Island chords: Difference between revisions

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~~The~~ '''island ~~tetrad~~''' is an [[~~Dyadic chord#Essentially tempered dyadic chords|~~essentially tempered dyadic chord]] which under [[octave reduction]] consists of three [[15/13]] intervals followed by a [[13/10]], which closes on the octave since the island comma, [[676/675]], is [[tempering out|tempered out]]; in other words ~~a 15/13-15/13-15/13-13/10 chord. It can also be viewed as~~ an island tempered version of 1-15/13-[[4/3]]-[[20/13]]. Contained within it are a [[barbados triad]], ~~the~~ 1-13/10-[[3/2]] ~~chord~~, and an [[island triad]], ~~the~~ 1-15/13-4/3 ~~chord~~, which in another position is the 1-3/2-[[26/15]] chord. Another island ~~chord~~ of interest is a 26/15 over a major triad, 1-5/4-3/2-26/15, 5/4-6/5-15/13-15/13 ~~in terms of intervals~~.

An '''island chord''' is an [[15-odd-limit]] [[essentially tempered dyadic chord]] which is tempered by [[676/675]] (island comma).

The island tetrad under [[octave reduction]] consists of three [[15/13]] intervals followed by a [[13/10]], which closes on the octave since the island comma, [[676/675]], is [[tempering out|tempered out]]; in other words an island tempered version of

* 1-15/13-[[4/3]]-[[20/13]], with steps 15/13-15/13-15/13-13/10.

Contained within it are a '''barbados triad''',

* 1-13/10-[[3/2]], with steps 13/10-15/13-4/3,

its inversion,

* 1-15/13-3/2, with steps 15/13-13/10-4/3,

and an '''island triad''',

* 1-15/13-4/3, with steps 15/13-15/13-3/2,

which in another position is the 1-3/2-[[26/15]] chord.

Another island tetrad of interest is a 26/15 over a major triad,

* 1-5/4-3/2-26/15, with steps 5/4-6/5-15/13-15/13,

and its inversion,

* 1-6/5-3/2-26/15, with steps 6/5-5/4-15/13-15/13.

== See also ==

* [[Arto and Tendo Theory]]

* [[The Archipelago]]

[[Category:15-limit]]

[[Category:15-odd-limit]]

[[Category:~~Dyadic~~]]

[[Category:Essentially tempered chords]]

[[Category:Island]]

[[Category:Tetrad]]

[[Category:Island]]

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-The '''island tetrad''' is an [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic chord]] which under [[octave reduction]] consists of three [[15/13]] intervals followed by a [[13/10]], which closes on the octave since the island comma, [[676/675]], is [[tempering out|tempered out]]; in other words a 15/13-15/13-15/13-13/10 chord. It can also be viewed as an island tempered version of 1-15/13-[[4/3]]-[[20/13]]. Contained within it are a [[barbados triad]], the 1-13/10-[[3/2]] chord, and an [[island triad]], the 1-15/13-4/3 chord, which in another position is the 1-3/2-[[26/15]] chord. Another island chord of interest is a 26/15 over a major triad, 1-5/4-3/2-26/15, 5/4-6/5-15/13-15/13 in terms of intervals.
+An '''island chord''' is an [[15-odd-limit]] [[essentially tempered dyadic chord]] which is tempered by [[676/675]] (island comma).
+The island tetrad under [[octave reduction]] consists of three [[15/13]] intervals followed by a [[13/10]], which closes on the octave since the island comma, [[676/675]], is [[tempering out|tempered out]]; in other words an island tempered version of
+* 1-15/13-[[4/3]]-[[20/13]], with steps 15/13-15/13-15/13-13/10.
+Contained within it are a '''barbados triad''',
+* 1-13/10-[[3/2]], with steps 13/10-15/13-4/3,
+its inversion,
+* 1-15/13-3/2, with steps 15/13-13/10-4/3,
+and an '''island triad''',
+* 1-15/13-4/3, with steps 15/13-15/13-3/2,
+which in another position is the 1-3/2-[[26/15]] chord.
+Another island tetrad of interest is a 26/15 over a major triad,
+* 1-5/4-3/2-26/15, with steps 5/4-6/5-15/13-15/13,
+and its inversion,
+* 1-6/5-3/2-26/15, with steps 6/5-5/4-15/13-15/13.
 == See also ==
 * [[Arto and Tendo Theory]]
+* [[The Archipelago]]
-[[Category:15-limit]]
+[[Category:15-odd-limit]]
-[[Category:Dyadic]]
+[[Category:Essentially tempered chords]]
 [[Category:Island]]
 [[Category:Tetrad]]
+[[Category:Island]]