1521/1520: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = pinkanberry | | Name = pinkanberry comma | ||
| Color name = 19u3oog1, nuthothogu 1sn | | Color name = 19u3oog1, nuthothogu 1sn | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1521/1520''', the '''pinkanberry''' | '''1521/1520''', the '''pinkanberry comma''' or simply '''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. | ||
== Commatic relations == | == Commatic relations == | ||
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* [[169/168]] and [[190/189]] | * [[169/168]] and [[190/189]] | ||
* [[351/350]] and [[456/455]] | * [[351/350]] and [[456/455]] | ||
* [[676/675]] and [[1216/1215]] | * [[676/675]] and [[1216/1215]] * | ||
* [[936/935]] and [[2432/2431]] | * [[936/935]] and [[2432/2431]] | ||
* [[1001/1000]] and [[2926/2925]] | * [[1001/1000]] and [[2926/2925]] | ||
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* [[1701/1700]] and [[14365/14364]] | * [[1701/1700]] and [[14365/14364]] | ||
* [[1540/1539]] and [[123201/123200]] | * [[1540/1539]] and [[123201/123200]] | ||
<nowiki>*</nowiki> relation within the 2.3.5.13.19 subgroup | |||
== Temperaments == | == Temperaments == | ||
Tempering out this comma enables | 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 == | == 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". | This comma is named ''pinkanberry'' 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". ''Pinkanberry comma'' is proposed for the fact that the corresponding essentially tempered chords page is "[[pinkanberry chords]]", which is usually named after the temperament tempering the comma out. | ||
== See also == | == See also == | ||
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[[Category:Pinkanberry]] | [[Category:Pinkanberry]] | ||
[[Category:Commas named for other reasons]] | |||