9L 2s: Difference between revisions

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This MOS, generated by an approximate 15/11 of 4/9edo (533.333 cents) to 5/11edo (545.4545), represents temperaments like Avila (narrow generator) and Casablanca (wide). However, its major triad, 15:13:11, is slightly more complicated than that of Meantone/Mavila (-4, 5 vs. -3, 4).
{{Infobox MOS
| Name =
| Periods = 1
| nLargeSteps = 9
| nSmallSteps = 2
| Equalized = 6
| Collapsed = 5
| Pattern = LLLLLsLLLLs
}}
{{MOS intro}}


{| class="wikitable"
It represents temperaments like [[Avila]] (narrow generator) and [[Casablanca]] (wide). [[User:CompactStar|CompactStar]] has suggested the names '''ultradiatonic''' and '''superarmotonic''' by analogy to [[7L 2s]]'s name of superdiatonic, while [[User:Ganaram inukshuk|Ganaram Inukshuk]] has suggested '''villatonic''' as a reference to the aforementioned Avila and Casablanca.
|-
 
| | 4/9
== Scale properties ==
| |
{{TAMNAMS use}}
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| | 533.333
 
|-
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| | 21/47
 
| | 536.17
=== Proposed names ===
|-
{{MOS modes
| |
| Mode Names=
| |
Ultralydian $
| |
Ultraionian $
| | 17/38
Ultramixolydian $
| |
Ultracorinthian $
| | 536.842
Ultraolympian $
|-
Ultralycian $
| |
Ultrapisidian $
| |
Ultradorian $
| |
Ultraaeolian $
| |
Ultraphrygian $
| | 30/67
Ultralocrian $
| | 537.313
}}
|-
 
| |
== Scale tree ==
| |
{{MOS tuning spectrum}}
| |
 
| |
{{todo|expand}}
| |
 
| | 537.738
[[Category:11-tone scales]]
|-
| |
| |
| | 13/29
| |
| |
| | 537.931
|-
| |
| |
| |
| |
| |
| | 538.3715
|-
| |
| |
| |
| |
| | 35/78
| | 538.4615
|-
| |
| |
| |
| |
| |
| | 538.549
|-
| |
| |
| |
| | 22/49
| |
| | 538.7755
|-
| |
| |
| |
| |
| | 31/69
| | 539.13
|-
| |
| | 9/20
| |
| |
| |
| | 540
|-
| |
| |
| |
| |
| | 32/71
| | 540.845
|-
| |
| |
| |
| |
| |
| | 540.941
|-
| |
| |
| |
| | 23/51
| |
| | 541.1765
|-
| |
| |
| |
| |
| |
| | 541.384
|-
| |
| |
| |
| |
| | 37/82
| | 541.463
|-
| |
| |
| |
| |
| |
| | 541.596
|-
| |
| |
| | 14/31
| |
| |
| | 541.9355
|-
| |
| |
| |
| |
| | 33/73
| | 542.466
|-
| |
| |
| |
| | 19/42
| |
| | 542.857
|-
| |
| |
| |
| |
| | 24/53
| | 543.396
|-
| | 5/11
| |
| |
| |
| |
| | 545.4545
|}