back to list

5 and 7 limit dwarves for standard 22

🔗Gene Ward Smith <gwsmith@svpal.org>

9/1/2004 3:04:56 AM

Dwarf(<22 35 51|) and dwarf(<22 35 51 62|) are interesting for the
fact that marvel tempers them to the same scale. It would be nice to
see a lattice diagram of dwarf(<22 35 51|), but Scala alread tells me
the marvel tempered scale has 14 major triads, 13 minor triads, six
otonal pentads and six utonal pentads. The marvel tempering of
dwarf(<19 30 44|) (= inverted wilson1) is pretty similar; five each of
the pentads, instead of six each, and 12 and 11 triads, instead of 14
and 13. Either one would seem to be worthy of consideration by an
instrumentalist. The 19-note 5-limit dwarf is a subset of the 22-note
dwarf, so these are closely allied.