357/256: Difference between revisions

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The '''merry tritone''', '''357/256''', is a close approximation to 12\25, hence the name. It is also a rather good approximation to [[32/23]] at about four cents (or [[~~8211~~/~~8192~~]]~~) away~~.

The '''merry tritone''', '''357/256''', is a close approximation to [[25edo#Intervals|12\25]], hence the name. It is also a rather good approximation to [[32/23]] at [[8211/8192]] (about four cents) away. In the same region ('flat [[tritone]]'), we have [[25/18]] at [[3213/3200]] down and [[7/5]] at [[256/255]] up.

== Terminology and notation ==

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For 357/256 specifically:

* In [[Functional Just System]], it is a diminished fifth, separated by [[4131/4096]] from the [[1024/729|Pythagorean diminished fifth (1024/729)]] less a [[64/63]]

* In [[Functional Just System]], it is a diminished fifth, separated by [[4131/4096]] from the [[1024/729|Pythagorean diminished fifth (1024/729)]] less a [[64/63]].

* In [[Helmholtz-Ellis notation]], it is an augmented fourth, separated by [[2187/2176]] from the [[729/512|Pythagorean augmented fourth (729/512)]] less a [[64/63]].

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[[Category:Tritone]]

[[Category:Octave-reduced harmonics]]

[[Category:25edo]]

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 }}
-The '''merry tritone''', '''357/256''', is a close approximation to 12\25, hence the name. It is also a rather good approximation to [[32/23]] at about four cents (or [[8211/8192]]) away.
+The '''merry tritone''', '''357/256''', is a close approximation to [[25edo#Intervals|12\25]], hence the name. It is also a rather good approximation to [[32/23]] at [[8211/8192]] (about four cents) away. In the same region ('flat [[tritone]]'), we have [[25/18]] at [[3213/3200]] down and [[7/5]] at [[256/255]] up.
 == Terminology and notation ==
@@ Line 10: / Line 10: @@
 For 357/256 specifically:
-* In [[Functional Just System]], it is a diminished fifth, separated by [[4131/4096]] from the [[1024/729|Pythagorean diminished fifth (1024/729)]] less a [[64/63]]
+* In [[Functional Just System]], it is a diminished fifth, separated by [[4131/4096]] from the [[1024/729|Pythagorean diminished fifth (1024/729)]] less a [[64/63]].
 * In [[Helmholtz-Ellis notation]], it is an augmented fourth, separated by [[2187/2176]] from the [[729/512|Pythagorean augmented fourth (729/512)]] less a [[64/63]].
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 [[Category:Tritone]]
 [[Category:Octave-reduced harmonics]]
+[[Category:25edo]]