5L 1s
| ←4L 1s | 5L 1s | 6L 1s→ |
| ↙4L 2s | ↓5L 2s | 6L 2s↘ |
┌╥╥╥╥╥┬┐ │║║║║║││ ││││││││ └┴┴┴┴┴┴┘
sLLLLL
5L 6s
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 scale can be seen as the equal-tempered whole-tone scale (6edo), but with one "whole tone" that is smaller than the others.
Name
TAMNAMS suggests the temperament-agnostic name machinoid, from machine temperament.
Theory
Low harmonic entropy scales
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.
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 | Rotational order | Step pattern | Mode names |
|---|---|---|---|
| 5|0 | 1 | LLLLLs | Erev |
| 4|1 | 2 | LLLLsL | Oplen |
| 3|2 | 3 | LLLsLL | Layla |
| 2|3 | 4 | LLsLLL | Shemesh |
| 1|4 | 5 | LsLLLL | Boqer |
| 0|5 | 6 | sLLLLL | Tsohorayim |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments(Always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\6 | 200.000 | 1000.000 | 1:1 | 1.000 | Equalized 5L 1s | |||||
| 6\35 | 205.714 | 994.286 | 6:5 | 1.200 | Quadrimage↑ | |||||
| 5\29 | 206.897 | 993.103 | 5:4 | 1.250 | ||||||
| 9\52 | 207.692 | 992.308 | 9:7 | 1.286 | ||||||
| 4\23 | 208.696 | 991.304 | 4:3 | 1.333 | Supersoft 5L 1s | |||||
| 11\63 | 209.524 | 990.476 | 11:8 | 1.375 | ||||||
| 7\40 | 210.000 | 990.000 | 7:5 | 1.400 | ||||||
| 10\57 | 210.526 | 989.474 | 10:7 | 1.429 | ||||||
| 3\17 | 211.765 | 988.235 | 3:2 | 1.500 | Soft 5L 1s | |||||
| 11\62 | 212.903 | 987.097 | 11:7 | 1.571 | ||||||
| 8\45 | 213.333 | 986.667 | 8:5 | 1.600 | ||||||
| 13\73 | 213.699 | 986.301 | 13:8 | 1.625 | Golden machine (213.5979¢) | |||||
| 5\28 | 214.286 | 985.714 | 5:3 | 1.667 | Semisoft 5L 1s | |||||
| 12\67 | 214.925 | 985.075 | 12:7 | 1.714 | ||||||
| 7\39 | 215.385 | 984.615 | 7:4 | 1.750 | ||||||
| 9\50 | 216.000 | 984.000 | 9:5 | 1.800 | ||||||
| 2\11 | 218.182 | 981.818 | 2:1 | 2.000 | Basic 5L 1s | |||||
| 9\49 | 220.408 | 979.592 | 9:4 | 2.250 | ||||||
| 7\38 | 221.053 | 978.947 | 7:3 | 2.333 | ||||||
| 12\65 | 221.538 | 978.462 | 12:5 | 2.400 | ||||||
| 5\27 | 222.222 | 977.778 | 5:2 | 2.500 | Semihard 5L 1s | |||||
| 13\70 | 222.857 | 977.143 | 13:5 | 2.600 | Golden kumonga (222.9668¢) | |||||
| 8\43 | 223.256 | 976.744 | 8:3 | 2.667 | ||||||
| 11\59 | 223.729 | 976.271 | 11:4 | 2.750 | ||||||
| 3\16 | 225.000 | 975.000 | 3:1 | 3.000 | Hard 5L 1s Clyndro | |||||
| 10\53 | 226.415 | 973.585 | 10:3 | 3.333 | ||||||
| 7\37 | 227.027 | 972.973 | 7:2 | 3.500 | Laconic | |||||
| 11\58 | 227.586 | 972.414 | 11:3 | 3.667 | ||||||
| 4\21 | 228.571 | 971.429 | 4:1 | 4.000 | Superhard 5L 1s Gorgo | |||||
| 9\47 | 229.787 | 970.213 | 9:2 | 4.500 | ||||||
| 5\26 | 230.769 | 969.231 | 5:1 | 5.000 | Gidorah | |||||
| 6\31 | 232.258 | 967.742 | 6:1 | 6.000 | Slendric↓ | |||||
| 1\5 | 240.000 | 960.000 | 1:0 | → ∞ | Collapsed 5L 1s | |||||