9L 5s: Difference between revisions

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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.
{{Todo|confirm|inline=1|text=Verify temperaments that correspond with 9L 5s}}
{{Infobox MOS}}
{{MOS intro}}


9L5s is third smallest MOS of [[semiphore|Semiphore]].
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]].  


{| class="wikitable"
== Scale properties ==
|-
{{TAMNAMS use}}
| | generator in degrees of an edo
 
| | generator in cents
=== Intervals ===
| | L in cents
{{MOS intervals}}
| | s in cents
 
| | notes
=== Generator chain ===
|-
{{MOS genchain}}
| | 3\14
 
| | 257¢
=== Modes ===
| | 86¢
{{MOS mode degrees}}
| | 86¢
 
| | L=s
== Scale tree ==
|-
{{MOS tuning spectrum}}
| |
 
| | 258.87¢
{{todo|expand}}
| | 94¢
 
| | 70¢
[[Category:14-tone scales]]
| | 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
|}