Scala analysis: sf3
sf3
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: 348.387 cents 348.387097 3: 541.935 cents 541.935484 4: 696.774 cents 696.774194 5: 851.613 cents 851.612903 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: 193.5484 cents 193.5484 3: 193.5484 cents 193.5484 4: 154.8387 cents 154.8387 5: 154.8387 cents 154.8387 6: 154.8387 cents 154.8387 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: 2 309.67742 cents 2: 4 348.38710 cents 2: 1 387.09677 cents 3: 1 464.51613 cents 3: 3 503.22581 cents 3: 3 541.93548 cents 4: 3 658.06452 cents 4: 3 696.77419 cents 4: 1 735.48387 cents 5: 1 812.90323 cents 5: 4 851.61290 cents 5: 2 890.32258 cents 6: 3 1006.45161 cents 6: 4 1045.16129 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.66667 = 8/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 154.8 348.4 541.9 696.8 851.6 1006.5 1200.0 154.8 : 193.5 387.1 541.9 696.8 851.6 1045.2 1200.0 348.4 : 193.5 348.4 503.2 658.1 851.6 1006.5 1200.0 541.9 : 154.8 309.7 464.5 658.1 812.9 1006.5 1200.0 696.8 : 154.8 309.7 503.2 658.1 851.6 1045.2 1200.0 851.6 : 154.8 348.4 503.2 696.8 890.3 1045.2 1200.0 1006.5: 193.5 348.4 541.9 735.5 890.3 1045.2 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 .. 541.9355 cents 77.41936 cents 77.41935 cents 4: 658.0645 .. 735.4839 cents 77.41936 cents 116.12903 cents 5: 812.9032 .. 890.3226 cents 77.41936 cents 77.41935 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 : 171.15207 cents, oct.: 1198.06452 cents Scale is strictly proper Scale is 3-distributional even Scale is a mode of a 31-tone equal temperament with octave 1200.000 cents degrees: 4 9 14 18 22 26 31 Least number of segments generator : 17 of 658.065 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 22 of 851.613 cents and inv. generated superset size: 10 = 3 more = 142.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBAAAB Step pattern size order : SLLSSSL Interval vector is [ 0 0 0 4 3 0 0 2 4 1 0 1 3 3 0 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 77.41935 cents Scale diversity : 1.297166 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.677419 Rothenberg efficiency : 0.521088 redundancy: 0.478912 Efficiency x scale size : 3.647619 Number of different interval sizes : 16 = 2.66667 / class Number of one step interval sizes : 2 Highest interval variety : 3 Mean interval variety : 2.66667 = 8/3 Median interval variety : 2.5 Lowest interval variety : 2 Smallest interval difference : 38.70968 cents Number of recognisable fifths : 3, average 696.7742 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 42.8571% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 15.6411 c. M: 27.6498 c. Lebeng 17: 2 3 3 2 2 2 3 P D3 SD: 12.8809 c. M:-22.7704 c. 20: 3 3 3 3 2 3 3 SP M ME S SD: 15.2576 c. M:-25.1613 c. 24: 3 4 4 3 3 3 4 SP D3 SD: 4.5620 c. M:-8.0645 c. 31: 4 5 5 4 4 4 5 SP D3 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: 2.5904 cents 3 x x 4 x 5 x 6 S SD: 18.2533 cents 4 x 5 x 6 x 7:8 S SD: 13.4187 cents 5 x 6:7 x 8:9:10 S SD: 13.0865 cents 6 x 7:8:9:10:11:12 S SD: 17.8822 cents 7:8:9:10 x 11:13:14 SD: 27.9319 cents 8:9:10:11:12:13:14:16 S SD: 10.5944 cents 10:11:12:14:15:16:18:20 S SD: 9.4885 cents 13:14:16:18:19:21:23:26 SD: 8.6620 cents 14:15:17:19:21:23:25:28 SD: 5.8448 cents 19:21:23:26:28:31:34:38 SD: 5.1853 cents 22:24:27:30:33:36:39:44 SD: 2.6416 cents 32:35:39:44:48:52:57:64 SD: 2.5614 cents 41:45:50:56:61:67:73:82 SD: 2.0683 cents 44:48:54:60:66:72:79:88 SD: 1.7731 cents 54:59:66:74:81:88:97:108 SD: 1.6787 cents 62:68:76:85:93:101:111:124 SD: 1.6740 cents 63:69:77:86:94:103:113:126 SD: 1.1024 cents 76:83:93:104:114:124:136:152 SD: 1.0323 cents 85:93:104:116:127:139:152:170 SD: 0.5958 cents 117:128:143:160:175:191:209:234 SD: 0.5645 cents 161:176:197:220:241:263:288:322 SD: 0.4521 cents 193:211:236:264:289:316:345:386 SD: 0.4477 cents 202:221:247:276:302:330:361:404 SD: 0.4181 cents 212:232:259:290:317:347:379:424 SD: 0.3858 cents 247:270:302:338:369:404:442:494 SD: 0.3554 cents 255:279:312:349:381:417:456:510 SD: 0.3508 cents 256:280:313:350:383:419:458:512 SD: 0.2510 cents 288:315:352:394:431:471:515:576 SD: 0.2415 cents 345:377:422:472:516:564:617:690 SD: 0.2378 cents 351:384:429:480:525:574:628:702 SD: 0.2045 cents 373:408:456:510:558:610:667:746 SD: 0.1403 cents 525:574:642:718:785:859:939:1050 SD: 0.1349 cents 557:609:681:762:833:911:996:1114 SD: 0.1223 cents 587:642:718:803:878:960:1050:1174 SD: 0.1101 cents