2835/2816: Difference between revisions
half pythagorean comma |
Expand a little |
||
| Line 6: | Line 6: | ||
}} | }} | ||
'''2835/2816''', the '''fwiwisma''', is a [[comma]] with a value of approximately 11.6 [[cent]]s. It represents the difference between: | '''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]] | * [[45/44]] and [[64/63]] | ||
* [[81/64]] and [[44/35]]. | * [[81/64]] and [[44/35]]. | ||
| Line 12: | Line 11: | ||
Due to this last difference, it notably serves as a half [[pythagorean comma]] for a strong rational representation of √2-[[hemipyth]]. | Due to this last difference, it notably serves as a half [[pythagorean comma]] for a strong rational representation of √2-[[hemipyth]]. | ||
It factors into simpler commas as ([[243/242]])⋅([[385/384]]) or ([[225/224]])⋅([[441/440]]). | |||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma results in the rank-4 '''fwiwismic''' temperament. Since this comma is the sum of 243/242 and 385/384, it is tempered out in the rank-3 temperament [[mirwomo]], and since it is the sum of 225/224 and 441/440, it is tempered out in the rank-3 temperament [[prodigy]]. As such, it is tempered out in [[miracle]], as well as [[support]]ing edos {{EDOs| 31, 41, and 72 }}. | |||
If instead tempered, in [[kalismic]], the pythagorean comma is halved, wherein each half represents 2835/2816~[[72171/71680]]. | If instead tempered, in [[kalismic]], the pythagorean comma is halved, wherein each half represents 2835/2816~[[72171/71680]]. | ||
| Line 27: | Line 28: | ||
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 | 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> | </blockquote> | ||
[[Category:Fwiwismic]] | [[Category:Fwiwismic]] | ||
[[Category:Commas named following events]] | [[Category:Commas named following events]] | ||