Scala analysis: xen18-erlich-ripple-05
1L 4s MOS for Ripple, L=795.36, s=101.99
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.990 cents 101.990000 2: 203.980 cents 203.980000 3: 999.340 cents 999.340000 4: 1101.330 cents 1101.330000 5: 1203.320 cents 1203.320000
SHOW/INTERVAL
0: 101.9900 cents 101.9900 1: 101.9900 cents 101.9900 2: 101.9900 cents 101.9900 3: 795.3600 cents 795.3600 4: 101.9900 cents 101.9900 5: 101.9900 cents 101.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 101.99000 cents 1: 1 795.36000 cents 2: 3 203.98000 cents 2: 2 897.35000 cents 3: 2 305.97000 cents 3: 3 999.34000 cents 4: 1 407.96000 cents 4: 4 1101.33000 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 : 102.0 204.0 999.3 1101.3 1203.3 102.0 : 102.0 897.4 999.3 1101.3 1203.3 204.0 : 795.4 897.3 999.3 1101.3 1203.3 999.3 : 102.0 204.0 306.0 408.0 1203.3 1101.3: 102.0 204.0 306.0 1101.3 1203.3 1203.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.9900 .. 795.3600 cents 693.37000 cents 101.99000 cents 2: 203.9800 .. 897.3500 cents 693.37000 cents -591.38000 cents 3: 305.9700 .. 999.3400 cents 693.37000 cents -591.38000 cents 4: 407.9600 .. 1101.3300 cents 693.37000 cents -591.38000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 101.99000 cents, class 1 Average step (divided formal octave): 240.6640 cents Largest one step interval : 795.36000 cents Average / Smallest step : 2.359682 Largest / Average step : 3.304857 Largest / Smallest step : 7.798412 Median interval of one step : 101.99000 cents, amount: 4 Most common interval of one step : 101.99000 cents, amount: 4 Least squares average step : 253.27073 cents, oct.: 1266.35364 cents Scale is not proper Scale has Myhill's property chromas: 693.37000 cents and 591.38000 cents, ratio: 1.172461 generators: 1 of 101.99000 cents and 4 of 1101.33000 cents ET pair of linear temperament : 11&12 Scale is distributional even Scale is a mode of a 1227-tone equal temperament with octave 1203.320 cents degrees: 104 208 1019 1123 1227 generators: 104 and 1123 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 101.99000 cents Scale diversity : 1.132488 Lumma stability : 0.169514 Lumma impropriety factor : 0.660971 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 : 101.99000 cents Most common intervals : 101.99000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 203.980 1101.330 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 1 0 N T3 I SD: 68.5498 c. M:-101.9900 c. 6: 0 1 4 0 1 N T3 SD: 63.4668 c. M: 101.9900 c. 7: 1 0 5 0 1 N T3 I SD: 48.6487 c. M:-69.9129 c. 10: 1 1 6 1 1 N M DE I SD: 25.9395 c. M: 36.6840 c. 11: 1 1 7 1 1 N M DE I SD: 10.4690 c. M: 14.8055 c. 12: 1 1 8 1 1 N M DE I SD: 2.4230 c. M: 3.4267 c. 35: 3 3 23 3 3 N M DE I SD: 1.6288 c. M: 2.3034 c. 47: 4 4 31 4 4 N M DE I SD: 0.5943 c. M: 0.8404 c. 59: 5 5 39 5 5 N M DE I SD: 0.0194 c. M: 0.0275 c. 755: 64 64 499 64 64 N M DE I SD: 0.0188 c. M: 0.0266 c. 814: 69 69 538 69 69 N M DE I SD: 0.0160 c. M: 0.0227 c. 873: 74 74 577 74 74 N M DE I SD: 0.0136 c. M: 0.0193 c. 932: 79 79 616 79 79 N M DE I SD: 0.0115 c. M: 0.0163 c. 991: 84 84 655 84 84 N M DE I SD: 0.0097 c. M: 0.0137 c. 1050: 89 89 694 89 89 N M DE I SD: 0.0081 c. M: 0.0114 c. 1109: 94 94 733 94 94 N M DE I SD: 0.0066 c. M: 0.0093 c. 1168: 99 99 772 99 99 N M DE I SD: 0.0053 c. M: 0.0075 c. 1227: 104 104 811 104 104 N M DE I SD: 0.0041 c. M: 0.0058 c. 1286: 109 109 850 109 109 N M DE I SD: 0.0030 c. M: 0.0043 c. 1345: 114 114 889 114 114 N M DE I SD: 0.0020 c. M: 0.0029 c. 1404: 119 119 928 119 119 N M DE I SD: 0.0011 c. M: 0.0016 c. 1463: 124 124 967 124 124 N M DE I SD: 0.0003 c. M: 0.0004 c.
FIT/HARMONIC
1 x x x x 2 S SD: 3.3200 cents 2 x x x x 4 S SD: 3.3200 cents 3 x 4:5 x 6 S SD: 105.2542 cents 4 x 5:7 x 8 SD: 61.6331 cents 5 x 6:9 x 10 S SD: 37.7309 cents 6 x 7:11 x 12 SD: 26.8092 cents 7 x 8:12:13:14 S SD: 19.3847 cents 8 x 9:14:15:16 SD: 8.3394 cents 9 x 10:16:17:18 SD: 5.5182 cents 10 x 11:18:19:20 SD: 11.0703 cents 11:12 x 20:21:22 SD: 15.7672 cents 13:14:15:23:25:26 SD: 12.1645 cents 14:15:16:25:26:28 SD: 8.8383 cents 15:16:17:27:28:30 SD: 6.4255 cents 17:18:19:30:32:34 SD: 4.2288 cents 31:33:35:55:59:62 SD: 3.4469 cents 32:34:36:57:60:64 SD: 2.7600 cents 33:35:37:59:62:66 SD: 2.6870 cents 46:49:52:82:87:92 SD: 2.3652 cents 47:50:53:84:89:94 SD: 2.0499 cents 63:67:71:112:119:126 SD: 1.4358 cents 64:68:72:114:121:128 SD: 0.9283 cents 136:144:153:242:257:273 SD: 0.9249 cents 145:154:163:258:274:291 SD: 0.8320 cents 151:160:170:269:285:303 SD: 0.7240 cents 168:178:189:299:317:337 SD: 0.7232 cents 169:179:190:301:319:339 SD: 0.7208 cents 178:189:200:317:336:357 SD: 0.7141 cents 182:193:205:324:344:365 SD: 0.5597 cents 183:194:206:326:346:367 SD: 0.4820 cents 200:212:225:356:378:401 SD: 0.3984 cents 215:228:242:383:406:431 SD: 0.2789 cents 264:280:297:470:499:529 SD: 0.2376 cents 279:296:314:497:527:559 SD: 0.1716 cents 479:508:539:853:905:960 SD: 0.1209 cents 512:543:576:912:967:1026 SD: 0.1108 cents 543:576:611:967:1026:1088 SD: 0.1036 cents 544:577:612:969:1028:1090 SD: 0.1015 cents 576:611:648:1026:1088:1154 SD: 0.0940 cents