19L 7s

↖ 18L 6s	↑ 19L 6s	20L 6s ↗
← 18L 7s	19L 7s	20L 7s →
↙ 18L 8s	↓ 19L 8s	20L 8s ↘

┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║│║║║│║║║│║║││ ││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLsLLLsLLsLLLsLLLsLLs sLLsLLLsLLLsLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	15\26 to 11\19 (692.3 ¢ to 694.7 ¢)
Dark	8\19 to 11\26 (505.3 ¢ to 507.7 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	4:3 to 3:2 (parasoft)
Related MOS scales
Parent	7L 12s
Sister	7L 19s
Daughters	26L 19s, 19L 26s
Neutralized	12L 14s
2-Flought	45L 7s, 19L 33s
Equal tunings
Equalized (L:s = 1:1)	15\26 (692.3 ¢)
Supersoft (L:s = 4:3)	56\97 (692.8 ¢)
Soft (L:s = 3:2)	41\71 (693.0 ¢)
Semisoft (L:s = 5:3)	67\116 (693.1 ¢)
Basic (L:s = 2:1)	26\45 (693.3 ¢)
Semihard (L:s = 5:2)	63\109 (693.6 ¢)
Hard (L:s = 3:1)	37\64 (693.8 ¢)
Superhard (L:s = 4:1)	48\83 (694.0 ¢)
Collapsed (L:s = 1:0)	11\19 (694.7 ¢)

19L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 7 small steps, repeating every octave. 19L 7s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 692.3 ¢ to 694.7 ¢, or from 505.3 ¢ to 507.7 ¢.

Temperaments associated with this scale include flattone, whose generator is treated as 3/2, and marfifths, whose generator is treated as 75/56 (marvelous 4th).

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.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 19L 7s

Generator(edo)							Cents		Step ratio		Comments
							Bright	Dark	L:s	Hardness
15\26							692.308	507.692	1:1	1.000	Equalized 19L 7s
						101\175	692.571	507.429	7:6	1.167
					86\149		692.617	507.383	6:5	1.200
						157\272	692.647	507.353	11:9	1.222
				71\123			692.683	507.317	5:4	1.250
						198\343	692.711	507.289	14:11	1.273
					127\220		692.727	507.273	9:7	1.286
						183\317	692.744	507.256	13:10	1.300
			56\97				692.784	507.216	4:3	1.333	Supersoft 19L 7s
						209\362	692.818	507.182	15:11	1.364
					153\265		692.830	507.170	11:8	1.375
						250\433	692.841	507.159	18:13	1.385
				97\168			692.857	507.143	7:5	1.400
						235\407	692.875	507.125	17:12	1.417
					138\239		692.887	507.113	10:7	1.429
						179\310	692.903	507.097	13:9	1.444
		41\71					692.958	507.042	3:2	1.500	Soft 19L 7s
						190\329	693.009	506.991	14:9	1.556
					149\258		693.023	506.977	11:7	1.571
						257\445	693.034	506.966	19:12	1.583
				108\187			693.048	506.952	8:5	1.600
						283\490	693.061	506.939	21:13	1.615
					175\303		693.069	506.931	13:8	1.625
						242\419	693.079	506.921	18:11	1.636
			67\116				693.103	506.897	5:3	1.667	Semisoft 19L 7s
						227\393	693.130	506.870	17:10	1.700
					160\277		693.141	506.859	12:7	1.714
						253\438	693.151	506.849	19:11	1.727
				93\161			693.168	506.832	7:4	1.750
						212\367	693.188	506.812	16:9	1.778
					119\206		693.204	506.796	9:5	1.800
						145\251	693.227	506.773	11:6	1.833
	26\45						693.333	506.667	2:1	2.000	Basic 19L 7s Scales with tunings softer than this are proper
						141\244	693.443	506.557	11:5	2.200
					115\199		693.467	506.533	9:4	2.250
						204\353	693.484	506.516	16:7	2.286
				89\154			693.506	506.494	7:3	2.333
						241\417	693.525	506.475	19:8	2.375
					152\263		693.536	506.464	12:5	2.400
						215\372	693.548	506.452	17:7	2.429
			63\109				693.578	506.422	5:2	2.500	Semihard 19L 7s
						226\391	693.606	506.394	18:7	2.571
					163\282		693.617	506.383	13:5	2.600
						263\455	693.626	506.374	21:8	2.625
				100\173			693.642	506.358	8:3	2.667
						237\410	693.659	506.341	19:7	2.714
					137\237		693.671	506.329	11:4	2.750
						174\301	693.688	506.312	14:5	2.800
		37\64					693.750	506.250	3:1	3.000	Hard 19L 7s
						159\275	693.818	506.182	13:4	3.250
					122\211		693.839	506.161	10:3	3.333
						207\358	693.855	506.145	17:5	3.400
				85\147			693.878	506.122	7:2	3.500
						218\377	693.899	506.101	18:5	3.600
					133\230		693.913	506.087	11:3	3.667
						181\313	693.930	506.070	15:4	3.750
			48\83				693.976	506.024	4:1	4.000	Superhard 19L 7s
						155\268	694.030	505.970	13:3	4.333
					107\185		694.054	505.946	9:2	4.500
						166\287	694.077	505.923	14:3	4.667
				59\102			694.118	505.882	5:1	5.000
						129\223	694.170	505.830	11:2	5.500
					70\121		694.215	505.785	6:1	6.000
						81\140	694.286	505.714	7:1	7.000
11\19							694.737	505.263	1:0	→ ∞	Collapsed 19L 7s