i just found a piece of paper with some notes i wrote on it back when i was around 10 years old about how to finger scales regardless if you actually know the fingerings.

part of the system is always knowing where the 4th finger goes.

right hand:

1. white note scales: 4th finger on the 7th tone (except for f)
2. black note scales: 4th finger on the bb. if there is no bb, then the 4th finger goes on the 2nd tone.

left hand:

1. white note scales: 4th finger goes on the 2nd tone of the scale except in the key of b.
2. black note scales: 4th finger on the f# except if it's the key of gb, then the 4th finger goes on the 4th tone of the scale.

at the bottom of the page there is a reminder to "pass the thumb right after it is used, bringing it straight across."  that is, don't let your thumb follow along with the scale. zip it over ready and waiting for the note it's going to hit.

i used to practice scales by only playing the passing tones so i cold get the thumb cross fast.  for example, in the key of c, i'd play cdfgbc using my thumb on f and b (two octave scales.)
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