tutorial on Greek tetrachord theory

I invited a couple of people to take an advance look at my
paper on Aristoxenus, and then realized that it would be a
good idea to briefly outline ancient Greek tetrachord-theory.
It turned out to be pretty detailed, so I put it online:

http://www.ixpres.com/interval/monzo/aristoxenus/tutorial.htm

It seems particularly appropriate right now, since we've
begun discussing it again here on the List.

Please bear with me concerning the links to Tuning Dictionary
terms that still have no definitions; I simply don't have time
to work on that now, but I thought it best to put the links in
there now.

As always, improvements and corrections are most welcome.

-monz

Joseph L. Monzo Philadelphia monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
--------------------------------------------------

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Joe!
I am going to take issue on "The Greek Aulos" its supposed discredit
involved certain historically details. The actual scale measurements has
been upheld by the Dionysian woodwind maker, Jim French (dionysian in that
he is considered one of the best meade makers in the world) he makes
replica of all types of wind instruments including for Pharaoh Sanders. He
swears by the book. Erv Wilson also has a large collection of South
American flutes with equally spaced holes which also illustrate these
subharmonic flutes as well as the tuning of the exit holes to sometimes a
3/2 below one of the scale degrees. One of these flutes ,a double one ,was
given to Partch and can be heard in Delusion of the Fury. The placing of
two subharmonic scales at x interval but placed with the thirds "parallel"
is a wide open possibility for further exploration. I for one have used two
a 3/2 a part back in my opera "War and Pieces".
Also in this book you find on Page 4, a crosset of harmonic and
subharmonic series, ala diamond like. True she probably over extends where
these scales are actually found. But the actual Microtonal material is
invaluable.

Joe Monzo wrote:

> From: Joe Monzo <monz@juno.com>
>
> I invited a couple of people to take an advance look at my
> paper on Aristoxenus, and then realized that it would be a
> good idea to briefly outline ancient Greek tetrachord-theory.
> It turned out to be pretty detailed, so I put it online:
>
> http://www.ixpres.com/interval/monzo/aristoxenus/tutorial.htm
>
> It seems particularly appropriate right now, since we've
> begun discussing it again here on the List.
>
> Please bear with me concerning the links to Tuning Dictionary
> terms that still have no definitions; I simply don't have time
> to work on that now, but I thought it best to put the links in
> there now.
>
> As always, improvements and corrections are most welcome.
>
> -monz
>

-- Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com