26/17: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = septendecimal superfifth
| Ratio = 26/17
| Color name = 17u3o5, sutho 5th
| Monzo = 1 0 0 0 0 1 -1
| Cents = 735.57225
| Name = septendecimal super-fifth
| Color name =  
| FJS name =
| Sound = jid_26_17_pluck_adu_dr220.mp3
| Sound = jid_26_17_pluck_adu_dr220.mp3
}}
}}


In [[17-limit]] [[Just Intonation]], '''26/17''' is the ''septendecimal super-fifth''. It differs from a [[3/2]] perfect fifth by the [[comma]] [[52/51]], about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of [[List of root-3rd-P5 triads in JI|root-3rd-P5]] chords – in particular, 17:20:26, 17:21:26, 17:22:26.
In [[17-limit]] [[just intonation]], '''26/17''' is the '''septendecimal superfifth'''. It differs from the [[3/2]] perfect fifth by the [[comma]] [[52/51]], about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of [[List of root-3rd-P5 triads in JI|root-3rd-P5]] chords – in particular, 17:20:26, 17:21:26, 17:22:26.


26/17 is the [[mediant]] of 3/2 and [[23/15]]. Its [[octave complement]] is [[17/13]], the septendecimal sub-fourth.
26/17 is the [[mediant]] of 3/2 and [[23/15]].  


See: [[Gallery of Just Intervals]]
It is less than 0.2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).


[[Category:Interseptimal]]
== See also ==
[[Category:17-limit]]
* [[17/13]] – its [[octave complement]]
[[Category:Just interval]]
* [[Gallery of just intervals]]
 
[[Category:Fifth]]
[[Category:Superfifth]]
[[Category:Interseptimal intervals]]

Latest revision as of 03:27, 28 April 2023

Interval information
Ratio 26/17
Subgroup monzo 2.13.17 [1 1 -1⟩
Size in cents 735.5723¢
Name septendecimal superfifth
Color name 17u3o5, sutho 5th
FJS name [math]\displaystyle{ \text{P5}^{13}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.7879
Weil height (log2 max(n, d)) 9.40088
Wilson height (sopfr(nd)) 32

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 26/17 is the septendecimal superfifth. It differs from the 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords – in particular, 17:20:26, 17:21:26, 17:22:26.

26/17 is the mediant of 3/2 and 23/15.

It is less than 0.2 cents sharp of 31edo's superfifth of 735.48¢ (19\31).

See also

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