national reso-phonic just intonation guitar chord atlas · ji steel guitar chord atlas 1 4 3 1 1 3...
TRANSCRIPT
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1JI Steel Guitar Chord Atlas
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Tuning Schema
This document contains fi ngerings for over seven hundred distinct chord voicings on the National Reso-Phonic Just Intonation Guitar. The choice of chords to include was based wholly on by my ideas as a composer and theorist of what constitutes a useful chord in Just Intonation. Another composer might have made different choices.
In most cases, I have chosen the “fullest” voicings available for a given chord type and fret position, that is, one that makes use of the greatest number of strings, on the assumption that if this voicing is playable, then any of its smaller subsets will also be so. Trying to identify and classify all of the smaller subsets would have resulted in an astronomical number of possibilities, and in this document never being fi nished.
Thanks to John Schneider for checking and correcting the fi ngerings. The occasional comments about playability are John’s.
About the Tuning
The tuning/fretting of the National Reso-Phonic Just Intonation Guitar, devised by Lou Harrison and Bill Slye, comprises a twelve-tone-per-octave scale in 11-limit
Just Intonation. In particular, it features two harmonic series segments (1–3–5–7–9–11)—what Harry Partch termed otonality hexads—on fundamentals separated by a perfect fi fth (3:2), G and D. Two additional tones needed to complete a twelve-tone scale, E b and B b, are not part of either harmonic series, but were added by chaining fi fths below F, the seventh harmonic of G. Although the harmonics of D are themselves harmonics of G (3–9–15–21–27–33), I have named D 1/1 in the diagram below because of its predominance in the DADGAD tuning of the open strings. (Those interested in a detailed explanation of the Just Intonation terminology used here should consult my Just Intonation Primer.)
Although the guitar’s scale has twelve tones per octave, it bears little resemblance to an equally tempered chromatic scale. Step sizes between adjacent tones vary from as little as 51 cents (slightly larger than a tempered quartertone) to as much as 151 cents (more than a tone and one-half), with many other sizes in between. The scale provides a great variety of modal possibilities, both historical and novel, but if one desires consonant harmony, one is limited mainly to structures centered on G and D.
National Reso-Phonic Just Intonation Guitar Chord Atlasby David B. Doty ©2006
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JI Steel Guitar Chord Atlas2
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3JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas4
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5JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas6
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7JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas8
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9JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas10
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11JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas12
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13JI Steel Guitar Chord Atlas
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JI Steel Guitar Chord Atlas14
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15JI Steel Guitar Chord Atlas
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D subminor (cont.)
D subminor (cont.)
D subminor 7th
D subminor 7th (cont.)
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JI Steel Guitar Chord Atlas16
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D 1:3:7 (cont.)
D 1:3:7
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17JI Steel Guitar Chord Atlas
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D7 (1:3:5:7)
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JI Steel Guitar Chord Atlas18
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D9 (cont.)
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2
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19JI Steel Guitar Chord Atlas
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D sus4 (cont.)D 1:3:9:11
D 1:3:9:11 (cont.)
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JI Steel Guitar Chord Atlas20
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F# half-diminished 7th (3:5:7:9 of D)
F# dim (cont.)
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21JI Steel Guitar Chord Atlas
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F# 1/2-dim 7th (cont.)
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slow
awkward but OK
awkward but OK
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JI Steel Guitar Chord Atlas22
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23JI Steel Guitar Chord Atlas
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A Open A subminor (3:7:9 of D)
A subminor (cont.)
A subminor (cont.) A sus4 (1:3:9 of D)
A sus4 (cont.)
5 5 5 7 7 7 79
7 9 910
2 5 7 7 7 7
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takes time
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JI Steel Guitar Chord Atlas24
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6 6 6 6
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A false Major (cont.) Bb Open
Bb Open (cont.) Bb false subminor (28:33:42 of absent C 16/9)
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hard
takes time takes time
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25JI Steel Guitar Chord Atlas
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8 8 8 8 10 10 10
3 3 6 6
8 10 4 4 4 6
6 6 8
11
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Bb sus4 (1:3:9 of Eb)
Bb sus4 (cont.) Cm Open
Eb Open F Open
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very hard
really hard hard
really hard
ouch!
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JI Steel Guitar Chord Atlas26
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3 3 3 5 5 5
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5 8 8 8
F false subminor (28:33:42 of G)
F false subminor (cont.)F sus4
(1:3:9 of Bb)
F sus4 (cont.)
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hard
hard to sustain(also 8vb at 2)