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Blocks as the lifting of an et

🔗genewardsmith@juno.com

9/28/2001 1:14:09 AM

I mentioned that one can lift a musical piece to JI if one picks a
version in each of a number of suitably chosen ets equal to the
number of primes in the p-limit in question. So, for example, one can
lift to the 5-limit if one can find a version in the 12, 22, and 31
ets, and to the 7-limit if we add 55.

One way to think of the "scale along a line" of a block is that it is
the lifting of an n-et to JI or to some tempering, where we simply
pick the closest availble note in each of the other ets to the et we
are trying to lift, allowing ourselves any starting point, not
necessarily the unison, for the et we are lifting.