5L 1s

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5L 1s
Pattern LLLLLs
Period 2/1
Generator range 1\6 (200.0¢) to 1\5 (240.0¢)
Parent MOS 1L 4s
Daughter MOSes 6L 5s, 5L 6s
Sister MOS 1L 5s
TAMNAMS name machinoid
Equal tunings
Supersoft (L:s = 4:3) 4\23 (208.7¢)
Soft (L:s = 3:2) 3\17 (211.8¢)
Semisoft (L:s = 5:3) 5\28 (214.3¢)
Basic (L:s = 2:1) 2\11 (218.2¢)
Semihard (L:s = 5:2) 5\27 (222.2¢)
Hard (L:s = 3:1) 3\16 (225.0¢)
Superhard (L:s = 4:1) 4\21 (228.6¢)

5L 1s refers to MOS scales with 5 large steps and 1 small step. When L=s we have 6edo, the equal-tempered "whole tone scale" of impressionistic fame. At the other end of the spectrum, we approach 5edo, with five equal whole tones of 240 cents. In between, we find relatively even hexatonic scales with one irregularity: a "whole tone" which is smaller than all the others — perhaps not a "whole tone" at all.

The only notable low-harmonic-entropy scale with this MOS pattern is slendric, in which the large step is 8/7 and three of them make a 3/2.

Scales with this pattern are always proper, because there is only one small step.

Scale tree

Generator Cents L s L/s Comments
1\6 200.000 1 1 1.000
6\35 205.714 6 5 1.200
5\29 206.897 5 4 1.250
9\52 207.692 9 7 1.286
4\23 208.696 4 3 1.333
11\63 209.524 11 8 1.375
7\40 210.000 7 5 1.400
10\57 210.528 10 7 1.428
3\17 211.765 3 2 1.500 L/s = 3/2
11\62 212.903 11 7 1.571
8\45 213.333 8 5 1.600
13\73 213.699 13 8 1.625 Golden machine
5\28 214.286 5 3 1.667 Machine
12\67 214.925 12 7 1.714
7\39 215.385 7 4 1.750
9\50 216.000 9 5 1.800
2\11 218.182 2 1 2.000 Basic machinoid
9\49 220.408 9 4 2.250
7\38 221.053 7 3 2.333
12\65 221.538 12 5 2.400
5\27 222.222 5 2 2.500
13\70 222.857 13 5 2.600 Unnamed golden tuning
8\43 223.256 8 3 2.667
11\59 223.729 11 4 2.750
3\16 224.000 3 1 3.000 L/s = 3/1, clyndro
10\53 226.415 10 3 3.333
7\37 227.027 7 2 3.500 Laconic
11\58 227.586 11 3 3.667
4\21 228.571 4 1 4.000 Gorgo
9\47 229.787 9 2 4.500
5\26 230.769 5 1 5.000 Gidorah
6\31 232.258 6 1 6.000 Slendric↓
1\5 240.000 1 0 → inf