19L 3s

↖ 18L 2s	↑ 19L 2s	20L 2s ↗
← 18L 3s	19L 3s	20L 3s →
↙ 18L 4s	↓ 19L 4s	20L 4s ↘

Scale structure
Step pattern	LLLLLLLsLLLLLLsLLLLLLs sLLLLLLsLLLLLLsLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	15\22 to 13\19 (818.2 ¢ to 821.1 ¢)
Dark	6\19 to 7\22 (378.9 ¢ to 381.8 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	4:1 to 5:1
Related MOS scales
Parent	3L 16s
Sister	3L 19s
Daughters	22L 19s, 19L 22s
Neutralized	16L 6s
2-Flought	41L 3s, 19L 25s
Equal tunings
Equalized (L:s = 1:1)	15\22 (818.2 ¢)
Supersoft (L:s = 4:3)	58\85 (818.8 ¢)
Soft (L:s = 3:2)	43\63 (819.0 ¢)
Semisoft (L:s = 5:3)	71\104 (819.2 ¢)
Basic (L:s = 2:1)	28\41 (819.5 ¢)
Semihard (L:s = 5:2)	69\101 (819.8 ¢)
Hard (L:s = 3:1)	41\60 (820.0 ¢)
Superhard (L:s = 4:1)	54\79 (820.3 ¢)
Collapsed (L:s = 1:0)	13\19 (821.1 ¢)
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19L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 3 small steps, repeating every octave. 19L 3s is related to 3L 7s, expanding it by 12 tones. Generators that produce this scale range from 818.2 ¢ to 821.1 ¢, or from 378.9 ¢ to 381.8 ¢. It is useful as a scale in no temperament but Magic.

7/22					381.818
				34/107	381.308
			27/85		381.1765
				47/148	381.081
		20/63			380.952
					380.87
				53/167	380.838
					380.819
			33/104		380.769
				46/145	380.69
	13/41				380.488
				45/142	380.282
			32/101		380.198
					380.145
				51/161	380.124
					380.103
		19/60			380
					379.955
				44/139	379,856
			25/79		379.747
				31/98	379.529
6/19					378.947