9L 5s: Difference between revisions

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{{Infobox MOS
{{Todo|confirm|inline=1|text=Verify temperaments that correspond with 9L 5s}}
| Periods = 1
{{Infobox MOS}}
| nLargeSteps = 9
{{MOS intro}}
| 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. 9L5s is third smallest MOS of [[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]].  


== Modes ==
== Scale properties ==
{{MOS modes}}
{{TAMNAMS use}}


== Tuning spectrum ==
=== Intervals ===
<!--
{{MOS intervals}}
14
        65
      51
        88
    37
        97
      60
        83
  23
        78
      55
        87
    32
        73
      41
        50
09
-->


{| class="wikitable"
=== Generator chain ===
|-
{{MOS genchain}}
| | generator in degrees of an edo
 
| |generator in cents
=== Modes ===
| |L in cents
{{MOS mode degrees}}
| |s in cents
 
| |notes
== Scale tree ==
|-
{{MOS tuning spectrum}}
| |3\14
 
| |257¢
{{todo|expand}}
| |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
|}


[[category:todo:expand]]
[[Category:14-tone scales]]
[[Category:14-tone scales]]