Scala analysis: edo-04
4 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 300.000 cents 300.000000 2: 600.000 cents 600.000000 3: 900.000 cents 900.000000 4: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 300.0000 cents 300.0000 1: 300.0000 cents 300.0000 2: 300.0000 cents 300.0000 3: 300.0000 cents 300.0000 4: 300.0000 cents 300.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 300.00000 cents 2: 4 600.00000 cents 3: 4 900.00000 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 4 0.0 : 300.0 600.0 900.0 1200.0 300.0 : 300.0 600.0 900.0 1200.0 600.0 : 300.0 600.0 900.0 1200.0 900.0 : 300.0 600.0 900.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 300.0000 .. 300.0000 cents 1/1, 0.0000 cents 300.00000 cents 2: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 300.00000 cents 3: 900.0000 .. 900.0000 cents 1/1, 0.0000 cents 300.00000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 300.00000 cents, class 1 Average step (divided formal octave): 300.0000 cents Largest one step interval : 300.00000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 300.00000 cents, amount: 4 Most common interval of one step : 300.00000 cents, amount: 4 Least squares average step : 300.00000 cents, oct.: 1200.00000 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 300.00000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 1.000000 Number of different interval sizes : 3 = 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 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
4: 1 1 1 1 SP B ME I SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.0000 cents 2 x 3 x 4 S SD: 50.9775 cents 3 x 4:5:6 S SD: 34.3826 cents 5:6:7:8:10 S SD: 22.3614 cents 7:8:10:12:14 S SD: 19.5901 cents 9:11:13:15:18 SD: 15.4778 cents 10:12:14:17:20 SD: 7.4916 cents 15:18:21:25:30 SD: 7.0495 cents 21:25:30:35:42 SD: 5.8837 cents 22:26:31:37:44 SD: 3.1215 cents 31:37:44:52:62 SD: 2.4948 cents 41:49:58:69:82 SD: 2.1709 cents 48:57:68:81:96 SD: 1.7604 cents 53:63:75:89:106 SD: 0.7349 cents 63:75:89:106:126 SD: 0.6821 cents 116:138:164:195:232 SD: 0.2850 cents 217:258:307:365:434 SD: 0.1992 cents 280:333:396:471:560 SD: 0.0970 cents 333:396:471:560:666 SD: 0.0681 cents