Extension and restriction: Difference between revisions

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-An '''extension''' of a [[temperament]] on a [[JI subgroup]] ''G'' to a larger subgroup ''G' '' is a new temperament that contains all the intervals of the original temperament, with the same JI interpretations in the subgroup ''G'', but adds JI interpretations (and possibly new intervals if necessary) not in the original subgroup (but are in the larger subgroup).
+An '''extension''' of a [[temperament]] on a [[JI subgroup]] ''G'' to a larger subgroup ''G' '' is a new temperament that contains the same intervals as the original temperament, with the same JI interpretations in the subgroup ''G'', but adds JI interpretations not in the original subgroup (but are in the larger subgroup).
-For example:
+For example, [[septimal meantone]] and [[flattone]] are both extensions of [[5-limit]] (2.3.5) [[meantone]] to the [[7-limit]] (2.3.5.7).
-* [[Septimal meantone]], [[flattone]] and [[godzilla]] are all extensions of [[5-limit]] (2.3.5) [[meantone]] to the [[7-limit]] (2.3.5.7).
-* [[Mohajira]] is naturally viewed as an 2.3.5.11 extension of 5-limit meantone.
 [[Category:Terms]]