23. A system of symbolism of guitar chords that determines the exact fingering , shape and position in the guitar fretboard in the DAE system.

This system of symbolism, utilizes the DAE system of chords on the Guitar fretboard. This also means that any classical major or minor guitar chord on the fretboard, is one the shapes D, A, or E.  The Open chord shape C is essentially a D-shape appropriately extended , and the open chord G is essentially an A-shape appropriately extended. 

The standard symbolism of a musical major or minor chord is of course R for R-major and Rm for R-minor. Now we extend this musical symbolism with two more characters that give the information of where in the guitar fretboard is played this chord (as if shifting the 0th open fretboard) and with which of the three shapes D, A, or E. 

So the full symbol is instead of R, or Rm, it is (XY)R or (XY)Rm where X is one of the order of fret in the guitar fretboard , (0 for open), or the corresponding note on the E-string, and Y is one of the symbols D, A, E denoting the shape with which the chord is played. We may still retain the symbol C(o) and G(o) for the open chords of C and G. 

For example  , the C major chord as barre, with A-shape on the 3rd fret is (3A)C  (or (GA)C) , while the G chord as barre on the 3rd fret and of E-shape will be (3E)G.

The next is a table showing the symbols of the open chords in the three equivalent neighbourhoods of the C-major scale (see post 13).

Open chord (D- neighbourhood)	A-neighbourhood (frets 3-7)	E-neighbourhood (frets 7-12)
C(o)	(3A)C	(8E)C
G(o), (3E)G	(5D)G	(10A)G
F (=(1E)F)	(3D)F	(8A)F
E(=(0E)E)	(2D)E	(7A)E
A(=(0A)A)	(5E)A	(8D)A
D(=(0D)D)	(5A)D	(10E)D
B(=(2A)B)	(7E)B	(9D)B
Fm (=(1E)Fm)	(3D)Fm	(8A)Fm
Em(=(0E)Em)	(2D)Em	(7A)Em
Am(=(0A)Am)	(5E)Am	(8D)Am
Dm(=(0D)Dm)	(5A)Dm	(10E)Dm
Bm(=(2A)Bm)	(7E)Bm	(9D)Bm

For triad-chords in the guitar fretboard tuned in all the strings by pure 4ths (like a 6-string bass), the symbolism is even simpler as we only need to write a) the number of the fret where the root is b) the 3 shapes a,b,c depending if its normal position 1st inversion (or cyclic permutation) and 2nd inversion (or cyclic permutation), and finally c) the type of the chord, if it is major, minor with 7th , 6th etc E.g. (5c)G  etc

On the other hand, we may think of system of symbolism of triad-chords in music in general independent from the guitar fretboard. We need three elements to define any such triad-chord
1) On which octave is the root.
2) Which of the 3 cyclic permutations it is (normal position, 1st inversion, 2nd inversion)
3) What type of chord it is (major, minor, diminished augmented etc). E.g. (3c)G means it is a Gmajor triad chord with root at the 3rd octave the g3, and it is in the 2nd inversion, that is 
d3-g3-b3

Here is an application of the 3 neighbourhoods of the guitar on the chords A, E, F#m, D, 

(see also post  13  )

https://www.youtube.com/watch?v=aO1XZJvFXu8


The 5 -triads in successive resolution harmonic relation on the fretboard.

The best way to learn the fretboard is without mental images but only the feeling of the notes at each fret.But this takes too much practice and familiarization with the fretboard.
On the other hand the best way to learn all the fretboard through mental images,rather than feeling,is not by patterns of scales, neither by the names of all the notes of the frets, but rather with sufficient many chord-shapes that almost cover all the fretboard. And even better  if these chords are organized in to easy repeating patterns. Here we describe a method, based on the triads of chords in shapes of E, A, D, so that each is relative to its previous, at the harmonic relation of successive resolution in the cycle of 4ths (see also post 30).

Here we list the chords of shapes E, A, D,on the notes of the e4-string

e4, g4, a4, b4, d5, 

chords (E- shape)	chords (A- shape)	chords (D- shape)
e4  (0E)E	(0A)A	(0D)D
g4 (3E)A	(3A)C	(3D)F
a4 (5E)A	(5A)D	(5D)G
b4 (7E)B	(7A)E	(7D)A
d5 (10E)D	(10A)G	(10D)C

THE BEST WAY TO LEARN THE FRETBOARD IN ANY OPEN TUNING (E.G, OVERTONES TUNINGS OR THE CURRENT TUNING IN THIS POST) IS BY CONCEIVING THE FRETBOARD AS OF A DIATONIC INSTRUMENT, MARK THE DEFAULT PREFERED DIATONIC SCALE ON THE FRETBOARD, AND LEARN THE 3-NOTE CHORDS NORMAL FORMS (ON 3 CONSECUTIVE STRINGS) IN THIS SCALE AND TUNING.

THEN FIGURE OUT THE BASIC 3 INVERSIONS OF A TRIAD CHORD (EQUIVALENT TO THE DEA-SYSTEM) AND CORRESPOND TO EACH INVERSION D, OR E OR A,  THE MODE OF THE DIATONIC SCALE THAT IT GIVES. 

THEN LEARN THE MINOR CHORDS HARMONIC TRIPLET OF CHORDS AND MAJOR CHORDS HARMONIC TRIPLET OF CHORDS OF THE DIATONIC SCALE WITH ANY CONVENIENT INVERSION ON THE FREBOARD.