Placement of 4-th finger, left hand/right hand.

scale: major, natural, harmonic, melodic

CDEGA: II/VII 
F:  G/B- (II/IV)
B:  F+/A+, F+/A, F+/A+, F+/(A+,A) (V/VII)
D-: G-/B-, B-/E-, G-/E-, G-/(B-,E-)
E-: A-/B-, G-/B-, G-/B-, G-/B-
G-: G-/B-, G-/A-, G-/A-, G-/(E-,A-)
A-: D-/B-, G-/B-, D-/B-, (D-,G-)/B-
B-: E-/B-, G-/B-, G-/B-, (G,G-)/B-

Notes:

This chart was given to me by Prof. Escadon, when I studied with her at the University of Miami, around 1999.

I distilled them to a statement about where the 4-th finger is placed. The other fingers fall into place naturally, the thumb generally going under the third finger.

For instance, in C (major and all three minors: natural, harmonic, melodic) the left hand has the 4-th finger on the II note of the scale, hence the 3-ird finger goes over the thumb to strike the A (or A flat in the case of natural and harmonic minor, and melodic minor when descending). The right hand has the 4-th on the VII of the scale, so the thumb must go under the 3-ird finger to strike the F.

• For C D E G A in all modes the left hand fourth finger is on the second note of the scale, and the right hand fourth finger is on the seventh note of the scale.
• For F all modes the left hand fourth finger is on the second, the right hand fourth finger is on the fourth (the B-).
• The remaining scales are shown according to the note. Generally the right hand fourth finger is on the B- and the left hand fourth finger is on the first flat encountered ascending.

This chart was given to me by Prof. Escadon, when I studied with her at the University of Miami, around 1999.