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Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions
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==Contributions to music theory== | ==Contributions to music theory== | ||
Sgutsitn's best known written work is her treatise on equal temperaments, which mainly describes the structural properties of various equal temperaments. | Sgutsitn's best known written work is her treatise on equal temperaments, which mainly describes the structural properties of various equal temperaments. [She might not have invented all of the material but she's definitely responsible for the zeta function stuff] | ||
*Various regular temperaments and the equal temperaments supporting them. The equal temperaments supporting a regular temperament also characterize that temperament. | *Various regular temperaments and the equal temperaments supporting them. The equal temperaments supporting a regular temperament also characterize that temperament. | ||
**She describes a temperament as a span of unison vectors/commas (Note: The commas generate the kernel characterizing a regular temperament relative to the JI space. There are multiple valid generating sets that generate the same kernel, thus multiple comma-sets that characterizes a temperament.) | **She describes a temperament as a span of unison vectors/commas (Note: The commas generate the kernel characterizing a regular temperament relative to the JI space. There are multiple valid generating sets that generate the same kernel, thus multiple comma-sets that characterizes a temperament.) | ||