6L 5s

↖ 5L 4s	↑ 6L 4s	7L 4s ↗
← 5L 5s	6L 5s	7L 5s →
↙ 5L 6s	↓ 6L 6s	7L 6s ↘

┌╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLs sLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\11 to 5\6 (981.8 ¢ to 1000.0 ¢)
Dark	1\6 to 2\11 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	5L 1s
Sister	5L 6s
Daughters	11L 6s, 6L 11s
Neutralized	1L 10s
2-Flought	17L 5s, 6L 16s
Equal tunings
Equalized (L:s = 1:1)	9\11 (981.8 ¢)
Supersoft (L:s = 4:3)	32\39 (984.6 ¢)
Soft (L:s = 3:2)	23\28 (985.7 ¢)
Semisoft (L:s = 5:3)	37\45 (986.7 ¢)
Basic (L:s = 2:1)	14\17 (988.2 ¢)
Semihard (L:s = 5:2)	33\40 (990.0 ¢)
Hard (L:s = 3:1)	19\23 (991.3 ¢)
Superhard (L:s = 4:1)	24\29 (993.1 ¢)
Collapsed (L:s = 1:0)	5\6 (1000.0 ¢)

6L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 5 small steps, repeating every octave. 6L 5s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 981.8 ¢ to 1000 ¢, or from 200 ¢ to 218.2 ¢.

This MOS has a harmonic entropy minimum (Baldy) which is highly improper (L = 8, s = 1) in an optimal tuning, However, its saving grace is that it at least has index 2 in syntonic temperaments with wide fifths like superpyth (2.3.7) and pentacircle (2.3.11/7.13/11)^{[clarification needed]}.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 6L 5s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\11						981.818	218.182	1:1	1.000	Equalized 6L 5s
					50\61	983.607	216.393	6:5	1.200
				41\50		984.000	216.000	5:4	1.250
					73\89	984.270	215.730	9:7	1.286
			32\39			984.615	215.385	4:3	1.333	Supersoft 6L 5s
					87\106	984.906	215.094	11:8	1.375
				55\67		985.075	214.925	7:5	1.400
					78\95	985.263	214.737	10:7	1.429
		23\28				985.714	214.286	3:2	1.500	Soft 6L 5s
					83\101	986.139	213.861	11:7	1.571
				60\73		986.301	213.699	8:5	1.600
					97\118	986.441	213.559	13:8	1.625
			37\45			986.667	213.333	5:3	1.667	Semisoft 6L 5s
					88\107	986.916	213.084	12:7	1.714
				51\62		987.097	212.903	7:4	1.750
					65\79	987.342	212.658	9:5	1.800
	14\17					988.235	211.765	2:1	2.000	Basic 6L 5s Scales with tunings softer than this are proper
					61\74	989.189	210.811	9:4	2.250
				47\57		989.474	210.526	7:3	2.333
					80\97	989.691	210.309	12:5	2.400
			33\40			990.000	210.000	5:2	2.500	Semihard 6L 5s
					85\103	990.291	209.709	13:5	2.600
				52\63		990.476	209.524	8:3	2.667
					71\86	990.698	209.302	11:4	2.750
		19\23				991.304	208.696	3:1	3.000	Hard 6L 5s
					62\75	992.000	208.000	10:3	3.333
				43\52		992.308	207.692	7:2	3.500
					67\81	992.593	207.407	11:3	3.667
			24\29			993.103	206.897	4:1	4.000	Superhard 6L 5s
					53\64	993.750	206.250	9:2	4.500
				29\35		994.286	205.714	5:1	5.000
					34\41	995.122	204.878	6:1	6.000
5\6						1000.000	200.000	1:0	→ ∞	Collapsed 6L 5s