Harmonization

All the generated sequences are the most probable explanations of unseen songs given appropriate evidence with respect to the tree models presented in the related sections of the thesis.

Generation of root progressions given melodies (Section 4.3)

Generation of chord structures given melodies and original root progressions (Section 4.5)

While being often different from the original chords, the generated chord structures are generally musically coherent considering the melody. The symbol '%' means that the preceding chord is repeated.

Songs		Chord progressions
A Weaver of Dreams	Original	FM7	%	Bb9#11	%	Em7	%	Ebm7	Ab7	Dm9	%	G13	%	CM7	%	%	%
A Weaver of Dreams	Generated	FM7	%	Bbm9	%	Em7	%	Ebdim7	Ab7	Dm7	%	G7	%	C6	%	%	%
Come Sunday	Original	F7	%	Eb9#5	%	F7	Gb7	G9	%	Cm9	%	F9	%	Bb	Eb6/Bb	Bbdim7	Bb6
Come Sunday	Generated	F7	%	Ebm7	%	F7	Gb9	Gm7	%	Cm7	%	F7	%	Bb6	Eb9#11	Bb6	%
Gone With the Wind	Original	Fm	%	Cm	%	Fm7	Bb7	Gm7b5	C7	Fm7	%	Bb13	%	EbM7	%	%	%
Gone With the Wind	Generated	Fm7	%	Cm7	%	Fm7	Bb7	Gm7	CmM7	Fm7	%	Bb7	%	Eb6	%	%	%
Lady Bird	Original	AbM7	%	%	%	Am7	%	D7	%	Dm7	%	G7	%	CM7	%	%	%
Lady Bird	Generated	Ab7	%	%	%	Am7	%	Dm7	%	%	%	G7	%	C6	%	%	%
Line for Lyons	Original	G6	G7b9	Cm7	F7	Bm7	E7	Am7	D7	GM7	E7	Am7	D7	G6	%	%	%
Line for Lyons	Generated	G6	%	CM7	F13	Bm7	E7	Am7	D7	G6	E7	Am7	D7	G6	%	%	%

The fact that the generated chord sequences always end with a 6 chord (which makes sense theoretically) reflects the fact that most of the chord sequences end with this chord structure in the training corpus.

Generation of root progressions and chord structures given melodies (Section 4.5)

The trained musician should observe that the generated chord sequences are very interesting!

Songs		Chord progressions
A Weaver of Dreams	Original	FM7	%	Bb9#11	%	Em7	%	Ebm7	Ab7	Dm9	%	G13	%	CM7	%	%	%
A Weaver of Dreams	Generated	C6	Am7	Dm7	G7	Em7	%	Ebdim7	Am7	Dm7	%	G7	%	C6	%	%	%
Come Sunday	Original	F7	%	Eb9#5	%	F7	Gb7	G9	%	Cm9	%	F9	%	Bb	Eb6/Bb	Bbdim7	Bb6
Come Sunday	Generated	A7	EbM7	Edim7	Eb9	BbM7	%	Edim7	%	Cm7	%	F7	%	Bb6	%	%	%
Gone With the Wind	Original	Fm	%	Cm	%	Fm7	Bb7	Gm7b5	C7	Fm7	%	Bb13	%	EbM7	%	%	%
Gone With the Wind	Generated	AbM7	%	Eb6	EbM7	Bb7	%	Fm7	Bb7	Eb6	Cm7	Bb13	Bb7	Eb6	%	%	%
Lady Bird	Original	AbM7	%	%	%	Am7	%	D7	%	Dm7	%	G7	%	CM7	%	%	%
Lady Bird	Generated	Dm7	%	Db9	%	C6	%	Gbdim7	FM7	CM7	%	Bm7b5	Em7	%	%	Am7	Ebdim7
Line for Lyons	Original	G6	G7b9	Cm7	F7	Bm7	E7	Am7	D7	GM7	E7	Am7	D7	G6	%	%	%
Line for Lyons	Generated	G6	E7	Am7	D7	G6	%	F9	%	Gbm7b5	E7	Am7	D7	G6	%	%	%

We observe much more variability in the first 4 bars (first 8 observations) than in the last 4 bars. The last 4 bars are always a cadenza, except for the generated chord sequence for Lady Bird, because this song has an uncommon melodic pattern in the end. However, the chosen chords in this case are still coherent with the melody.