Hendrix chord: Difference between revisions
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add 5-limit JI interpretation; remove color notations; update Todo |
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{{Wikipedia|Dominant seventh sharp ninth chord#Hendrix chord}} | {{Wikipedia|Dominant seventh sharp ninth chord#Hendrix chord}} | ||
The '''hendrix chord''', a | 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]] | 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 --> | [[Category:Hendrix| ]] <!-- main article --> | ||
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[[Category:Tetrads]] | [[Category:Tetrads]] | ||
{{Todo|review|inline=1|text=The | {{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}} | ||
Revision as of 04:54, 8 August 2024
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 - 19/8, 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 essentially tempered chord that splits the difference between the 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 9, 10, 14, 16, 17, 21, 22, 26, and 31 equal divisions.
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Todo: review The paragraph about tempering 57/56 needs more explanation, and may be incorrect. |