2835/2816

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, kalismic half pythcomma
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
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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
• 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 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