16L 3s

↖ 15L 2s	↑ 16L 2s	17L 2s ↗
← 15L 3s	16L 3s	17L 3s →
↙ 15L 4s	↓ 16L 4s	17L 4s ↘

┌╥╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║│║║║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLsLLLLLs sLLLLLsLLLLLsLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\19 to 11\16 (821.1 ¢ to 825.0 ¢)
Dark	5\16 to 6\19 (375.0 ¢ to 378.9 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	3L 13s
Sister	3L 16s
Daughters	19L 16s, 16L 19s
Neutralized	13L 6s
2-Flought	35L 3s, 16L 22s
Equal tunings
Equalized (L:s = 1:1)	13\19 (821.1 ¢)
Supersoft (L:s = 4:3)	50\73 (821.9 ¢)
Soft (L:s = 3:2)	37\54 (822.2 ¢)
Semisoft (L:s = 5:3)	61\89 (822.5 ¢)
Basic (L:s = 2:1)	24\35 (822.9 ¢)
Semihard (L:s = 5:2)	59\86 (823.3 ¢)
Hard (L:s = 3:1)	35\51 (823.5 ¢)
Superhard (L:s = 4:1)	46\67 (823.9 ¢)
Collapsed (L:s = 1:0)	11\16 (825.0 ¢)

16L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 3 small steps, repeating every octave. 16L 3s is a great-grandchild scale of 3L 7s, expanding it by 9 tones. Generators that produce this scale range from 821.1 ¢ to 825 ¢, or from 375 ¢ to 378.9 ¢.

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 16L 3s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
13\19						821.053	378.947	1:1	1.000	Equalized 16L 3s
					76\111	821.622	378.378	6:5	1.200
				63\92		821.739	378.261	5:4	1.250
					113\165	821.818	378.182	9:7	1.286
			50\73			821.918	378.082	4:3	1.333	Supersoft 16L 3s
					137\200	822.000	378.000	11:8	1.375
				87\127		822.047	377.953	7:5	1.400
					124\181	822.099	377.901	10:7	1.429
		37\54				822.222	377.778	3:2	1.500	Soft 16L 3s
					135\197	822.335	377.665	11:7	1.571
				98\143		822.378	377.622	8:5	1.600
					159\232	822.414	377.586	13:8	1.625
			61\89			822.472	377.528	5:3	1.667	Semisoft 16L 3s
					146\213	822.535	377.465	12:7	1.714
				85\124		822.581	377.419	7:4	1.750
					109\159	822.642	377.358	9:5	1.800
	24\35					822.857	377.143	2:1	2.000	Basic 16L 3s Scales with tunings softer than this are proper
					107\156	823.077	376.923	9:4	2.250
				83\121		823.140	376.860	7:3	2.333
					142\207	823.188	376.812	12:5	2.400
			59\86			823.256	376.744	5:2	2.500	Semihard 16L 3s
					153\223	823.318	376.682	13:5	2.600
				94\137		823.358	376.642	8:3	2.667
					129\188	823.404	376.596	11:4	2.750
		35\51				823.529	376.471	3:1	3.000	Hard 16L 3s
					116\169	823.669	376.331	10:3	3.333
				81\118		823.729	376.271	7:2	3.500
					127\185	823.784	376.216	11:3	3.667
			46\67			823.881	376.119	4:1	4.000	Superhard 16L 3s
					103\150	824.000	376.000	9:2	4.500
				57\83		824.096	375.904	5:1	5.000
					68\99	824.242	375.758	6:1	6.000
11\16						825.000	375.000	1:0	→ ∞	Collapsed 16L 3s

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