26/17: Difference between revisions

Line 4:

| Monzo = 1 0 0 0 0 1 -1

| Cents = 735.57225

| Name = septendecimal ~~super-fifth~~

| Name = septendecimal superfifth

| Color name =

| FJS name =

| FJS name = P5<sup>13</sup><sub>17</sub>

| 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 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.

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 .2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).

== See also ==

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

* [[Gallery of just intervals]]

[[Category:17-limit]]

[[Category:Interval]]

[[Category:Fifth]]

[[Category:Superfifth]]

[[Category:Interseptimal]]

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

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

@@ Line 4: / Line 4: @@
 | Monzo = 1 0 0 0 0 1 -1
 | Cents = 735.57225
-| Name = septendecimal super-fifth
+| Name = septendecimal superfifth
 | Color name =
-| FJS name =
+| FJS name = P5<sup>13</sup><sub>17</sub>
 | 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 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.
-/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 .2 cents sharp of [[31edo]]'s superfifth of 735.48¢ (19\31).
+== See also ==
+* [[17/13]] – its [[octave complement]]
+* [[Gallery of just intervals]]
+[[Category:17-limit]]
+[[Category:Interval]]
+[[Category:Fifth]]
+[[Category:Superfifth]]
 [[Category:Interseptimal]]
-[[Category:17-limit]]
-[[Category:Just interval]]