User:Inthar/Endoparticular extensions: Difference between revisions

From Xenharmonic Reference
mNo edit summary
Line 1: Line 1:
{{Problematic}}
{{Problematic}}


Goal: Formalize temp extension naturalness or a naturalness' that is stronger than naturalness.
Goal: Formalize Leri's notion of temp extension naturalness or a some notion that is stronger than Leri!naturalness.


== Special case 1 ==
== Special case 1 ==
Suppose the base temp tempers out (Sk)^m S(k+1)^n for nonzero integers m and n. An extension by one basis element is ''natural'' if it tempers out Sk and S(k+1).
Suppose the base temp tempers out (Sk)^m S(k+1)^n for nonzero integers m and n. An extension by one basis element is ''natural'' if it tempers out Sk and S(k+1).

Revision as of 13:09, 4 February 2026

This is a problematic page or section. It lacks sufficient justification, content, or organization, and is subject to future overhaul or deletion.

Goal: Formalize Leri's notion of temp extension naturalness or a some notion that is stronger than Leri!naturalness.

Special case 1

Suppose the base temp tempers out (Sk)^m S(k+1)^n for nonzero integers m and n. An extension by one basis element is natural if it tempers out Sk and S(k+1).