idea for a personal tuning experiment

i thought of a great idea for a tuning experiment.

some of you (i can remember Carl) like my _24-eq tune_
http://www.ixpres.com/interval/monzo/24-eq/24-eq.htm

i wrote this piece because many tuning theorists give
24-edo a bad rap -- it's inconsistent, etc. -- and i've
always liked it, so i wanted to write a piece using it
that i thought sounded cool.

i didn't approach the task analytically this time.
from the webpage:

>> Unusually for me, with this piece I have no idea
>> what the rational implications of the harmony are
>> - I composed it strictly 'by ear', concentrating more
>> on the counterpoint than on the harmony. I tried to
>> make logical-sounding chord progressions, but I've
>> never analyzed what they are. Someday I would like
>> to figure them out

so here's my idea:

can we find several different JI interpretations of
this short piece, and then i'll make MIDIs of all the
different versions and compare them with the original
24-edo version, and see which rational implications
i think are the ones i most likely intended.

obviously, this won't have much generality, and i don't
claim for it to have validity for anyone else. but it
would be interesting for me to clarify what i was doing
when i wrote this piece.

the one clue i can give about the harmonic implications
in this tune: the last measure of the 5-measure phrase
uses only even-numbered degrees of the scale in all
instruments, so it's 12-edo, which i suppose implies
basically a pythagorean tuning for that measure.

what about the first four measures?

i'll supply any data that's needed, but it should all
be easily decipherable from the MIDI-file on the webpage
http://www.ixpres.com/interval/monzo/24-eq/24eqtune.mid

happy hunting

-monz

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--- In tuning-math@y..., "monz" <joemonz@y...> wrote:

> the one clue i can give about the harmonic implications
> in this tune: the last measure of the 5-measure phrase
> uses only even-numbered degrees of the scale in all
> instruments, so it's 12-edo, which i suppose implies
> basically a pythagorean tuning for that measure.

you don't think 12-equal can imply 5-limit? i sure do.

> From: paulerlich <paul@stretch-music.com>
> To: <tuning-math@yahoogroups.com>
> Sent: Monday, February 04, 2002 12:38 PM
> Subject: [tuning-math] Re: idea for a personal tuning experiment
>
>
> --- In tuning-math@y..., "monz" <joemonz@y...> wrote:
>
> > the one clue i can give about the harmonic implications
> > in this tune: the last measure of the 5-measure phrase
> > uses only even-numbered degrees of the scale in all
> > instruments, so it's 12-edo, which i suppose implies
> > basically a pythagorean tuning for that measure.
>
> you don't think 12-equal can imply 5-limit? i sure do.

yup, i sure do too. in keeping with the overall description
of the experiment, i should definitely have mentioned the
"double entendre" 3-/5-limit implications of 12-edo.

guess that was the theorist getting the best of the musician
in me ...

-monz

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