2L 9s

↖ 1L 8s	↑ 2L 8s	3L 8s ↗
← 1L 9s	2L 9s	3L 9s →
↙ 1L 10s	↓ 2L 10s	3L 10s ↘

Scale structure
Step pattern	LssssLsssss sssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\11 to 1\2 (545.5 ¢ to 600.0 ¢)
Dark	1\2 to 6\11 (600.0 ¢ to 654.5 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	2L 7s
Sister	9L 2s
Daughters	11L 2s, 2L 11s
Neutralized	4L 7s
2-Flought	13L 9s, 2L 20s
Equal tunings
Equalized (L:s = 1:1)	5\11 (545.5 ¢)
Supersoft (L:s = 4:3)	16\35 (548.6 ¢)
Soft (L:s = 3:2)	11\24 (550.0 ¢)
Semisoft (L:s = 5:3)	17\37 (551.4 ¢)
Basic (L:s = 2:1)	6\13 (553.8 ¢)
Semihard (L:s = 5:2)	13\28 (557.1 ¢)
Hard (L:s = 3:1)	7\15 (560.0 ¢)
Superhard (L:s = 4:1)	8\17 (564.7 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 9 small steps, repeating every octave. 2L 9s is a child scale of 2L 7s, expanding it by 2 tones. Generators that produce this scale range from 545.5 ¢ to 600 ¢, or from 600 ¢ to 654.5 ¢. This MOS reaches a harmonic entropy minimum when the generator is 7/5. It represents temperaments like Tritonic, Triton, Heinz and Liese.

Modes

Modes of 2L 9s

UDP	Cyclic order	Step pattern
10|0	1	LssssLsssss
9|1	6	LsssssLssss
8|2	11	sLssssLssss
7|3	5	sLsssssLsss
6|4	10	ssLssssLsss
5|5	4	ssLsssssLss
4|6	9	sssLssssLss
3|7	3	sssLsssssLs
2|8	8	ssssLssssLs
1|9	2	ssssLsssssL
0|10	7	sssssLssssL

Scale tree

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 9s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\11						545.455	654.545	1:1	1.000	Equalized 2L 9s
					26\57	547.368	652.632	6:5	1.200
				21\46		547.826	652.174	5:4	1.250
					37\81	548.148	651.852	9:7	1.286
			16\35			548.571	651.429	4:3	1.333	Supersoft 2L 9s
					43\94	548.936	651.064	11:8	1.375
				27\59		549.153	650.847	7:5	1.400
					38\83	549.398	650.602	10:7	1.429
		11\24				550.000	650.000	3:2	1.500	Soft 2L 9s
					39\85	550.588	649.412	11:7	1.571
				28\61		550.820	649.180	8:5	1.600
					45\98	551.020	648.980	13:8	1.625
			17\37			551.351	648.649	5:3	1.667	Semisoft 2L 9s
					40\87	551.724	648.276	12:7	1.714
				23\50		552.000	648.000	7:4	1.750
					29\63	552.381	647.619	9:5	1.800
	6\13					553.846	646.154	2:1	2.000	Basic 2L 9s Scales with tunings softer than this are proper
					25\54	555.556	644.444	9:4	2.250
				19\41		556.098	643.902	7:3	2.333
					32\69	556.522	643.478	12:5	2.400
			13\28			557.143	642.857	5:2	2.500	Semihard 2L 9s
					33\71	557.746	642.254	13:5	2.600
				20\43		558.140	641.860	8:3	2.667
					27\58	558.621	641.379	11:4	2.750
		7\15				560.000	640.000	3:1	3.000	Hard 2L 9s
					22\47	561.702	638.298	10:3	3.333
				15\32		562.500	637.500	7:2	3.500
					23\49	563.265	636.735	11:3	3.667
			8\17			564.706	635.294	4:1	4.000	Superhard 2L 9s
					17\36	566.667	633.333	9:2	4.500
				9\19		568.421	631.579	5:1	5.000
					10\21	571.429	628.571	6:1	6.000
1\2						600.000	600.000	1:0	→ ∞	Collapsed 2L 9s