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Wedgie badness -- for real this time!

🔗Graham Breed <gbreed@gmail.com>

3/17/2008 11:21:46 PM

Looks like the correct formula for scalar badness from wedge products is

B = |T^V|/sqrt[n**(r+1)]

Where T is the wedge product of the weighted vals, V is the vector of weighted prime intervals, |...| is the measure for Euclidean space as defined by Browne, sqrt is the square root, n is the number of prime intervals, r is the rank of the temperament class, and ** is exponentiation.

From primerr.pdf, the scalar complexity is

k = |T|/sqrt(n**r)

so the TOP-RMS error is

E = |T^V|/[sqrt(n)*|T|]

Graham