Scala analysis: xen18-erlich-liese-03
2L 1s MOS for Liese, L=569.05, s=64.52
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 569.050 cents 569.050000 2: 633.570 cents 633.570000 3: 1202.620 cents 1202.620000
SHOW/INTERVAL
0: 569.0500 cents 569.0500 1: 569.0500 cents 569.0500 2: 64.5200 cents 64.5200 3: 569.0500 cents 569.0500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 64.52000 cents 1: 2 569.05000 cents 2: 2 633.57000 cents 2: 1 1138.10000 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 0.0 : 569.0 633.6 1202.6 569.0 : 64.5 633.6 1202.6 633.6 : 569.0 1138.1 1202.6 1202.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 64.5200 .. 569.0500 cents 504.53000 cents 64.52000 cents 2: 633.5700 .. 1138.1000 cents 504.53000 cents 64.52000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 64.52000 cents, class 1 Average step (divided formal octave): 400.8733 cents Largest one step interval : 569.05000 cents Average / Smallest step : 6.213164 Largest / Average step : 1.419526 Largest / Smallest step : 8.819746 Median interval of one step : 569.05000 cents, amount: 2 Most common interval of one step : 569.05000 cents, amount: 2 Least squares average step : 388.86071 cents, oct.: 1166.58214 cents Scale is strictly proper Scale has Myhill's property chromas: 504.53000 cents and 440.01000 cents, ratio: 1.146633 generators: 1 of 569.05000 cents and 2 of 633.57000 cents ET pair of linear temperament : 17&19 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1202.620 cents degrees: 97 108 205 generators: 97 and 108 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Scale is a Constant Structure, by a margin of 64.52000 cents Scale diversity : 0.927731 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.160949 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 64.52000 cents Most common intervals : 569.05000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 137.3157 c. M: 168.1767 c. 4: 2 0 2 P M DE I SD: 26.3402 c. M: 32.2600 c. 11: 5 1 5 SP M DE I SD: 18.2932 c. M: 22.4045 c. 13: 6 1 6 SP M DE I SD: 11.4266 c. M: 13.9946 c. 15: 7 1 7 SP M DE I SD: 6.3910 c. M: 7.8273 c. 17: 8 1 8 SP M DE I SD: 2.5403 c. M: 3.1112 c. 19: 9 1 9 SP M DE I SD: 0.4998 c. M: 0.6121 c. 55: 26 3 26 SP M DE I SD: 0.4399 c. M: 0.5387 c. 74: 35 4 35 SP M DE I SD: 0.1986 c. M: 0.2432 c. 93: 44 5 44 SP M DE I SD: 0.0559 c. M: 0.0685 c. 112: 53 6 53 SP M DE I SD: 0.0383 c. M: 0.0470 c. 205: 97 11 97 SP M DE I SD: 0.0044 c. M: 0.0054 c. 727: 344 39 344 SP M DE I SD: 0.0022 c. M: 0.0027 c. 932: 441 50 441 SP M DE I SD: 0.0007 c. M: 0.0009 c. 1137: 538 61 538 SP M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x 2 S SD: 2.6200 cents 2 x 3:4 S SD: 34.2176 cents 3:4 x 6 S SD: 35.5267 cents 4 x 6:8 S SD: 34.2176 cents 5:7 x 10 SD: 6.8574 cents 7 x 10:14 SD: 8.1471 cents 9 x 13:18 SD: 2.0095 cents 10:14 x 20 SD: 6.8574 cents 12 x 17:24 SD: 15.3408 cents 13:18:19:26 SD: 8.0779 cents 16:22:23:32 SD: 6.2302 cents 18:25:26:36 SD: 1.3443 cents 59:82:85:118 SD: 1.0403 cents 77:107:111:154 SD: 0.9042 cents 95:132:137:190 SD: 0.8869 cents 172:239:248:345 SD: 0.8173 cents 188:261:271:377 SD: 0.7677 cents 190:264:274:381 SD: 0.6616 cents 206:286:297:413 SD: 0.6265 cents 208:289:300:417 SD: 0.5485 cents 224:311:323:449 SD: 0.5215 cents 226:314:326:453 SD: 0.4723 cents 231:321:333:463 SD: 0.4415 cents 244:339:352:489 SD: 0.4287 cents 249:346:359:499 SD: 0.3343 cents 265:368:382:531 SD: 0.3318 cents 267:371:385:535 SD: 0.2548 cents 285:396:411:571 SD: 0.2075 cents 301:418:434:603 SD: 0.2064 cents 303:421:437:607 SD: 0.1962 cents 319:443:460:639 SD: 0.1902 cents 326:453:470:653 SD: 0.1880 cents 344:478:496:689 SD: 0.1623 cents 378:525:545:757 SD: 0.1621 cents 568:789:819:1138 SD: 0.1448 cents 586:814:845:1174 SD: 0.1191 cents