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by Alessandro De Sanctis
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This is a game I’m used to teaching to my students to find all chords they need.

The game is based over 4 fondamental rules and allows you to obtain a chord only with a geometrical approach from a single known position.

  1. you have to know a chord position with one root: (i.e. C [X 3 2 0 1 0])
  2. you have to know intervals between adjacent strings (for transformations of fourth, distance 5)
  3. you have to remember that sixth string could be played at the same fret of first string (E low, E high)
  4. you can transpose a chord of a single half step traslating all frets of that chord of 1 (add or subtract) (transformation of half step, distance 1)

It’s ok? Let’s start!

Given a chord position you want to know all positions for all roots with the same voicing.

For example you know a C maj7/5# position and you want to know the F# maj7/5# position: you have a distance of 6 half step from C to F# (a tritone…) that could be express as 5+1, or 5*2-4 above and below (in this case are the same).

We repeat a tramsformation of Fourth for every 5 in our formula and a transfromation of half step for reaching the distance we need.

This game is based over the simple observation of tuning intervall of our guitars:

This is the normal tuning:

Intervals (half steps)

e 5 (from B to E)

B 4 (from G to B)

G 5 (from D to G)

D 5 (form A to D)

A 5 (from E to A)

E

As you can see intervals are all the same, with the exception of G-B.

Transformation of Fourth

For example I want a major chords for every root, I start with C major [X 3 2 0 1 0]:

Now we’re looking for the same chord a forth above (an F major). All we have to do is shift the position from the lower string to the above, maintaining the same fret with the exception of the third second string that increase of one step:

We start from the lower note (5th string) and move to fourth:

NB all frets remains the same except from 3rd string of C to 2nd string of F where you have to increase of one!

And we have automatically a F major

This is the rule

e /same fret

B / /increase of 1 step

G / /same fret

D / /same fret

A / /same fret

E /

Another example (From E to A major):

and so on…

Transformation of half step



Now if you remember rule 4 we can fing a A# major chord from A by adding 1 to all frets:

As you can see we start from E major and we find an A# major only with geometrical transformations!

Now we can repeat looking for a fouth below, now we move down: from C to G major

We start from higher note (1st string) and move to second

 



NB All you have to remember is that when you transport position from 2 string (of C) to the third (of G) you have to decrease of one the fret number.

E \

B \ \same fret

G \ \decrease fret

D \ \same fret

A \ \same fret

E \same fret

And so on…

You can repeat the same process for scales and arpeggios…

Enjoy yourself…

Bye, Alex

desanctis@praxis.it



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