Scala analysis: xen18-erlich-cynder-06
5L 1s MOS for Cynder, L=232.52, s=39.10
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 232.520 cents 232.520000 2: 465.040 cents 465.040000 3: 697.560 cents 697.560000 4: 736.660 cents 736.660000 5: 969.180 cents 969.180000 6: 1201.700 cents 1201.700000
SHOW/INTERVAL
0: 232.5200 cents 232.5200 1: 232.5200 cents 232.5200 2: 232.5200 cents 232.5200 3: 232.5200 cents 232.5200 4: 39.1000 cents 39.1000 5: 232.5200 cents 232.5200 6: 232.5200 cents 232.5200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 39.10000 cents 1: 5 232.52000 cents 2: 2 271.62000 cents 2: 4 465.04000 cents 3: 3 504.14000 cents 3: 3 697.56000 cents 4: 4 736.66000 cents 4: 2 930.08000 cents 5: 5 969.18000 cents 5: 1 1162.60000 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 : 232.5 465.0 697.6 736.7 969.2 1201.7 232.5 : 232.5 465.0 504.1 736.7 969.2 1201.7 465.0 : 232.5 271.6 504.1 736.7 969.2 1201.7 697.6 : 39.1 271.6 504.1 736.7 969.2 1201.7 736.7 : 232.5 465.0 697.6 930.1 1162.6 1201.7 969.2 : 232.5 465.0 697.6 930.1 969.2 1201.7 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.1000 .. 232.5200 cents 193.42000 cents 39.10000 cents 2: 271.6200 .. 465.0400 cents 193.42000 cents 39.10000 cents 3: 504.1400 .. 697.5600 cents 193.42000 cents 39.10000 cents 4: 736.6600 .. 930.0800 cents 193.42000 cents 39.10000 cents 5: 969.1800 .. 1162.6000 cents 193.42000 cents 39.10000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 39.10000 cents, class 1 Average step (divided formal octave): 200.2833 cents Largest one step interval : 232.52000 cents Average / Smallest step : 5.122336 Largest / Average step : 1.160955 Largest / Smallest step : 5.946803 Median interval of one step : 232.52000 cents, amount: 5 Most common interval of one step : 232.52000 cents, amount: 5 Least squares average step : 200.63758 cents, oct.: 1203.82549 cents Scale is strictly proper Scale has Myhill's property chromas: 193.42000 cents and 154.32000 cents, ratio: 1.253370 generators: 1 of 232.52000 cents and 5 of 969.18000 cents ET pair of linear temperament : 26&31 Scale is distributional even Scale is a mode of a 584-tone equal temperament with octave 1201.700 cents degrees: 113 226 339 358 471 584 generators: 113 and 471 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAA Step pattern size order : LLLSLL Scale is a Constant Structure, by a margin of 39.10000 cents Scale diversity : 1.113572 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.195223 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 : 39.10000 cents Most common intervals : 232.52000 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 465.040 969.180 cents Most common triad is 0.0 232.520 969.180 cents, amount: 4 Number of recognisable fifths : 3, average 697.5600 cents Number of recognisable fourths : 3, average 504.1400 cents Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 3-4 -- Rational properties --
