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Is this right?
"Denoting the temperament-defined, or temperamental, seminorm by T(x), the subspace of interval space such that T(x) = 0 contains a sublattice of the lattice of monzos consisting of the commas of the temperament."
Why does it only contain a sublattice of the lattice of commas? Shouldn't it contain the entire lattice?
Did you mean "the subspace... contains, as a sublattice, the entire lattice of monzos consisting of the commas of the temperament?"
- mbattaglia1 July 27, 2012, 04:35:20 PM UTC-0700
Read the quote again. It says sublattice of the lattice of monzos.
- genewardsmith July 27, 2012, 05:27:56 PM UTC-0700
OK, I tweaked it a bit. I thought you were saying that the set of monzos consisting of the commas of the temperament forms a lattice, and that the subspace of interval space such that T(x) = 0 contains a sublattice of this lattice.
- mbattaglia1 July 27, 2012, 06:07:38 PM UTC-0700