I'd stick to learning all the inversion on a group of three strings first. I'd learn the major ones first then learn how to quickly get the minor, diminished and augmented from you major shapes. Actually I'd go straight to learning the 7ths shapes as these are more usefull and will cover more ground and contain all the normal triads anyway.
Here is how I was taught these things....
Start with a group of three strings, lets say for example the D,G and B strings.
For F major, the notes you have are FAC. Play the F on the D string, A on the G string and C on the B string so you get....
-x
-1
-2
-3
-x
-x
which is a closed F major triad.
Now on each string, move up to the next note...so the F moves up to A, the A moves up to C and the C moves up to F. This is the first inversion.
-x
-6
-5
-7
-x
-x
Now repeat that and you get the third inversion. So the A moves up to C, the C moves up to F and the F moves up to A.
-x
-10
-10
-10
-x
-x
Now to get the minor inversion, just lower which ever note is the third. So for example in the third inversion, the note on the b string is the third so we get
-x
-9 --- the 3rd (A) gets lowered
-10
-10
-x
-x
You can do the same for diminished and augmented ones too. To get a diminished lower the third and the fifth. For example the 3rd inversion becomes a diminished like this..
-x
-9 --- the 3rd (A) gets lowered
-10
-9--- the 5th(C) gets lowered
-x
-x
This method also works for 7th chords (in fact for any chord really). For seventh chords you get an extra inversion and 5 different chords can be made.
For example, a Fmaj7 chord moved through its inversions...
Starting with E-A-C-F, moving to F-C-E-A, then A-E-F-C, then C-F-A-E and finally back where you started only up an octave. These shapes are handy since you can flip the high e-string note down onto the low E and you get a bass note.
Code:
-1---5---10--12---13
-1---5---6---10---13
-2---5---9---10---14
-2---3---7---10---14
-x---x---x----x----x
-x---x---x----x----x
Now each of these shapes can be changed to a dominant 7 by lowering the seventh, which is the E. So you get the following...
Code:
-1---5---10--11---13
-1---4---6---10---13
-2---5---8---10---14
-1---3---7---10---13
-x---x---x----x----x
-x---x---x----x----x
Now take the Dom7 shapes and lower the 3rds, in this case the A to get a the minor 7th shapes...
Code:
-1---4---10--11---13
-1---4---6---9---13
-1---5---8---10---13
-1---3---6---10---13
-x---x---x----x----x
-x---x---x----x----x
Now take the minor 7 shapes and lower the 5th, in this case the C to get a the min7b5 shapes...
Code:
-1---4---9--11---13
-0---4---6---9---12
-1---4---8---10---13
-1---3---6---9---13
-x---x---x----x----x
-x---x---x----x----x
Now take the min7b5 shapes and lower the 7th again and you get the diminished 7th shapes, which are all the same.
Code:
-1---4---8--10---13
-0---3---6---9---12
-1---4---8---10---13
-0---3---6---9---12
-x---x---x----x----x
-x---x---x----x----x
You can repeat this process using the low A to high B. Once you have those to sets down, you've got pretty good coverage.
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Yamaha cs1x specifications