2835/2816: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Overthink (talk | contribs)
No edit summary
Add the major thirds difference
Line 9: Line 9:




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 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==

Revision as of 00:52, 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

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 the valinorsmic major third (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