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 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 fourth which generates it measures 5\12 (500 cents) to 8\19 (505.263 cents).

The meantone mega-chromatic scale with generator between 13\31 (503.226 cents) and 8\19 (505.263 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						Cents	L	s	L/s	Comments
8\19						505.263	1	1	1.000
					45\107	504.673	6	5	1.200
				37\88		504.545	5	4	1.250
					66\157	504.459	9	7	1.286
			29\69			504.348	4	3	1.333
					79\188	504.255	11	8	1.375
				50\119		504.202	7	5	1.400
					71\169	504.142	10	7	1.428
		21\50				504.000	3	2	1.500	Meantone / Meanpop
					76\181	503.867	11	7	1.571
				55\131		503.817	8	5	1.600
					89\212	503.774	13	8	1.625	Golden meantone (Generator = 503.7855 cents)
			34\81			503.704	5	3	1.667	Meantone / Meanpop
					81\193	503.627	12	7	1.714
				47\112		503.571	7	4	1.750
					60\143	503.497	9	5	1.800
	13\31					503.226	2	1	2.000	Basic meantone mega-chromatic (Generators larger than this are proper)
					57\136	502.941	9	4	2.250
				44\105		502.857	7	3	2.333	Meantone / Huygens
					75\179	502.793	12	5	2.400
			31\74			502.703	5	2	2.500	Meantone / Huygens / Grosstone
					80\191	502.618	13	5	2.600	Golden grosstone (Generator = 502.6031 cents)
				49\117		502.564	8	3	2.667
					67\160	502.500	11	4	2.750
		18\43				502.326	3	1	3.000	Meantone / Meridetone
					59\141	502.128	10	3	3.333
				41\98		502.041	7	2	3.500
					64\153	501.961	11	3	3.667
			23\55			501.818	4	1	4.000
					51\122	501.639	9	2	4.500
				28\67		501.493	5	1	5.000
					33\79	501.266	6	1	6.000
5\12						500.000	1	0	→ inf