5L 1s

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←4L 1s5L 1s6L 1s→
↙4L 2s↓5L 2s 6L 2s↘
Brightest mode LLLLLs
Period 2/1
Range for bright generator 1\6 (200¢) to 1\5 (240¢)
Range for dark generator 4\5 (960¢) to 5\6 (1000¢)
TAMNAMS name machinoid
TAMNAMS prefix mech-
Parent MOS 1L 4s
Sister MOS 1L 5s
Daughter MOSes 6L 5s, 5L 6s
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¢)
Superhard (L:s = 4:1) 4\21 (228.6¢)

5L 1s, also called machinoid, is a moment of symmetry scale consisting of 5 large steps and 1 small step, repeating every octave. This scale is made using a generator ranging from 200¢ to 240¢, or from 960¢ to 1000¢.

This scale can be seen as the equal-tempered whole-tone scale (6edo), but with one "whole tone" that is smaller than the others.

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.

Modes

These mode names are advocated by Lilly Flores.

He noted the frequent use of this scale in 31EDO, and further pointed out that the monstrosity Mothra derives from a moth. It was also named using Hebrew, the language that would be geographically closest to Egyptian language, where the machine was first invented. Hence, these names are Hebrew for the time beginning with 'night' when moths fly around.

Modes of 5L 1s
UDP Step pattern Mode names
5|0 LLLLLs Erev
4|1 LLLLsL Oplen
3|2 LLLsLL Layla
2|3 LLsLLL Shemesh
1|4 LsLLLL Boqer
0|5 sLLLLL Tsohorayim

Scale tree

Generator ranges:

  • Chroma-positive generator: 200 cents (1\6) to 240 cents (1\5)
  • Chroma-negative generator: 960 cents (4\5) to 1000 cents (5\6)
Generator Cents Remainder L s L/s Comments
1\6 200.000 200.000 1 1 1.000
6\35 205.714 171.429 6 5 1.200 Quadrimage
5\29 206.897 165.517 5 4 1.250
9\52 207.692 161.538 9 7 1.286
4\23 208.696 156.521 4 3 1.333
11\63 209.524 152.381 11 8 1.375
7\40 210.000 150.000 7 5 1.400
10\57 210.528 147.368 10 7 1.429
3\17 211.765 141.118 3 2 1.500
11\62 212.903 135.484 11 7 1.571
8\45 213.333 133.333 8 5 1.600
13\73 213.699 131.507 13 8 1.625 Golden machine (213.5979¢)
5\28 214.286 128.571 5 3 1.667 Machine
12\67 214.925 125.373 12 7 1.714
7\39 215.385 123.077 7 4 1.750
9\50 216.000 120.000 9 5 1.800
2\11 218.182 109.091 2 1 2.000 Basic machinoid
9\49 220.408 97.959 9 4 2.250
7\38 221.053 94.737 7 3 2.333
12\65 221.538 92.308 12 5 2.400
5\27 222.222 88.889 5 2 2.500
13\70 222.857 85.714 13 5 2.600 Golden kumonga (222.9668¢)
8\43 223.256 83.721 8 3 2.667
11\59 223.729 81.356 11 4 2.750
3\16 224.000 75.000 3 1 3.000 Clyndro
10\53 226.415 67.925 10 3 3.333
7\37 227.027 64.865 7 2 3.500 Laconic
11\58 227.586 62.069 11 3 3.667
4\21 228.571 57.143 4 1 4.000 Gorgo
9\47 229.787 51.064 9 2 4.500
5\26 230.769 46.154 5 1 5.000 Gidorah
6\31 232.258 38.710 6 1 6.000 Slendric
1\5 240.000 0.000 1 0 → inf