32/17: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 32/17

| Monzo = 5 0 0 0 0 0 -1

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| Sound = jid_32_17_pluck_adu_dr220.mp3

}}

In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".

In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".

There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In the [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.

There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.

== See also ==

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[[Category:17-limit]]

~~[[Category:Interval ratio]]~~

~~[[Category:Just interval]]~~

[[Category:Seventh]]

[[Category:Major seventh]]

[[Category:Octave-reduced subharmonics]]

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 {{Infobox Interval
-| Icon =
 | Ratio = 32/17
 | Monzo = 5 0 0 0 0 0 -1
@@ Line 9: / Line 8: @@
 | Sound = jid_32_17_pluck_adu_dr220.mp3
 }}
+In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".
-In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".
+There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In the [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.
-There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.
 == See also ==
@@ Line 19: / Line 17: @@
 [[Category:17-limit]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Seventh]]
 [[Category:Major seventh]]
+[[Category:Octave-reduced subharmonics]]