Hendrix chord: Difference between revisions

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~~The '''hendrix chord''', a 7#9no5 [[chord]], has several possible [[JI]] interpretations:~~

* in the [[19-limit]] as 4:8:10:14:16:19, or 1/2 - 1/1 - [[5/4]] - [[7/4]] - [[2/1]] - [[19/16|19/8]], an extended [[harmonic seventh chord]];

* in the [[7-limit]] as 6:12:15:21:24:28, or 1/2 - 1/1 - 5/4 - 7/4 - 2/1 - [[7/3]], also an extended harmonic seventh chord;

* or in the [[5-limit]] as 10:20:25:36:40:48, or 1/2 - 1/1 - 5/4 - [[9/5]] - 2/1 - [[12/5]], an extended [[major-minor seventh chord]].

The '''hendrix chord''', a 7#9no5 [[chord]], has several possible [[JI]] interpretations.

In the [[19-limit]] it may be tuned as 4:8:10:14:16:19, or 1/2 - 1/1 - [[5/4]] - [[7/4]] - [[2/1]] - [[19/16|19/8]], an extended [[harmonic seventh chord]].

In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, or 1/2 - 1/1 - 5/4 - 7/4 - 2/1 - [[7/3]], also an extended harmonic seventh chord.

</div>

In the [[5-limit]] it may be tuned as 10:20:25:36:40:48, or 1/2 - 1/1 - 5/4 - [[9/5]] - 2/1 - [[12/5]], an extended [[major-minor seventh chord]].

It can also be tuned as an [[essentially tempered chord]] that splits the difference between the [[19/16|19/8]] 10th and the [[7/3]] 10th. This chord tempers out the ''hendrix comma'' of [[57/56]]. It is notable for existing in [[12-EDO]]; other equal divisions with hendrix chords include the {{EDOs| 9, 10, 14, 16, 17, 21, 22, 26, and 31}} equal divisions.

~~== See also ==~~

* [[Tetrad]]

[[Category:Hendrix| ]]

~~[[Category:19-limit chords]]~~

~~[[Category:19-odd-limit chords]]~~

~~[[Category:7-limit chords]]~~

~~[[Category:15-odd-limit chords]]~~

~~[[Category:5-limit chords]]~~

~~[[Category:25-odd-limit chords]]~~

[[Category:Essentially tempered chords]]

~~[[Category:Tetrads]]~~

{{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}}

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 {{Wikipedia|Dominant seventh sharp ninth chord#Hendrix chord}}
-The '''hendrix chord''', a 7#9no5 [[chord]], has several possible [[JI]] interpretations:
-* in the [[19-limit]] as 4:8:10:14:16:19, or 1/2 - 1/1 - [[5/4]] - [[7/4]] - [[2/1]] - [[19/16|19/8]], an extended [[harmonic seventh chord]];
-* in the [[7-limit]] as 6:12:15:21:24:28, or 1/2 - 1/1 - 5/4 - 7/4 - 2/1 - [[7/3]], also an extended harmonic seventh chord;
-* or in the [[5-limit]] as 10:20:25:36:40:48, or 1/2 - 1/1 - 5/4 - [[9/5]] - 2/1 - [[12/5]], an extended [[major-minor seventh chord]].
+The '''hendrix chord''', a 7#9no5 [[chord]], has several possible [[JI]] interpretations.
+{{Infobox Chord|4:8:10:14:16:19|Name=19-limit Hendrix}}
+In the [[19-limit]] it may be tuned as 4:8:10:14:16:19, or 1/2 - 1/1 - [[5/4]] - [[7/4]] - [[2/1]] - [[19/16|19/8]], an extended [[harmonic seventh chord]].
+{{Infobox Chord|6:12:15:21:24:28|Name=7-limit Hendrix}}
+In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, or 1/2 - 1/1 - 5/4 - 7/4 - 2/1 - [[7/3]], also an extended harmonic seventh chord.
+</div>
+{{Infobox Chord|10:20:25:36:40:48|Name=5-limit Hendrix}}
+In the [[5-limit]] it may be tuned as 10:20:25:36:40:48, or 1/2 - 1/1 - 5/4 - [[9/5]] - 2/1 - [[12/5]], an extended [[major-minor seventh chord]].
+{{Clear}}
 It can also be tuned as an [[essentially tempered chord]] that splits the difference between the [[19/16|19/8]] 10th and the [[7/3]] 10th. This chord tempers out the ''hendrix comma'' of [[57/56]]. It is notable for existing in [[12-EDO]]; other equal divisions with hendrix chords include the {{EDOs| 9, 10, 14, 16, 17, 21, 22, 26, and 31}} equal divisions.
-== See also ==
-* [[Tetrad]]
 [[Category:Hendrix| ]] <!-- main article -->
-[[Category:19-limit chords]]
-[[Category:19-odd-limit chords]]
-[[Category:7-limit chords]]
-[[Category:15-odd-limit chords]]
-[[Category:5-limit chords]]
-[[Category:25-odd-limit chords]]
 [[Category:Essentially tempered chords]]
-[[Category:Tetrads]]
 {{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}}