12L 3s

↖ 11L 2s	↑ 12L 2s	13L 2s ↗
← 11L 3s	12L 3s	13L 3s →
↙ 11L 4s	↓ 12L 4s	13L 4s ↘

┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐ │║║║║│║║║║│║║║║││ │││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLLs sLLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	1\15 to 1\12 (80.0 ¢ to 100.0 ¢)
Dark	3\12 to 4\15 (300.0 ¢ to 320.0 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	3L 9s
Sister	3L 12s
Daughters	15L 12s, 12L 15s
Neutralized	9L 6s
2-Flought	27L 3s, 12L 18s
Equal tunings
Equalized (L:s = 1:1)	1\15 (80.0 ¢)
Supersoft (L:s = 4:3)	4\57 (84.2 ¢)
Soft (L:s = 3:2)	3\42 (85.7 ¢)
Semisoft (L:s = 5:3)	5\69 (87.0 ¢)
Basic (L:s = 2:1)	2\27 (88.9 ¢)
Semihard (L:s = 5:2)	5\66 (90.9 ¢)
Hard (L:s = 3:1)	3\39 (92.3 ¢)
Superhard (L:s = 4:1)	4\51 (94.1 ¢)
Collapsed (L:s = 1:0)	1\12 (100.0 ¢)

The 12L 3s (or 4L 1s<1\3>) MOS scale contains three 4L 1s patterns per octave.

This is an augene MOS which is generated by a neutral semitone between 1\15 (80 ¢) and 1\12edo (100 ¢). Having three periods of 4L 1s, it may be more specifically referred to as the Ternary mode of Augene[15].

Scale tree

1/15							80
						7\102	82.353
					6\87		82.759
				5/72			83.333
			4/57				84.2105
				7/99			84.8485
		3/42					85.714
							86.27
				8/111			86.4865
							86.617
			5/69				86.9565
				7/96			87.5
	2/27						88.889
						11/147	89.796
					9/120		90
				7/93			90.323
			5/66				90.909
							91.283
				8/105			91.429
							91.578
		3/39					92.308
							92.629
				7/90			93.333
			4/51				94.118
				5/63			95.238
					6/75		96
						7/87	96.552
1/12							100