Subgroup temperament families, relationships, and genes: Difference between revisions
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The universe of subgroup temperaments, though quite vast, has some very interesting structure that makes it possible to better map out the relationships between subgroup temperaments and the families they fall into. We will explore some useful ways to quantify this relationship here. | The universe of subgroup temperaments, though quite vast, has some very interesting structure that makes it possible to better map out the relationships between subgroup temperaments and the families they fall into. We will explore some useful ways to quantify this relationship here. | ||
In all these examples, we can unambiguously denote a subgroup temperament in a variety of ways, one of which is to first specify the subgroup and then specify a comma basis for the kernel. For instance, meantone is 2.3.5 81/80, archy is 2.3.7 64/63, machine is 2.7.9.11 64/63 & 99/98, and so on. We will use this notation quite frequently. | In all these examples, we can unambiguously denote a subgroup temperament in a variety of ways, one of which is to first specify the subgroup and then specify a [[comma-basis]] for the kernel. For instance, meantone is 2.3.5 81/80, archy is 2.3.7 64/63, machine is 2.7.9.11 64/63 & 99/98, and so on. We will use this notation quite frequently. | ||
= Preliminaries = | = Preliminaries = | ||