Scala analysis: xen18-erlich-mavila-07
2L 5s MOS for Mavila, L=194.50, s=163.51
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 163.510 cents 163.510000 2: 358.010 cents 358.010000 3: 521.520 cents 521.520000 4: 685.030 cents 685.030000 5: 848.540 cents 848.540000 6: 1043.040 cents 1043.040000 7: 1206.550 cents 1206.550000
SHOW/INTERVAL
0: 163.5100 cents 163.5100 1: 163.5100 cents 163.5100 2: 194.5000 cents 194.5000 3: 163.5100 cents 163.5100 4: 163.5100 cents 163.5100 5: 163.5100 cents 163.5100 6: 194.5000 cents 194.5000 7: 163.5100 cents 163.5100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 163.51000 cents 1: 2 194.50000 cents 2: 3 327.02000 cents 2: 4 358.01000 cents 3: 1 490.53000 cents 3: 6 521.52000 cents 4: 6 685.03000 cents 4: 1 716.02000 cents 5: 4 848.54000 cents 5: 3 879.53000 cents 6: 2 1012.05000 cents 6: 5 1043.04000 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 : 163.5 358.0 521.5 685.0 848.5 1043.0 1206.5 163.5 : 194.5 358.0 521.5 685.0 879.5 1043.0 1206.5 358.0 : 163.5 327.0 490.5 685.0 848.5 1012.0 1206.5 521.5 : 163.5 327.0 521.5 685.0 848.5 1043.0 1206.5 685.0 : 163.5 358.0 521.5 685.0 879.5 1043.0 1206.5 848.5 : 194.5 358.0 521.5 716.0 879.5 1043.0 1206.5 1043.0: 163.5 327.0 521.5 685.0 848.5 1012.0 1206.5 1206.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 163.5100 .. 194.5000 cents 30.99000 cents 163.51000 cents 2: 327.0200 .. 358.0100 cents 30.99000 cents 132.52000 cents 3: 490.5300 .. 521.5200 cents 30.99000 cents 132.52000 cents 4: 685.0300 .. 716.0200 cents 30.99000 cents 163.51000 cents 5: 848.5400 .. 879.5300 cents 30.99000 cents 132.52000 cents 6: 1012.0500 .. 1043.0400 cents 30.99000 cents 132.52000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 163.51000 cents, class 1 Average step (divided formal octave): 172.3643 cents Largest one step interval : 194.50000 cents Average / Smallest step : 1.054151 Largest / Average step : 1.128424 Largest / Smallest step : 1.189530 Median interval of one step : 163.51000 cents, amount: 5 Most common interval of one step : 163.51000 cents, amount: 5 Least squares average step : 172.36429 cents, oct.: 1206.55000 cents Scale is strictly proper Scale has Myhill's property chromas: 30.99000 cents and 132.52000 cents, ratio: 4.276218 generators: 3 of 521.52000 cents and 4 of 685.03000 cents ET pair of linear temperament : 37&118 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 701-tone equal temperament with octave 1206.550 cents degrees: 95 208 303 398 493 606 701 generators: 303 and 398 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABA Step pattern size order : SLSSSLS Scale is a Constant Structure, by a margin of 132.52000 cents Scale diversity : 1.139871 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.845891 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 : 30.99000 cents Most common intervals : 521.52000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 521.520 1043.040 cents Most common triad is 0.0 521.520 685.030 cents, amount: 5 Number of recognisable fifths : 1, average 716.0200 cents Number of appreciable fifths : 0 Number of recognisable fourths : 1, average 490.5300 cents Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 8.8543 c. M:-13.2814 c. Lebeng 23: 3 4 3 3 3 4 3 SP M ME I SD: 6.1339 c. M:-9.2009 c. Armodue-7, Antidorian 30: 4 5 4 4 4 5 4 SP M ME I SD: 2.6367 c. M: 3.9550 c. 37: 5 6 5 5 5 6 5 SP M ME I SD: 0.4627 c. M:-0.6941 c. 81: 11 13 11 11 11 13 11 SP M DE I SD: 0.3425 c. M: 0.5137 c. 118: 16 19 16 16 16 19 16 SP M DE I SD: 0.0900 c. M:-0.1350 c. 155: 21 25 21 21 21 25 21 SP M DE I SD: 0.0419 c. M:-0.0629 c. 273: 37 44 37 37 37 44 37 SP M DE I SD: 0.0151 c. M: 0.0226 c. 428: 58 69 58 58 58 69 58 SP M DE I SD: 0.0056 c. M: 0.0083 c. 701: 95 113 95 95 95 113 95 SP M DE I SD: 0.0025 c. M: 0.0037 c. 1129: 153 182 153 153 153 182 153 SP M DE I SD: 0.0006 c. M:-0.0009 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 6.5500 cents 2 x x x 3 x x 4 S SD: 9.0741 cents 3 x x 4 x 5 x 6 S SD: 14.4413 cents 4 x 5 x 6 x 7:8 S SD: 20.3688 cents 5 x 6:7 x 8:9:10 S SD: 17.2281 cents 6 x 7:8:9:10:11:12 S SD: 17.0862 cents 7:8:9 x 10:11:13:14 SD: 23.7507 cents 8:9:10:11:12:13:15:16 SD: 10.8424 cents 11:12:14:15:16:18:20:22 S SD: 10.4871 cents 12:13:15:16:18:20:22:24 SD: 8.6028 cents 17:19:21:23:25:28:31:34 SD: 5.5256 cents 21:23:26:28:31:34:38:42 SD: 5.2612 cents 22:24:27:30:33:36:40:44 S SD: 4.1065 cents 29:32:36:39:43:47:53:58 SD: 3.5013 cents 31:34:38:42:46:51:57:62 SD: 2.9105 cents 39:43:48:53:58:64:71:78 SD: 2.4102 cents 48:53:59:65:71:78:88:96 SD: 2.3767 cents 49:54:60:66:73:80:90:98 SD: 2.3536 cents 51:56:63:69:76:83:93:102 SD: 1.9101 cents 52:57:64:70:77:85:95:104 SD: 1.7371 cents 60:66:74:81:89:98:110:120 SD: 1.5728 cents 70:77:86:95:104:114:128:141 SD: 1.5035 cents 74:81:91:100:110:121:135:149 SD: 1.3526 cents 82:90:101:111:122:134:150:165 SD: 1.0428 cents 91:100:112:123:135:149:166:183 SD: 0.9825 cents 103:113:127:139:153:168:188:207 SD: 0.9598 cents 109:120:134:147:162:178:199:219 SD: 0.7392 cents 122:134:150:165:181:199:223:245 SD: 0.4712 cents 191:210:235:258:284:312:349:383 SD: 0.4672 cents 213:234:262:288:316:348:389:428 SD: 0.4565 cents 231:254:284:312:343:377:422:464 SD: 0.2757 cents 253:278:311:342:376:413:462:508 SD: 0.1947 cents 375:412:461:507:557:612:685:753 SD: 0.1747 cents 484:532:595:654:719:790:884:972 SD: 0.1427 cents 544:598:669:735:808:888:994:1092 SD: 0.1276 cents 566:622:696:765:841:924:1034:1136 SD: 0.1070 cents