26/17: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
+edo approximation; cleanup; +FJS name; +categories
m Cleanup +1
Line 10: Line 10:
}}
}}


In [[17-limit]] [[Just Intonation]], '''26/17''' is the '''septendecimal superfifth'''. 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]].  
26/17 is the [[mediant]] of 3/2 and [[23/15]].  


It is less than .2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).
It is less than 0.2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).


== See also ==
== See also ==

Revision as of 07:23, 20 January 2021

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