26/17: Difference between revisions

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~~'''26/17'''~~

{{Infobox Interval

|~~1 0 0 0 0 1 -1>~~

| Name = septendecimal superfifth

| Color name = 17u3o5, sutho 5th

| Sound = jid_26_17_pluck_adu_dr220.mp3

}}

~~735~~.~~5723 cents~~

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.

[[~~File:jid_26_17_pluck_adu_dr220.mp3~~]] [[~~:File:jid_26_17_pluck_adu_dr220.mp3|sound sample~~]]

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

~~In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 26/17~~ is ~~the "septendecimal super-fifth," measuring about 735~~.~~6¢. It differs from a [[3/~~2~~|3/2]] perfect fifth by the~~ [[~~Comma|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.

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

26/~~17 is the~~ [[~~mediant|mediant~~]] ~~between 3/2 and 23/15. Its inversion is~~ [[~~17/13|17/13~~]]~~, the "septendecimal sub-fourth".~~

== See also ==

* [[17/13]] – its [[octave complement]]

* [[Gallery of just intervals]]

~~See~~: [[~~Gallery_of_Just_Intervals|Gallery of Just Intervals~~]]

[[Category:Fifth]]

[[Category:Superfifth]]

[[Category:Interseptimal]]

[[Category:Interseptimal intervals]]

@@ Line 1: / Line 1: @@
-'''26/17'''
+{{Infobox Interval
-|1 0 0 0 0 1 -1&gt;
+| Name = septendecimal superfifth
+| Color name = 17u3o5, sutho 5th
+| Sound = jid_26_17_pluck_adu_dr220.mp3
+}}
-.5723 cents
+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.
-[[File:jid_26_17_pluck_adu_dr220.mp3]] [[:File:jid_26_17_pluck_adu_dr220.mp3|sound sample]]
+/17 is the [[mediant]] of 3/2 and [[23/15]].
-In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 26/17 is the "septendecimal super-fifth," measuring about 735.6¢. It differs from a [[3/2|3/2]] perfect fifth by the [[Comma|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.
+It is less than 0.2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).
-/17 is the [[mediant|mediant]] between 3/2 and 23/15. Its inversion is [[17/13|17/13]], the "septendecimal sub-fourth".
+== See also ==
+* [[17/13]] – its [[octave complement]]
+* [[Gallery of just intervals]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:Fifth]]
+[[Category:Superfifth]]
-[[Category:Interseptimal]]
+[[Category:Interseptimal intervals]]