9L 3s: Difference between revisions

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<span style="font-size: 12.8000001907349px;">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.</span>
{{Infobox MOS}}
{{MOS intro}}


{| class="wikitable"
9L&nbsp;3s represents the chromatic scale of [[August]] temperament and its higher-limit extensions.
|-
 
| | 1/12
== Scale properties ==
| |
{{TAMNAMS use}}
| | <span style="font-size: 12.8px;">100</span>
 
|-
=== Intervals ===
| | <span style="font-size: 12.8px;">5/57</span>
{{MOS intervals}}
| |
 
| | 105.263
=== Generator chain ===
|-
{{MOS genchain}}
| | <span style="font-size: 12.8px;">4/45</span>
 
| |
=== Modes ===
| | 106.667
{{MOS mode degrees}}
|-
 
| |
== Scale tree ==
| | <span style="font-size: 12.8px;">7/78</span>
{{MOS tuning spectrum
| | 107.5385
| 7/5 = [[August]]
|-
| 9/5 = 11-limit August
| |
| 2/1 = 13-limit August
| | 10/111
}}
| | 108.108
 
|-
{{stub}}
| | <span style="font-size: 12.8px;">3/33</span>
 
| |
[[Category:12-tone scales]]
| | 109.111
|-
| |
| |
| | 109.992
|-
| |
| | <span style="font-size: 12.8px;">8/87</span>
| | 110.345
|-
| |
| |
| | 110.557
|-
| |
| | <span style="font-size: 12.8000001907349px;">5/54</span>
| | 111.111
|-
| |
| |
| | 111.815
|-
| |
| | <span style="font-size: 12.8px;">7/75</span>
| | 112
|-
| |
| | 9/96
| | 112.5
|-
| |
| | 11/117
| | 112.8205
|-
| |
| | 13/138
| | 113.0435
|-
| | 2/21
| |
| | <span style="font-size: 12.8000001907349px;">114.286</span>
|-
| |
| | 11/114
| | 115.7895
|-
| |
| | 9/93
| | 116.129
|-
| |
| | <span style="font-size: 12.8px;">7/72</span>
| | 116.667
|-
| |
| | <span style="font-size: 12.8px;">5/51</span>
| | 117.647
|-
| |
| |
| | 118.274
|-
| |
| | <span style="font-size: 12.8px;">8/81</span>
| | 118.5185
|-
| |
| |
| | 118.769
|-
| |
| | 11/111
| | 118.919
|-
| |
| | 14/141
| | 119.149
|-
| | <span style="font-size: 12.8px;">3/30</span>
| |
| | 120
|-
| |
| |
| | 120.543
|-
| |
| | <span style="font-size: 12.8px;">7/69</span>
| | 121.739
|-
| |
| | 11/108
| | 122.222
|-
| | <span style="font-size: 12.8px;">4/39</span>
| |
| | 123.138
|-
| |
| | 9/87
| | 124.138
|-
| | <span style="font-size: 12.8px;">5/48</span>
| |
| | 125
|-
| | 1/9
| |
| | <span style="font-size: 12.8px;">133.333</span>
|}