442/441: Difference between revisions

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'''442/441''', the '''seminaiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 3.9 [[cent]]s in size. It is ~~so named because its size is about a half of minor naiadma,~~ [[~~221~~/~~220~~]]~~. It~~ forms the amount by which a stack consisting of [[13/8]] and [[17/16]] exceeds a stack of two [[21/16]]s. It differs from [[441/440]] (werckisma) by [[Scintillisma|194481/194480]] (scintillisma) – an [[unnoticeable comma]] measuring ~0.0089 cents.

'''442/441''', the '''seminaiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 3.9 [[cent]]s in size. It is the difference between [[21/17]] and [[26/21]], and forms the amount by which a stack consisting of [[13/8]] and [[17/16]] exceeds a stack of two [[21/16]]s. It differs from [[441/440]] (werckisma) by [[Scintillisma|194481/194480]] (scintillisma) – an [[unnoticeable comma]] measuring ~0.0089 cents. By tempering it out is defined the '''seminaiadmic temperament''', which enables the [[seminaiadmic chords]].

== Commatic relations ==

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* [[676/675]] and [[1275/1274]]

* [[715/714]] and [[1156/1155]]

== Etymology ==

The name ''seminaiadma'' was named by [[User:Xenllium|Xenllium]] in 2023, for the following reasons - its size is about a half of minor naiadma, [[221/220]] (similar to [[semicomma]], whose size is about a half of [[81/80|syntonic comma]]). Tempering it out leads equating 21/17 and 26/21 into a single submajor third interval, two of which give an [[interseptimal interval]], [[26/17]] ([[octave complement]] of a naiadic interval, [[17/13]]).

== See also ==

* [[Small comma]]

* [[List of superparticular intervals]]

[[Category:Seminaiadmic]]

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 }}
-'''442/441''', the '''seminaiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 3.9 [[cent]]s in size. It is so named because its size is about a half of minor naiadma, [[221/220]]. It forms the amount by which a stack consisting of [[13/8]] and [[17/16]] exceeds a stack of two [[21/16]]s. It differs from [[441/440]] (werckisma) by [[Scintillisma|194481/194480]] (scintillisma) – an [[unnoticeable comma]] measuring ~0.0089 cents.
+'''442/441''', the '''seminaiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 3.9 [[cent]]s in size. It is the difference between [[21/17]] and [[26/21]], and forms the amount by which a stack consisting of [[13/8]] and [[17/16]] exceeds a stack of two [[21/16]]s. It differs from [[441/440]] (werckisma) by [[Scintillisma|194481/194480]] (scintillisma) – an [[unnoticeable comma]] measuring ~0.0089 cents. By tempering it out is defined the '''seminaiadmic temperament''', which enables the [[seminaiadmic chords]].
 == Commatic relations ==
@@ Line 25: / Line 25: @@
 * [[676/675]] and [[1275/1274]]
 * [[715/714]] and [[1156/1155]]
+== Etymology ==
+The name ''seminaiadma'' was named by [[User:Xenllium|Xenllium]] in 2023, for the following reasons - its size is about a half of minor naiadma, [[221/220]] (similar to [[semicomma]], whose size is about a half of [[81/80|syntonic comma]]). Tempering it out leads equating 21/17 and 26/21 into a single submajor third interval, two of which give an [[interseptimal interval]], [[26/17]] ([[octave complement]] of a naiadic interval, [[17/13]]).
 == See also ==
 * [[Small comma]]
 * [[List of superparticular intervals]]
+[[Category:Seminaiadmic]]