Scala analysis: Golden_MOS_Just_7
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.361 cents 40.360540 2: 80.721 cents 80.721070 3: 349.849 cents 349.848990 4: 390.210 cents 390.209530 5: 659.337 cents 659.337450 6: 699.698 cents 699.697990 7: 7/4 968.825906 harmonic seventh
SHOW/INTERVAL
0: 269.1279 cents 269.1279 1: 40.3605 cents 40.3605 2: 40.3605 cents 40.3605 3: 269.1279 cents 269.1279 4: 40.3605 cents 40.3605 5: 269.1279 cents 269.1279 6: 40.3605 cents 40.3605 7: 269.1279 cents 269.1279
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 40.36054 cents 1: 3 269.12792 cents 2: 1 80.72107 cents 2: 6 309.48845 cents 3: 5 349.84899 cents 3: 2 578.61638 cents 4: 2 390.20953 cents 4: 5 618.97691 cents 5: 6 659.33745 cents 5: 1 888.10484 cents 6: 3 699.69799 cents 6: 4 928.46537 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 40.4 80.7 349.8 390.2 659.3 699.7 968.8 40.4 : 40.4 309.5 349.8 619.0 659.3 928.5 968.8 80.7 : 269.1 309.5 578.6 619.0 888.1 928.5 968.8 349.8: 40.4 309.5 349.8 619.0 659.3 699.7 968.8 390.2: 269.1 309.5 578.6 619.0 659.3 928.5 968.8 659.3: 40.4 309.5 349.8 390.2 659.3 699.7 968.8 699.7: 269.1 309.5 349.8 619.0 659.3 928.5 968.8 968.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.3605 .. 269.1279 cents 228.76738 cents 40.36054 cents 2: 80.7211 .. 309.4884 cents 228.76738 cents -188.40685 cents 3: 349.8490 .. 578.6164 cents 228.76739 cents 40.36054 cents 4: 390.2095 .. 618.9769 cents 228.76738 cents -188.40685 cents 5: 659.3374 .. 888.1048 cents 228.76739 cents 40.36054 cents 6: 699.6980 .. 928.4654 cents 228.76738 cents -188.40685 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 40.36053 cents, class 1 Average step (divided formal octave): 138.4037 cents Largest one step interval : 269.12792 cents Average / Smallest step : 3.429184 Largest / Average step : 1.944514 Largest / Smallest step : 6.668097 Median interval of one step : 40.36054 cents, amount: 4 Most common interval of one step : 40.36054 cents, amount: 4 Least squares average step : 122.06317 cents, oct.: 854.44222 cents Scale is not proper Scale has Myhill's property chromas: 228.76738 cents and 188.40684 cents, ratio: 1.214220 generators: 309.48845 cents and 5 of 659.33746 cents ET pair of linear temperament : 22&25 Scale is distributional even Step pattern alph. order: AABABAB Step pattern size order : SSLSLSL Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 40.36053 cents Scale diversity : 0.968556 Lumma stability : 0.166637 Lumma impropriety factor : 0.583408 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 40.36053 cents Most common intervals : 309.48845 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 309.488 618.977 cents Most common triad is 0.0 309.488 659.337 cents, amount: 5 Number of recognisable fifths : 3, average 699.6980 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 2 Inversional symmetry on degrees : 1 Inversional symmetry on intervals : 4-5 -- Rational properties -- Prime limit : 7 (not all pitches rational)
FIT/MODE
