5L 1s

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

┌╥╥╥╥╥┬┐ │║║║║║││ ││││││││ └┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLs sLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\6 to 1\5 (200.0 ¢ to 240.0 ¢)
Dark	4\5 to 5\6 (960.0 ¢ to 1000.0 ¢)
TAMNAMS information
Name	machinoid
Prefix	mech-
Abbrev.	mk
Related MOS scales
Parent	1L 4s
Sister	1L 5s
Daughters	6L 5s, 5L 6s
Neutralized	4L 2s
2-Flought	11L 1s, 5L 7s
Equal tunings
Equalized (L:s = 1:1)	1\6 (200.0 ¢)
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 (225.0 ¢)
Superhard (L:s = 4:1)	4\21 (228.6 ¢)
Collapsed (L:s = 1:0)	1\5 (240.0 ¢)

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.

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	Cyclic order	Step pattern
5|0	1	LLLLLs
4|1	2	LLLLsL
3|2	3	LLLsLL
2|3	4	LLsLLL
1|4	5	LsLLLL
0|5	6	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