If you're working from a strictly musical perspective, would it be worth using [mtof] and [ftom] so you can deal with the notes as musical pitches rather than frequencies? I know I find MIDI math a whole lot less daunting. If you're then looking for pitches that "work" with the a chord, you can classify chords by context and create some kind of hierarchy of matching notes...

This involves a lot more manual work than the approach in the paper Miller shared (you should probably just be listening to Miller here:), but it allows you to really tune stuff to what you like to hear.

Every minute I've spent playing Jazz piano is screaming "NO" at me right now.

On Tue, Nov 10, 2020 at 2:40 PM Miller Puckette via Pd-list <pd-list@lists.iem.at> wrote:
That is a wonderful question.  Here's a deep and thoughtful paper about
it...

https://static.uni-graz.at/fileadmin/_Persoenliche_Webseite/parncutt_richard/Pdfs/Pa11_tonality.pdf

The rough answer:  using theory of consonance and dissonance that goes bacy
to Helmholz, Krumhansl and Kessler predicetd an answer and set out to measure
whether it worked on real human subjects.  The answer is, not exactly; there
are places where learned expectations (from Western music theory for instance)
win out over the psychoacoustical predictions.

Or in short: yes, there's a formula but your ears might not always agree with
it.

cheers
Miller

On Tue, Nov 10, 2020 at 11:36:02AM -0600, topo bot wrote:
> Hi, i need  to automatically get all the frequencies from a chord.
> For example imagine i have chords as frequencies in messages:
>
> Chord1  = [195, 174, 146, 116, 58(
> Chord2  =  [ 155, 130, 103, 87, 43(
>
> I want to do something like this: ?Chord1.giveMeAllFrequencies
> And then get a list with the frequencies
>
>
> Is it posible to automatically get all the frequencies that fit into each
> chord(all the frequencies that don't clash)?
>
> I dont know too much about musical theory and i know i can do this by ear ,
> but is there an automatically way to get this?
>
> I hope is clear.
>
>
> Cheers

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