2835/2816: Difference between revisions
Add the major thirds difference |
Since 44/35 is flat of the pyth major third by this interval, it's fwiwismic, not valinorsmic. |
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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| )!( }}. | 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]]. | |||
== 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." | 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." | ||
Revision as of 09:13, 13 March 2026
| Interval information |
35/11 kleisma
The Sagittal 35/11 kleisma or fwiwisma is a comma with a ratio of 2835/2816 and a value of approximately 11.64 cents. 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 .
It represents the difference between 45/44 and 64/63, and 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. It is also the difference between the Pythagorean major third (81/64) and 44/35.
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