Pythagorean Hexany piece

I just finished my first piece of music in a hexany,
assuming it turns out to be a valid hexany. :-) It's
available in MIDI, Real Audio, and MP3 to suit your various
platform and connection-speed needs.

http://personal.bna.bellsouth.net/bna/d/f/dfin/audio/HEX1ATUN.MID

http://personal.bna.bellsouth.net/bna/d/f/dfin/audio/Trio1hexany1-3-9-81.rm

http://personal.bna.bellsouth.net/bna/d/f/dfin/audio/Trio1Hexany1-3-9-81.mp3

Ordinarily, I wouldn't exhibit my first piece in a tuning
that is not of my own devising before I've really gotten my
sea legs in it, so to speak. But in this case there is some
question about whether it's possible for the hexany
structure to support factors this high. I suppose the
reason is that the high products (as high as 729:512 in this
case) may likely be interpreted by the ear as simpler
ratios. (Somebody stop me before I violate the
constitutional separation of Harmonic Entropy and the Tuning
List! ;-) So here it is presented for systemic, as opposed
to artistic, critique. Of course, if you happen to like it,
that's OK with me. <g> As you'll clearly hear, I assumed
octave equivalence. Greater consonance would have been
achieved without it but the palette would have been severely
limited.

The hexany is 1,3,9,81 which yields the following tones:

A*B = 3
A*C = 9
A*D = 81
B*C = 27
B*D = 243
C*D = 729

It's hard for me to tell otonal from utonal chords in this
tuning. But following what is evidently the usual method of
finding them by position on the octahedron, these are the
otonal ones:

Product Notes in my piece
3-9-81 G D E
3-27-243 G A B
9-27-729 D A F#
81-243-729 E B F#

and these are the utonal ones:

Product Notes in my piece
3-243-81 G B E
3-27-9 G A D
243-27-729 B A F#
81-9-729 E D F#

--
David J. Finnamore
Nashville, TN, USA
http://personal.bna.bellsouth.net/bna/d/f/dfin/index.html
--

Beautiful piece! I really don't see what it has to do with any of the
properties of the hexany, but it's a lovely piece in the Pythagorean
hexatonic scale.

"David J. Finnamore" wrote:
>
> I just finished my first piece of music in a hexany,
> assuming it turns out to be a valid hexany. :-) It's
> available in MIDI, Real Audio, and MP3 to suit your various
> platform and connection-speed needs.

To use this link:

http://personal.bna.bellsouth.net/bna/d/f/dfin/audio/Trio1hexany1-3-9-81.rm

To use this link and make it streaming, I had to save it in a text file
on my desktop with a *.ram extension and click on it.
Let's call it Finn.ram. Otherwise I just get text.

Purdy piece of music too!

I hope that isn't too foggy,
db

--
* D a v i d B e a r d s l e y
* 49/32 R a d i o "all microtonal, all the time"
* http://www.virtulink.com/immp/lookhere.htm

--- In tuning@egroups.com, David Beardsley <xouoxno@v...> wrote:
> http://personal.bna.bellsouth.net/bna/d/f/dfin/audio/Trio1hexany1-3-
9-81.rm
>
> To use this link and make it streaming, I had to save it in a text
file
> on my desktop with a *.ram extension and click on it.
> Let's call it Finn.ram. Otherwise I just get text.

I need an ASCII emotive to denote slapping my forehead with the palm
of my hand. The link below should allow the file to stream with no
further effort on the user's part. Thanks, David for pointing out
the oversight.

http://personal.bna.bellsouth.net/bna/d/f/dfin/Trio1hexany1-3-9-81.ram

David Finnamore