2835/2816: Difference between revisions

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{{Infobox Interval

| Ratio = 2835/2816

| Name = fwiwisma, 35/11 kleisma

| Name = fwiwisma, 35/11 kleisma, kalismic half pythcomma

| Color name = L1uzy1, Laluzoyo comma

| 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]]~~. It is also the difference between the Pythagorean major third (~~[[81/64]]) and [[44/35]].

'''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]].

It factors into simpler commas as ([[243/242]])⋅([[385/384]]) or ([[225/224]])⋅([[441/440]]).

== 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~~]].

[[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]].

== Notation ==

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</blockquote>

[[Category:Fwiwismic]]

[[Category:Commas named following events]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 2835/2816
-| Name = fwiwisma, 35/11 kleisma
+| Name = fwiwisma, 35/11 kleisma, kalismic half pythcomma
 | Color name = L1uzy1, Laluzoyo comma
 | 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]]. It is also the difference between the Pythagorean major third ([[81/64]]) and [[44/35]].
+'''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]].
+It factors into simpler commas as ([[243/242]])⋅([[385/384]]) or ([[225/224]])⋅([[441/440]]).
 == 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]].
+[[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]].
 == Notation ==
@@ Line 20: / Line 29: @@
 </blockquote>
+[[Category:Fwiwismic]]
 [[Category:Commas named following events]]

2835/2816: Difference between revisions

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