Talk:Tenney–Euclidean metrics

From Xenharmonic Wiki
Revision as of 00:00, 17 July 2018 by Wikispaces>FREEZE
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

ARCHIVED WIKISPACES DISCUSSION BELOW

All discussion below is archived from the Wikispaces export in its original unaltered form.

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

Retrieved from "https://en.xen.wiki/index.php?title=Talk:Tenney–Euclidean_metrics&oldid=29714"