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Second bar: Alternating G and F on top of the E-flat chord.First bar: a straightforward arpeggio starting on F, outlining a major triad.The chord starting on B-flat is B-flat, D, F. The chord starting on E-flat is E-flat, G, B-flat. The chord starting on F is F, A, C, E-flat. To make a chord, start on a note, then go around clockwise, skipping every other scale tone. To understand how you make the various chords from F Mixolydian, take a look at this diagram.
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Each one occupies more or less one bar, and each one comes with a chord: F7, E♭, B♭, and F7 again. The “Hey Jude” loop is built from four phrases. The blue arrows show the roots of the I-♭VII-IV-I chord progression. The right diagram shows it on the circle of fifths. The left diagram below shows F Mixolydian on the chromatic circle. If you play I, ♭VII, and IV, you’re going to recognize many iconic rock and pop songs. B-flat is the fourth note in F Mixolydian, so the chord built on it is called the IV chord.E-flat is the seventh note in F Mixolydian, so the chord built on it is called the ♭VII (the flat is there to distinguish E-flat from the “natural” seventh you’d get in the major scale, which here would be E natural.).F is the first note in F Mixolydian, so the chord built from it is called the I chord.The chord structure is the old classic rock standby, I-♭VII-IV-I. The progression comes from the Mixolydian mode, which is as defining for rock as diatonic major is for classical.