Re: Gene's transformation



On Tue, 23 Jul 2002 14:02:33 -0700 Carl Lumma <carl@xxxxxxxxx> writes:
> 
> I saw a bit on Robert Walker's tune's page...
> 
> http://robertinventor.com/tunes/index.htm
> 
> ...on a technique developed by Gene 'for transforming the tuning of a
> tune while keeping the melodic line intact'.
> 
> Robert (hello, Robert!) says everything he knows of the technique is
> embodied in some posts of Gene's.  I found the posts copied below,
> but I cannot decipher the technique.  Is there a post I'm missing,
> Gene?  Or a chance I could get a primer on how it works?  The way I
> read the first post, it seems like a trivial mapping of intervals
> from one temperament to another?  No?

The stuff Robert used was such a mapping, defined by a mapping from
generators to generators of p-limit JI. I have an old paper I recently
uncovered which my brother is supposed to scan for me, and which has both
a certain historical interest but also a practical one, in that it
explains this and goes on to transformations which are not note-to-note.
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