11L 4s

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¢). At its harmonic entropy minimum, the octave-reduced 7th harmonic (about 968¢) equals 3 of these generators.

↖ 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 ¢)
View • Talk • Edit

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

4/15					320
				19/71	321.127
			15/56		321.429
				26/97	321.6495
		11/41			321.951
					322.146
				29/108	322.222
					322.268
			18/67		322.388
					322.5405
				25/93	322.581
	7/26				323.077
				24/89	323.5955
			17/63		323.8095
					323.947
				27/100	324
					324.055
		10/37			324.324
					324.443
				23/85	324.706
			13/48		325
				16/59	325.424
3/11					327.273