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No-fives 11-limit dwarves

🔗Gene Ward Smith <gwsmith@svpal.org>

3/5/2005 2:08:00 PM

One thing someone wanting to play with no-fives might look at are the
dwarves for the no-five vals, meaning the ones which map five to zero.
If you look at these, 243/242 plays something of the same role as
225/224 does in the 7-limit case; you can temper it out and get
results somewhat analogous to marvelous dwarves.

Here for instance is the [17, 27, 0, 48, 59] dwarf, in a transposed mode:

1, 49/48, 12/11, 49/44, 7/6, 27/22, 14/11, 4/3, 11/8, 16/11, 49/33,
49/32, 18/11, 56/33, 7/4, 11/6, 64/33

243/242 gives us two extra 9/8 and a 3/2. If we add 1029/1024 to the
mix, we also get an extra 7/4. Assuming both at the same time gives
no-fives miracle, and in terms of miracle the above scale is

-25, -23, -21, -19, -17, -15, -10, -9, -8, -6, -4, -3, -2, 0, 3, 9, 15