FIT/MODE
6: 1 1 1 0 2 1 N T3 SD: 75.3131 c. M: 135.8100 c. 7: 1 2 1 0 2 1 N D3 SD: 45.6768 c. M: 60.8486 c. 8: 2 1 2 0 2 1 P D3 SD: 49.4351 c. M:-82.3075 c. 9: 2 1 2 0 2 2 N SD: 45.1024 c. M: 69.0489 c. 10: 2 2 2 0 2 2 P M DE SD: 13.9158 c. M:-23.4600 c. 15: 3 3 3 0 3 3 P M DE SD: 13.9158 c. M:-23.4600 c. 16: 3 3 3 1 3 3 SP M DE SD: 12.8147 c. M: 21.6038 c. 21: 4 4 4 1 4 4 SP M DE SD: 6.4503 c. M: 10.8743 c. 26: 5 5 5 1 5 5 SP M DE SD: 2.5338 c. M: 4.2715 c. 31: 6 6 6 1 6 6 SP M DE SD: 0.1194 c. M:-0.2013 c. Genus octavum 305: 59 59 59 10 59 59 SP M DE SD: 0.1068 c. M: 0.1800 c. 336: 65 65 65 11 65 65 SP M DE SD: 0.0859 c. M: 0.1448 c. 367: 71 71 71 12 71 71 SP M DE SD: 0.0686 c. M: 0.1156 c. 398: 77 77 77 13 77 77 SP M DE SD: 0.0539 c. M: 0.0909 c. 429: 83 83 83 14 83 83 SP M DE SD: 0.0414 c. M: 0.0698 c. 460: 89 89 89 15 89 89 SP M DE SD: 0.0306 c. M: 0.0515 c. 491: 95 95 95 16 95 95 SP M DE SD: 0.0211 c. M: 0.0356 c. 522: 101 101 101 17 101 101 SP M DE SD: 0.0127 c. M: 0.0215 c. 553: 107 107 107 18 107 107 SP M DE SD: 0.0053 c. M: 0.0090 c. 584: 113 113 113 19 113 113 SP M DE SD: 0.0013 c. M:-0.0022 c. 1721: 333 333 333 56 333 333 SP M DE SD: 0.0008 c. M: 0.0014 c. 2305: 446 446 446 75 446 446 SP M DE SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 1.7000 cents 2 x x 3 x x 4 S SD: 2.3562 cents 3 x 4 x x 5:6 S SD: 30.3441 cents 4 x 5:6 x 7:8 S SD: 19.7170 cents 5:6 x 7:8:9:10 S SD: 33.7196 cents 6:7:8:9 x 11:12 SD: 18.6771 cents 7:8:9:10:11:12:14 S SD: 17.2513 cents 8:9:10:12 x 14:16 S SD: 16.7794 cents 9:10:12:13:14:16:18 S SD: 15.6705 cents 10:11:13:15 x 18:20 SD: 16.7832 cents 11:13:14:16:17:19:22 SD: 15.5291 cents 12:14:16:18 x 21:24 S SD: 9.5742 cents 13:15:17:19:20:23:26 SD: 8.0091 cents 14:16:18:21 x 25:28 SD: 9.2087 cents 15:17:20:22:23:26:30 SD: 8.8685 cents 16:18:21:24 x 28:32 S SD: 5.9121 cents 20:23:26:30:31:35:40 SD: 4.4578 cents 26:30:34:39:40:46:52 SD: 4.3534 cents 28:32:37:42:43:49:56 SD: 3.1886 cents 36:41:47:54:55:63:72 SD: 1.6424 cents 49:56:64:73:75:86:98 SD: 1.5729 cents 55:63:72:82:84:96:110 SD: 1.5328 cents 64:73:84:96:98:112:128 SD: 1.4781 cents 68:78:89:102:104:119:136 SD: 1.1711 cents 85:97:111:127:130:149:170 SD: 1.0621 cents 91:104:119:136:139:159:182 SD: 0.8998 cents 104:119:136:156:159:182:208 SD: 0.8536 cents 111:127:145:166:170:194:222 SD: 0.7129 cents 117:134:153:175:179:205:234 SD: 0.5879 cents 153:175:200:229:234:268:306 SD: 0.4621 cents 224:256:293:335:343:392:448 SD: 0.4223 cents 256:293:335:383:392:448:513 SD: 0.3975 cents 272:311:356:407:416:476:545 SD: 0.3576 cents 292:334:382:437:447:511:585 SD: 0.2468 cents 341:390:446:510:522:597:683 SD: 0.2135 cents 377:431:493:564:577:660:755 SD: 0.2027 cents 409:468:535:612:626:716:819 SD: 0.1590 cents 445:509:582:666:681:779:891 SD: 0.1192 cents