Scala analysis: prop19_7e
3/19 MOS
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.474 cents 189.473684 2: 252.632 cents 252.631579 3: 442.105 cents 442.105263 4: 631.579 cents 631.578947 5: 821.053 cents 821.052632 6: 1010.526 cents 1010.526316 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 189.4737 cents 189.4737 1: 189.4737 cents 189.4737 2: 63.1579 cents 63.1579 3: 189.4737 cents 189.4737 4: 189.4737 cents 189.4737 5: 189.4737 cents 189.4737 6: 189.4737 cents 189.4737 7: 189.4737 cents 189.4737
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 63.15790 cents 1: 6 189.47368 cents 2: 2 252.63158 cents 2: 5 378.94737 cents 3: 3 442.10526 cents 3: 4 568.42105 cents 4: 4 631.57895 cents 4: 3 757.89474 cents 5: 5 821.05263 cents 5: 2 947.36842 cents 6: 6 1010.52632 cents 6: 1 1136.84210 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 : 189.5 252.6 442.1 631.6 821.1 1010.5 1200.0 189.5 : 63.2 252.6 442.1 631.6 821.1 1010.5 1200.0 252.6 : 189.5 378.9 568.4 757.9 947.4 1136.8 1200.0 442.1 : 189.5 378.9 568.4 757.9 947.4 1010.5 1200.0 631.6 : 189.5 378.9 568.4 757.9 821.1 1010.5 1200.0 821.1 : 189.5 378.9 568.4 631.6 821.1 1010.5 1200.0 1010.5: 189.5 378.9 442.1 631.6 821.1 1010.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.1579 .. 189.4737 cents 126.31579 cents 63.15790 cents 2: 252.6316 .. 378.9474 cents 126.31579 cents 63.15790 cents 3: 442.1053 .. 568.4211 cents 126.31579 cents 63.15790 cents 4: 631.5789 .. 757.8947 cents 126.31579 cents 63.15789 cents 5: 821.0526 .. 947.3684 cents 126.31579 cents 63.15790 cents 6: 1010.5263 .. 1136.8421 cents 126.31579 cents 63.15789 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 63.15790 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 189.47368 cents Average / Smallest step : 2.714286 Largest / Average step : 1.105263 Largest / Smallest step : 3.000000 Median interval of one step : 189.47368 cents, amount: 6 Most common interval of one step : 189.47368 cents, amount: 6 Least squares average step : 165.11278 cents, oct.: 1155.78947 cents Scale is strictly proper Scale has Myhill's property chromas: 126.31579 cents and 63.15789 cents, ratio: 2.000000 generators: 1 of 189.47368 cents and 6 of 1010.52632 cents ET pair of linear temperament : 13&19 Scale is distributional even Scale is a mode of a 19-tone equal temperament with octave 1200.000 cents degrees: 3 4 7 10 13 16 19 generators: 3 and 16 Number of contiguous 1-step segments: 1 Step pattern alph. order: ABAAAAA Step pattern size order : LSLLLLL Interval vector is [ 1 0 6 2 0 5 3 0 4 ] Scale is a Constant Structure, by a margin of 63.15789 cents Scale diversity : 1.261564 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.368421 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 : 63.15789 cents Most common intervals : 189.47368 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 442.105 1010.526 cents Most common triad is 0.0 189.474 1010.526 cents, amount: 5 Number of recognisable fifths : 0 Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 42.8571% Limited inverse transpositions : 3 Inversional symmetry on degrees : 5 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 51.0393 c. M:-90.2256 c. Lebeng 8: 1 1 1 1 1 2 1 P M ME S SD: 40.4760 c. M: 71.0526 c. 10: 2 0 2 1 2 1 2 N T3 SD: 33.9277 c. M:-50.5263 c. 11: 2 0 2 2 2 1 2 N T3 SD: 29.4371 c. M:-51.6746 c. 12: 2 0 2 2 2 2 2 P M DE S SD: 29.7729 c. M: 52.6316 c. 13: 2 1 2 2 2 2 2 SP M ME S SD: 13.7413 c. M:-24.2915 c. Tamashian 19: 3 1 3 3 3 3 3 SP M DE 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: 35.1880 cents 3 x x 4 x 5 x 6 S SD: 28.1601 cents 4 x x 5:6 x 7:8 S SD: 24.7543 cents 5 x 6 x 7:8:9:10 S SD: 16.1022 cents 6 x 7:8:9:10:11:12 S SD: 19.5794 cents 7 x 8:9:10:11:13:14 SD: 12.8427 cents 8:9 x 10:12:13:14:16 S SD: 16.9903 cents 9:10 x 12:13:14:16:18 S SD: 13.5035 cents 10:11:12:13:14:16:18:20 S SD: 12.1449 cents 11:12:13:14:16:18:20:22 S SD: 10.4367 cents 13 x 15:17:19:21:23:26 SD: 7.0144 cents 14 x 16:18:20:23:25:28 SD: 7.8665 cents 15:17 x 19:22:24:27:30 SD: 8.9985 cents 16:18:19:21:23:26:29:32 SD: 8.8042 cents 17:19:20:22:24:27:30:34 SD: 8.0748 cents 18:20:21:23:26:29:32:36 SD: 4.0972 cents 22 x 25:28:32:35:39:44 SD: 8.4169 cents 23:26:27:30:33:37:41:46 SD: 5.7216 cents 24:27:28:31:35:39:43:48 SD: 5.0692 cents 25:28:29:32:36:40:45:50 SD: 2.8040 cents 38:42:44:49:55:61:68:76 SD: 2.6845 cents 43:48:50:56:62:69:77:86 SD: 2.5426 cents 44:49:51:57:63:71:79:88 SD: 2.1157 cents 45:50:52:58:65:72:81:90 SD: 1.9826 cents 52:58:60:67:75:84:93:104 SD: 1.7050 cents 59:66:68:76:85:95:106:118 SD: 1.4997 cents 68:76:79:88:98:109:122:136 SD: 1.4047 cents 69:77:80:89:99:111:124:138 SD: 1.2771 cents 77:86:89:99:111:124:138:154 SD: 1.2282 cents 89:99:103:115:128:143:160:178 SD: 1.0979 cents 95:106:110:123:137:153:170:190 SD: 1.0848 cents 96:107:111:124:138:154:172:192 SD: 0.7206 cents 120:134:139:155:173:193:215:240 SD: 0.5196 cents 165:184:191:213:238:265:296:330 SD: 0.4548 cents 209:233:242:270:301:336:375:418 SD: 0.3974 cents 216:241:250:279:311:347:387:432 SD: 0.2258 cents 381:425:441:492:549:612:683:762 SD: 0.1856 cents 382:426:442:493:550:614:685:764 SD: 0.1832 cents 440:491:509:568:634:707:789:880 SD: 0.1583 cents 491:548:568:634:707:789:880:982 SD: 0.1511 cents 502:560:581:648:723:807:900:1004 SD: 0.1339 cents 529:590:612:683:762:850:948:1058 SD: 0.1314 cents 536:598:620:692:772:861:961:1072 SD: 0.1191 cents 554:618:641:715:798:890:993:1108 SD: 0.0983 cents