138,759
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Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions
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→Contributions to music theory
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*Scale-wise... images of constant-structure scales; in addition, MOSes like those found in various world musics. | *Scale-wise... images of constant-structure scales; in addition, MOSes like those found in various world musics. | ||
**The great thing about equal temperaments might really be that they provide a way of categorizing interval sizes. | **The great thing about equal temperaments might really be that they provide a way of categorizing interval sizes. | ||
*Equal temperaments with "good" (highly | *Equal temperaments with "good" (highly divisible) divisions of the fifth or the fourth | ||
*The appendix gives the mathematical details behind the theory, for example: proofs that the algorithms she uses work; links between the Riemann zeta function and "good" equal temperaments. (She didn't have the modern algebraic language to describe what in effect she was doing, making the treatment mathematically less clean than it could have been.) | *The appendix gives the mathematical details behind the theory, for example: proofs that the algorithms she uses work; links between the Riemann zeta function and "good" equal temperaments. (She didn't have the modern algebraic language to describe what in effect she was doing, making the treatment mathematically less clean than it could have been.) | ||