9L 5s

Todo: confirm

Verify temperaments that correspond with 9L 5s

↖ 8L 4s	↑ 9L 4s	10L 4s ↗
← 8L 5s	9L 5s	10L 5s →
↙ 8L 6s	↓ 9L 6s	10L 6s ↘

┌╥╥┬╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║║│║││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘

Scale structure

Step pattern

LLsLLsLLsLLsLs
sLsLLsLLsLLsLL

Equave

2/1 (1200.0 ¢)

Period

2/1 (1200.0 ¢)

Generator size

Bright

3\14 to 2\9 (257.1 ¢ to 266.7 ¢)

Dark

7\9 to 11\14 (933.3 ¢ to 942.9 ¢)

TAMNAMS information

Related to

5L 4s (semiquartal)

With tunings

1:1 to 2:1 (soft-of-basic)

Related MOS scales

Equal tunings

Equalized (L:s = 1:1)

3\14 (257.1 ¢)

Supersoft (L:s = 4:3)

11\51 (258.8 ¢)

8\37 (259.5 ¢)

13\60 (260.0 ¢)

5\23 (260.9 ¢)

12\55 (261.8 ¢)

7\32 (262.5 ¢)

Superhard (L:s = 4:1)

9\41 (263.4 ¢)

Collapsed (L:s = 1:0)

2\9 (266.7 ¢)

9L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 5 small steps, repeating every octave. 9L 5s is a child scale of 5L 4s, expanding it by 5 tones. Generators that produce this scale range from 257.1 ¢ to 266.7 ¢, or from 933.3 ¢ to 942.9 ¢.

The generator can be said to approximate 7/6, but just 7/6 is larger than 2\9edo, so it cannot be used as a generator. The simplest just interval that works as a generator is 36/31. Two generators are said to create a fourth like Godzilla, but in reality it is closer to 27/20, if that is considered a consonance. 9L 5s is third smallest MOS of Semiphore.

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 9L 5s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
3\14						257.143	942.857	1:1	1.000	Equalized 9L 5s
					17\79	258.228	941.772	6:5	1.200
				14\65		258.462	941.538	5:4	1.250
					25\116	258.621	941.379	9:7	1.286
			11\51			258.824	941.176	4:3	1.333	Supersoft 9L 5s
					30\139	258.993	941.007	11:8	1.375
				19\88		259.091	940.909	7:5	1.400
					27\125	259.200	940.800	10:7	1.429
		8\37				259.459	940.541	3:2	1.500	Soft 9L 5s
					29\134	259.701	940.299	11:7	1.571
				21\97		259.794	940.206	8:5	1.600
					34\157	259.873	940.127	13:8	1.625
			13\60			260.000	940.000	5:3	1.667	Semisoft 9L 5s
					31\143	260.140	939.860	12:7	1.714
				18\83		260.241	939.759	7:4	1.750
					23\106	260.377	939.623	9:5	1.800
	5\23					260.870	939.130	2:1	2.000	Basic 9L 5s Scales with tunings softer than this are proper
					22\101	261.386	938.614	9:4	2.250
				17\78		261.538	938.462	7:3	2.333
					29\133	261.654	938.346	12:5	2.400
			12\55			261.818	938.182	5:2	2.500	Semihard 9L 5s
					31\142	261.972	938.028	13:5	2.600
				19\87		262.069	937.931	8:3	2.667
					26\119	262.185	937.815	11:4	2.750
		7\32				262.500	937.500	3:1	3.000	Hard 9L 5s
					23\105	262.857	937.143	10:3	3.333
				16\73		263.014	936.986	7:2	3.500
					25\114	263.158	936.842	11:3	3.667
			9\41			263.415	936.585	4:1	4.000	Superhard 9L 5s
					20\91	263.736	936.264	9:2	4.500
				11\50		264.000	936.000	5:1	5.000
					13\59	264.407	935.593	6:1	6.000
2\9						266.667	933.333	1:0	→ ∞	Collapsed 9L 5s