S-expression: Difference between revisions
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An '''S-expression''' is any product, or ratio of products, of the '''square superparticulars''' '''S''k''''', which are defined as the fractions of the form {{sfrac|''k''<sup>2</sup>|''k''<sup>2</sup> − 1}}. Commas defined by S-expressions turn out to represent intuitive and wide-reaching families of tempered equivalences, and therefore present a very useful framework to learn for a good understanding of the [[comma]]s that appear frequently in [[JI]] and [[regular temperament|temperaments]]. | An '''S-expression''' is any product, or ratio of products, of the '''square superparticulars''' '''S''k''''', which are defined as the fractions of the form ( ''k''/(''k'' - 1'') )/( (''k'' + 1)/''k'' ) which equals {{sfrac|''k''<sup>2</sup>|''k''<sup>2</sup> − 1}}. Commas defined by S-expressions turn out to represent intuitive and wide-reaching families of tempered equivalences, and therefore present a very useful framework to learn for a good understanding of the [[comma]]s that appear frequently in [[JI]] and [[regular temperament|temperaments]]. | ||
== Quick rules of S-expressions == | == Quick rules of S-expressions == | ||