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hey gene!

🔗emotionaljourney22 <paul@stretch-music.com>

5/30/2002 1:51:57 PM

i posted some questions for you on the tuning list . . . for example
i remember you independently came up with the idea dave keenan just
posted about using a square 2D lattice with a step along each axis
being the generator of one linear temperament; the linear
temperaments involved sharing a commatic unison vector (that of the
overall planar temperament in effect). i remember you posted a bunch
of such examples a while back. however, i couldn't find them -- i
searched for "miracle-meantone" and "meantone-miracle" and found
nothing. do you remember doing this? (i know i'm not dreaming) . . .

🔗genewardsmith <genewardsmith@juno.com>

5/30/2002 9:45:07 PM

--- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:

i remember you posted a bunch
> of such examples a while back. however, i couldn't find them -- i
> searched for "miracle-meantone" and "meantone-miracle" and found
> nothing. do you remember doing this? (i know i'm not dreaming) . . .

I did planar temperaments, and I did the Miracle-Magic system, which
is <5/4, 16/15> and therefore one of the two optimal choices I just listed for 225/224. I'd need to seach more to find any other cross-temperment examples, except for the alternatives for 225/224 I dicussed. Messages 29901, 29987, 30017 and 30070 are what I found.