Scala analysis: xen18-erlich-augmented-03
3L MOS for Augmented, L=399.02
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 399.020 cents 399.020000 2: 798.040 cents 798.040000 3: 1197.060 cents 1197.060000
SHOW/INTERVAL
0: 399.0200 cents 399.0200 1: 399.0200 cents 399.0200 2: 399.0200 cents 399.0200 3: 399.0200 cents 399.0200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 399.02000 cents 2: 3 798.04000 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 399.0 798.0 1197.1 399.0 : 399.0 798.0 1197.1 798.0 : 399.0 798.0 1197.1 1197.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 399.0200 .. 399.0200 cents 1/1, 0.0000 cents 399.02000 cents 2: 798.0400 .. 798.0400 cents 1/1, 0.0000 cents 399.02000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 399.02000 cents, class 1 Average step (divided formal octave): 399.0200 cents Largest one step interval : 399.02000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 399.02000 cents, amount: 3 Most common interval of one step : 399.02000 cents, amount: 3 Least squares average step : 399.02000 cents, oct.: 1197.06000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 399.02000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 1.000000 Number of different interval sizes : 2 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 2.9400 cents 2 x 3:4 S SD: 48.0650 cents 3:4:5:6 H SD: 43.7994 cents 4:5:6:8 S SD: 32.3220 cents 5:6:8:10 S SD: 28.2950 cents 7:9:11:14 SD: 13.1276 cents 12:15:19:24 SD: 4.4254 cents 19:24:30:38 SD: 3.1816 cents 27:34:43:54 SD: 2.7203 cents 31:39:49:62 SD: 2.1222 cents 46:58:73:92 SD: 1.3346 cents 58:73:92:116 SD: 1.0397 cents 135:170:214:270 SD: 0.9921 cents 162:204:257:323 SD: 0.8571 cents 174:219:276:347 SD: 0.7640 cents 181:228:287:361 SD: 0.6515 cents 193:243:306:385 SD: 0.5226 cents 212:267:336:423 SD: 0.4711 cents 220:277:349:439 SD: 0.4359 cents 239:301:379:477 SD: 0.2548 cents 251:316:398:501 SD: 0.2049 cents 270:340:428:539 SD: 0.1787 cents 297:374:471:593 SD: 0.0956 cents 567:714:899:1132 SD: 0.0514 cents