Scala analysis: xen18-erlich-miracle-06
1L 5s MOS for Miracle, L=617.03, 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: 850.470 cents 850.470000 4: 967.190 cents 967.190000 5: 1083.910 cents 1083.910000 6: 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: 617.0300 cents 617.0300 4: 116.7200 cents 116.7200 5: 116.7200 cents 116.7200 6: 116.7200 cents 116.7200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 116.72000 cents 1: 1 617.03000 cents 2: 4 233.44000 cents 2: 2 733.75000 cents 3: 3 350.16000 cents 3: 3 850.47000 cents 4: 2 466.88000 cents 4: 4 967.19000 cents 5: 1 583.60000 cents 5: 5 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 6 0.0 : 116.7 233.4 850.5 967.2 1083.9 1200.6 116.7 : 116.7 733.7 850.5 967.2 1083.9 1200.6 233.4 : 617.0 733.8 850.5 967.2 1083.9 1200.6 850.5 : 116.7 233.4 350.2 466.9 583.6 1200.6 967.2 : 116.7 233.4 350.2 466.9 1083.9 1200.6 1083.9: 116.7 233.4 350.2 967.2 1083.9 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.7200 .. 617.0300 cents 500.31000 cents 116.72000 cents 2: 233.4400 .. 733.7500 cents 500.31000 cents -383.59000 cents 3: 350.1600 .. 850.4700 cents 500.31000 cents -383.59000 cents 4: 466.8800 .. 967.1900 cents 500.31000 cents -383.59000 cents 5: 583.6000 .. 1083.9100 cents 500.31000 cents -383.59000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 116.72000 cents, class 1 Average step (divided formal octave): 200.1050 cents Largest one step interval : 617.03000 cents Average / Smallest step : 1.714402 Largest / Average step : 3.083531 Largest / Smallest step : 5.286412 Median interval of one step : 116.72000 cents, amount: 5 Most common interval of one step : 116.72000 cents, amount: 5 Least squares average step : 215.68242 cents, oct.: 1294.09451 cents Scale is not proper Scale has Myhill's property chromas: 500.31000 cents and 383.59000 cents, ratio: 1.304283 generators: 1 of 116.72000 cents and 5 of 1083.91000 cents ET pair of linear temperament : 10&31 Scale is distributional even Scale is a mode of a 1687-tone equal temperament with octave 1200.630 cents degrees: 164 328 1195 1359 1523 1687 generators: 164 and 1523 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAA Step pattern size order : SSLSSS Scale is a Constant Structure, by a margin of 33.43000 cents Scale diversity : 1.311459 Lumma stability : 0.194431 Lumma impropriety factor : 0.611137 Rothenberg efficiency : 0.777778 redundancy: 0.222222 Efficiency x scale size : 4.666667 Number of different interval sizes : 10 = 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 : 33.43000 cents Most common intervals : 116.72000 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 233.440 1083.910 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 5-6 -- Rational properties --
FIT/MODE
6: 0 1 3 1 0 1 N SD: 64.9411 c. M: 116.7200 c. 7: 1 0 4 1 0 1 N SD: 47.8279 c. M:-61.9214 c. 9: 1 1 4 1 1 1 N M DE SD: 29.6882 c. M: 50.0500 c. 10: 1 1 5 1 1 1 N M DE SD: 5.9489 c. M: 10.0290 c. 21: 2 2 11 2 2 2 N M DE SD: 4.2251 c. M:-7.1229 c. 31: 3 3 16 3 3 3 N M DE SD: 0.9431 c. M:-1.5900 c. 41: 4 4 21 4 4 4 N M DE SD: 0.7378 c. M: 1.2439 c. 72: 7 7 37 7 7 7 N M DE SD: 0.0141 c. M: 0.0238 c. 1111: 108 108 571 108 108 108 N M DE SD: 0.0126 c. M:-0.0213 c. 1183: 115 115 608 115 115 115 N M DE SD: 0.0110 c. M:-0.0185 c. 1255: 122 122 645 122 122 122 N M DE SD: 0.0096 c. M:-0.0161 c. 1327: 129 129 682 129 129 129 N M DE SD: 0.0083 c. M:-0.0139 c. 1399: 136 136 719 136 136 136 N M DE SD: 0.0071 c. M:-0.0120 c. 1471: 143 143 756 143 143 143 N M DE SD: 0.0061 c. M:-0.0103 c. 1543: 150 150 793 150 150 150 N M DE SD: 0.0051 c. M:-0.0087 c. 1615: 157 157 830 157 157 157 N M DE SD: 0.0043 c. M:-0.0072 c. 1687: 164 164 867 164 164 164 N M DE SD: 0.0035 c. M:-0.0059 c. 1759: 171 171 904 171 171 171 N M DE SD: 0.0028 c. M:-0.0047 c. 1831: 178 178 941 178 178 178 N M DE SD: 0.0021 c. M:-0.0036 c. 1903: 185 185 978 185 185 185 N M DE SD: 0.0015 c. M:-0.0025 c. 1975: 192 192 1015 192 192 192 N M DE SD: 0.0009 c. M:-0.0016 c. 2047: 199 199 1052 199 199 199 N M DE SD: 0.0004 c. M:-0.0007 c. 2119: 206 206 1089 206 206 206 N M DE SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.6300 cents 2 x x 3 x x 4 S SD: 74.2582 cents 3 x 4:5 x x 6 S SD: 88.9223 cents 4 x 5 x 7 x 8 SD: 50.9613 cents 5 x 6:8:9 x 10 S SD: 25.8013 cents 6 x 7:10 x 11:12 SD: 14.7054 cents 7 x 8:11:12:13:14 SD: 15.4087 cents 8 x 9:13:14:15:16 SD: 6.3022 cents 9 x 10:15:16:17:18 S SD: 13.9748 cents 10:11 x 16:17:19:20 SD: 16.4760 cents 11:12:13:18:19:21:22 SD: 12.8780 cents 12:13:14:20:21:22:24 SD: 10.4618 cents 13:14:15:21:23:24:26 SD: 6.8226 cents 14:15:16:23:24:26:28 SD: 6.2422 cents 16:17:18:26:28:30:32 SD: 5.6059 cents 25:27:29:41:44:47:50 SD: 5.4626 cents 27:29:31:44:47:51:54 SD: 3.5664 cents 28:30:32:46:49:52:56 SD: 2.6102 cents 41:44:47:67:72:77:82 SD: 2.0425 cents 55:59:63:90:96:103:110 SD: 1.1083 cents 71:76:81:116:124:133:142 SD: 1.0685 cents 84:90:96:137:147:157:168 SD: 0.9126 cents 115:123:132:188:201:215:230 SD: 0.8960 cents 117:125:134:191:205:219:234 SD: 0.8713 cents 118:126:135:193:206:221:236 SD: 0.8262 cents 131:140:150:214:229:245:262 SD: 0.3746 cents 186:199:213:304:325:348:372 SD: 0.3072 cents 230:246:263:376:402:430:460 SD: 0.2958 cents 270:289:309:441:472:505:540 SD: 0.2722 cents 271:290:310:443:474:507:542 SD: 0.2421 cents 361:386:413:590:631:675:722 SD: 0.2125 cents 402:430:460:657:703:752:804 SD: 0.1404 cents 588:629:673:961:1028:1100:1176 SD: 0.1373 cents