2835/2816: Difference between revisions

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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.
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'''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 ==
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[[Category:Commas named systematically]]
[[Category:Commas named following events]]

Revision as of 09:22, 13 March 2026

Interval information
Ratio 2835/2816
Factorization 2-8 × 34 × 5 × 7 × 11-1
Monzo [-8 4 1 1 -1
Size in cents 11.64168¢
Names fwiwisma,
35/11 kleisma
Color name L1uzy1, Laluzoyo comma
FJS name [math]\displaystyle{ \text{A1}^{5,7}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 22.9286
Weil norm (log2 max(n, d)) 22.9383
Wilson norm (sopfr(nd)) 51
Comma size small
Open this interval in xen-calc

2835/2816, the fwiwisma, is a comma with a value of approximately 11.6 cents. 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.

Temperaments

This comma is tempered out in miracle, as well as supporting 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.

Notation

In the Sagittal system, this comma (possibly tempered) is represented in a secondary role by the 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 ⁠. The primary role of is 896/891 (11/7k up). The downward version is called 11/35k or 35/11k down and is represented in a secondary role by .

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."

fwiw I'd rather you not. there's already a blumeyer, blume, and yer commas which are related which I named after myself, and I don't think this is related to them. why not name it the davesma or something, by your logic? or you could name it the fwiwisma lol