30/17: Difference between revisions

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m Normalising usage of Infobox Interval
We finally have a clearer modifier to describe this interval
 
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{{Infobox Interval
{{Infobox Interval
| Name = septendecimal minor seventh
| Name = diatismic 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 983.3{{cent}}. 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]] (18\22, 4\22).
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 ==
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[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]
[[Category:Diatismic]]

Latest revision as of 13:45, 1 June 2024

Interval information
Ratio 30/17
Factorization 2 × 3 × 5 × 17-1
Monzo [1 1 1 0 0 0 -1
Size in cents 983.3133¢
Name diatismic minor seventh
Color name 17uy6, suyo 6th
FJS name [math]\displaystyle{ \text{A6}^{5}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.99435
Weil height (log2 max(n, d)) 9.81378
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 30/17 is the diatismic minor seventh, measuring about 983.3 ¢. It falls short of the Pythagorean minor seventh (16/9) by a 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