The Circle of Fourths
The circle of fourths (or circle of fifths) provides the possibility to play all the notes of the western music. Every note resolves to another note a fourth above it.
In other words, by following the circle of fourths, you play all the notes separated from each other by five semitones (a fourth).
Playing scales following the circle of fourths should be a part of your daily training.
That's a great way to know your guitar fretboard.
Keep in mind that each note of the circle of fourths can be the root of a scale.
Referring to the picture on the left, you must play any scale following this order:
C - F - Bb - Eb - Ab - Db - F# - B - E - A - D - G
You can even apply the four directions to any scale you want to learn (Dorian, Mixolydian, diminished, etc.) following the circle of fourths.
For example, with the major scale: C (up), F (down), Bb (up), Eb (down), etc.
Intervals
In music theory an interval is the distance between two notes.
Without going into details, the main intervals are named: seconds (2 notes), thirds (3 notes), fourths (4 notes), fifths (5 notes), sixths (6 notes), sevenths (7 notes) and octaves (8 notes).
They can be qualified using the terms "perfect" (P), "minor" (m), "major" (M), "augmented" (A) and "diminished" (d).
All this to say that you can practice scales by playing intervals. Something much more musical will come of it.
Let's take an example with the C major scale once again.
This scale scale contains the following notes : C - D - E - F - G - A - B.
magine that you want to play it in intervals of thirds, this would give C - E ; D - F ; E - G; F - A ; G - B ; A - C and so on.
Just the once is not hurt, you must apply the four directions technique to the intervals of the scale you want to master.
The four examples below show you how to play the major scale in thirds following the four directions.