Scala analysis: regular
7 note scale from some Dicot temperament.
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 194.377 cents 194.377000 2: 348.594 cents 348.594000 3: 542.971 cents 542.971000 4: 697.189 cents 697.189000 5: 891.566 cents 891.566000 6: 1045.783 cents 1045.783000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.2170 cents 154.2170 1: 194.3770 cents 194.3770 2: 154.2170 cents 154.2170 3: 194.3770 cents 194.3770 4: 154.2180 cents 154.2180 5: 194.3770 cents 194.3770 6: 154.2170 cents 154.2170 7: 154.2170 cents 154.2170
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 154.21700 cents 1: 1 154.21800 cents 1: 3 194.37700 cents 2: 1 308.43400 cents 2: 4 348.59400 cents 2: 2 348.59500 cents 3: 3 502.81100 cents 3: 2 502.81200 cents 3: 1 542.97100 cents 3: 1 542.97200 cents 4: 1 657.02800 cents 4: 1 657.02900 cents 4: 2 697.18800 cents 4: 3 697.18900 cents 5: 2 851.40500 cents 5: 4 851.40600 cents 5: 1 891.56600 cents 6: 3 1005.62300 cents 6: 1 1045.78200 cents 6: 3 1045.78300 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 194.4 348.6 543.0 697.2 891.6 1045.8 1200.0 194.4 : 154.2 348.6 502.8 697.2 851.4 1005.6 1200.0 348.6 : 194.4 348.6 543.0 697.2 851.4 1045.8 1200.0 543.0 : 154.2 348.6 502.8 657.0 851.4 1005.6 1200.0 697.2 : 194.4 348.6 502.8 697.2 851.4 1045.8 1200.0 891.6 : 154.2 308.4 502.8 657.0 851.4 1005.6 1200.0 1045.8: 154.2 348.6 502.8 697.2 851.4 1045.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 154.2170 .. 194.3770 cents 40.16000 cents 154.21700 cents 2: 308.4340 .. 348.5950 cents 40.16100 cents 114.05700 cents 3: 502.8110 .. 542.9720 cents 40.16100 cents 154.21600 cents 4: 657.0280 .. 697.1890 cents 40.16100 cents 114.05600 cents 5: 851.4050 .. 891.5660 cents 40.16100 cents 154.21600 cents 6: 1005.6230 .. 1045.7830 cents 40.16000 cents 114.05700 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 154.21700 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 194.37700 cents Average / Smallest step : 1.111606 Largest / Average step : 1.133866 Largest / Smallest step : 1.260412 Median interval of one step : 154.21800 cents, amount: 1 Least squares average step : 174.58401 cents, oct.: 1222.08810 cents Scale is strictly proper Scale is a mode of a 747-tone equal temperament with octave 1200.000 cents degrees: 121 217 338 434 555 651 747 Least number of segments generator : 374 of 600.803 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 530 of 851.406 cents and inv. generated superset size: 7 = 0 more = 100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACABB Step pattern size order : LSLMLSS Scale is a Constant Structure, by a margin of 114.05600 cents Scale diversity : 1.183886 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.799197 Rothenberg efficiency : 0.466667 redundancy: 0.533333 Efficiency x scale size : 3.266667 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 0.00100 cents Most common intervals : 348.59400 cents & inv., amount: 4 Most common