Scala analysis: xen18-erlich-lemba-04
2L 2s MOS for Lemba, L=370.83, s=230.87
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 370.830 cents 370.830000 2: 601.700 cents 601.700000 3: 972.530 cents 972.530000 4: 1203.400 cents 1203.400000
SHOW/INTERVAL
0: 230.8700 cents 230.8700 1: 370.8300 cents 370.8300 2: 230.8700 cents 230.8700 3: 370.8300 cents 370.8300 4: 230.8700 cents 230.8700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 230.87000 cents 1: 2 370.83000 cents 2: 4 601.70000 cents 3: 2 832.57000 cents 3: 2 972.53000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.66667 = 5/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 370.8 601.7 972.5 1203.4 370.8 : 230.9 601.7 832.6 1203.4 601.7 : 370.8 601.7 972.5 1203.4 972.5 : 230.9 601.7 832.6 1203.4 1203.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 230.8700 .. 370.8300 cents 139.96000 cents 230.87000 cents 2: 601.7000 .. 601.7000 cents 1/1, 0.0000 cents 230.87000 cents 3: 832.5700 .. 972.5300 cents 139.96000 cents 230.87000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 230.87000 cents, class 1 Average step (divided formal octave): 300.8500 cents Largest one step interval : 370.83000 cents Average / Smallest step : 1.303114 Largest / Average step : 1.232608 Largest / Smallest step : 1.606229 Median interval of one step : 300.85000 cents, amount: 0 Least squares average step : 310.18067 cents, oct.: 1240.72267 cents Scale is strictly proper Scale has 2 repeating blocks of 2 notes Blocks have Myhill's property chromas: 139.96000 cents and 90.91000 cents, ratio: 1.539545 generator: 230.87000 cents ET pair of linear temperament : 26&146 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 834-tone equal temperament with octave 1203.400 cents degrees: 257 417 674 834 Least number of segments generator : 419 of 604.586 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 577 of 832.568 cents and inv. generated superset size: 419 = 415 more = 10475.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAB Step pattern size order : LSLS Scale is a Constant Structure, by a margin of 230.87000 cents Scale diversity : 1.255759 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.767392 Rothenberg efficiency (ambiguous key): 1.000000 redundancy: 0.000000 Efficiency x scale size : 4.000000 Number of different interval sizes : 5 = 1.66667 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.66667 = 5/3 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 139.96000 cents Most common intervals : 601.70000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 370.830 601.700 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 2 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 2 Limited inverse transpositions : 1 3 Inversional symmetry on intervals : 0-1 1-2 2-3 3-4 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 49.4833 c. M: 69.9800 c. 6: 2 1 2 1 SP B ME SD: 21.4277 c. M:-30.3033 c. Messiaen truncated mode 6 inverse 10: 3 2 3 2 SP B ME SD: 6.9367 c. M: 9.8100 c. 16: 5 3 5 3 SP B DE SD: 3.6999 c. M:-5.2325 c. 26: 8 5 8 5 SP B DE SD: 0.3911 c. M: 0.5531 c. 94: 29 18 29 18 SP B DE SD: 0.3053 c. M:-0.4317 c. 120: 37 23 37 23 SP B DE SD: 0.1544 c. M:-0.2183 c. 146: 45 28 45 28 SP B DE SD: 0.0572 c. M:-0.0810 c. 172: 53 33 53 33 SP B DE SD: 0.0105 c. M: 0.0149 c. 490: 151 94 151 94 SP B DE SD: 0.0097 c. M:-0.0137 c. 662: 204 127 204 127 SP B DE SD: 0.0044 c. M:-0.0063 c. 834: 257 160 257 160 SP B DE SD: 0.0013 c. M:-0.0019 c. 1006: 310 193 310 193 SP B DE SD: 0.0007 c. M: 0.0010 c. 1840: 567 353 567 353 SP B DE SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x x 2 S SD: 3.4000 cents 2 x 3 x 4 S SD: 50.1563 cents 3 x 4:5:6 S SD: 45.3751 cents 4:5:6:7:8 H SD: 25.3920 cents 5:6:7:9:10 SD: 18.4670 cents 8:10:11:14:16 SD: 13.2367 cents 9:11:13:16:18 SD: 12.0791 cents 12:15:17:21:24 SD: 4.0829 cents 17:21:24:30:34 SD: 3.3070 cents 29:36:41:51:58 SD: 1.7994 cents 72:89:102:126:144 SD: 1.6177 cents 84:104:119:147:168 SD: 1.3263 cents 96:119:136:168:192 SD: 1.3220 cents 101:125:143:177:202 SD: 1.0082 cents 113:140:160:198:226 SD: 0.9364 cents 130:161:184:228:261 SD: 0.8270 cents 142:176:201:249:285 SD: 0.7029 cents 159:197:225:279:319 SD: 0.5849 cents 171:212:242:300:343 SD: 0.5555 cents 214:265:303:375:429 SD: 0.4381 cents 226:280:320:396:453 SD: 0.4070 cents 231:286:327:405:463 SD: 0.3099 cents 243:301:344:426:487 SD: 0.1807 cents 260:322:368:456:521 SD: 0.1605 cents 272:337:385:477:545 SD: 0.0838 cents