5L 1s
| ← 4L 1s | 5L 1s | 6L 1s → |
| ↙ 4L 2s | ↓ 5L 2s | 6L 2s ↘ |
┌╥╥╥╥╥┬┐ │║║║║║││ ││││││││ └┴┴┴┴┴┴┘
Scale structure
sLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
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.
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 | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\6 | 200.000 | 1 | 1 | 1.000 | ||||||
| 6\35 | 205.714 | 6 | 5 | 1.200 | Quadrimage↑ | |||||
| 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 | 1.429 | ||||||
| 3\17 | 211.765 | 3 | 2 | 1.500 | ||||||
| 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 (213.5979¢) | |||||
| 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 | Golden kumonga (222.9668¢) | |||||
| 8\43 | 223.256 | 8 | 3 | 2.667 | ||||||
| 11\59 | 223.729 | 11 | 4 | 2.750 | ||||||
| 3\16 | 224.000 | 3 | 1 | 3.000 | 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 | ||||||