1521/1520: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = pinkanberry

~~| Ratio = 1521/1520~~

| Color name = 19u3oog1, nuthothogu 1sn

~~| Monzo = -4 2 -1 0 0 2 0 -1~~

| Comma = yes

~~| Cents = 1.1386~~

| Name = pinkanberry~~, pinkan comma, nuthothogu comma~~

| Color name = 19u3oog1, nuthothogu ~~unison~~

| ~~Sound~~ =

}}

'''1521/1520''', the '''pinkanberry''', is a [[~~19-limit~~]] ~~unnoticeable comma and~~ [[~~Essential tempering commas|essential tempering comma~~]]~~, specifically of the~~ 2.3.5.13.19 subgroup. ~~Among other things, it~~ is the ~~difference between~~ [[20/19]] and ~~a stack of two~~ [[40/39]]~~<nowiki~~/~~>s, as well as~~ the difference between ~~two other essential tempering commas,~~ [[~~676~~/~~675~~]] and [[~~1216~~/~~1215~~]].

'''1521/1520''', the '''pinkanberry''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[essential tempering comma]]. It is the amount by which a stack consisting of [[13/10]] and [[9/8]] exceeds [[19/13]]. It is also the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.

It is ~~named for~~ the ~~fact that~~ the ~~latter two commas define~~ [[~~The Archipelago#Pinkan|pinkan~~]] ~~temperament, making the tempering of 1521~~/~~1520 its most prominent "fruit". Tempering it out enables the '''pinkanberry chords''',~~ and ~~EDOs that support these include {{EDOs| 24, 27, 53, 77, 84, 111, 130, 137, 164,~~ 190~~, 217, 243, 270, 323, 407, 460,~~ and ~~513.}}~~

== Commatic relations ==

This comma is the difference between the following superparticular pairs:

* [[153/152]] and [[170/169]]

* [[169/168]] and [[190/189]]

* [[351/350]] and [[456/455]]

* [[676/675]] and [[1216/1215]] *

* [[936/935]] and [[2432/2431]]

* [[1001/1000]] and [[2926/2925]]

* [[1331/1330]] and [[10648/10647]]

* [[1445/1444]] and [[28900/28899]]

==See also==

It factors into the following superparticular pairs:

*[[Unnoticeable comma]]

* [[2376/2375]] and [[4225/4224]]

*[[List of superparticular intervals]]

* [[1729/1728]] and [[12636/12635]]

* [[1716/1715]] and [[13377/13376]]

* [[1701/1700]] and [[14365/14364]]

* [[1540/1539]] and [[123201/123200]]

<nowiki>*</nowiki> relation within the 2.3.5.13.19 subgroup

== Temperaments ==

Tempering out this comma enables [[pinkanberry chords]], and EDOs that support these include {{Optimal ET sequence| 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.

== Etymology ==

This comma is named for the fact that tempering out both 676/675 and 1216/1215 defines the [[The Archipelago #Pinkan|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit".

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

~~[[Category:19-limit]]~~

~~[[Category:Superparticular]]~~

~~[[Category:Unnoticeable commas]]~~

[[Category:Pinkanberry]]

[[Category:Commas named for other reasons]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = pinkanberry
-| Ratio = 1521/1520
+| Color name = 19u3oog1, nuthothogu 1sn
-| Monzo = -4 2 -1 0 0 2 0 -1
+| Comma = yes
-| Cents = 1.1386
-| Name = pinkanberry, pinkan comma, nuthothogu comma
-| Color name = 19u3oog1, nuthothogu unison
-| Sound =
 }}
-'''1521/1520''', the '''pinkanberry''', is a [[19-limit]] unnoticeable comma and [[Essential tempering commas|essential tempering comma]], specifically of the 2.3.5.13.19 subgroup. Among other things, it is the difference between [[20/19]] and a stack of two [[40/39]]<nowiki/>s, as well as the difference between two other essential tempering commas, [[676/675]] and [[1216/1215]].
+'''1521/1520''', the '''pinkanberry''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.5.13.19 [[subgroup]]) [[comma]] and [[19-odd-limit]] [[essential tempering comma]]. It is the amount by which a stack consisting of [[13/10]] and [[9/8]] exceeds [[19/13]]. It is also the difference between [[39/38]] and [[40/39]], as well as other relations detailed in the next section.
-It is named for the fact that the latter two commas define [[The Archipelago#Pinkan|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit". Tempering it out enables the '''pinkanberry chords''', and EDOs that support these include {{EDOs| 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513.}}
+== Commatic relations ==
+This comma is the difference between the following superparticular pairs:
+* [[153/152]] and [[170/169]]
+* [[169/168]] and [[190/189]]
+* [[351/350]] and [[456/455]]
+* [[676/675]] and [[1216/1215]] *
+* [[936/935]] and [[2432/2431]]
+* [[1001/1000]] and [[2926/2925]]
+* [[1331/1330]] and [[10648/10647]]
+* [[1445/1444]] and [[28900/28899]]
-==See also==
+It factors into the following superparticular pairs:
-*[[Unnoticeable comma]]
+* [[2376/2375]] and [[4225/4224]]
-*[[List of superparticular intervals]]
+* [[1729/1728]] and [[12636/12635]]
+* [[1716/1715]] and [[13377/13376]]
+* [[1701/1700]] and [[14365/14364]]
+* [[1540/1539]] and [[123201/123200]]
+<nowiki>*</nowiki> relation within the 2.3.5.13.19 subgroup
+== Temperaments ==
+Tempering out this comma enables [[pinkanberry chords]], and EDOs that support these include {{Optimal ET sequence| 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513 }}.
+== Etymology ==
+This comma is named for the fact that tempering out both 676/675 and 1216/1215 defines the [[The Archipelago #Pinkan|pinkan]] temperament, making the tempering of 1521/1520 its most prominent "fruit".
+== See also ==
+* [[Unnoticeable comma]]
+* [[List of superparticular intervals]]
-[[Category:19-limit]]
-[[Category:Superparticular]]
-[[Category:Unnoticeable commas]]
 [[Category:Pinkanberry]]
+[[Category:Commas named for other reasons]]