Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions
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Sgutsitn's best known written work is her treatise, which describes: | Sgutsitn's best known written work is her treatise, which describes: | ||
*Links between the Riemann zeta function and consonance. | *Links between the Riemann zeta function and consonance. | ||
*Various regular temperaments and the equal temperaments supporting them | *Various regular temperaments and the equal temperaments supporting them. However, she didn't have the modern algebraic language to describe what in effect she was doing (making her treatment mathematically less clean than it could have been). | ||
**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.) | ||
*Scale-wise... I don't know, Images of constant-structure scales; in addition, MOSes found in various world musics. | *Scale-wise... I don't know, Images of constant-structure scales; in addition, MOSes like those found in various world musics. | ||
*Things I don't know if the treatise should mention: | |||
**The equal temperaments supporting a regular temperament also characterize that temperament | |||
**What gets you from a temperament to a "good" period/generator size | |||
==Compositions== | ==Compositions== | ||