6L 19s

↖ 5L 18s	↑ 6L 18s	7L 18s ↗
← 5L 19s	6L 19s	7L 19s →
↙ 5L 20s	↓ 6L 20s	7L 20s ↘

┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┬┐ │║│││║│││║│││║│││║│││║│││││ │││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLsssLsssLsssLsssLssss ssssLsssLsssLsssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\25 to 1\6 (192.0 ¢ to 200.0 ¢)
Dark	5\6 to 21\25 (1000.0 ¢ to 1008.0 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	6L 13s
Sister	19L 6s
Daughters	25L 6s, 6L 25s
Neutralized	12L 13s
2-Flought	31L 19s, 6L 44s
Equal tunings
Equalized (L:s = 1:1)	4\25 (192.0 ¢)
Supersoft (L:s = 4:3)	13\81 (192.6 ¢)
Soft (L:s = 3:2)	9\56 (192.9 ¢)
Semisoft (L:s = 5:3)	14\87 (193.1 ¢)
Basic (L:s = 2:1)	5\31 (193.5 ¢)
Semihard (L:s = 5:2)	11\68 (194.1 ¢)
Hard (L:s = 3:1)	6\37 (194.6 ¢)
Superhard (L:s = 4:1)	7\43 (195.3 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)

6L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 19 small steps, repeating every octave. 6L 19s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 192 ¢ to 200 ¢, or from 1000 ¢ to 1008 ¢.

This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 ¢), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).

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 19s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\25						192.000	1008.000	1:1	1.000	Equalized 6L 19s
					21\131	192.366	1007.634	6:5	1.200
				17\106		192.453	1007.547	5:4	1.250
					30\187	192.513	1007.487	9:7	1.286
			13\81			192.593	1007.407	4:3	1.333	Supersoft 6L 19s
					35\218	192.661	1007.339	11:8	1.375
				22\137		192.701	1007.299	7:5	1.400
					31\193	192.746	1007.254	10:7	1.429
		9\56				192.857	1007.143	3:2	1.500	Soft 6L 19s
					32\199	192.965	1007.035	11:7	1.571
				23\143		193.007	1006.993	8:5	1.600
					37\230	193.043	1006.957	13:8	1.625
			14\87			193.103	1006.897	5:3	1.667	Semisoft 6L 19s
					33\205	193.171	1006.829	12:7	1.714
				19\118		193.220	1006.780	7:4	1.750
					24\149	193.289	1006.711	9:5	1.800
	5\31					193.548	1006.452	2:1	2.000	Basic 6L 19s Scales with tunings softer than this are proper
					21\130	193.846	1006.154	9:4	2.250
				16\99		193.939	1006.061	7:3	2.333
					27\167	194.012	1005.988	12:5	2.400
			11\68			194.118	1005.882	5:2	2.500	Semihard 6L 19s
					28\173	194.220	1005.780	13:5	2.600
				17\105		194.286	1005.714	8:3	2.667
					23\142	194.366	1005.634	11:4	2.750
		6\37				194.595	1005.405	3:1	3.000	Hard 6L 19s
					19\117	194.872	1005.128	10:3	3.333
				13\80		195.000	1005.000	7:2	3.500
					20\123	195.122	1004.878	11:3	3.667
			7\43			195.349	1004.651	4:1	4.000	Superhard 6L 19s
					15\92	195.652	1004.348	9:2	4.500
				8\49		195.918	1004.082	5:1	5.000
					9\55	196.364	1003.636	6:1	6.000
1\6						200.000	1000.000	1:0	→ ∞	Collapsed 6L 19s