Hendrix chord
The hendrix chord, a 7#9no5 chord originating from 12edo, has several possible interpretations.
JI interpretations
Interpretations as a just intonation chord.
5-limit
Chord information |
In the 5-limit it may be tuned as 10:20:25:36:40:48, an extended major-minor seventh chord.
This chord appears in 20afdo and all higher AFDOs.
According to this interpretation, the 12edo hendrix chord has 30.2 cents of total error and no more than 17.6 cents error on any single interval.
EDOs with less than 20 cents error on any one interval include: 12, 15, 18, 19, 22, 24, 26, 27, 28... and everything bigger than 28.
EDOs up to 100 with successively lower error include: 4, 5, 6, 7, 12, 19, 34, 46, 53.
7-limit
Chord information |
In the 7-limit it may be tuned as 6:12:15:21:24:28, an extended harmonic seventh chord.
This chord appears in 12afdo and all higher AFDOs.
According to this interpretation, the 12edo hendrix chord has 78.0 cents of total error and no more than 33.1 cents error on any single interval.
EDOs with less than 35 cents error on any one interval include: 10, 12, 15, 16, 17... and everything bigger than 17.
EDOs up to 100 with successively lower error include: 4, 6, 9, 10, 19, 21, 22, 31, 68, 99.
19-limit
Chord information |
In the 19-limit it may be tuned as 4:8:10:14:16:19, an extended harmonic seventh chord.
This chord appears in 8afdo and all higher AFDOs.
According to this interpretation, the 12edo hendrix chord has 47.4 cents of total error and no more than 33.1 cents error on any single interval.
EDOs with less than 35 cents error on any one interval include: 12, 15, 16, 17... and everything bigger than 17.
EDOs up to 100 with successively lower error include: 4, 7, 9, 12, 15, 16, 25, 37, 53, 56, 68, 93.
Tempered interpretations
Interpretations as a tempered chord.
Essentially tempered
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.
EDOs including this chord are 9, 10, 12, 14, 16, 17, 21, 22, 26, and 31.