11L 2s

The 11L 2s MOS scale is most notable for being used by Ivan Wyschnegradsky and having a name "diatonicized chromatic scale". The more concise name for the scale, proposed by Eliora, is hendecoid. Another possible name for this mos in TAMNAMS is p-enhar balzano, being one of four enharmonic scales of 2L 7s.

↖ 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 ¢)
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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 - the strong relationship to the number 11 is the reason for the name "hendecoid". If just 11/8 is used as generator, the step ratio is around 1.962389572...

Modes

• 12|0 LLLLLLsLLLLLs
• 11|1 LLLLLsLLLLLLs
• 10|2 LLLLLsLLLLLsL
• 9|3 LLLLsLLLLLLsL

• 8|4 LLLLsLLLLLsLL
• 7|5 LLLsLLLLLLsLL
• 6|6 LLLsLLLLLsLLL
• 5|7 LLsLLLLLLsLLL
• 4|8 LLsLLLLLsLLLL
• 3|9 LsLLLLLLsLLLL
• 2|10 LsLLLLLsLLLLL
• 1|11 sLLLLLLsLLLLL

Scale tree

Generator						L	s	L/s	Comments
7\13						1	1	1.000
					41\76	6	5	1.200
				34\63		5	4	1.250
					61\113	9	7	1.286
			27\50			4	3	1.333
					74\137	11	8	1.375
				47\87		7	5	1.400
					67\124	10	7	1.428
		20\37				3	2	1.500
					73\135	11	7	1.571
				53\98		8	5	1.600
					86\159	13	8	1.625
			33\61			5	3	1.667	Freivald / emka is around here
					79\146	12	7	1.714
				46\85		7	4	1.750
					71\109	9	5	1.800
	13\24					2	1	2.000	Basic hendecoid, Wyschnegradsky's diatonicized chromatic
					70\107	9	4	2.250
				45\83		7	3	2.333
					77\142	12	5	2.400
			32\59			5	2	2.500
					83\152	13	5	2.600
				51\94		8	3	2.667
					70\129	11	4	2.750
		19\35				3	1	3.000
					63\116	10	3	3.333
				44\81		7	2	3.500
					69\127	11	3	3.667
			25\46			4	1	4.000	Heinz is around here
					56\103	9	2	4.500
				31\57		5	1	5.000
					37\68	6	1	6.000
6\11						1	0	→ inf