Hendrix chord: Difference between revisions

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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]].

According to this interpretation, the 12edo hendrix chord has 30.2 [[cents]] of error ~~relative~~ to JI.

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.

[[EDO]]s with less than 20 cents error on any one interval include: {{EDOs|12, 15, 18, 19, 22, 24, 26, 27, 28...}} and everything bigger than 28.

[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 5, 6, 7, 12, 19, 34, 46, 53}}.

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In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, an extended [[4:5:6:7|harmonic seventh chord]].

According to this interpretation, the 12edo hendrix chord has 78.0 [[cents]] of error ~~relative~~ to JI.

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.

[[EDO]]s with less than 35 cents error on any one interval include: {{EDOs|10, 12, 15, 16, 17...}} and everything bigger than 17.

[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 6, 9, 10, 19, 21, 22, 31, 68, 99}}.

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

According to this interpretation, the 12edo hendrix chord has 47.4 [[cents]] of error ~~relative~~ to JI.

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.

[[EDO]]s with less than 35 cents error on any one interval include: {{EDOs|12, 15, 16, 17...}} and everything bigger than 17.

[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 7, 9, 12, 15, 16, 25, 37, 53, 56, 68, 93}}.

@@ Line 13: / Line 13: @@
 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]].
-According to this interpretation, the 12edo hendrix chord has 30.2 [[cents]] of error relative to JI.
+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.
+[[EDO]]s with less than 20 cents error on any one interval include: {{EDOs|12, 15, 18, 19, 22, 24, 26, 27, 28...}} and everything bigger than 28.
+[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 5, 6, 7, 12, 19, 34, 46, 53}}.
 {{clear}}
@@ Line 20: / Line 24: @@
 In the [[7-limit]] it may be tuned as 6:12:15:21:24:28, an extended [[4:5:6:7|harmonic seventh chord]].
-According to this interpretation, the 12edo hendrix chord has 78.0 [[cents]] of error relative to JI.
+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.
+[[EDO]]s with less than 35 cents error on any one interval include: {{EDOs|10, 12, 15, 16, 17...}} and everything bigger than 17.
+[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 6, 9, 10, 19, 21, 22, 31, 68, 99}}.
 {{clear}}
@@ Line 27: / Line 35: @@
 In the [[19-limit]] it may be tuned as 4:8:10:14:16:19, an extended [[4:5:6:7|harmonic seventh chord]].
-According to this interpretation, the 12edo hendrix chord has 47.4 [[cents]] of error relative to JI.
+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.
+[[EDO]]s with less than 35 cents error on any one interval include: {{EDOs|12, 15, 16, 17...}} and everything bigger than 17.
+[[EDO]]s up to 100 with successively lower error include: {{EDOs|4, 7, 9, 12, 15, 16, 25, 37, 53, 56, 68, 93}}.
 {{clear}}