triad is 0.0 348.594 851.406 cents, amount: 2 Number of recognisable fifths : 5, average 697.1886 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 : 1 = 14.2857% Limited inverse transpositions : 5 Inversional symmetry on degrees : 6 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 20.6856 c. M: 34.4231 c. Lebeng 15: 2 2 3 2 2 2 2 SP M ME S SD: 20.6222 c. M: 34.3770 c. 16: 3 2 2 2 3 2 2 SP M ME S SD: 19.0461 c. M:-30.6230 c. Antiphrygian 17: 3 2 3 2 3 2 2 SP M ME S SD: 15.6729 c. M:-26.0811 c. Neutral Hypolydian, Mohajira-7 20: 3 3 3 3 3 2 3 SP M ME S SD: 15.1274 c. M: 25.7830 c. 23: 4 3 3 3 4 3 3 SP M ME S SD: 13.7164 c. M: 21.2319 c. 24: 4 3 4 3 4 3 3 SP M ME S SD: 5.0684 c. M:-8.4340 c. Neutral Hypolydian, Mohajira-7, Iced Lydian 31: 5 4 5 4 5 4 4 SP M ME S SD: 0.7470 c. M: 1.2434 c. Neutral Hypolydian, Mohajira-7 117: 19 15 19 15 19 15 15 SP M DE S SD: 0.4459 c. M:-0.7417 c. 148: 24 19 24 19 24 19 19 SP M DE S SD: 0.1960 c. M:-0.3259 c. 179: 29 23 29 23 29 23 23 SP M DE S SD: 0.0327 c. M:-0.0541 c. 389: 63 50 63 50 63 50 50 SP M DE S SD: 0.0294 c. M: 0.0493 c. 568: 92 73 92 73 92 73 73 SP M DE S SD: 0.0099 c. M: 0.0167 c. 747: 121 96 121 96 121 96 96 SP M DE S SD: 0.0004 c. M:-0.0009 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: 2.3830 cents 3 x x 4 x 5 x 6 S SD: 15.1668 cents 4 x 5 x 6 x 7:8 S SD: 21.4591 cents 5 x 6:7 x 8:9:10 S SD: 19.5030 cents 6:7 x 8:9:10:11:12 S SD: 14.2996 cents 7:8:9:10 x 12:13:14 S SD: 21.5938 cents 8:9:10:11:12:13:15:16 SD: 11.0804 cents 10:11:12:14:15:17:18:20 SD: 10.1644 cents 14:16:17:19:21:23:26:28 SD: 8.3781 cents 16:18:20:22:24:27:29:32 SD: 6.5045 cents 18:20:22:25:27:30:33:36 SD: 4.2741 cents 24:27:29:33:36:40:44:48 SD: 3.7467 cents 27:30:33:37:40:45:49:54 SD: 3.7229 cents 32:36:39:44:48:54:59:64 SD: 3.5119 cents 35:39:43:48:52:59:64:70 SD: 2.9290 cents 36:40:44:49:54:60:66:72 SD: 2.5452 cents 40:45:49:55:60:67:73:80 SD: 2.0770 cents 49:55:60:67:73:82:90:98 SD: 1.6478 cents 58:65:71:79:87:97:106:116 SD: 1.4467 cents 59:66:72:81:88:99:108:118 SD: 1.3821 cents 67:75:82:92:100:112:123:134 SD: 1.3732 cents 68:76:83:93:102:114:124:136 SD: 1.2807 cents 76:85:93:104:114:127:139:152 SD: 0.7988 cents 111:124:136:152:166:186:203:222 SD: 0.6861 cents 117:131:143:160:175:196:214:234 SD: 0.3843 cents 193:216:236:264:289:323:353:386 SD: 0.2944 cents 242:271:296:331:362:405:443:484 SD: 0.2870 cents 252:282:308:345:377:422:461:504 SD: 0.2604 cents 260:291:318:356:389:435:476:520 SD: 0.2594 cents 304:340:372:416:455:509:556:608 SD: 0.2466 cents 328:367:401:449:491:549:600:656 SD: 0.2296 cents 337:377:412:461:504:564:617:674 SD: 0.2280 cents 345:386:422:472:516:577:631:690 SD: 0.1985 cents 353:395:432:483:528:591:646:706 SD: 0.1907 cents 377:422:461:516:564:631:690:754 SD: 0.1723 cents 462:517:565:632:691:773:845:924 SD: 0.1413 cents 480:537:587:657:718:803:878:960 SD: 0.1374 cents 573:641:701:784:857:959:1048:1146 SD: 0.1174 cents 597:668:730:817:893:999:1092:1194 SD: 0.0931 cents