User:Moremajorthanmajor/7L 2s (major tenth-equivalent): Difference between revisions

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This page is about a [[MOS scale]] with a period of [[5/2]] and 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
This page is about a [[MOS scale]] with a period of a major tenth and 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).


==Name==
==Name==
The author suggests the name '''Terra Rubra''' for this scale.


==Temperaments==
==Temperaments==
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[[Comma]] list: [[81/80]]
[[Comma]] list: [[81/80]]


[[POL2]] generator: ~3/2 = 696.8737
[[POL2]] generator: ~3/2 = 696.8737¢


[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]


[[Optimal ET sequence]]: 9ed5/2, 16ed5/2, 25ed5/2
[[Optimal ET sequence]]: [[9ed5/2]], [[16ed5/2]], [[25ed5/2]]


=== Terra Rubra-Superpyth ===
=== Terra Rubra-Superpyth ===
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[[Comma]] list: [[64/63]]
[[Comma]] list: [[64/63]]


[[POL2]] generator: ~3/2 = 708.4011
[[POL2]] generator: ~3/2 = 708.4011¢


[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]


[[Optimal ET sequence]]: 7ed18/7, 16ed18/7, 23ed18/7
[[Optimal ET sequence]]: [[7ed18/7]], [[16ed18/7]], [[23ed18/7]], [[30ed18/7]]


==Scale tree==
==Scale tree==
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|7
|7
| |
| |
|-
|
|
|80\143
|<u>880.733…</u>
|17
|12
|
|-
|-
| |
| |
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== See also ==
== See also ==
[[7L 2s (5/2-equivalent)]] - idealized meantone tuning
[[7L 2s (5/2-equivalent)]] - idealized meantone tuning
[[7L 2s (28/11-equivalent)]] - Neogothic tuning


[[7L 2s (18/7-equivalent)]] - idealized Archytas tuning
[[7L 2s (18/7-equivalent)]] - idealized Archytas tuning