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Music and MATLAB
Arianne Ferare
employ a random walk to generate a musical
melody
harmonize the melody with randomly generated
yet appropriate chords and notes
Chord Progressions-- the basics
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PROGRESSIONS IN MUSIC
CODING PROGRESSIONS IN MATLAB
Chords are comprised of any combination of
three notes (a triad)
Define the different notes that may appear in each
triad (I, ii, IV, V, vi, viio) in terms of the notes of
the scale, 1-7 or do-ti
Progressions generally begin on the tonic
chord (from the triad do, mi, sol; or 1, 3, 5)
I has 1,3,5; V has 5,7,2; etc
Progressions generally end on a predominantdominant-tonic cadence (from the ii or IV triads
to the V triad to the tonic)
Assign a vector for each voice and triad
combination that corresponds to that voice's
range (may have more or fewer octaves)
Melody should move in stepwise motion up
and down and avoid leaps for better flow
Generate soprano starting note via random
selection from tonic soprano vector; generate
soprano melody via random walk (unless its
value corresponds to leading tone, in which
case it must go up)
Harmony should consist of chords that fit with
the current melody note
Harmony usually split into four voices, each
with distinct vocal ranges: soprano, alto, tenor,
and bass
The “leading tone” (ti, or 7) must resolve to
1/do in the soprano
Given soprano note, select randomly one of the
two or three triads containing that note and
assign other voices values from their
corresponding vectors for that triad
End with ii or IV triad, followed by V then I