9L 13s

↖ 8L 12s	↑ 9L 12s	10L 12s ↗
← 8L 13s	9L 13s	10L 13s →
↙ 8L 14s	↓ 9L 14s	10L 14s ↘

Scale structure
Step pattern	LsLsLssLsLssLsLssLsLss ssLsLssLsLssLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\22 to 7\9 (927.3 ¢ to 933.3 ¢)
Dark	2\9 to 5\22 (266.7 ¢ to 272.7 ¢)
TAMNAMS information
Related to	4L 5s (gramitonic)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	9L 4s
Sister	13L 9s
Daughters	22L 9s, 9L 22s
Neutralized	18L 4s
2-Flought	31L 13s, 9L 35s
Equal tunings
Equalized (L:s = 1:1)	17\22 (927.3 ¢)
Supersoft (L:s = 4:3)	58\75 (928.0 ¢)
Soft (L:s = 3:2)	41\53 (928.3 ¢)
Semisoft (L:s = 5:3)	65\84 (928.6 ¢)
Basic (L:s = 2:1)	24\31 (929.0 ¢)
Semihard (L:s = 5:2)	55\71 (929.6 ¢)
Hard (L:s = 3:1)	31\40 (930.0 ¢)
Superhard (L:s = 4:1)	38\49 (930.6 ¢)
Collapsed (L:s = 1:0)	7\9 (933.3 ¢)
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9L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 13 small steps, repeating every octave. 9L 13s is a grandchild scale of 4L 5s, expanding it by 13 tones. Generators that produce this scale range from 927.3 ¢ to 933.3 ¢, or from 266.7 ¢ to 272.7 ¢.

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 9L 13s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
17\22						927.273	272.727	1:1	1.000	Equalized 9L 13s
					92\119	927.731	272.269	6:5	1.200
				75\97		927.835	272.165	5:4	1.250
					133\172	927.907	272.093	9:7	1.286
			58\75			928.000	272.000	4:3	1.333	Supersoft 9L 13s
					157\203	928.079	271.921	11:8	1.375
				99\128		928.125	271.875	7:5	1.400
					140\181	928.177	271.823	10:7	1.429
		41\53				928.302	271.698	3:2	1.500	Soft 9L 13s
					147\190	928.421	271.579	11:7	1.571
				106\137		928.467	271.533	8:5	1.600
					171\221	928.507	271.493	13:8	1.625
			65\84			928.571	271.429	5:3	1.667	Semisoft 9L 13s
					154\199	928.643	271.357	12:7	1.714
				89\115		928.696	271.304	7:4	1.750
					113\146	928.767	271.233	9:5	1.800
	24\31					929.032	270.968	2:1	2.000	Basic 9L 13s Scales with tunings softer than this are proper
					103\133	929.323	270.677	9:4	2.250
				79\102		929.412	270.588	7:3	2.333
					134\173	929.480	270.520	12:5	2.400
			55\71			929.577	270.423	5:2	2.500	Semihard 9L 13s
					141\182	929.670	270.330	13:5	2.600
				86\111		929.730	270.270	8:3	2.667
					117\151	929.801	270.199	11:4	2.750
		31\40				930.000	270.000	3:1	3.000	Hard 9L 13s
					100\129	930.233	269.767	10:3	3.333
				69\89		930.337	269.663	7:2	3.500
					107\138	930.435	269.565	11:3	3.667
			38\49			930.612	269.388	4:1	4.000	Superhard 9L 13s
					83\107	930.841	269.159	9:2	4.500
				45\58		931.034	268.966	5:1	5.000
					52\67	931.343	268.657	6:1	6.000
7\9						933.333	266.667	1:0	→ ∞	Collapsed 9L 13s

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