Hendrix chord
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Harmonics
4:8:10:14:16:19
Intervals from root
1/2 – 1/1 – 5/4 – 7/4 – 2/1 – 19/8
Cents from root
-1200¢ 0¢ 386¢ 969¢ 1200¢ 1498¢
Step intervals
2/1, 5/4, 7/5, 8/7, 19/16
Step cents
1200¢, 386¢, 583¢, 231¢, 298¢
Color name
har-7 noqu-9 no-5 or h7,19oq9no5
Prime limit
19
Genus
5 ⋅ 7 ⋅ 19 (665)
Intervallic odd limit
19
Otonal odd limit
19
Utonal odd limit
665
Consistent edos (d≥1.5)
4edo, 12edo, 16edo*, 25edo*, …
Harmonics
6:12:15:21:24:28
Intervals from root
1/2 – 1/1 – 5/4 – 7/4 – 2/1 – 7/3
Cents from root
-1200¢ 0¢ 386¢ 969¢ 1200¢ 1467¢
Step intervals
2/1, 5/4, 7/5, 8/7, 7/6
Step cents
1200¢, 386¢, 583¢, 231¢, 267¢
Color name
har-7 zoqu-9 no-5 or h7zq9no5
Prime limit
7
Genus
3 ⋅ 5 ⋅ 7 (105)
Intervallic odd limit
15
Otonal odd limit
21
Utonal odd limit
35
Consistent edos (d≥1.5)
10edo*, 12edo, 21edo, 22edo, …
Harmonics
10:20:25:36:40:48
Intervals from root
1/2 – 1/1 – 5/4 – 9/5 – 2/1 – 12/5
Cents from root
-1200¢ 0¢ 386¢ 1018¢ 1200¢ 1516¢
Step intervals
2/1, 5/4, 36/25, 10/9, 6/5
Step cents
1200¢, 386¢, 631¢, 182¢, 316¢
Color name
yo gu-7 guqu-9 no-5 or y,g7gq9no5
Prime limit
5
Genus
32 ⋅ 52 (225)
Intervallic odd limit
25
Otonal odd limit
25
Utonal odd limit
75
Consistent edos (d≥1.5)
12edo, 15edo, 19edo**, 31edo, …
English Wikipedia has an article on:
The hendrix chord, a 7#9no5 chord, has several possible JI interpretations.
| Chord information |
In the 19-limit it may be tuned as 4:8:10:14:16:19, an extended harmonic seventh chord.
| Chord information |
In the 7-limit it may be tuned as 6:12:15:21:24:28, also an extended harmonic seventh chord.
| Chord information |
In the 5-limit it may be tuned as 10:20:25:36:40:48, 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. |