5L 1s
| ← 4L 1s | 5L 1s | 6L 1s → |
| ↙ 4L 2s | ↓ 5L 2s | 6L 2s ↘ |
┌╥╥╥╥╥┬┐ │║║║║║││ ││││││││ └┴┴┴┴┴┴┘
sLLLLL
5L 1s, named machinoid in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 200 ¢ to 240 ¢, or from 960 ¢ to 1000 ¢. Scales of this form are always proper because there is only one small step. This MOS scale, in its equalized form (L=s) produces 6edo, or the equal-tempered whole-tone scale, and in its collapsed form (L=1, s=0), produces 5edo. In between these extremes are relatively even hexatonic scales with one "whole tone" which is smaller than 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.
Modes
- 5|0 LLLLLs
- 4|1 LLLLsL
- 3|2 LLLsLL
- 2|3 LLsLLL
- 1|4 LsLLLL
- 0|5 sLLLLL
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 | ||||||