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== Chords ==
== Chords ==
There are about a dozen triads and tetrads of intervallic [[odd-limit]] 9 or less that are the obvious place to start. This table lists them all, plus the vM7 chord, which is odd limit 15.
There are many chords to explore, but  the obvious place to start is with those of intervallic [[odd-limit]] 9 or less. These chords are mostly subsets of the 4:5:6:7:9 pentad or the 9/(9:7:6:5:4) pentad. These tables list them all, plus the vM7 tetrad, which is odd limit 15. In these tables, the root is always on the 4th fret. A skipped string is indicated by a period. Alternate fingerings are possible, especially for 2-finger and 3-finger chords. The alternate names for the voicings are explained in the next section. The upmajor chord is a particularly dissonant triad.
=== Triads ===
=== Triads ===
{| class="wikitable"
{| class="wikitable"
!
!
!sus4
!up or
!up or
upmajor
upmajor
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!upminor
!upminor
!downminor
!downminor
!sus4
!sus2
!sus2
!updim
!updim
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|-
|-
!
!
!^
!C4 = F2
!v
!C^
!^m
!Cv
!vm
!C^m
!4
!Cvm
!2
!C2 = G4
!^dim
!C^dim
!vdim
!Cvdim
|-
|-
|'''<u>close voicing</u> (R 3 5 8)'''
|'''<u>close voicing</u> (R 3 5 8)'''
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|-
|-
|frets
|frets
|4 6 3 5
|4 5 3 5
|4 5 3 5
|4 4 3 5
|4 4 3 5
|4 3 3 5
|4 3 3 5
|
|4 2 3 5
|
|4 1 3 5
|
|4 3 1 5
|
|4 2 1 5
|
|-
|-
|fingering
|fingering
|2 4 1 3
|2 3 1 4
|2 3 1 4
|2 3 1 4
|2 3 1 4
|2 1 1 3
|2 1 1 3
|
|3 1 2 4
|
|3 1 2 4
|
|3 2 1 4
|
|3 2 1 4
|
|-
|-
|'''<u>high-3 voicing</u> (R 5 8 10)'''
|'''<u>open or high-3 voicing</u> (R 5 8 10)'''
|
|
|
|
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|-
|-
|frets
|frets
|4 . 3 5 7
|4 . 3 5 6
|4 . 3 5 6
|4 . 3 5 5
|4 . 3 5 5
|4 . 3 5 4
|4 . 3 5 3
|4 . 3 5 3
|
|4 . 3 5 2
|
|4 . 1 5 4
|
|4 . 1 5 3
|
|
|-
|-
|fingering
|fingering
|2 . 1 3 4
|2 . 1 3 4
|2   1 3 4
|2 . 1 3 4
|2 . 1 3 4
|2 . 1 4 3
|2 . 1 4 3
|3 . 1 4 2
|3 . 2 4 1
|2 . 1 4 3
|3 . 1 4 2
|-
|'''<u>1st inversion or high-1 voicing</u> (3 5 8)'''
|
|
|
|
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|
|
|
|
|
|
|
|-
|frets
|5 2 4
|4 2 4
|3 2 4
|2 2 4
|1 2 4
|0 2 4
|2 0 4
|1 0 4
|-
|-
|'''<u>low-5 voicing</u> (5 R 3 5)'''
|fingering
|4 1 3
|2 1 3
|2 1 3
|1 1 3
|1 2 4
|1 2 4
|2 1 4
|2 1 4
|-
|'''<u>2nd inversion or low-5 voicing</u> (5 R 3 5)'''
|
|
|
|
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|-
|-
|frets
|frets
|2 4 6 3
|2 4 5 3
|2 4 5 3
|2 4 4 3
|2 4 4 3
|
|2 4 3 3
|
|2 4 2 3
|
|2 4 1 3
|
|(difficult)
|
|(difficult)
|
|-
|-
|fingering
|fingering
|1 3 4 2
|1 3 4 2
|1 3 4 2
|1 3 4 2
|
|1 3 4 2
|
|1 4 2 3
|
|1 3 1 2
|
|2 4 1 3
|
|
|
|
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=== Tetrads - Seventh chords ===
=== Tetrads - Seventh chords ===
It's generally impossible to voice 7th chords in 1st, 2nd or 3rd inversion close voicings, because the 7th occurs on the same string as the 8ve. Instead voicings are named as close (root position, R 3 5 7), high-3 (3rd raised an 8ve) and low-5 (5th lowered an 8ve). Other tetrad voicings are possible; these are just the most convenient ones. With 7 strings, a high-3-5 voicing is possible (R 5 3 7).
The up-7 chord is often improved by adding a 9th.
{| class="wikitable"
{| class="wikitable"
!
!
!upmajor-7
!downmajor-7
!up-7
!up-7 (up-9)
!down-7
!down-7
!upminor-7
!upminor-7
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!
!
!CvM7
!CvM7
!C^7
!C^7 (C^9)
!Cv7
!Cv7
!C^m7 = ^Ebv6
!C^m7 = ^Ebv6
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|frets
|frets
|4 4 3 3
|4 4 3 3
|4 5 3 2  
|4 5 3 2 (2)
|
|4 4 3 1
|
|4 3 3 2
|
|4 2 3 1
|
|4 3 1 2
|
|4 2 1 1
|-
|-
|fingering
|fingering
|3 4 2 2
|3 4 2 2
|
|3 4 2 1 (1)
|
|3 4 2 1
|
|4 2 3 1
|
|4 2 3 1
|
|4 3 1 2
|
|4 2 1 1
|-
|-
|'''<u>high-3 voicing</u> (R 5 7 10)'''
|'''<u>high-3 voicing</u> (R 5 7 10)'''
Line 184: Line 217:
|frets
|frets
|4 . 3 3 5
|4 . 3 3 5
|
|4 . 3 2 6
|
|4 . 3 1 5
|
|4 . 3 2 4
|
|4 . 3 1 3
|
|4 . 1 2 4
|
|4 . 1 1 3
|-
|-
|fingering
|fingering
|2 . 1 1 3
|2 . 1 1 3
|
|3 . 2 1 4
|
|3 . 2 1 4
|
|3 . 2 1 4
|
|4 . 2 1 3
|
|3 . 1 2 4
|
|4 . 1 1 3
|-
|-
|'''<u>low-5 voicing</u> (5 R 3 7)'''
|'''<u>low-5 voicing</u> (5 R 3 7)'''
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|frets
|frets
|2 4 4 . 3
|2 4 4 . 3
|
|2 4 5 . 2 (2)
|
|2 4 4 . 1
|
|2 4 3 . 2
|
|2 4 2 . 1
|
|(difficult)
|
|(difficult)
|-
|-
|fingering
|fingering
|1 3 4   2
|1 3 4 . 2
|
|1 3 4 . 2 (2) *
|
|2 3 4 . 1
|
|1 . 4 3 2 *
|
|2 4 2 . 1 (?)
|
|
|
|
|}
|}
<tt></tt>
* <tt></tt>These chords can also be fingered as barre chords.


