9L 3s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS}}
| Name =  
{{MOS intro}}
| Periods = 3
 
| nLargeSteps = 9
9L 3s represents the chromatic scale of [[August]] temperament and its higher-limit extensions.
| nSmallSteps = 3
 
| Equalized = 1
== Scale properties ==
| Paucitonic = 1
{{TAMNAMS use}}
| Pattern = LLLsLLLsLLLs
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum
| 7/5 = [[August]]
| 9/5 = 11-limit August
| 2/1 = 13-limit August
}}
}}


This MOS is always proper because its period runs LLLs. It is generated by a diatonic semitone or "trienthird"/2/3-tone of 1/12edo (100 cents) to 1/9edo (133.33). It represents, among other chromatic scales, that of the August temperament.
{{stub}}


{| class="wikitable"
[[Category:12-tone scales]]
|-
| | 1/12
| |
| | 100
|-
| | 5/57
| |
| | 105.263
|-
| | 4/45
| |
| | 106.667
|-
| |
| | 7/78
| | 107.5385
|-
| |
| | 10/111
| | 108.108
|-
| | 3/33
| |
| | 109.111
|-
| |
| |
| | 109.992
|-
| |
| | 8/87
| | 110.345
|-
| |
| |
| | 110.557
|-
| |
| | 5/54
| | 111.111
|-
| |
| |
| | 111.815
|-
| |
| | 7/75
| | 112
|-
| |
| | 9/96
| | 112.5
|-
| |
| | 11/117
| | 112.8205
|-
| |
| | 13/138
| | 113.0435
|-
| | 2/21
| |
| | 114.286
|-
| |
| | 11/114
| | 115.7895
|-
| |
| | 9/93
| | 116.129
|-
| |
| | 7/72
| | 116.667
|-
| |
| | 5/51
| | 117.647
|-
| |
| |
| | 118.274
|-
| |
| | 8/81
| | 118.5185
|-
| |
| |
| | 118.769
|-
| |
| | 11/111
| | 118.919
|-
| |
| | 14/141
| | 119.149
|-
| | 3/30
| |
| | 120
|-
| |
| |
| | 120.543
|-
| |
| | 7/69
| | 121.739
|-
| |
| | 11/108
| | 122.222
|-
| | 4/39
| |
| | 123.138
|-
| |
| | 9/87
| | 124.138
|-
| | 5/48
| |
| | 125
|-
| | 1/9
| |
| | 133.333
|}