... The usual point of odd-limit is to get octave equivalence, and therefore I'd say the 2s should be dropped from the basis. ... I think the answer here is...
... "" The 9-limit would be different, for sure. The simple symmetrical lattice criterion wouldn't work, but it would be easy enough to find what does. If you...
... So what? You still get an infinite number representing each interval, since you can multiply by arbitary powers of the dummy comma 9/3^2. ... Hahn's...
... lead ... Gene, could you point me to this lattice diagram/message? now ... which ... how ... So projecting onto the plane, in such a way as to make the...
... It's the kind of lattice I was talking about--for each octave ewquivalence class, we have a lattice point. Hence there is a lattice point representing...
... interval, ... If it has length zero then we are not talking about a lattice at all, though a quotient of it (modding out the dummy comma) might be. In a ...
... <gwsmith@s...> ... analogous ... comma ... You can find the plots in the files section of this newsgroup, in the planarplots directory. ... The diagrams...
... will) ... by ... can ... the ... Thanks. So for example - 81/80, has generators 4/3 and 9/7. How does one project onto the plane to obtain 1/7 and 5/7...
... You lost me. Where did 1/7 and 5/7 come from? Do you mean project to exact coordinates on the 3/2-9/7 plane, or simply give them in terms of 3/2 and 9/7?...
... does ... to ... terms ... I was referring back to your (excellent) message 9767. 1/7 and 5/7 are "the square of the distance from the origin of the two...
... It does depend on the ordering, of course. Mostly it seems to work; you can check if it is going to by adding up the multiplicities times the generator...
... Oh! ... all ... both ... looks ... would ... Ah. Well you can see on Manuel's list: http://www.xs4all.nl/~huygensf/doc/modename.html that I already gave...
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