8L 1s (3/1-equivalent)

← 7L 1s⟨3/1⟩ 8L 1s (3/1-equivalent) 9L 1s⟨3/1⟩ →

↙ 7L 2s⟨3/1⟩ ↓ 8L 2s⟨3/1⟩ 9L 2s⟨3/1⟩ ↘
	Scale structure
Step pattern	LLLLLLLLs; sLLLLLLLL
Equave	3/1 (1902.0 ¢)
Period	3/1 (1902.0 ¢)
	Generator size(edt)
Bright	1\9 to 1\8 (211.3 ¢ to 237.7 ¢)
Dark	7\8 to 8\9 (1664.2 ¢ to 1690.6 ¢)
	Related MOS scales
Parent	1L 7s⟨3/1⟩
Sister	1L 8s⟨3/1⟩
Daughters	9L 8s⟨3/1⟩, 8L 9s⟨3/1⟩
Neutralized	7L 2s⟨3/1⟩
2-Flought	17L 1s⟨3/1⟩, 8L 10s⟨3/1⟩
	Equal tunings(edt)
Equalized (L:s = 1:1)	1\9 (211.3 ¢)
Supersoft (L:s = 4:3)	4\35 (217.4 ¢)
Soft (L:s = 3:2)	3\26 (219.5 ¢)
Semisoft (L:s = 5:3)	5\43 (221.2 ¢)
Basic (L:s = 2:1)	2\17 (223.8 ¢)
Semihard (L:s = 5:2)	5\42 (226.4 ¢)
Hard (L:s = 3:1)	3\25 (228.2 ¢)
Superhard (L:s = 4:1)	4\33 (230.5 ¢)
Collapsed (L:s = 1:0)	1\8 (237.7 ¢)
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8L 1s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 8 large steps and 1 small step, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 211.3 ¢ to 237.7 ¢, or from 1664.2 ¢ to 1690.6 ¢. Scales of this form are always proper because there is only one small step.

Theory

Temperament interpretations

Modes

Modes of 8L 1s⟨3/1⟩
UDP	Cyclic order	Step pattern
8\|0	1	LLLLLLLLs
7\|1	2	LLLLLLLsL
6\|2	3	LLLLLLsLL
5\|3	4	LLLLLsLLL
4\|4	5	LLLLsLLLL
3\|5	6	LLLsLLLLL
2\|6	7	LLsLLLLLL
1\|7	8	LsLLLLLLL
0\|8	9	sLLLLLLLL

Scale degrees

Scale degrees of the modes of 8L 1s⟨3/1⟩
UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
UDP	Cyclic order	Step pattern	0	1	2	3	4	5	6	7	8	9
8\|0	1	LLLLLLLLs	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Aug.	Perf.
7\|1	2	LLLLLLLsL	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
6\|2	3	LLLLLLsLL	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Min.	Perf.	Perf.
5\|3	4	LLLLLsLLL	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Min.	Min.	Perf.	Perf.
4\|4	5	LLLLsLLLL	Perf.	Perf.	Maj.	Maj.	Maj.	Min.	Min.	Min.	Perf.	Perf.
3\|5	6	LLLsLLLLL	Perf.	Perf.	Maj.	Maj.	Min.	Min.	Min.	Min.	Perf.	Perf.
2\|6	7	LLsLLLLLL	Perf.	Perf.	Maj.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.
1\|7	8	LsLLLLLLL	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.
0\|8	9	sLLLLLLLL	Perf.	Dim.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Lua error in Module:MOS at line 28: attempt to index local 'equave' (a nil value).

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