Hendrix chord: Difference between revisions

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The '''hendrix chord''', a 7#9no5 [[chord]] originating from [[12edo]], has several possible interpretations.

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

== JI interpretations ==

Interpretations as a [[just intonation]] chord:

=== 5-limit ===

{{Infobox Chord|10:20:25:36:40:48|ColorName=yo gu-7 guqu-9 no-5 or y,g7gq9no5|Root=20}}

In the [[5-limit]] it may be tuned as 10:20:25:36:40:48, an extended [[20:25:30:36|major-minor seventh chord]].

=== 7-limit ===

{{Infobox Chord|6:12:15:21:24:28|ColorName=har-7 zoqu-9 no-5 or h7zq9no5|Root=12}}

In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, also an extended harmonic seventh chord.

=== 19-limit ===

{{Infobox Chord|4:8:10:14:16:19|ColorName=har-7 noqu-9 no-5 or h7,19oq9no5|Root=8}}

In the [[19-limit]] it may be tuned as 4:8:10:14:16:19, an extended [[4:5:6:7|harmonic seventh chord]].

~~{{Infobox Chord|6:12:15:21:24:28|ColorName~~=~~har-7 zoqu-9 no-5 or h7zq9no5|Root~~=~~12}}~~

== Tempered interpretations ==

~~In the~~ [[~~7-limit~~]] ~~it may be tuned as 6:12:15:21:24:28, also an extended harmonic seventh~~ chord.

Interpretations as a [[temperament|tempered]] chord.

~~</div>~~

~~{{Infobox Chord|10:20:25:36:40:48|ColorName~~=~~yo gu-7 guqu-9 no-5 or y,g7gq9no5|Root~~=~~20}}~~

=== Essentially tempered ===

In the [[~~5-limit~~]] ~~it may be tuned as 10:20:25:36:40:48, an extended~~ [[~~20:25:30:36|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]].

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

~~{{Clear}}~~

=== In EDOs ===

~~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~~.

[[EDO]]s with hendrix chords include the {{EDOs|9, 10, 14, 16, 17, 21, 22, 26, and 31}}.

{{Todo|complete section|inline=1|text=Explain the reasoning for exactly when an EDO is considered to "have" a Hendrix chord and when not.}}

[[Category:Hendrix| ]]

[[Category:Essentially tempered chords]]

[[Category:Just intonation chords]]

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

@@ Line 1: / Line 1: @@
 {{Wikipedia|Dominant seventh sharp ninth chord#Hendrix chord}}
+The '''hendrix chord''', a 7#9no5 [[chord]] originating from [[12edo]], has several possible interpretations.
+{{clear}}
-The '''hendrix chord''', a 7#9no5 [[chord]], has several possible [[JI]] interpretations.
+== JI interpretations ==
+Interpretations as a [[just intonation]] chord:
+=== 5-limit ===
+{{Infobox Chord|10:20:25:36:40:48|ColorName=yo gu-7 guqu-9 no-5 or y,g7gq9no5|Root=20}}
+In the [[5-limit]] it may be tuned as 10:20:25:36:40:48, an extended [[20:25:30:36|major-minor seventh chord]].
+{{clear}}
+=== 7-limit ===
+{{Infobox Chord|6:12:15:21:24:28|ColorName=har-7 zoqu-9 no-5 or h7zq9no5|Root=12}}
+In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, also an extended harmonic seventh chord.
+{{clear}}
+=== 19-limit ===
 {{Infobox Chord|4:8:10:14:16:19|ColorName=har-7 noqu-9 no-5 or h7,19oq9no5|Root=8}}
 In the [[19-limit]] it may be tuned as 4:8:10:14:16:19, an extended [[4:5:6:7|harmonic seventh chord]].
+{{clear}}
-{{Infobox Chord|6:12:15:21:24:28|ColorName=har-7 zoqu-9 no-5 or h7zq9no5|Root=12}}
+== Tempered interpretations ==
-In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, also an extended harmonic seventh chord.
+Interpretations as a [[temperament|tempered]] chord.
-</div>
-{{Infobox Chord|10:20:25:36:40:48|ColorName=yo gu-7 guqu-9 no-5 or y,g7gq9no5|Root=20}}
+=== Essentially tempered ===
-In the [[5-limit]] it may be tuned as 10:20:25:36:40:48, an extended [[20:25:30:36|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]].
+{{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}}
-{{Clear}}
+=== In EDOs ===
-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.
+[[EDO]]s with hendrix chords include the {{EDOs|9, 10, 14, 16, 17, 21, 22, 26, and 31}}.
+{{Todo|complete section|inline=1|text=Explain the reasoning for exactly when an EDO is considered to "have" a Hendrix chord and when not.}}
 [[Category:Hendrix| ]] <!-- main article -->
 [[Category:Essentially tempered chords]]
 [[Category:Just intonation chords]]
-{{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}}