kiteman
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As tot said, the fretboard is divided up in semitones and the same's with the keyboard. The keyboard makes it easier to understand the music theory so grab one to work with. The white keys are all notes and none are flatted nor sharped. That's the job of the black keys. Each key (including the black ones) are a semitone apart just like the frets on the guitar.
To play a C major scale (or A minor) on a keyboard you play only the white keys skipping the black keys. Just play from C to C (or A to A for A minor) on the white keys skipping the black keys in between and you've played a C major scale (or A minor scale). Skipping a black key meant that you'd played a wholetone which is two semitones apart.
Playing from C to C on the white keys we have
C -w- D -w- E -s- F -w- G -w- A -w- B -s- C
Now let's play a G major scale on the keyboard. We're going to use the same intervals we did with the C major scale. Here we start on G.
G -w- A -w- B -s- C -w- D -w- E -w- F# -s- G
Here we skipped a white key and hit a black key instead which is F#. The G major scale have an F# in it in order to keep the same intervals as the C major scale.
Let's do it again with the D major scale.
D -w- E -w- F# -s- G -w- A -w- B -w- C# -s- D
This time we hit two black keys, F# and C# so there are 2 sharps in the D major scale.
All major scales uses theses intervals starting on any note you want including the black key, w-w-s-w-w-w-s
If you were to start on C# using these intervals you'll play all sharped notes but not all on the black keys. Some of the white keys will serve as a sharped note or a flatted note in order to fit the scale. They're known as enharmonics. An enharmonic is a note with more than one name. Look at the C# major scale, all sharped notes.
C# D# E# F# G# A# B# C#
the E# and the B# are the white keys but they're also known as the F and the C key. They all depend on the scale you're using.
To play a C major scale (or A minor) on a keyboard you play only the white keys skipping the black keys. Just play from C to C (or A to A for A minor) on the white keys skipping the black keys in between and you've played a C major scale (or A minor scale). Skipping a black key meant that you'd played a wholetone which is two semitones apart.
Playing from C to C on the white keys we have
C -w- D -w- E -s- F -w- G -w- A -w- B -s- C
Now let's play a G major scale on the keyboard. We're going to use the same intervals we did with the C major scale. Here we start on G.
G -w- A -w- B -s- C -w- D -w- E -w- F# -s- G
Here we skipped a white key and hit a black key instead which is F#. The G major scale have an F# in it in order to keep the same intervals as the C major scale.
Let's do it again with the D major scale.
D -w- E -w- F# -s- G -w- A -w- B -w- C# -s- D
This time we hit two black keys, F# and C# so there are 2 sharps in the D major scale.
All major scales uses theses intervals starting on any note you want including the black key, w-w-s-w-w-w-s
If you were to start on C# using these intervals you'll play all sharped notes but not all on the black keys. Some of the white keys will serve as a sharped note or a flatted note in order to fit the scale. They're known as enharmonics. An enharmonic is a note with more than one name. Look at the C# major scale, all sharped notes.
C# D# E# F# G# A# B# C#
the E# and the B# are the white keys but they're also known as the F and the C key. They all depend on the scale you're using.