9L 5s: Difference between revisions

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| Neutralized = 2L 6s
| Neutralized = 2L 6s
}}  
}}  
'''9L 5s''' refers to the structure of '''[[moment of symmetry]]''' scales with generators ranging from '''2\9edo (two degrees of [[9edo]] = 266¢)''' to '''3\14 (three degrees of [[14edo]] = 257¢)'''. In the case of 14edo, L and s are the same size; in the case of 9edo, s becomes so small it disappears. 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. 9L5s is third smallest MOS of [[Semiphore]].
'''9L 5s''' refers to the structure of '''[[moment of symmetry]]''' scales with generators ranging from '''2\9edo (two degrees of [[9edo]] = 266¢)''' to '''3\14 (three degrees of [[14edo]] = 257¢)'''.  
 
In the case of 14edo, L and s are the same size; in the case of 9edo, s becomes so small it disappears. 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. 9L5s is third smallest MOS of [[Semiphore]].


== Modes ==
== Modes ==

Revision as of 07:47, 30 January 2024

↖ 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
Parent 5L 4s
Sister 5L 9s
Daughters 14L 9s, 9L 14s
Neutralized 4L 10s
2-Flought 23L 5s, 9L 19s
Equal tunings
Equalized (L:s = 1:1) 3\14 (257.1 ¢)
Supersoft (L:s = 4:3) 11\51 (258.8 ¢)
Soft (L:s = 3:2) 8\37 (259.5 ¢)
Semisoft (L:s = 5:3) 13\60 (260.0 ¢)
Basic (L:s = 2:1) 5\23 (260.9 ¢)
Semihard (L:s = 5:2) 12\55 (261.8 ¢)
Hard (L:s = 3:1) 7\32 (262.5 ¢)
Superhard (L:s = 4:1) 9\41 (263.4 ¢)
Collapsed (L:s = 1:0) 2\9 (266.7 ¢)

9L 5s refers to the structure of moment of symmetry scales with generators ranging from 2\9edo (two degrees of 9edo = 266¢) to 3\14 (three degrees of 14edo = 257¢).

In the case of 14edo, L and s are the same size; in the case of 9edo, s becomes so small it disappears. 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. 9L5s is third smallest MOS of Semiphore.

Modes

Modes of 9L 5s
UDP Cyclic
order		 Step
pattern
13|0 1 LLsLLsLLsLLsLs
12|1 4 LLsLLsLLsLsLLs
11|2 7 LLsLLsLsLLsLLs
10|3 10 LLsLsLLsLLsLLs
9|4 13 LsLLsLLsLLsLLs
8|5 2 LsLLsLLsLLsLsL
7|6 5 LsLLsLLsLsLLsL
6|7 8 LsLLsLsLLsLLsL
5|8 11 LsLsLLsLLsLLsL
4|9 14 sLLsLLsLLsLLsL
3|10 3 sLLsLLsLLsLsLL
2|11 6 sLLsLLsLsLLsLL
1|12 9 sLLsLsLLsLLsLL
0|13 12 sLsLLsLLsLLsLL

Tuning spectrum

generator in degrees of an edo generator in cents L in cents s in cents notes
3\14 257¢ 86¢ 86¢ L=s
258.87¢ 94¢ 70¢ Just interval 36/31
8\37 259¢ 97¢ 65¢
5\23 261¢ 104¢ 52¢ L≈2s
~261.5¢ 104¢ 52¢ L=2s
7\32 262¢ 113¢ 38¢
2\9 266¢ 266¢ 0¢ s=0
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