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 notable for supporting Magic temperament.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 19L 3s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
15\22						818.182	381.818	1:1	1.000	Equalized 19L 3s
					88\129	818.605	381.395	6:5	1.200
				73\107		818.692	381.308	5:4	1.250
					131\192	818.750	381.250	9:7	1.286
			58\85			818.824	381.176	4:3	1.333	Supersoft 19L 3s
					159\233	818.884	381.116	11:8	1.375
				101\148		818.919	381.081	7:5	1.400
					144\211	818.957	381.043	10:7	1.429
		43\63				819.048	380.952	3:2	1.500	Soft 19L 3s
					157\230	819.130	380.870	11:7	1.571
				114\167		819.162	380.838	8:5	1.600
					185\271	819.188	380.812	13:8	1.625
			71\104			819.231	380.769	5:3	1.667	Semisoft 19L 3s
					170\249	819.277	380.723	12:7	1.714
				99\145		819.310	380.690	7:4	1.750
					127\186	819.355	380.645	9:5	1.800
	28\41					819.512	380.488	2:1	2.000	Basic 19L 3s Scales with tunings softer than this are proper Simplest tuning for Magic[22]
					125\183	819.672	380.328	9:4	2.250
				97\142		819.718	380.282	7:3	2.333
					166\243	819.753	380.247	12:5	2.400
			69\101			819.802	380.198	5:2	2.500	Semihard 19L 3s
					179\262	819.847	380.153	13:5	2.600
				110\161		819.876	380.124	8:3	2.667
					151\221	819.910	380.090	11:4	2.750
		41\60				820.000	380.000	3:1	3.000	Hard 19L 3s
					136\199	820.101	379.899	10:3	3.333
				95\139		820.144	379.856	7:2	3.500
					149\218	820.183	379.817	11:3	3.667
			54\79			820.253	379.747	4:1	4.000	Superhard 19L 3s
					121\177	820.339	379.661	9:2	4.500
				67\98		820.408	379.592	5:1	5.000
					80\117	820.513	379.487	6:1	6.000
13\19						821.053	378.947	1:0	→ ∞	Collapsed 19L 3s

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