9L 5s: Difference between revisions

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{{Infobox MOS
| Periods = 1
| nLargeSteps = 9
| nSmallSteps = 5
| Equalized = 3
| Collapsed = 2
| Pattern = LLsLLsLLsLLsLs
| 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.
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|Semiphore]].
9L5s is third smallest MOS of [[Semiphore]].


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


[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 05:33, 9 December 2022

↖ 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.


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¢ s=0