Scala analysis: edo-05
5 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 240.000 cents 240.000000 2: 480.000 cents 480.000000 3: 720.000 cents 720.000000 4: 960.000 cents 960.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 240.0000 cents 240.0000 1: 240.0000 cents 240.0000 2: 240.0000 cents 240.0000 3: 240.0000 cents 240.0000 4: 240.0000 cents 240.0000 5: 240.0000 cents 240.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 240.00000 cents 2: 5 480.00000 cents 3: 5 720.00000 cents 4: 5 960.00000 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 5 0.0 : 240.0 480.0 720.0 960.0 1200.0 240.0 : 240.0 480.0 720.0 960.0 1200.0 480.0 : 240.0 480.0 720.0 960.0 1200.0 720.0 : 240.0 480.0 720.0 960.0 1200.0 960.0 : 240.0 480.0 720.0 960.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 240.0000 .. 240.0000 cents 1/1, 0.0000 cents 240.00000 cents 2: 480.0000 .. 480.0000 cents 1/1, 0.0000 cents 240.00000 cents 3: 720.0000 .. 720.0000 cents 1/1, 0.0000 cents 240.00000 cents 4: 960.0000 .. 960.0000 cents 1/1, 0.0000 cents 240.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 240.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 240.00000 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 240.00000 cents, amount: 5 Most common interval of one step : 240.00000 cents, amount: 5 Least squares average step : 240.00000 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 240.00000 cents Ratio Whole / Half tone : infinite Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.200000 redundancy: 0.800000 Efficiency x scale size : 1.000000 Number of different interval sizes : 4 = 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 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
5: 1 1 1 1 1 SP B ME I SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 9.0225 cents 3 x 4 x 5:6 S SD: 25.9213 cents 4 x 5:6:7:8 S SD: 23.9539 cents 6:7:8:9:10:12 S SD: 16.8462 cents 7:8:9:11:12:14 SD: 16.3983 cents 12:14:16:18:21:24 S SD: 7.6189 cents 15:17:20:23:26:30 SD: 7.2919 cents 19:22:25:29:33:38 SD: 3.8883 cents 27:31:36:41:47:54 SD: 3.6697 cents 34:39:45:52:59:68 SD: 3.5203 cents 35:40:46:53:61:70 SD: 2.2869 cents 41:47:54:62:71:82 SD: 2.2521 cents 47:54:62:71:82:94 SD: 1.3675 cents 62:71:82:94:108:124 SD: 1.3510 cents 66:76:87:100:115:132 SD: 0.9624 cents 81:93:107:123:141:162 SD: 0.7695 cents 116:133:153:176:202:232 SD: 0.7510 cents 128:147:169:194:223:256 SD: 0.3128 cents 235:270:310:356:409:470 SD: 0.2597 cents 297:341:392:450:517:594 SD: 0.2411 cents 310:356:409:470:540:620 SD: 0.2164 cents 316:363:417:479:550:632 SD: 0.1248 cents 444:510:586:673:773:888 SD: 0.0868 cents 545:626:719:826:949:1090 SD: 0.0813 cents