5L 1s
| ←4L 1s | 5L 1s | 6L 1s→ |
| ↙4L 2s | ↓5L 2s | 6L 2s↘ |
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.
| 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 | ||||||