complexity formulae/'harmonic fit'

[me, monz, TD 175.17]
> [Georg Hajdu, Tuning Digest from April 1994]
>> My guess is that harmonic hearing depends so much on whether
>> a strong virtual fundamental can be produced by our nervous
>> system or not.
> <snip>
> ...I'd replace the dichotomy of 'whether a strong virtual
> fundamental can be produced by our nervous system or not'
> with the idea of measuring the *degree* to which that virtual
> fundamental is perceivable.
>
> It seems to me that this is the most workable method for
> determining the sonance, or what should perhaps be called
> the 'harmonic fit', of chords (i.e., tri- and higher-ads).

Might this formula be some monstrous beast composed of RMS
influenced by max/abs influenced by n+d influenced by
Harmonic Entropy influenced by Sethares dissonance,
etc. etc. etc. ??

Scientists and mathematicians to the rescue, please!!!

-monz

Joseph L. Monzo monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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Georg Hajdu:
>>> My guess is that harmonic hearing depends so much on whether
>>> a strong virtual fundamental can be produced by our nervous
>>> system or not.

...

Monz:
>Might this formula be some monstrous beast composed of RMS
>influenced by max/abs influenced by n+d influenced by
>Harmonic Entropy influenced by Sethares dissonance,
>etc. etc. etc. ??

>Scientists and mathematicians to the rescue, please!!!

This is what I am on about. I believe that anything that I would call
music does have a very clear "virtual fundamental" present. This is not
only related to a single chord but may related to a bar or a passage or
for simple music to the whole piece. It is measurable and quantifiable
and that is one of the fundamental (oops pun) aspects of my AJI idea.

See http://www.kcbbs.gen.nz/users/rtomes/aji-main.htm again and in
particular the two worked examples at the end. These examples work on a
simple rule but also show how slightly more complex rules would pick up
a couple of ambiguous cases. I can post the tables to the list if
desired, but they are quite large and might not format well.

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