5L 1s

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

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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.

Name

TAMNAMS suggests the temperament-agnostic name machinoid, from the temperament machine.

Intervals

Intervals of 5L 1s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mechstep	Perfect 0-mechstep	P0mks	0	0.0¢
1-mechstep	Diminished 1-mechstep	d1mks	s	0.0¢ to 200.0¢
	Perfect 1-mechstep	P1mks	L	200.0¢ to 240.0¢
2-mechstep	Minor 2-mechstep	m2mks	L + s	240.0¢ to 400.0¢
	Major 2-mechstep	M2mks	2L	400.0¢ to 480.0¢
3-mechstep	Minor 3-mechstep	m3mks	2L + s	480.0¢ to 600.0¢
	Major 3-mechstep	M3mks	3L	600.0¢ to 720.0¢
4-mechstep	Minor 4-mechstep	m4mks	3L + s	720.0¢ to 800.0¢
	Major 4-mechstep	M4mks	4L	800.0¢ to 960.0¢
5-mechstep	Perfect 5-mechstep	P5mks	4L + s	960.0¢ to 1000.0¢
	Augmented 5-mechstep	A5mks	5L	1000.0¢ to 1200.0¢
6-mechstep	Perfect 6-mechstep	P6mks	5L + s	1200.0¢

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

Scale degrees of the modes of 5L 1s 

UDP	Cyclic order	Step pattern	Scale degree (mechdegree)
			0	1	2	3	4	5	6
5|0	1	LLLLLs	Perf.	Perf.	Maj.	Maj.	Maj.	Aug.	Perf.
4|1	2	LLLLsL	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.	Perf.
3|2	3	LLLsLL	Perf.	Perf.	Maj.	Maj.	Min.	Perf.	Perf.
2|3	4	LLsLLL	Perf.	Perf.	Maj.	Min.	Min.	Perf.	Perf.
1|4	5	LsLLLL	Perf.	Perf.	Min.	Min.	Min.	Perf.	Perf.
0|5	6	sLLLLL	Perf.	Dim.	Min.	Min.	Min.	Perf.	Perf.

Proposed Names

Names for the modes have been proposed 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	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

Scale Tree and Tuning Spectrum of 5L 1s

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