2835/2816: Difference between revisions

(3 intermediate revisions by one other user not shown)

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:

~~The~~ [[~~Sagittal~~]] ~~'''35~~/~~11 kleisma''' or '''fwiwisma''' is a~~ [[~~comma~~]] ~~with a~~ [[~~ratio~~]] ~~of '''2835/2816''' and a value of approximately 11~~.64 [[~~cent~~]]~~s. 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| )!( }}.~~

* [[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 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]])~~.

== 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]].

==Etymology==

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."

Line 17:

Line 27:

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 ~~systematically~~]]

[[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:
-The [[Sagittal]] '''35/11 kleisma''' or '''fwiwisma''' is a [[comma]] with a [[ratio]] of '''2835/2816''' and a value of approximately 11.64 [[cent]]s. 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| )!( }}.
+* [[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 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]]).
+== 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]].
-==Etymology==
+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."
@@ Line 17: / Line 27: @@
 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 systematically]]
+[[Category:Commas named following events]]