7: 0 1 2 0 2 0 2 N T3 SD: 39.6062 c. M:-65.3621 c. 8: 0 1 2 0 2 1 2 N T3 SD: 33.3509 c. M: 53.8213 c. 10: 0 1 3 0 3 0 3 N T3 SD: 24.3055 c. M: 40.3605 c. 11: 0 1 3 0 3 1 3 N T3 SD: 26.6808 c. M: 42.8119 c. 12: 0 1 3 1 3 1 3 N T3 SD: 22.1685 c. M: 40.3605 c. 13: 1 0 4 0 4 0 4 N T3 SD: 20.7111 c. M:-34.1645 c. 15: 0 1 4 1 4 1 4 N T3 SD: 20.4153 c. M: 40.3605 c. 18: 0 1 5 1 5 1 5 N T3 SD: 22.1623 c. M: 40.3605 c. 19: 1 1 5 1 5 1 5 N M DE S SD: 12.7760 c. M:-21.2606 c. 22: 1 1 6 1 6 1 6 N M DE S SD: 4.4192 c. M:-7.3540 c. 25: 1 1 7 1 7 1 7 N M DE S SD: 1.9320 c. M: 3.2150 c. 47: 2 2 13 2 13 2 13 N M DE S SD: 1.0409 c. M:-1.7322 c. 72: 3 3 20 3 20 3 20 N M DE S SD: 0.0087 c. M:-0.0144 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 231.1741 cents 2 x x x x x 3:4 S SD: 115.5926 cents 3 x x x 4 x x 5 S SD: 68.4894 cents 4 x x x 5 x 6:7 S SD: 1.5008 cents 5 x x 6 x 7:8:9 S SD: 37.4534 cents 6 x x 7:8 x 9:11 SD: 39.5325 cents 7 x x x 9:10 x 12 SD: 23.6629 cents 8 x 9 x 10 x 12:14 S SD: 30.8178 cents 9 x 10:11 x 13 x 16 SD: 26.9314 cents 10 x 11:12:13 x 15:18 SD: 24.2932 cents 11 x 12:13:14:16 x 19 SD: 19.9362 cents 12 x 13 x 15 x 18:21 SD: 14.5066 cents 13 x 14:16 x 19 x 23 SD: 13.0377 cents 14 x 15:17:18:20:21:25 SD: 13.6230 cents 15 x 16:18:19:22 x 26 SD: 10.5496 cents 16 x 17 x 20:23:24:28 SD: 7.9309 cents 17 x 18:21 x 25 x 30 SD: 7.3615 cents 18 x 19:22:23:26:27:32 SD: 8.5034 cents 19 x 20:23:24:28 x 33 SD: 6.1524 cents 20 x 21:24:25:29:30:35 SD: 6.3745 cents 21 x 22:26 x 31 x 37 SD: 6.8750 cents 22 x 23:27:28:32:33:39 SD: 6.2341 cents 23 x 24:28:29:34 x 40 SD: 5.2009 cents 24 x 25:29:30:35:36:42 SD: 4.2594 cents 25 x 26 x 31:37 x 44 SD: 7.7222 cents 26 x 27:32:33:38:39:46 SD: 5.7873 cents 27 x 28:33:34 x 40:47 SD: 5.8485 cents 28 x 29:34:35:41:42:49 SD: 4.1099 cents 29:30 x 35:36:42:43:51 SD: 7.2542 cents 30:31 x 37:38:44:45:53 SD: 5.5141 cents 31:32 x 38:39:45:46:54 SD: 4.7364 cents 32:33:34:39:40:47:48:56 SD: 4.2055 cents 35:36:37:43:44:51:52:61 SD: 3.7820 cents 36:37:38:44:45:53:54:63 SD: 2.6627 cents 40:41:42:49:50:59:60:70 SD: 2.1430 cents 44:45:46:54:55:64:66:77 SD: 1.8745 cents 76:78:80:93:95:111:114:133 SD: 1.5620 cents 80:82:84:98:100:117:120:140 SD: 0.9444 cents 84:86:88:103:105:123:126:147 SD: 0.7993 cents 125:128:131:153:157:183:187:219 SD: 0.7801 cents 165:169:173:202:207:241:247:289 SD: 0.7057 cents 166:170:174:203:208:243:249:291 SD: 0.6017 cents 169:173:177:207:212:247:253:296 SD: 0.5735 cents 205:210:215:251:257:300:307:359 SD: 0.4137 cents 209:214:219:256:262:306:313:366 SD: 0.3315 cents 289:296:303:354:362:423:433:506 SD: 0.3296 cents 293:300:307:359:367:429:439:513 SD: 0.3253 cents 335:343:351:410:420:490:502:586 SD: 0.2737 cents 336:344:352:411:421:492:503:588 SD: 0.2674 cents 339:347:355:415:425:496:508:593 SD: 0.2635 cents 375:384:393:459:470:549:562:656 SD: 0.2244 cents 380:389:398:465:476:556:569:665 SD: 0.1684 cents 464:475:486:568:581:679:695:812 SD: 0.1637 cents 585:599:613:716:733:856:876:1024 SD: 0.1585 cents 589:603:617:721:738:862:882:1031 SD: 0.1385 cents