11L 2s

↖ 10L 1s	↑ 11L 1s	12L 1s ↗
← 10L 2s	11L 2s	12L 2s →
↙ 10L 3s	↓ 11L 3s	12L 3s ↘

┌╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLs sLLLLLsLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\13 to 6\11 (646.2 ¢ to 654.5 ¢)
Dark	5\11 to 6\13 (545.5 ¢ to 553.8 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	2L 9s
Sister	2L 11s
Daughters	13L 11s, 11L 13s
Neutralized	9L 4s
2-Flought	24L 2s, 11L 15s
Equal tunings
Equalized (L:s = 1:1)	7\13 (646.2 ¢)
Supersoft (L:s = 4:3)	27\50 (648.0 ¢)
Soft (L:s = 3:2)	20\37 (648.6 ¢)
Semisoft (L:s = 5:3)	33\61 (649.2 ¢)
Basic (L:s = 2:1)	13\24 (650.0 ¢)
Semihard (L:s = 5:2)	32\59 (650.8 ¢)
Hard (L:s = 3:1)	19\35 (651.4 ¢)
Superhard (L:s = 4:1)	25\46 (652.2 ¢)
Collapsed (L:s = 1:0)	6\11 (654.5 ¢)

11L 2s, also called hendecoid or Wyschnegradsky's diatonicized chromatic scale, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 2 small steps, repeating every octave. 11L 2s is a grandchild scale of 2L 7s, expanding it by 4 tones. Generators that produce this scale range from 646.2 ¢ to 654.5 ¢, or from 545.5 ¢ to 553.8 ¢. This scale is most notable for being used by Ivan Wyschnegradsky, bearing the name diatonicized chromatic scale. Eliora has proposed the name hendecoid for its strong relationship to the number 11, as it's an 11+-limit scale and has generators that are close to 11/8. Frostburn has proposed the name p-enhar balzano, as a grandchild scale of 2L 7s.

From a regular temperament theory perspective, is notable for correponding to the mega chromatic scale of Heinz temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale. If just 11/8 is used as generator, the step ratio is around 1.509.

Modes

Modes of 11L 2s

UDP	Cyclic order	Step pattern
12|0	1	LLLLLLsLLLLLs
11|1	8	LLLLLsLLLLLLs
10|2	2	LLLLLsLLLLLsL
9|3	9	LLLLsLLLLLLsL
8|4	3	LLLLsLLLLLsLL
7|5	10	LLLsLLLLLLsLL
6|6	4	LLLsLLLLLsLLL
5|7	11	LLsLLLLLLsLLL
4|8	5	LLsLLLLLsLLLL
3|9	12	LsLLLLLLsLLLL
2|10	6	LsLLLLLsLLLLL
1|11	13	sLLLLLLsLLLLL
0|12	7	sLLLLLsLLLLLL