Normal forms: Difference between revisions

Cleanup
Cmloegcmluin (talk | contribs)
m update link
Line 190: Line 190:


=== Defactored Hermite form ===
=== Defactored Hermite form ===
Given a matrix of ''p''-limit intervals, we can find its defactored Hermite form in much the same way as a mapping. The only difference is that they must be put in an "antitranspose sandwich", or in other words, antitransposed<ref>See a discussion of the antitranspose here: [[Douglas Blumeyer's RTT How-To #Null-space]].</ref> once at the beginning, and then antitransposed again at the end.
Given a matrix of ''p''-limit intervals, we can find its defactored Hermite form in much the same way as a mapping. The only difference is that they must be put in an "antitranspose sandwich", or in other words, antitransposed<ref>See a discussion of the antitranspose here: [[Dave Keenan & Douglas Blumeyer's guide to RTT: exploring temperaments#Antinullspace]].</ref> once at the beginning, and then antitransposed again at the end.


For example, suppose we have the comma basis for septimal meantone:
For example, suppose we have the comma basis for septimal meantone: