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 ¢)
View • Talk • Edit

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 ¢. This scale is the quarter tone scale of Shrutar temperament.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 2L 20s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
10\22						545.455	54.545	1:1	1.000	Equalized 2L 20s
					51\112	546.429	53.571	6:5	1.200
				41\90		546.667	53.333	5:4	1.250
					72\158	546.835	53.165	9:7	1.286
			31\68			547.059	52.941	4:3	1.333	Supersoft 2L 20s
					83\182	547.253	52.747	11:8	1.375
				52\114		547.368	52.632	7:5	1.400
					73\160	547.500	52.500	10:7	1.429
		21\46				547.826	52.174	3:2	1.500	Soft 2L 20s
					74\162	548.148	51.852	11:7	1.571
				53\116		548.276	51.724	8:5	1.600
					85\186	548.387	51.613	13:8	1.625
			32\70			548.571	51.429	5:3	1.667	Semisoft 2L 20s
					75\164	548.780	51.220	12:7	1.714
				43\94		548.936	51.064	7:4	1.750
					54\118	549.153	50.847	9:5	1.800
	11\24					550.000	50.000	2:1	2.000	Basic 2L 20s Scales with tunings softer than this are proper
					45\98	551.020	48.980	9:4	2.250
				34\74		551.351	48.649	7:3	2.333
					57\124	551.613	48.387	12:5	2.400
			23\50			552.000	48.000	5:2	2.500	Semihard 2L 20s
					58\126	552.381	47.619	13:5	2.600
				35\76		552.632	47.368	8:3	2.667
					47\102	552.941	47.059	11:4	2.750
		12\26				553.846	46.154	3:1	3.000	Hard 2L 20s
					37\80	555.000	45.000	10:3	3.333
				25\54		555.556	44.444	7:2	3.500
					38\82	556.098	43.902	11:3	3.667
			13\28			557.143	42.857	4:1	4.000	Superhard 2L 20s
					27\58	558.621	41.379	9:2	4.500
				14\30		560.000	40.000	5:1	5.000
					15\32	562.500	37.500	6:1	6.000
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 20s