5270 cents 7:8 x 9 x x 11:12 x x 14 SD: 4.8139 cents 8:9 x 10:11:12 x x 14:15:16 S SD: 12.7338 cents 9:10:11 x 12 x 14:15:16:17:18 S SD: 11.5883 cents 10:11:12:13 x 15:16:17:18:19:20 SD: 9.9210 cents 11:12:13:14:15 x 17:19 x 21:22 SD: 10.7920 cents 12 x 14:15:16:18:19:20:21:23:24 SD: 7.3396 cents 13 x 15 x 17 x 20:22:23:25:26 SD: 7.1725 cents 14:16 x 18:19:21:22:24:25:27:28 SD: 5.2471 cents 15:17:18:19:20 x 23:26:27:29:30 SD: 7.6720 cents 16:18:19 x 21:24:25:27:28:31:32 SD: 4.4470 cents 19 x 22:24:25:29:30:32:34:37:38 SD: 6.7358 cents 20:23 x 26:27:30:31:34:35:39:40 SD: 6.0746 cents 21:24:25:27:28:32:33:36:37:40:42 SD: 4.5735 cents 22:25:26:28:29:33:34:37:39:42:44 SD: 4.0190 cents 24:27:28:31:32:36:37:41:42:46:48 SD: 3.7108 cents 28:32:33:36:37:42:44:48:49:54:56 SD: 3.2102 cents 30:34:35:38:40:45:47:51:53:58:60 SD: 2.5523 cents 36:41:42:46:48:54:56:61:64:69:72 SD: 2.5350 cents 39:44:46:50:52:59:61:66:69:75:78 SD: 1.8860 cents 46:52:54:59:61:69:72:78:81:89:92 SD: 1.4454 cents 61:69:72:78:81:92:95:104:108:118:122 SD: 1.3400 cents 67:76:79:86:89:101:105:114:118:129:134 SD: 1.2968 cents 68:77:80:87:90:102:106:116:120:131:136 SD: 1.0975 cents 82:93:96:105:109:123:128:140:145:158:164 SD: 0.9582 cents 85:96:100:109:113:128:133:145:150:164:170 SD: 0.7785 cents 107:121:126:137:142:161:167:182:189:206:214 SD: 0.6494 cents 121:137:142:155:161:182:189:206:214:233:242 SD: 0.3403 cents 206:233:242:264:274:310:322:351:364:397:412 SD: 0.3005 cents 228:258:268:292:303:343:356:388:403:439:456 SD: 0.2900 cents 274:310:322:351:364:412:428:467:484:528:548 SD: 0.2768 cents 280:317:329:359:372:421:437:477:495:540:560 SD: 0.2683 cents 303:343:356:388:403:456:473:516:535:584:606 SD: 0.2015 cents 349:395:410:447:464:525:545:594:617:673:698 SD: 0.1803 cents 373:422:438:478:496:561:582:635:659:719:746 SD: 0.1697 cents 424:480:498:543:564:638:662:722:749:817:848 SD: 0.1595 cents 492:557:578:630:654:740:768:838:869:948:984 SD: 0.1594 cents 494:559:580:633:657:743:771:841:873:952:988 SD: 0.1537 cents 515:583:605:660:685:775:804:877:910:993:1030 SD: 0.1488 cents 522:591:613:669:694:785:815:889:922:1006:1044 SD: 0.1455 cents 562:636:660:720:747:846:877:957:993:1083:1124 SD: 0.1267 cents 583:660:685:747:775:877:910:993:1030:1124:1166 SD: 0.1134 cents