Re: usefulness of lattices (was: Time ignored ?)

> From: Paul Erlich <paul@stretch-music.com>
> To: <tuning@yahoogroups.com>
> Sent: Monday, July 23, 2001 7:41 PM
> Subject: [tuning] Re: Time ignored ?
>
> > [Andy Stefik]
> > So to sum up I agree. Time is an extremely important part of music.
> > Lattices, analysis, etc, should reflect it if possible.
>
> Exactly. Monz's JustMusic software is intended to show the music
> evolving on the lattice, by "lighting up" the pitches that are being
> played at any given time. This could be very "illuminating", though
> Monz and I differ in how we like to construct our lattices.

Thanks very much for the plug, Paul!

Don't forget... my intention is to have JustMusic be able to
do *any* kind of lattice the user requires. I've only implemented
my version first for obvious reasons... it's *my* software! ;-)

> for me, lattices have been extremely enlightening in many situations
> and so it's always a convenient lens for peering at any particular
> problem . . . all the pitches and their relationships with one
> another are mapped out in a _static_ way, so that the _dynamics_ of
> the music can be viewed against an unchanging background . . . why
> should that be such a problem for you?

This is a *really* good point about static/dynamic!, in light of
the discussion here regarding time as an element of music.

I sent a post this afternoon discussing the fact that harmony
itself, at least when considered as ratios, is also time-dependent.

I'd also like JustMusic to be able to analyze harmonic timbres
on lattice diagrams. And hey, why not rhythms or meters too?

A lattice can be useful for understanding *any* type of rational
or proportional relationship, and thus for examing any type of
periodicity that can be found in music. And periodicity plays
a role in a *lot* of different aspects of music! Look in my
Dictionary for some examples:
http://www.ixpres.com/interval/dict/period.htm

-monz
http://www.monz.org
"All roads lead to n^0"

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