Scala analysis: sf2
sf2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 154.839 cents 154.838710 2: 309.677 cents 309.677419 3: 464.516 cents 464.516129 4: 619.355 cents 619.354839 5: 812.903 cents 812.903226 6: 1006.452 cents 1006.451613 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 193.5484 cents 193.5484 1: 154.8387 cents 154.8387 2: 154.8387 cents 154.8387 3: 154.8387 cents 154.8387 4: 154.8387 cents 154.8387 5: 193.5484 cents 193.5484 6: 193.5484 cents 193.5484 7: 193.5484 cents 193.5484
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 154.83871 cents 1: 3 193.54839 cents 2: 3 309.67742 cents 2: 2 348.38710 cents 2: 2 387.09677 cents 3: 2 464.51613 cents 3: 2 503.22581 cents 3: 2 541.93548 cents 3: 1 580.64516 cents 4: 1 619.35484 cents 4: 2 658.06452 cents 4: 2 696.77419 cents 4: 2 735.48387 cents 5: 2 812.90323 cents 5: 2 851.61290 cents 5: 3 890.32258 cents 6: 3 1006.45161 cents 6: 4 1045.16129 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 154.8 309.7 464.5 619.4 812.9 1006.5 1200.0 154.8 : 154.8 309.7 464.5 658.1 851.6 1045.2 1200.0 309.7 : 154.8 309.7 503.2 696.8 890.3 1045.2 1200.0 464.5 : 154.8 348.4 541.9 735.5 890.3 1045.2 1200.0 619.4 : 193.5 387.1 580.6 735.5 890.3 1045.2 1200.0 812.9 : 193.5 387.1 541.9 696.8 851.6 1006.5 1200.0 1006.5: 193.5 348.4 503.2 658.1 812.9 1006.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 154.8387 .. 193.5484 cents 38.70968 cents 154.83871 cents 2: 309.6774 .. 387.0968 cents 77.41936 cents 116.12903 cents 3: 464.5161 .. 580.6452 cents 116.12903 cents 77.41936 cents 4: 619.3548 .. 735.4839 cents 116.12903 cents 38.70968 cents 5: 812.9032 .. 890.3226 cents 77.41936 cents 77.41936 cents 6: 1006.4516 .. 1045.1613 cents 38.70968 cents 116.12903 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 154.83871 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 193.54839 cents Average / Smallest step : 1.107143 Largest / Average step : 1.129032 Largest / Smallest step : 1.250000 Median interval of one step : 154.83871 cents, amount: 4 Most common interval of one step : 154.83871 cents, amount: 4 Least squares average step : 165.34562 cents, oct.: 1157.41935 cents Scale is strictly proper Scale is a mode of a 31-tone equal temperament with octave 1200.000 cents degrees: 4 8 12 16 21 26 31 Least number of segments generator : 16 of 619.355 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 22 of 851.613 cents and inv. generated superset size: 13 = 6 more = 185.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABBB Step pattern size order : SSSSLLL Interval vector is [ 0 0 0 4 3 0 0 3 2 2 0 2 2 2 1 ] Scale is a Constant Structure, by a margin of 38.70968 cents Scale diversity : 1.338857 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.612903 Rothenberg efficiency : 0.466667 redundancy: 0.533333 Efficiency x scale size : 3.266667 Number of different interval sizes : 18 = 3.00000 / class Number of one step interval sizes : 2 Highest interval variety : 4 Mean interval variety : 3.00000 = 3 Median interval variety : 2.5 Lowest interval variety : 2 Smallest interval difference : 38.70968 cents Most common intervals : 154.83871 cents & inv., amount: 4 Number of recognisable fifths : 2, average 696.7742 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are increasing Formal octave complements present : 1 = 14.2857% Limited inverse transpositions : 4 Inversional symmetry on degrees : 2 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 39.1027 c. M:-66.3594 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 30.6027 c. M: 62.9032 c. 10: 1 2 1 1 2 1 2 P M ME S SD: 32.1879 c. M:-50.3226 c. 12: 2 1 2 1 2 2 2 P D3 S SD: 23.8298 c. M:-45.1613 c. Minor Locrian, Half Diminished, Locrian sharp 2, Minor flat 5 13: 2 1 2 2 2 2 2 SP M ME S SD: 20.9950 c. M: 32.7543 c. Tamashian 15: 2 2 2 2 2 3 2 SP M ME S SD: 17.2840 c. M:-33.5484 c. 16: 2 2 2 2 3 2 3 P D3 S SD: 16.2037 c. M: 31.4516 c. 19: 2 3 2 3 3 3 3 SP D3 S SD: 15.0504 c. M: 28.5229 c. 21: 3 2 3 3 3 4 3 SP T3 SD: 15.3276 c. M: 23.9631 c. 23: 3 3 3 3 4 3 4 SP D3 S SD: 10.6444 c. M:-21.8794 c. 24: 3 3 3 3 4 4 4 P S SD: 11.4049 c. M: 19.3548 c. 25: 3 3 4 3 4 4 4 SP D3 SD: 11.0886 c. M: 21.6774 c. 31: 4 4 4 4 5 5 5 SP S SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 41.3001 cents 3 x x 4 x 5 x 6 S SD: 26.3103 cents 4 x 5 x 6 x 7:8 S SD: 29.6981 cents 5 x 6 x 7:8:9:10 S SD: 7.7917 cents 6 x 7:8:9:10:11:12 S SD: 21.5553 cents 7:8 x 9:10:11:13:14 SD: 18.1653 cents 8:9:10 x 11:13:14:16 SD: 20.4728 cents 9:10:11:12:13:14:16:18 S SD: 11.0802 cents 10:11:12:13:14:16:18:20 S SD: 5.9372 cents 19:21:23:25:27:30:34:38 SD: 5.5495 cents 20:22:24:26:29:32:36:40 SD: 4.3834 cents 30:33:36:39:43:48:54:60 SD: 2.8031 cents 32:35:38:42:46:51:57:64 SD: 2.6785 cents 42:46:50:55:60:67:75:84 SD: 1.4533 cents 62:68:74:81:89:99:111:124 SD: 1.3770 cents 65:71:78:85:93:104:116:130 SD: 1.0552 cents 97:106:116:127:139:155:173:194 SD: 0.9338 cents 98:107:117:128:140:157:175:196 SD: 0.9031 cents 107:117:128:140:153:171:191:214 SD: 0.5261 cents 137:150:164:179:196:219:245:274 SD: 0.4749 cents 179:196:214:234:256:286:320:358 SD: 0.4254 cents 195:213:233:255:279:312:349:390 SD: 0.4252 cents 204:223:244:267:292:326:365:408 SD: 0.3830 cents 214:234:256:280:306:342:383:428 SD: 0.2927 cents 270:295:323:353:386:432:483:540 SD: 0.2884 cents 302:330:361:395:432:483:540:604 SD: 0.2351 cents 312:341:373:408:446:499:558:624 SD: 0.1916 cents 332:363:397:434:475:531:594:664 SD: 0.1822 cents 374:409:447:489:535:598:669:748 SD: 0.1781 cents 439:480:525:574:628:702:785:878 SD: 0.1053 cents 449:491:537:587:642:718:803:898 SD: 0.0972 cents