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new cylindrical meantone lattice

🔗monz <joemonz@yahoo.com>

1/29/2002 1:15:27 PM

I've added an important new lattice to my "meantone"
Dictionary entry, at the bottom:

http://www.ixpres.com/interval/dict/meantone.htm

This attempts to show visually how a meantone "wraps"
the lattice into a cylinder, thus closing one of the
theoretically infinite dimensions of the JI lattice.

Does anyone know the math that will apply sines and
cosines, to warp the lattice-lines and points so that
they actually *look* like they're sitting on the
curved face of a cylinder?

-monz

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🔗paulerlich <paul@stretch-music.com>

1/29/2002 1:40:52 PM

--- In tuning@y..., "monz" <joemonz@y...> wrote:
>
> I've added an important new lattice to my "meantone"
> Dictionary entry, at the bottom:
>
> http://www.ixpres.com/interval/dict/meantone.htm
>
>
> This attempts to show visually how a meantone "wraps"
> the lattice into a cylinder, thus closing one of the
> theoretically infinite dimensions of the JI lattice.
>
>
> Does anyone know the math that will apply sines and
> cosines, to warp the lattice-lines and points so that
> they actually *look* like they're sitting on the
> curved face of a cylinder?

Replied on tuning-math@yahoogroups.com . . .