1) The base for the elementary position on the keys is naturally the so-called five-finger-position, there exist only seven different ones. The finger for one note is also responsable for the keys of it´s derivations like th esharps and flats. The definition of difficult chromatic passages is easy if you try to put your fingers only on the white keys without sharps or flats.
A main rule is only to write the absolutely necessary information to avoid the minimal useless occupation of your concentration.
As long as one hand plays in one position (even if sharps or flats change) you should not put another number over the notes like a “proof for stupid students” for the already posessed position. Therefore I cancel all unnecessary numbers of the editor of a piece and make them invisible with a white typewriter´s correctin liquid. (Or better use the fingering edition which has no unnecessary fingerings…)
From this develops a custom of always more security of the hand ro move only then sideways if there is a fingering number written.
I write the finger numbers consequently over the system for the right hand and under the system for the left hand like an own line for the fingering, even if it costs more space.
Now come several new symbols which after a bit of habituation will work like reflexes for certain moving patterns of the hand, and with their logic they will serve like a security system which is essential for a true musical freedom.
ad 1) Normal number: Five-finger-position. Every position has five names and it is called after the first appearing note:In the example the names are: “1 g”, “2 a”, “3 b”, “4 c”, “5 d”;but the position is called “5 d”.