30/17: Difference between revisions

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'''30/17'''
{{Infobox Interval
|1 1 1 0 0 0 -1>
| Icon =
| Ratio = 30/17
| Monzo = 1 1 1 0 0 0 -1
| Cents = 983.31331
| Name = septendecimal minor seventh
| Color name = 17uy6, suyo 6th
| Sound = jid_30_17_pluck_adu_dr220.mp3
}}
In [[17-limit]] [[just intonation]], '''30/17''' is the '''septendecimal minor seventh''', measuring about 983.3¢. 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]].


983.3133 cents
== See also ==
* [[17/15]] its [[inverse interval]]
* [[Gallery of just intervals]]


[[File:jid_30_17_pluck_adu_dr220.mp3]] [[:File:jid_30_17_pluck_adu_dr220.mp3|sound sample]]
[[Category:17-limit]]
 
[[Category:Interval]]
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 30/17 is the "septendecimal minor seventh," measuring about 983.3¢. It is the [[mediant|mediant]] between [[7/4|7/4]] and [[23/13|23/13]]. Its inversion is [[17/15|17/15]], the "septendecimal whole tone" -- both of these intervals are well-approximated in [[22edo|22edo]].
[[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 30/17
Factorization 2 × 3 × 5 × 17-1
Monzo [1 1 1 0 0 0 -1⟩
Size in cents 983.3133¢
Name septendecimal minor seventh
Color name 17uy6, suyo 6th
FJS name [math]\displaystyle{ \text{A6}^{5}_{17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.99435
Weil norm (log2 max(n, d)) 9.81378
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 30/17 is the septendecimal minor seventh, measuring about 983.3¢. 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.

See also

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