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"Polyversal pimples"

🔗Sarn Richard Ursell <thcdelta@ihug.co.nz>

5/29/2000 12:31:17 AM

Dearest Brethren of the tuning list,

I am a trifle embarrased to admit this, but I must state here, that I have
let the old tuning digests build up in my email programme, and I now have
about 30Megabytes of information to look through.

I printed out a hard copy of Mr.Kyle Gann's website which explained Just
intonation very well, altho I am a little disapointed at his comments as to
what a "wolf note sounds like".

No offence is intended to you at all, Mr.Gann, its just that you're
comments, in my honest opinion, as to the use of Just Intonation intervals,
and chords NOT RELATED to that particular key, such as the perfect fifth
from D to A being "now only 680 cents wide instead of the optimal 702" is a
little negative a comment, someawhat?

I am woundering now to myself, has anyone actually DELIBERATELY composed
music which is COMPLETELY AND UTTERLY out of tune, just for the heck of it?

In fact, I would go so far as to state, that just intonated music, played
DELIBERATELY in the wrong key, with the wrong notes, and at the wrong time
of the morning could actually be somewhat of an "aquired taste", like
anchovies, pickled onions, or a radioactively, eye wateringly, judgement day
renderingly apocaliptically, hot chillie which we are forced to eat in the
manner of being polite at an Indian resturant.

On a more serieous note, I was also looking at the perfect fifth, and by
comparison the "golden fifth", and I am going to start looking at some other
Just intonation intervals in and via comparison to the "n-bocinni series".

A close friend and I, Mr.Alan Wells and Mr.Warren Burt had coffee, and herb
tea, and discussed the matter of how, (in our honest opinions collectively
speaking) overused the Fibonacci series is, and Mr.Warren Burt told me how
he would like to see the n-bocinni series used to make music.

For Mr.Warren Burt's information, I have several QBASIC programmes waiting
for his interest, and these have the very real capabilitys to make music in
"four different ways", thus, his homework, as requested, is complete at long
last.....

Anyway:

Fibonacci: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144....
Tribonacci: 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274.....
Quadbocinni: 1, 1, 2, 4, 8, 15, 29, 56, 108, 208.....
Pentbocinni: 1, 1, 2, 4, 8, 16, 31, 62, 123, 244.....

and form this, perhaps, we can take, from this "pallette" of series ratios
to our best/better/heuristical judgement which approximate and match Just
intonation ratios?

No?

Pehaps the n-bocinni series, can itself be defined as the "nth term of each
subsequent series, which IS NOT in the form 2^n".

I still have a hardcopy set of Joe Monzo's notes which I will be looking
over, and I can also put a funny little idea to you which I had this morning
in the shower, actually:

HAS ANYONE EVER DONE JOE MONZO/ERV WILSON TYPE JUST INTONATION DIAGRAMS IN
WHAT THEY CALL "PHASE SPACE"?

I read about this funny sort of space, which I am now under the impression that
it entails a multitude of dimensions compacted into just three dimensions.

Of course, all the ASCII diagrams I have are in 2D paper, but I can see no
real reason as to why we cannot have something like a 64-million dimensional
lattice put into three dimensional phase space.

Does anyone have anymore information on this?

----Sarn Richard Ursell.