magic cube discovery

play with it in 3 dimensions:

http://mathworld.wolfram.com/news/2003-11-18/magiccube/

--- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...> wrote:
> play with it in 3 dimensions:
>
> http://mathworld.wolfram.com/news/2003-11-18/magiccube/

That really is a beautiful little applet. I can't imagine one can look at that and not want to show lattices in a similar manner.

Cheers,
Jon

--- In metatuning@yahoogroups.com, "Jon Szanto" <JSZANTO@A...> wrote:
> --- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...>
wrote:
> > play with it in 3 dimensions:
> >
> > http://mathworld.wolfram.com/news/2003-11-18/magiccube/
>
> That really is a beautiful little applet. I can't imagine one can
>look at that and not want to show lattices in a similar manner.
>
> Cheers,
> Jon

Especially now, we need this. Monz and company should be offering the
first step to our salvation soon . . .

--- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...> wrote:
> Especially now, we need this. Monz and company should be offering
> the first step to our salvation soon . . .

The salvation being making music.

Cheers,
Jon

--- In metatuning@yahoogroups.com, "Jon Szanto" <JSZANTO@A...> wrote:
> --- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...>
wrote:
> > Especially now, we need this. Monz and company should be offering
> > the first step to our salvation soon . . .
>
> The salvation being making music.
>
> Cheers,
> Jon

our Tonalsoft application already does the 3-dimensional
rotatable lattice diagrams, and piano-roll-type MIDI sequencing.

we're starting work on staff-notation now.

-monz

--- In metatuning@yahoogroups.com, "monz" <monz@a...> wrote:

> --- In metatuning@yahoogroups.com, "Jon Szanto" <JSZANTO@A...>
wrote:
> > --- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...>
> wrote:
> > > Especially now, we need this. Monz and company
> > > should be offering the first step to our salvation soon . . .
> >
> > The salvation being making music.
> >
> > Cheers,
> > Jon
>
>
> our Tonalsoft application already does the 3-dimensional
> rotatable lattice diagrams, and piano-roll-type MIDI sequencing.
>
> we're starting work on staff-notation now.
>
>
>
> -monz

but of course, i hasten to add, the piano-roll is not
necessarily quantized to 12-tET (unless you want it to be)
as all other sequencer programs are.

you start out by setting up a prime-space, choosing which
prime-factors you want in your tuning universe, and how
far out their exponents go. the software then creates
a lattice diagram of that. essentially, it's an
n-dimensional Euler-genus.

then you create a tuning system from the prime-space,
and the software creates a lattice of that. you may leave
everything rational (i.e., "just intonation"), or temper
it in various ways. if you choose to temper your
originally-rational-tuning-system, the software warps
the lattice so that various ends of it meet to form
circles.

then you simply use the mouse to grab notes from the
lattice (which you can hear when you click them) and
drop them into your piano-roll score.

the piano-roll is quantized horizontally for time
by measures and beats, and vertically for pitch according
to whatever type of tuning system you've set up.

the beauty of the Tonalsoft software is that the user
doesn't have to be concerned in the least about dealing
with pitch-bend commands. you simply create your tuning
system using primarily visual methods and the software
does all the rest.

-monz

Joe,

A couple of thoughts, not in any order...

1. Care to shed any light on how you are testing the software, mainly in regard to how it outputs actual sound?

--- In metatuning@yahoogroups.com, "monz" <monz@a...> wrote:
> you start out by setting up a prime-space, choosing which
> prime-factors you want in your tuning universe, and how
> far out their exponents go. the software then creates
> a lattice diagram of that. essentially, it's an
> n-dimensional Euler-genus.

Well, that leave *me* out of it. Unless you plan on having a Tonalsoft for Dummies. "n-dimensional Euler-genus"? Yikes. But I'm sure it will be just the ticket for some folks...

> the piano-roll is quantized horizontally for time
> by measures and beats, and vertically for pitch according
> to whatever type of tuning system you've set up.

Do you plan on making it as flexible in terms of rhythmic fabric as you are in terms of pitch, or will be be locked into measures/beats?

Sounds like you've made amazing progress. I really hope your company institutes a strong test program, getting it out to enough alpha/beta users to really bang it around. As painful as they are, bugs are best found before shrink-wrap time!

Cheers,
Jon

--- In metatuning@yahoogroups.com, "Jon Szanto" <JSZANTO@A...> wrote:

/metatuning/topicId_6733.html#6734

> --- In metatuning@yahoogroups.com, "Paul Erlich" <PERLICH@A...>
wrote:
> > play with it in 3 dimensions:
> >
> > http://mathworld.wolfram.com/news/2003-11-18/magiccube/
>
> That really is a beautiful little applet. I can't imagine one can
look at that and not want to show lattices in a similar manner.
>
> Cheers,
> Jon

***This froze my computer. Of course, my current computer doesn't
like certain kinds of java... not much of a coffee drinker, I guess...

JP