Scala analysis: xen18-erlich-amity-07
4L 3s MOS for Amity, L=181.44, s=158.03
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 181.440 cents 181.440000 2: 339.470 cents 339.470000 3: 520.910 cents 520.910000 4: 678.940 cents 678.940000 5: 860.380 cents 860.380000 6: 1018.410 cents 1018.410000 7: 1199.850 cents 1199.850000
SHOW/INTERVAL
0: 181.4400 cents 181.4400 1: 181.4400 cents 181.4400 2: 158.0300 cents 158.0300 3: 181.4400 cents 181.4400 4: 158.0300 cents 158.0300 5: 181.4400 cents 181.4400 6: 158.0300 cents 158.0300 7: 181.4400 cents 181.4400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 158.03000 cents 1: 4 181.44000 cents 2: 6 339.47000 cents 2: 1 362.88000 cents 3: 2 497.50000 cents 3: 5 520.91000 cents 4: 5 678.94000 cents 4: 2 702.35000 cents 5: 1 836.97000 cents 5: 6 860.38000 cents 6: 4 1018.41000 cents 6: 3 1041.82000 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 : 181.4 339.5 520.9 678.9 860.4 1018.4 1199.8 181.4 : 158.0 339.5 497.5 678.9 837.0 1018.4 1199.8 339.5 : 181.4 339.5 520.9 678.9 860.4 1041.8 1199.9 520.9 : 158.0 339.5 497.5 678.9 860.4 1018.4 1199.8 678.9 : 181.4 339.5 520.9 702.3 860.4 1041.8 1199.8 860.4 : 158.0 339.5 520.9 678.9 860.4 1018.4 1199.8 1018.4: 181.4 362.9 520.9 702.3 860.4 1041.8 1199.8 1199.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 158.0300 .. 181.4400 cents 23.41000 cents 158.03000 cents 2: 339.4700 .. 362.8800 cents 23.41000 cents 158.03000 cents 3: 497.5000 .. 520.9100 cents 23.41000 cents 134.62000 cents 4: 678.9400 .. 702.3500 cents 23.41000 cents 158.03000 cents 5: 836.9700 .. 860.3800 cents 23.41000 cents 134.62000 cents 6: 1018.4100 .. 1041.8200 cents 23.41000 cents 158.03000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 158.03000 cents, class 1 Average step (divided formal octave): 171.4071 cents Largest one step interval : 181.44000 cents Average / Smallest step : 1.084649 Largest / Average step : 1.058532 Largest / Smallest step : 1.148136 Median interval of one step : 181.44000 cents, amount: 4 Most common interval of one step : 181.44000 cents, amount: 4 Least squares average step : 171.07271 cents, oct.: 1197.50900 cents Scale is strictly proper Scale has Myhill's property chromas: 23.41000 cents and 134.62000 cents, ratio: 5.750534 generators: 2 of 339.47000 cents and 5 of 860.38000 cents ET pair of linear temperament : 46&53 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1199.850 cents degrees: 31 58 89 116 147 174 205 generators: 58 and 147 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : LSLSLSL Scale is a Constant Structure, by a margin of 134.62000 cents Scale diversity : 1.115226 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.882935 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 : 23.41000 cents Most common intervals : 339.47000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 339.470 678.940 cents Most common triad is 0.0 339.470 860.380 cents, amount: 5 Number of recognisable fifths : 2, average 702.3500 cents Number of recognisable fourths : 2, average 497.5000 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% Limited transpositions with margin 23.4100 cents: 1 2 3 4 5 6 Limited inverse transpositions with margin 23.4100 cents: 1 2 3 4 5 6 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: 6.6886 c. M: 10.0329 c. Lebeng 32: 5 4 5 4 5 4 5 SP M ME I SD: 4.0244 c. M: 6.0366 c. 39: 6 5 6 5 6 5 6 SP M ME I SD: 2.1015 c. M: 3.1523 c. 46: 7 6 7 6 7 6 7 SP M ME I SD: 0.7639 c. M: 1.1459 c. 53: 8 7 8 7 8 7 8 SP M ME I SD: 0.2204 c. M: 0.3306 c. 152: 23 20 23 20 23 20 23 SP M DE I SD: 0.0775 c. M: 0.1162 c. 205: 31 27 31 27 31 27 31 SP M DE I SD: 0.0005 c. M: 0.0007 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.1500 cents 2 x x x 3 x x 4 S SD: 11.5077 cents 3 x x 4 x 5 x 6 S SD: 11.0444 cents 4 x 5 x 6 x 7:8 S SD: 17.9976 cents 5 x 6:7 x 8:9:10 S SD: 16.1785 cents 6 x 7:8:9:10:11:12 S SD: 14.7725 cents 7:8 x 9:10:12:13:14 S SD: 24.5789 cents 8:9:10:11:12:13:14:16 S SD: 11.9577 cents 9:10:11:12:13:15:16:18 SD: 8.3923 cents 14:16:17:19:21:23:25:28 SD: 8.1930 cents 15:17:18:20:22:25:27:30 SD: 8.0320 cents 17:19:21:23:25:28:31:34 SD: 5.4075 cents 19:21:23:26:28:31:34:38 SD: 4.4608 cents 25:28:30:34:37:41:45:50 SD: 4.3619 cents 28:31:34:38:41:46:50:56 SD: 3.6787 cents 29:32:35:39:43:48:52:58 SD: 3.4626 cents 34:38:41:46:50:56:61:68 SD: 3.3399 cents 36:40:44:49:53:59:65:72 SD: 2.7203 cents 37:41:45:50:55:61:67:74 SD: 1.9496 cents 46:51:56:62:68:76:83:92 SD: 1.5724 cents 54:60:66:73:80:89:97:108 SD: 1.4842 cents 65:72:79:88:96:107:117:130 SD: 1.0762 cents 92:102:112:124:136:151:166:184 SD: 1.0028 cents 100:111:122:135:148:164:180:200 SD: 0.9220 cents 106:118:129:143:157:174:191:212 SD: 0.8142 cents 120:133:146:162:178:197:216:240 SD: 0.8100 cents 125:139:152:169:185:205:225:250 SD: 0.7008 cents 129:143:157:174:191:212:232:258 SD: 0.6941 cents 146:162:178:197:216:240:263:292 SD: 0.6567 cents 152:169:185:205:225:250:274:304 SD: 0.6099 cents 154:171:187:208:228:253:277:308 SD: 0.5848 cents 162:180:197:219:240:266:292:324 SD: 0.4703 cents 171:190:208:231:253:281:308:342 SD: 0.2056 cents 379:421:461:512:561:623:683:758 SD: 0.1990 cents 387:430:471:523:573:636:697:774 SD: 0.1987 cents 396:440:482:535:586:651:713:792 SD: 0.1974 cents 416:462:506:562:616:684:749:832 SD: 0.1475 cents 452:502:550:611:669:743:814:904 SD: 0.1412 cents 527:585:641:712:780:866:949:1054 SD: 0.1400 cents 581:645:707:785:860:955:1046:1162 SD: 0.1154 cents 587:652:714:793:869:965:1057:1174 SD: 0.0991 cents