Scala analysis: xen18-erlich-liese-02
1L 1s MOS for Liese, L=633.57, s=569.05
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 633.570 cents 633.570000 2: 1202.620 cents 1202.620000
SHOW/INTERVAL
0: 569.0500 cents 569.0500 1: 633.5700 cents 633.5700 2: 569.0500 cents 569.0500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 569.05000 cents 1: 1 633.57000 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 0.0 : 633.6 1202.6 633.6 : 569.0 1202.6 1202.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 569.0500 .. 633.5700 cents 64.52000 cents 569.05000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 569.05000 cents, class 1 Average step (divided formal octave): 601.3100 cents Largest one step interval : 633.57000 cents Average / Smallest step : 1.056691 Largest / Average step : 1.053650 Largest / Smallest step : 1.113382 Median interval of one step : 601.31000 cents, amount: 0 Least squares average step : 607.76200 cents, oct.: 1215.52400 cents Scale is strictly proper Scale has Myhill's property chromas: 64.52000 cents and 504.53000 cents, ratio: 7.819746 generator: 569.05000 cents ET pair of linear temperament : 17&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1202.620 cents degrees: 108 205 generator: 97 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : LS Scale is a Constant Structure, by a margin of 569.05000 cents Scale diversity : 1.143249 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.946350 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Steps are strictly decreasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 64.5200 cents: 1 Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 22.8113 c. M: 32.2600 c. 11: 6 5 SP M ME SD: 15.8424 c. M:-22.4045 c. 13: 7 6 SP M ME SD: 9.8957 c. M:-13.9946 c. 15: 8 7 SP M ME SD: 5.5348 c. M:-7.8273 c. 17: 9 8 SP M ME SD: 2.1999 c. M:-3.1112 c. 19: 10 9 SP M ME SD: 0.4328 c. M: 0.6121 c. 55: 29 26 SP M DE SD: 0.3809 c. M:-0.5387 c. 74: 39 35 SP M DE SD: 0.1720 c. M:-0.2432 c. 93: 49 44 SP M DE SD: 0.0484 c. M:-0.0685 c. 112: 59 53 SP M DE SD: 0.0332 c. M: 0.0470 c. 205: 108 97 SP M DE SD: 0.0038 c. M:-0.0054 c. 727: 383 344 SP M DE SD: 0.0019 c. M: 0.0027 c. 932: 491 441 SP M DE SD: 0.0006 c. M: 0.0009 c. 1137: 599 538 SP M DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x 2 S SD: 2.6200 cents 9:13:18 SD: 2.0095 cents 25:36:50 SD: 1.7390 cents 34:49:68 SD: 1.3809 cents 43:62:86 SD: 1.3103 cents 170:245:341 SD: 1.3073 cents 172:248:345 SD: 1.2030 cents 179:258:359 SD: 1.1551 cents 181:261:363 SD: 1.0791 cents 188:271:377 SD: 1.0199 cents 190:274:381 SD: 0.9725 cents 197:284:395 SD: 0.9000 cents 199:287:399 SD: 0.8817 cents 206:297:413 SD: 0.7940 cents 215:310:431 SD: 0.7012 cents 222:320:445 SD: 0.6952 cents 224:323:449 SD: 0.6211 cents 231:333:463 SD: 0.5987 cents 233:336:467 SD: 0.5536 cents 240:346:481 SD: 0.5117 cents 242:349:485 SD: 0.4988 cents 249:359:499 SD: 0.4343 cents 258:372:517 SD: 0.3669 cents 267:385:535 SD: 0.3106 cents 276:398:553 SD: 0.2675 cents 283:408:567 SD: 0.2512 cents 285:411:571 SD: 0.2400 cents 292:421:585 SD: 0.1862 cents 301:434:603 SD: 0.1294 cents 310:447:621 SD: 0.0871 cents 319:460:639 SD: 0.0766 cents 335:483:671 SD: 0.0704 cents 344:496:689 SD: 0.0588 cents