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Old reliable

🔗Gene Ward Smith <gwsmith@svpal.org>

2/12/2004 9:04:20 PM

If you project the (n+1)-dimensional system down to n dimensions so
that there is a 1-1 relationship between lattice points and notes,
you get what I called the old reliable and obvious system, which
still seems like the best one. In the 11-limit case, for instance,
you can use the note-class norm

|| (a3 a5 a7 a11) || = sqrt(a3^2+4a5^2+4a7^2+4a11^2+2a3a5+2a3a7+2a3a11
+4a5a7+4a5a11+4a7a11)

I've never invesitaged this for theta series, scales, etc; maybe I'll
get around to it.