2835/2816: Difference between revisions

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The [[Sagittal]] '''35/11 kleisma''' or '''fwiwisma''' is a [[comma]] with a [[ratio]] of '''2835/2816''' and a value of approximately 11.64 [[cent]]s. In the Sagittal system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | )|( }} and is called the '''35/11 kleisma''', or '''35/11k''' for short, because the simplest interval it notates is 35/11 = 5×7/11 (equiv. 35/22), as for example in A-F{{nbhsp}}{{sagittal | )|( }}. The primary role of {{ sagittal | )|( }} is [[896/891#Sagittal notation|896/891]] (11/7k up). The downward version is called '''11/35k''' or '''35/11k down''' and is represented (in a secondary role) by {{sagittal| )!( }}.

It represents the difference between [[45/44]] and [[64/63]], and is tempered out in [[miracle]], as well as supporting edos {{EDOs| 31, 41, and 72 }}. It is also the sum of [[243/242]] and [[385/384]], and so is tempered out in the rank-3 temperament [[mirwomo]]. It is also the difference between the Pythagorean major third ([[81/64]]) and [[44/35]].

It represents the difference between [[45/44]] and [[64/63]], and is tempered out in [[miracle]], as well as supporting edos {{EDOs|31, 41, and 72}}. It is also the sum of [[243/242]] and [[385/384]], and so is tempered out in the rank-3 temperament [[mirwomo]]. It is also the difference between the Pythagorean major third ([[81/64]]) and the valinorsmic major third ([[44/35]]).

== Etymology ==

==Etymology==

The name of this comma was coined in 2024 by [[Douglas Blumeyer]] during a conversation about what it should be. It comes from the acronym ''FWIW'', meaning "for what it's worth."

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 The [[Sagittal]] '''35/11 kleisma''' or '''fwiwisma''' is a [[comma]] with a [[ratio]] of '''2835/2816''' and a value of approximately 11.64 [[cent]]s. In the Sagittal system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal {{sagittal | )|( }} and is called the '''35/11 kleisma''', or '''35/11k''' for short, because the simplest interval it notates is 35/11 = 5×7/11 (equiv. 35/22), as for example in A-F{{nbhsp}}{{sagittal | )|( }}. The primary role of {{ sagittal | )|( }} is [[896/891#Sagittal notation|896/891]] (11/7k up). The downward version is called '''11/35k''' or '''35/11k down''' and is represented (in a secondary role) by {{sagittal| )!( }}.
+It represents the difference between [[45/44]] and [[64/63]], and is tempered out in [[miracle]], as well as supporting edos {{EDOs| 31, 41, and 72 }}. It is also the sum of [[243/242]] and [[385/384]], and so is tempered out in the rank-3 temperament [[mirwomo]]. It is also the difference between the Pythagorean major third ([[81/64]]) and [[44/35]].
-It represents the difference between [[45/44]] and [[64/63]], and is tempered out in [[miracle]], as well as supporting edos {{EDOs|31, 41, and 72}}. It is also the sum of [[243/242]] and [[385/384]], and so is tempered out in the rank-3 temperament [[mirwomo]]. It is also the difference between the Pythagorean major third ([[81/64]]) and the valinorsmic major third ([[44/35]]).
+== Etymology ==
-==Etymology==
 The name of this comma was coined in 2024 by [[Douglas Blumeyer]] during a conversation about what it should be. It comes from the acronym ''FWIW'', meaning "for what it's worth."