Another tool teachers use to teach Major scales is a formula using whole steps and half steps. A half step is moving from one piano key to the very next key. Starting on C and moving to the black key, C# is a half step. Moving from C# to the white key, D is also a half step. If you’re not familiar with the names of the piano keys, check out PPP003.
Most half steps include a black key and a white key but there are two sets of white keys that do not have a black key between them. B-C and E-F Since there is not a key in the middle, these white keys are half steps.
Like any good mathematical equation, if you put two halves together, you create a whole. If C-C# is a half step, and C# to D is a half step, you can correctly conclude that C-D is a whole step. If the two white keys, E-F are a half step, then you will need to move from E-F# to create a whole step.
Playing a major scale follows a formula or a pattern of whole and half steps. If you follow this pattern, you will create a major scale no matter which piano key you start with. The pattern is W-W-H-W-W-W-H. A different way to think of this is moving 1 piano key up or down is a half step, moving 2 piano keys up or down is a whole step. So the pattern is 2-2-1-2-2-2-1
Everyone seems to love the C Major scale because the pattern lands on all white keys. If you know the pattern, you can start a scale on F# and find all the notes you need.
The problem with playing Major scales is there are eight notes to play with your five fingers. Because there are more notes than fingers, we have to have a finger strategy.
When I was learning to play scales my teacher gave me a paper with all the scales written on it. I thought it was great because it showed which keys were sharp or flat and it had the finger pattern written for every single scale.
The problem for me is that I thought each scale was different and unique. It wasn’t enough to have to remember which black keys to play but I also had to remember which fingers to cross over or to play my thumb after.
I’ve only recently learned that there are three basic patterns for playing all the major scales.