11L 4s

↖ 10L 3s	↑ 11L 3s	12L 3s ↗
← 10L 4s	11L 4s	12L 4s →
↙ 10L 5s	↓ 11L 5s	12L 5s ↘

Scale structure
Step pattern	LLLsLLLsLLLsLLs sLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\15 to 3\11 (320.0 ¢ to 327.3 ¢)
Dark	8\11 to 11\15 (872.7 ¢ to 880.0 ¢)
TAMNAMS information
Related to	4L 3s (smitonic)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	4L 7s
Sister	4L 11s
Daughters	15L 11s, 11L 15s
Neutralized	7L 8s
2-Flought	26L 4s, 11L 19s
Equal tunings
Equalized (L:s = 1:1)	4\15 (320.0 ¢)
Supersoft (L:s = 4:3)	15\56 (321.4 ¢)
Soft (L:s = 3:2)	11\41 (322.0 ¢)
Semisoft (L:s = 5:3)	18\67 (322.4 ¢)
Basic (L:s = 2:1)	7\26 (323.1 ¢)
Semihard (L:s = 5:2)	17\63 (323.8 ¢)
Hard (L:s = 3:1)	10\37 (324.3 ¢)
Superhard (L:s = 4:1)	13\48 (325.0 ¢)
Collapsed (L:s = 1:0)	3\11 (327.3 ¢)
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11L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 4 small steps, repeating every octave. 11L 4s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 320 ¢ to 327.3 ¢, or from 872.7 ¢ to 880 ¢. The bright generator represents a minor third slightly sharp of 6/5 (315.6¢), though this MOS is most reasonably interpreted in the 2.7.11 orgone temperament where it is identified as ~77/64. At its harmonic entropy minimum, the octave-reduced 7th harmonic (about 968¢) equals 3 of these generators.

Modes

Modes of 11L 4s

UDP	Cyclic order	Step pattern
14|0	1	LLLsLLLsLLLsLLs
13|1	5	LLLsLLLsLLsLLLs
12|2	9	LLLsLLsLLLsLLLs
11|3	13	LLsLLLsLLLsLLLs
10|4	2	LLsLLLsLLLsLLsL
9|5	6	LLsLLLsLLsLLLsL
8|6	10	LLsLLsLLLsLLLsL
7|7	14	LsLLLsLLLsLLLsL
6|8	3	LsLLLsLLLsLLsLL
5|9	7	LsLLLsLLsLLLsLL
4|10	11	LsLLsLLLsLLLsLL
3|11	15	sLLLsLLLsLLLsLL
2|12	4	sLLLsLLLsLLsLLL
1|13	8	sLLLsLLsLLLsLLL
0|14	12	sLLsLLLsLLLsLLL

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 11L 4s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\15						320.000	880.000	1:1	1.000	Equalized 11L 4s
					23\86	320.930	879.070	6:5	1.200
				19\71		321.127	878.873	5:4	1.250
					34\127	321.260	878.740	9:7	1.286
			15\56			321.429	878.571	4:3	1.333	Supersoft 11L 4s
					41\153	321.569	878.431	11:8	1.375
				26\97		321.649	878.351	7:5	1.400
					37\138	321.739	878.261	10:7	1.429
		11\41				321.951	878.049	3:2	1.500	Soft 11L 4s
					40\149	322.148	877.852	11:7	1.571
				29\108		322.222	877.778	8:5	1.600
					47\175	322.286	877.714	13:8	1.625
			18\67			322.388	877.612	5:3	1.667	Semisoft 11L 4s
					43\160	322.500	877.500	12:7	1.714
				25\93		322.581	877.419	7:4	1.750
					32\119	322.689	877.311	9:5	1.800
	7\26					323.077	876.923	2:1	2.000	Basic 11L 4s Scales with tunings softer than this are proper
					31\115	323.478	876.522	9:4	2.250
				24\89		323.596	876.404	7:3	2.333
					41\152	323.684	876.316	12:5	2.400
			17\63			323.810	876.190	5:2	2.500	Semihard 11L 4s
					44\163	323.926	876.074	13:5	2.600
				27\100		324.000	876.000	8:3	2.667
					37\137	324.088	875.912	11:4	2.750
		10\37				324.324	875.676	3:1	3.000	Hard 11L 4s
					33\122	324.590	875.410	10:3	3.333
				23\85		324.706	875.294	7:2	3.500
					36\133	324.812	875.188	11:3	3.667
			13\48			325.000	875.000	4:1	4.000	Superhard 11L 4s
					29\107	325.234	874.766	9:2	4.500
				16\59		325.424	874.576	5:1	5.000
					19\70	325.714	874.286	6:1	6.000
3\11						327.273	872.727	1:0	→ ∞	Collapsed 11L 4s