30/17: Difference between revisions

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reworked: simplified links; introduced infobox interval; added categories
We finally have a clearer modifier to describe this interval
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = diatismic minor seventh
| Ratio = 30/17
| Monzo = 1 1 1 0 0 0 -1
| Cents = 983.31331
| Name = septendecimal minor seventh
| Color name = 17uy6, suyo 6th
| Color name = 17uy6, suyo 6th
| Sound = jid_30_17_pluck_adu_dr220.mp3
| Sound = jid_30_17_pluck_adu_dr220.mp3
}}
}}
In [[17-limit]] [[just intonation]], '''30/17''' is the '''septendecimal minor seventh''', measuring about 983.. It is the [[mediant]] between [[7/4]] and [[23/13]]. Its inversion is [[17/15]], the "septendecimal whole tone" -- both of these intervals are well-approximated in [[22edo|22edo]].
In [[17-limit]] [[just intonation]], '''30/17''' is the '''diatismic minor seventh''', measuring about 983.3{{cent}}. It falls short of the [[16/9|Pythagorean minor seventh (16/9)]] by a [[136/135|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/4]] and [[23/13]]. Its inversion is [[17/15]], the "septendecimal whole tone"; both of these intervals are well approximated in [[22edo]] (18\22, 4\22).


== See also ==
== See also ==
* [[17/15]] its [[inverse interval]]
 
* [[17/15]] its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:17-limit]]
[[Category:Interval]]
[[Category:Just interval]]
[[Category:Ratio]]
[[Category:Sound example]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Diatismic]]