Extension and restriction: Difference between revisions
Created page with "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, w..." |
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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 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). | ||
For example [[septimal meantone]] and [[flattone]] are both extensions of [[5-limit]] [[meantone]] to the [[7-limit]]. | |||
[[Category:Terms]] | [[Category:Terms]] | ||