Hendrix chord: Difference between revisions

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The '''hendrix chord''', a ~~dom7~~#9no5 chord, ~~can be tuned~~ as an 8:10:14:19 ~~chord =~~ [[~~Kite's color notation~~|h7,~~19o10no5~~]]~~. An alternate tuning is~~ 12:15:21:28, or 1/1 - [[5/4]] - [[7/4]] - [[7/3]] = [[~~Kite's color notation|h7z10no5~~]].

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

It can also be tuned as an [[Dyadic chord|essentially tempered]] chord that splits the difference between the [[19/16|19/8]] ~~ino~~ 10th and the [[7/3]] zo 10th.~~<sup> </sup>~~ 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.

It can also be tuned as an [[Dyadic chord|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.

[[Category:Hendrix| ]]

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[[Category:Tetrads]]

{{Todo|review|inline=1|text=The ~~Hendrix chord usually takes a specific voicing into consideration~~, ~~a fact that is omitted here. Clarifications needed~~.}}

{{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 dom7#9no5 chord, can be tuned as an 8:10:14:19 chord = [[Kite's color notation|h7,19o10no5]]. An alternate tuning is 12:15:21:28, or 1/1 - [[5/4]] - [[7/4]] - [[7/3]] = [[Kite's color notation|h7z10no5]].
+The '''hendrix chord''', a 7#9no5 chord, has several possible 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]].
-It can also be tuned as an [[Dyadic chord|essentially tempered]] chord that splits the difference between the [[19/16|19/8]] ino 10th and the [[7/3]] zo 10th.<sup> </sup> 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.
+It can also be tuned as an [[Dyadic chord|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.
 [[Category:Hendrix| ]] <!-- main article -->
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 [[Category:Tetrads]]
-{{Todo|review|inline=1|text=The Hendrix chord usually takes a specific voicing into consideration, a fact that is omitted here. Clarifications needed.}}
+{{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}}