Hendrix chord: Difference between revisions
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categories: remove "19-odd-limit chords" and "7-odd-limit chords" (not something I want to curate) |
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[[Category:7-odd-limit]] | [[Category:7-odd-limit]] | ||
[[Category:19-limit chords]] | [[Category:19-limit chords]] | ||
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[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Tetrads]] | [[Category:Tetrads]] | ||
{{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}} | {{Todo|review|inline=1|text=The paragraph about tempering 57/56 needs more explanation, and may be incorrect.}} | ||
Revision as of 20:32, 11 August 2024
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 - 19/8, 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.
See also
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Todo: review The paragraph about tempering 57/56 needs more explanation, and may be incorrect. |