2835/2816: Difference between revisions

Since 44/35 is flat of the pyth major third by this interval, it's fwiwismic, not valinorsmic.
Re-organize, giving each topic a distinct section. Make "fwiwisma" official cuz it's used to name 44/35. Recategorize accordingly.
Line 5: Line 5:
| Comma = yes
| Comma = yes
}}
}}
'''2835/2816''', the '''fwiwisma''', is a [[comma]] with a value of approximately 11.6 [[cent]]s. It represents the difference between [[45/44]] and [[64/63]]. It is also the difference between the Pythagorean major third ([[81/64]]) and [[44/35]].


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| )!( }}.
== Temperaments ==
This comma is [[tempering out|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 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]].
== Notation ==
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| )!( }}.


== Etymology ==
== Etymology ==
Line 17: Line 20:
</blockquote>
</blockquote>


[[Category:Commas named systematically]]
[[Category:Commas named following events]]