32/17: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 32/17 | | Ratio = 32/17 | ||
| Monzo = 5 0 0 0 0 0 -1 | | Monzo = 5 0 0 0 0 0 -1 | ||
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| Sound = jid_32_17_pluck_adu_dr220.mp3 | | 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". | |||
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 == | == See also == | ||
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[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Seventh]] | [[Category:Seventh]] | ||
[[Category:Major seventh]] | [[Category:Major seventh]] | ||
[[Category:Octave-reduced subharmonics]] |
Revision as of 12:44, 23 March 2022
Interval information |
reduced subharmonic
[sound info]
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.