Re: basic questions, harmonic entropy - A new conceptual proposal - thinking aloud (owed?) - comments please.

An initial proposal for the calculation of a moving index of harmonic entrophy.

Count the number of steps of fourths and fifths between each note being sounded at any one time, regardless of octave.

Divide the resulting sum by the number of intervals considered and used in the addition.

The resulting entropy value changes as the music progresses, and indicates the evolving level of entrophy.

This seems to correspond to what the musically-educated would expect to perceive by reading the score, and changes as each "new" note arrives/departs.

Charles Lucy -lucy@lucytune.com

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> An initial proposal for the calculation of a moving index of
> harmonic entrophy.
>
> Count the number of steps of fourths and fifths between each note
> being sounded at any one time, regardless of octave.

So the first problem is a question of precision. Moving a
cent, for example, but radically change the number of 4ths
used to reach the interval. No?

> Divide the resulting sum by the number of intervals considered and
> used in the addition.

Leaving us with 1?

> The resulting entropy value changes as the music progresses, and
> indicates the evolving level of entrophy.

Sounds like this is aimed at musical dissonance, not
psychoacoustic discordance.

> This seems to correspond to what the musically-educated would
> expect to perceive by reading the score,

Provided the score even has any 5ths or 4ths in it. Otherwise,
they might balk.

-Carl