12L 7s

↖ 11L 6s	↑ 12L 6s	13L 6s ↗
← 11L 7s	12L 7s	13L 7s →
↙ 11L 8s	↓ 12L 8s	13L 8s ↘

┌╥╥┬╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║│║║│║║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLsLLsLLsLs sLsLLsLLsLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\19 to 7\12 (694.7 ¢ to 700.0 ¢)
Dark	5\12 to 8\19 (500.0 ¢ to 505.3 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	7L 5s
Sister	7L 12s
Daughters	19L 12s, 12L 19s
Neutralized	5L 14s
2-Flought	31L 7s, 12L 26s
Equal tunings
Equalized (L:s = 1:1)	11\19 (694.7 ¢)
Supersoft (L:s = 4:3)	40\69 (695.7 ¢)
Soft (L:s = 3:2)	29\50 (696.0 ¢)
Semisoft (L:s = 5:3)	47\81 (696.3 ¢)
Basic (L:s = 2:1)	18\31 (696.8 ¢)
Semihard (L:s = 5:2)	43\74 (697.3 ¢)
Hard (L:s = 3:1)	25\43 (697.7 ¢)
Superhard (L:s = 4:1)	32\55 (698.2 ¢)
Collapsed (L:s = 1:0)	7\12 (700.0 ¢)

12L 7s is the MOS pattern of the meantone enharmonic or mega-chromatic scale. This MOS separates its small steps by intervals of 2L-2L-2L-1L-2L-2L-1L like the familiar 12edo diatonic scale. The perfect fifth which generates it measures 11\19 (694.737 cents) to 7\12 (700 cents).

The meantone enharmonic scale with generator between 11\19 (694.737 cents) and 18\31 (696.774 cents) is proper.

Modes

• 18|0 LLsLLsLLsLsLLsLLsLs
• 17|1 LLsLLsLsLLsLLsLLsLs
• 16|2 LLsLLsLsLLsLLsLsLLs
• 15|3 LLsLsLLsLLsLLsLsLLs
• 14|4 LLsLsLLsLLsLsLLsLLs
• 13|5 LsLLsLLsLLsLsLLsLLs
• 12|6 LsLLsLLsLsLLsLLsLLs
• 11|7 LsLLsLLsLsLLsLLsLsL
• 10|8 LsLLsLsLLsLLsLLsLsL
• 9|9 LsLLsLsLLsLLsLsLLsL
• 8|10 LsLsLLsLLsLLsLsLLsL
• 7|11 LsLsLLsLLsLsLLsLLsL
• 6|12 sLLsLLsLLsLsLLsLLsL
• 5|13 sLLsLLsLsLLsLLsLLsL
• 4|14 sLLsLLsLsLLsLLsLsLL
• 3|15 sLLsLsLLsLLsLLsLsLL
• 2|16 sLLsLsLLsLLsLsLLsLL
• 1|17 sLsLLsLLsLLsLsLLsLL
• 0|18 sLsLLsLLsLsLLsLLsLL

Scale tree

Generator ranges:

• Chroma-positive generator: 694.7368 cents (11\19) to 700 cents (7\12)
• Chroma-negative generator: 500 cents (5\12) to 505.2632 cents (8\19)

Generator						Cents	L	s	L/s	Comments
11\19						694.737	1	1	1.000
					62\107	695.327	6	5	1.200
				51\88		695.455	5	4	1.250
					91\157	695.541	9	7	1.286
			40\69			695.652	4	3	1.333
					109\188	695.745	11	8	1.375
				69\119		695.798	7	5	1.400
					98\169	695.858	10	7	1.428
		29\50				696.000	3	2	1.500	Meantone / Meanpop
					105\181	696.133	11	7	1.571
				76\131		696.183	8	5	1.600
					123\212	696.226	13	8	1.625	Golden meantone (696.2145¢)
			47\81			696.296	5	3	1.667	Meantone / Meanpop
					112\193	696.373	12	7	1.714
				65\112		696.429	7	4	1.750
					83\143	696.503	9	5	1.800
	18\31					696.774	2	1	2.000	Basic 12L 7s (Generators smaller than this are proper)
					79\136	697.059	9	4	2.250
				61\105		697.143	7	3	2.333	Meantone / Huygens
					104\179	697.207	12	5	2.400
			43\74			697.297	5	2	2.500	Meantone / Huygens / Grosstone
					111\191	697.382	13	5	2.600	Golden grosstone (697.3969¢)
				68\117		697.436	8	3	2.667
					93\160	697.500	11	4	2.750
		25\43				697.674	3	1	3.000	Meantone / Meridetone
					82\141	697.872	10	3	3.333
				57\98		697.959	7	2	3.500
					89\153	698.039	11	3	3.667
			32\55			698.182	4	1	4.000
					71\122	698.361	9	2	4.500
				39\67		698.507	5	1	5.000
					46\79	698.734	6	1	6.000
7\12						700.000	1	0	→ inf