2835/2816: Difference between revisions
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half pythagorean comma |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 2835/2816 | | Ratio = 2835/2816 | ||
| Name = 35/11 kleisma | | Name = fwiwisma, 35/11 kleisma, kalismic half pythcomma | ||
| Color name = L1uzy1, Laluzoyo comma | |||
| 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]] | |||
* [[81/64]] and [[44/35]]. | |||
* [[729/512]] and [[99/70]] | |||
Due to this last difference, it notably serves as a half [[pythagorean comma]] for a strong rational representation of √2-[[hemipyth]]. | |||
== 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]]. | |||
If instead tempered, in [[kalismic]], the pythagorean comma is halved, wherein each half represents 2835/2816~[[72171/71680]]. | |||
== 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 == | |||
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." | |||
<blockquote> | |||
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 | |||
</blockquote> | |||
[[Category:Fwiwismic]] | |||
[[Category:Commas named following events]] | |||
Latest revision as of 08:31, 9 April 2026
| Interval information |
35/11 kleisma,
kalismic half pythcomma
2835/2816, the fwiwisma, is a comma with a value of approximately 11.6 cents. It represents the difference between:
Due to this last difference, it notably serves as a half pythagorean comma for a strong rational representation of √2-hemipyth.
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.
If instead tempered, in kalismic, the pythagorean comma is halved, wherein each half represents 2835/2816~72171/71680.
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