=== Tetrads - Sixth chords ===
=== Tetrads - Sixth chords ===
Sixth chords are hard to voice. A close voicing in root position is generally impossible, because the 6th occurs on the same string as the 5th. One solution is to play a riff that alternates between the 5th and the 6th. Another is to omit the 5th, but then the chord can be mistaken for a triad in 1st inversion. Another voicing is the low-6 aka 3rd inversion (6 R 3 5). But this is the same as the close voicing of the corresponding 7th chord, and again the chord can be mistaken. The least ambiguous non-riffing voicing is probably low-5 (5 R 3 6), but it can be a real stretch.
The up-6 chord is particularly dissonant.
{| class="wikitable"
{| class="wikitable"
|+
|+
!
!
!up-6
!up-6 or
!down-6
upmajor-6
!down-6 or
downmajor-6
!upminor-6
!upminor-6
!downminor-6
!downminor-6
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!Cvm6 = vA^m7(b5)
!Cvm6 = vA^m7(b5)
|-
|-
|
|'''<u>close voicing for riffing</u> (R 3 5/6)'''
|
|
|
|
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|
|
|-
|-
|
|frets
|
|4 5 3/7
|
|4 4 3/6
|
|4 3 3/7
|
|4 2 3/6
|-
|-
|
|fingering
|
|2 3 1/4
|
|2 3 1/4
|
|2 1 1/4
|
|3 1 2/4
|-
|-
|
|'''<u>close no-5th voicing</u> (R 3 6)'''
|
|(C^6no5 = ^Avm)
|
|Cv6no5 = vA^m)
|
|C^m6no5 = ^Avdim
|
|Cvm6no5 = vA^dim
|-
|-
|
|frets
|
|4 5 7
|
|4 4 6
|
|4 3 7
|
|4 2 6
|-
|-
|
|fingering
|
|1 2 4
|
|1 1 3
|
|2 1 4
|
|2 1 4
|-
|-
|
|'''<u>low-6 voicing</u> (6 R 3 5)'''
|
|
|
|
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|
|
|-
|-
|
|frets
|
|6 4 5 3
|
|5 4 4 3
|
|6 4 3 3
|
|5 4 2 3
|-
|-
|
|fingering
|
|4 2 3 1
|
|4 2 3 1
|
|4 2 1 1
|
|4 3 1 2
|-
|-
|
|'''<u>low-5 voicing</u> (5 R 3 6)'''
|
|
|
|
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|
|
|-
|-
|
|frets
|
|2 4 5 7
|
|2 4 4 6
|
|2 4 3 7
|
|2 4 2 6
|-
|-
|
|fingering
|
|1 2 3 4
|
|1 2 3 4
|
|1 3 2 4
|
|1 3 1 4
|}
|}


== Songs ==
== Songs ==
These conventional songs have been translated from 12edo to 41edo. Often there is more than one obvious way to translate a song.
These conventional songs have been translated from 12edo to 41edo. Often there is more than one obvious way to translate a song.
=== Stormy Monday ===
=== Stormy Monday ===


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