30/17: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 category edits (talk | contribs)
m Removing from Category:Listen using Cat-a-lot
Fredg999 (talk | contribs)
m Misc. edits, categories
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 30/17
| Ratio = 30/17
| Monzo = 1 1 1 0 0 0 -1
| Monzo = 1 1 1 0 0 0 -1
Line 8: Line 7:
| 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]] (18\22, 4\22).
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).


== 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:17-limit]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]

Revision as of 12:36, 23 March 2022

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 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 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 (18\22, 4\22).

See also