Sane and insane temperaments: Difference between revisions

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	~~{{Legacy\|Sane_and_insane_temperaments}}~~
	Given any subgroup temperament, we can define the restriction of that temperament to a smaller subgroup. If such a restriction does not change the generators, it is called a '''strong restriction''', otherwise it is called a '''weak restriction'''. Another way to state this criterion is that if you take the [[Temperament_Mapping_Matrices_(M-maps)\|mapping matrix]] for your larger temperament, and multiply it by the [[Subgroup_Mapping_Matrices_(V-maps)\|subgroup matrix]] for your subgroup in question, that the result is not [[contorted]].		Given any subgroup temperament, we can define the restriction of that temperament to a smaller subgroup. If such a restriction does not change the generators, it is called a '''strong restriction''', otherwise it is called a '''weak restriction'''. Another way to state this criterion is that if you take the [[Temperament_Mapping_Matrices_(M-maps)\|mapping matrix]] for your larger temperament, and multiply it by the [[Subgroup_Mapping_Matrices_(V-maps)\|subgroup matrix]] for your subgroup in question, that the result is not [[contorted]].