6L 5s

↖ 5L 4s	↑ 6L 4s	7L 4s ↗
← 5L 5s	6L 5s	7L 5s →
↙ 5L 6s	↓ 6L 6s	7L 6s ↘

┌╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLs sLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	9\11 to 5\6 (981.8 ¢ to 1000.0 ¢)
Dark	1\6 to 2\11 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to	5L 1s (machinoid)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	5L 1s
Sister	5L 6s
Daughters	11L 6s, 6L 11s
Neutralized	1L 10s
2-Flought	17L 5s, 6L 16s
Equal tunings
Equalized (L:s = 1:1)	9\11 (981.8 ¢)
Supersoft (L:s = 4:3)	32\39 (984.6 ¢)
Soft (L:s = 3:2)	23\28 (985.7 ¢)
Semisoft (L:s = 5:3)	37\45 (986.7 ¢)
Basic (L:s = 2:1)	14\17 (988.2 ¢)
Semihard (L:s = 5:2)	33\40 (990.0 ¢)
Hard (L:s = 3:1)	19\23 (991.3 ¢)
Superhard (L:s = 4:1)	24\29 (993.1 ¢)
Collapsed (L:s = 1:0)	5\6 (1000.0 ¢)

6L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 5 small steps, repeating every octave. 6L 5s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 981.8 ¢ to 1000 ¢, or from 200 ¢ to 218.2 ¢.} This MOS has a harmonic entropy minimum (Baldy) which is highly improper (L=8 s=1) in an optimal tuning, However, its saving grace is that it at least has index 2 in syntonic temperaments with wide fifths like superpyth (2.3.7) and pentacircle (2.3.11/7.13/11).

Modes

Modes of 6L 5s

UDP	Cyclic order	Step pattern
10|0	1	LLsLsLsLsLs
9|1	10	LsLLsLsLsLs
8|2	8	LsLsLLsLsLs
7|3	6	LsLsLsLLsLs
6|4	4	LsLsLsLsLLs
5|5	2	LsLsLsLsLsL
4|6	11	sLLsLsLsLsL
3|7	9	sLsLLsLsLsL
2|8	7	sLsLsLLsLsL
1|9	5	sLsLsLsLLsL
0|10	3	sLsLsLsLsLL

Scale tree

1/6					200
				6/35	205.714
			5/29		206.897
				9/52	207.692
					208.386
		4/23			208.696
					209.385
				11/63	209.524
					209.528
			7/40		210
				10/57	210.526
	3/17				211.765
				11/62	212.903
					212.9935
			8/45		213.333
					213.598
				13/73	213.699
					213.865
		5/28			214.286
				12/67	214.925
			7/39		215.385
				9/50	216
2/11					218.182