2835/2816: Difference between revisions

(12 intermediate revisions by 8 users not shown)

Line 1:

{{Infobox Interval

| Ratio = 2835/2816

| Name = 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:

~~The '''~~35/~~11 kleisma''' is~~ a comma ~~with~~ a ~~ratio~~ of 2835/2816 ~~and a value of approximately 11.64~~ [[~~cent~~]]s. ~~<span id~~=~~"Sagittal notation"></span>~~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 ~~ratio~~ it notates is (~~2·11~~)~~:35~~, as for example in ~~A:F ~~{{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| )!( }}.

* [[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 [[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]].

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 {{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| )!( }}.

== 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

</blockquote>

[[Category:Fwiwismic]]

[[Category:Commas named following events]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 2835/2816
-| Name = 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:
-The '''35/11 kleisma''' is a comma with a ratio of 2835/2816 and a value of approximately 11.64 [[cent]]s. <span id="Sagittal notation"></span>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 ratio it notates is (2·11):35, as for example in A:F&#x200A;{{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| )!( }}.
+* [[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 [[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]].
+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 {{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| )!( }}.
+== 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."
+<blockquote>
+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>
+[[Category:Fwiwismic]]
+[[Category:Commas named following events]]