[PD] pd-based procedural chord progression database..

[Chuckk Hubbard]

On 8/17/06, padawan12 <padawan12 at obiwannabe.co.uk> wrote:
> On Wed, 16 Aug 2006 23:19:54 -0400 (EDT)
> Mathieu Bouchard <matju at artengine.ca> wrote:
>
> > On Wed, 16 Aug 2006, Chuckk Hubbard wrote:
> > > A bit of trivia that some of you might or might not know: Anceint Greek
> > > theorists called our Ionian mode "Lydian". Their diatonic scales counted
> > > *downward* by the same intervals ours uses upward;
>
> Or clockwise vs anticlockwise around the octave circle?

Yeah looks like it.  The only measurement they had available was
string length, so the lowest ratio was the highest pitch.
John Chalmers came up with a cool way to illustrate specific tunings
of tetrachords, I wish I could reproduce it here.  It's a triangle,
and the distance from each corner represents the size of one of the
intervals.  Since the three always add up to a perfect fourth, it
makes sense that changing one changes the other two.  He had areas
mapped out according to what genus of tetrachord it makes.  Scala has
a function to hear tetrachords by dragging on this map.  It's pretty
cool to see and hear.

>
> What I found interesting below is that scale equivilences
> turn out to be equal areas of the polygon so decribed.
> Am I understanding that right? Does it make sense?
>
> http://www.cs.queensu.ca/home/daver/Pubs/MyPDF/GeomHarm.pdf

Seems right to me, though I don't follow everything he's saying.  If
this were done with just intervals there could be some that didn't
match.

>
> >  which, like most mistakes, was
> > perpetrated during the Middle Ages.
> >
> > (Most other mistakes were perpetrated during the Bush era)
> >
>  The latter being an attempt to recreate the former.

Except I think during the Middle Ages some rulers believed in science.
On the bright side, at least today if they hang you in a cage it's not
out where everyone can see and make fun of you.

-Chuckk