26/17: Difference between revisions

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{{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

}}

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).

== Approximation ==

== See also ==

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

* [[Gallery of just intervals]]

[[Category:~~Interseptimal~~]]

[[Category:Fifth]]

[[Category:~~17-limit~~]]

[[Category:Superfifth]]

[[Category:~~Just interval~~]]

[[Category:Interseptimal intervals]]

@@ Line 1: / Line 1: @@
 {{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
 }}
-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.
-/17 is the [[mediant]] of 3/2 and [[23/15]]. Its [[octave complement]] is [[17/13]], the septendecimal sub-fourth.
+/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).
+== Approximation ==
+{{Interval edo approximation|26/17}}
+== See also ==
+* [[17/13]] – its [[octave complement]]
+* [[Gallery of just intervals]]
-[[Category:Interseptimal]]
+[[Category:Fifth]]
-[[Category:17-limit]]
+[[Category:Superfifth]]
-[[Category:Just interval]]
+[[Category:Interseptimal intervals]]