Canonical extension: Difference between revisions
From Xenharmonic Reference
Created page with "{{Problematic}} {{Technical}} Let ''T'' be a regular temperament on JI group ''G''. A strong extension ''U'' of ''T'', on a JI group ''H'' of one rank higher than ''G'' is '''natural''' if the commas tempered out by ''T'' induces the presence of the added basis element of ''H''. A strong extension is merely '''canonical''' if it is agreed that it is an efficient (accurate and low-complexity) extension." |
m Inthar moved page Naturality and canonicality to Naturalness and canonicality without leaving a redirect |
(No difference)
| |
Revision as of 01:43, 4 February 2026
This page or section is a work in progress. It may lack sufficient justification, content, or organization, and is subject to future overhaul.
This is a technical or mathematical page. While the subject may be of some relevance to music, the page treats the subject in technical language.
Let T be a regular temperament on JI group G. A strong extension U of T, on a JI group H of one rank higher than G is natural if the commas tempered out by T induces the presence of the added basis element of H. A strong extension is merely canonical if it is agreed that it is an efficient (accurate and low-complexity) extension.
