lattice of 'Invisible Haircut'

A year and a half ago, about my _Theme from 'Invisible Haircut'_,
I wrote:

> http://www.egroups.com/message/tuning/1842
>
> I wish I could draw a lattice of it here to simplify the
> explanation (and because it's *beautiful*!), but 19-limit
> is too complex (and too big).

I was writing there about the difficulty of making an ASCII
lattice, suitable for email. But with Excel I've finally made
a lattice-diagram and added it to my webpage:

http://www.ixpres.com/interval/monzo/haircut/haircut.htm

In fact, this is not just one lattice, but several. I've drawn
the entire lattice in black, and outlined each of the significant
chords in red, on their own individual lattice-diagrams, presented
one after the other.

This enables one to see the chord progressions on the lattice.

-monz
http://www.ixpres.com/interval/monzo/homepage.html

--- In tuning@egroups.com, " Monz" <MONZ@J...> wrote:

http://www.egroups.com/message/tuning/14067

>
> I was writing there about the difficulty of making an ASCII
> lattice, suitable for email. But with Excel I've finally made
> a lattice-diagram and added it to my webpage:
>
> http://www.ixpres.com/interval/monzo/haircut/haircut.htm
>

This looks a little bit like one of those "Wright brothers" airplanes
you've been talking about, yes Monz??

________ ___ __ __
Joseph Pehrson

Joe Monzo wrote,

> I've drawn the entire lattice in black, and outlined each of the
significant chords in red, on their own individual lattice-diagrams,
presented one after the other.

I'd like an L (or XL if they're not too big) tee of the
126/95-otonality panel please!

your fan Dan

--- In tuning@egroups.com, "Joseph Pehrson" wrote:
>
> http://www.egroups.com/message/tuning/14076
>
> >
> > http://www.ixpres.com/interval/monzo/haircut/haircut.htm
> >
>
> This looks a little bit like one of those "Wright brothers"
> airplanes you've been talking about, yes Monz??

I find it *really* interesting that you should say that, Joe,
because back in 1998 when I made my first webpage with the
lattice diagrams, that's exactly what they reminded me of!

I used to build models of the Wright planes when I was a kid
(I mentioned here that they were heroes to me), and these
lattice designs looked just like the wooden framwork of the
planes, before they're covered with tissue paper.

Since the lines in my lattice formula get thinner and longer
as the primes get higher, the 3-, 5-, and 7-limit ones resemble
the wooden framework, and the 11-, 13-, and 19-limit ones
look like the rope rigging holding the wings together.

Talk about being able to see the 'structure' of a tuning!

-monz
http://www.ixpres.com/interval/monzo/homepage.html