2009/02/22
continuous chord progression
Following up on a side note from this post, it is possible to construct continuous changes from one chord to the other by linear interpolation of their frequency envelopes (i.e., chord interpolation).
Here is an example in Mathematica.
A[f_] := Sin[2*Pi*t*f*220];
For example, one of the major triads is 4:5:6, and the harmonic minor triad is 6:7:9.
First, the two chords:
Play[{A[1260/1260] + A[1575/1260] + A[1890/1260]}, {t, 0, 1}]
Play[{A[1260/1260] + A[1470/1260] + A[1890/1260]}, {t, 0, 1}]
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