Scala analysis: xen18-erlich-miracle-05
1L 4s MOS for Miracle, L=733.75, s=116.72
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 116.720 cents 116.720000 2: 233.440 cents 233.440000 3: 967.190 cents 967.190000 4: 1083.910 cents 1083.910000 5: 1200.630 cents 1200.630000
SHOW/INTERVAL
0: 116.7200 cents 116.7200 1: 116.7200 cents 116.7200 2: 116.7200 cents 116.7200 3: 733.7500 cents 733.7500 4: 116.7200 cents 116.7200 5: 116.7200 cents 116.7200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 116.72000 cents 1: 1 733.75000 cents 2: 3 233.44000 cents 2: 2 850.47000 cents 3: 2 350.16000 cents 3: 3 967.19000 cents 4: 1 466.88000 cents 4: 4 1083.91000 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 0.0 : 116.7 233.4 967.2 1083.9 1200.6 116.7 : 116.7 850.5 967.2 1083.9 1200.6 233.4 : 733.8 850.5 967.2 1083.9 1200.6 967.2 : 116.7 233.4 350.2 466.9 1200.6 1083.9: 116.7 233.4 350.2 1083.9 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.7200 .. 733.7500 cents 617.03000 cents 116.72000 cents 2: 233.4400 .. 850.4700 cents 617.03000 cents -500.31000 cents 3: 350.1600 .. 967.1900 cents 617.03000 cents -500.31000 cents 4: 466.8800 .. 1083.9100 cents 617.03000 cents -500.31000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 116.72000 cents, class 1 Average step (divided formal octave): 240.1260 cents Largest one step interval : 733.75000 cents Average / Smallest step : 2.057282 Largest / Average step : 3.055687 Largest / Smallest step : 6.286412 Median interval of one step : 116.72000 cents, amount: 4 Most common interval of one step : 116.72000 cents, amount: 4 Least squares average step : 251.34473 cents, oct.: 1256.72364 cents Scale is not proper Scale has Myhill's property chromas: 617.03000 cents and 500.31000 cents, ratio: 1.233295 generators: 1 of 116.72000 cents and 4 of 1083.91000 cents ET pair of linear temperament : 10&31 Scale is distributional even Scale is a mode of a 1543-tone equal temperament with octave 1200.630 cents degrees: 150 300 1243 1393 1543 generators: 150 and 1393 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : SSLSS Scale is a Constant Structure, by a margin of 116.72000 cents Scale diversity : 1.291456 Lumma stability : 0.194431 Lumma impropriety factor : 0.611137 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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 : 116.72000 cents Most common intervals : 116.72000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 233.440 1083.910 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 0 1 3 0 1 N T3 SD: 76.0815 c. M: 123.4060 c. 6: 1 0 4 0 1 N T3 I SD: 56.7954 c. M: 83.3850 c. 7: 1 0 5 0 1 N T3 I SD: 52.2959 c. M:-61.9214 c. 8: 1 1 4 1 1 N M DE I SD: 47.1764 c. M:-66.7175 c. 9: 1 1 5 1 1 N M DE I SD: 23.5938 c. M:-33.3667 c. 10: 1 1 6 1 1 N M DE I SD: 4.7277 c. M:-6.6860 c. 21: 2 2 13 2 2 N M DE I SD: 3.3577 c. M:-4.7486 c. 31: 3 3 19 3 3 N M DE I SD: 0.7495 c. M:-1.0600 c. 41: 4 4 25 4 4 N M DE I SD: 0.5864 c. M:-0.8293 c. 72: 7 7 44 7 7 N M DE I SD: 0.0112 c. M: 0.0158 c. 1111: 108 108 679 108 108 N M DE I SD: 0.0100 c. M:-0.0142 c. 1183: 115 115 723 115 115 N M DE I SD: 0.0087 c. M:-0.0124 c. 1255: 122 122 767 122 122 N M DE I SD: 0.0076 c. M:-0.0107 c. 1327: 129 129 811 129 129 N M DE I SD: 0.0066 c. M: 0.0093 c. 1399: 136 136 855 136 136 N M DE I SD: 0.0057 c. M: 0.0080 c. 1471: 143 143 899 143 143 N M DE I SD: 0.0048 c. M:-0.0068 c. 1543: 150 150 943 150 150 N M DE I SD: 0.0041 c. M: 0.0058 c. 1615: 157 157 987 157 157 N M DE I SD: 0.0034 c. M: 0.0048 c. 1687: 164 164 1031 164 164 N M DE I SD: 0.0028 c. M:-0.0039 c. 1759: 171 171 1075 171 171 N M DE I SD: 0.0022 c. M:-0.0031 c. 1831: 178 178 1119 178 178 N M DE I SD: 0.0017 c. M: 0.0024 c. 1903: 185 185 1163 185 185 N M DE I SD: 0.0012 c. M: 0.0017 c. 1975: 192 192 1207 192 192 N M DE I SD: 0.0007 c. M:-0.0011 c. 2047: 199 199 1251 199 199 N M DE I SD: 0.0003 c. M: 0.0005 c. 2119: 206 206 1295 206 206 N M DE I SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.6300 cents 2 x x x x 4 S SD: 0.6300 cents 3 x 4:5 x 6 S SD: 92.4225 cents 4 x 5:7 x 8 SD: 50.9613 cents 5 x 6:9 x 10 S SD: 32.1425 cents 6 x 7 x 11:12 SD: 16.0261 cents 7 x 8:12:13:14 S SD: 9.0648 cents 8 x 9:14:15:16 SD: 7.4753 cents 9 x 10:16:17:18 SD: 15.2765 cents 10:11 x 17:19:20 SD: 18.4279 cents 11:12:13:19:21:22 SD: 15.4478 cents 12:13:14:21:22:24 S SD: 10.5674 cents 13:14:15:23:24:26 SD: 7.1190 cents 15:16:17:26:28:30 SD: 4.6482 cents 27:29:31:47:51:54 SD: 4.1604 cents 28:30:32:49:52:56 SD: 2.5664 cents 41:44:47:72:77:82 SD: 2.4506 cents 54:58:62:94:101:108 SD: 2.3589 cents 55:59:63:96:103:110 SD: 1.2605 cents 56:60:64:98:105:112 SD: 1.1768 cents 83:89:95:145:155:166 SD: 1.0206 cents 84:90:96:147:157:168 SD: 0.8230 cents 116:124:133:203:217:232 SD: 0.7960 cents 130:139:149:227:243:260 SD: 0.7528 cents 131:140:150:229:245:262 SD: 0.4188 cents 186:199:213:325:348:372 SD: 0.3685 cents 187:200:214:327:350:374 SD: 0.2996 cents 215:230:246:376:402:430 SD: 0.1927 cents 401:429:459:701:750:802 SD: 0.1608 cents