2L 20s

↖ 1L 19s ↑ 2L 19s 3L 19s ↗

← 1L 20s 2L 20s 3L 20s →

↙ 1L 21s ↓ 2L 21s 3L 21s ↘
	Scale structure
Step pattern	LssssssssssLssssssssss; ssssssssssLssssssssssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
	Generator size
Bright	10\22 to 1\2 (545.5 ¢ to 600.0 ¢)
Dark	0\2 to 1\22 (0.0 ¢ to 54.5 ¢)
	TAMNAMS information
Related to	2L 8s (jaric)
With tunings	7:1 to 1:0
	Related MOS scales
Parent	2L 18s
Sister	20L 2s
Daughters	22L 2s, 2L 22s
Neutralized	4L 18s
2-Flought	24L 20s, 2L 42s
	Equal tunings
Equalized (L:s = 1:1)	10\22 (545.5 ¢)
Supersoft (L:s = 4:3)	31\68 (547.1 ¢)
Soft (L:s = 3:2)	21\46 (547.8 ¢)
Semisoft (L:s = 5:3)	32\70 (548.6 ¢)
Basic (L:s = 2:1)	11\24 (550.0 ¢)
Semihard (L:s = 5:2)	23\50 (552.0 ¢)
Hard (L:s = 3:1)	12\26 (553.8 ¢)
Superhard (L:s = 4:1)	13\28 (557.1 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 20s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 20 small steps, with a period of 1 large step and 10 small steps that repeats every 600.0 ¢, or twice every octave. 2L 20s is related to 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 545.5 ¢ to 600 ¢, or from 0 ¢ to 54.5 ¢. Its generator is no larger than the 'diatonic' quarter tone 1/22edo (54.5455 cents) and it is the quarter tone scale of Shrutar temperament.

1/22								54.5455
							7/156	53.846
						6/134		53.731
					5/112			53.571
				4/90				53.333
			3/68					52.941
				5/114				52.632
		2/46						52.174
								600/(10+pi/2)
				5/116				51.724
								600/(10+phi)
			3/70					51.429
								600/(10+sqrt(3))
				4/94				51.064
	1/24							50
						5/122		49.18
					4/98			48.98
				3/74				48.649
			2/50					48
								600/(11+phi)
				3/76				47.368
								600/(10+e)
		1/26						46.154
								600/(10+pi)
					3/80			45
				2/54				44.444
					3/82			43.902
			1/28					42.857
					2/58			41.379
				1/30				40
							3/92	39.13
						2/62		38.71
					1/32			37.5
						1/34		35.294
							1/36	66.667
0/2								0