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

Equal tunings

Equalized (L:s = 1:1)

4\15 (320.0 ¢)

Supersoft (L:s = 4:3)

15\56 (321.4 ¢)

11\41 (322.0 ¢)

18\67 (322.4 ¢)

7\26 (323.1 ¢)

17\63 (323.8 ¢)

10\37 (324.3 ¢)

Superhard (L:s = 4:1)

13\48 (325.0 ¢)

Collapsed (L:s = 1:0)

3\11 (327.3 ¢)

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.

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