32/17: Difference between revisions

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'''32/17'''
{{Infobox Interval
|5 0 0 0 0 0 -1>
| Icon =
| Ratio = 32/17
| Monzo = 5 0 0 0 0 0 -1
| Cents = 1095.04459
| Name = small septendecimal major seventh
| Color name = 17u7, su 7th
| 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¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".


1095.0446 cents
== See also ==
* [[17/16]] its [[inverse interval]]
* [[Gallery of just intervals]]


[[File:jid_32_17_pluck_adu_dr220.mp3]] [[:File:jid_32_17_pluck_adu_dr220.mp3|sound sample]]
[[Category:17-limit]]
 
[[Category:Interval]]
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 32/17 is the "small septendecimal major seventh," as well as the 17th [[subharmonic|subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant|mediant]] between [[15/8|15/8]] and [[17/9|17/9]], the "large septendecimal major seventh". Its inversion is [[17/16|17/16]], the "large septendecimal semitone".
[[Category:Just interval]]
 
[[Category:Ratio]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
[[Category:Sound example]]
[[Category:Seventh]]

Revision as of 23:02, 26 October 2018

Interval information
Ratio 32/17
Subgroup monzo 2.17 [5 -1⟩
Size in cents 1095.045¢
Name small septendecimal major seventh
Color name 17u7, su 7th
FJS name [math]\displaystyle{ \text{M7}_{17} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 9.08746
Weil height (log2 max(n, d)) 10
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

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".

See also

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