7:4 as a structural interval

I can't speak to 88cet, but in JI 7:4 can definitely be an important
structural interval, as well as an unequivocal consonance. I've done a fair
amount of work with scales from the 3 x 7 matrix, which I find has a mood
distinct from that of the more commonly used 3 x 5 x 7 (more mood wars!). La
Monte Young's _Well Tuned Piano_ is based entirely on such a tuning. The
complement of 7:4, 8:7, functions as a scale step in a great many scales,
including Slendr-oid pentatonics, Archytas' diatonic, one of the Alfarabi
diatonics, which has the novel tetrachord of 8:7 x 8:7 x 49:48, etc., etc.

Re Mr. Tsuji's question "Can we meet the fifth somewhere?" If I understand
this to mean "will some number of 7:4's = some number of 3:2's," the answer
is "not in JI." Gary or someone else will have to answer for 88cet.

--DBD
==========================================================================
David B. Doty jinetwk@dnai.com
Just Intonation Network http://www.dnai.com/~jinetwk
Phone:(415) 824-5325 535 Stevenson Street
FAX: (415) 864-8726 San Francisco, CA 94103


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