S-expression: Difference between revisions
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=== Significance/motivation === | === Significance/motivation === | ||
Square-superparticulars are the intervals between consecutive [[superparticular]] [[interval]]s, such that tempering Sk out makes the harmonic segment centered around k have equal steps; eg. tempering out S9 = 81/80 equalizes 8:9:10, as in [[meantone]]. Understanding the mappings of S''k'' in a given temperament is equivalent to understanding the spacing of consecutive superparticulars and the way it represents (or tries to represent) the harmonic series. | Square-superparticulars are the intervals between consecutive [[superparticular]] [[interval]]s, such that tempering Sk out makes the harmonic segment centered around k have equal steps; eg. tempering out {{nowrap|S9 {{=}} 81/80}} equalizes 8:9:10, as in [[meantone]]. Understanding the mappings of S''k'' in a given temperament is equivalent to understanding the spacing of consecutive superparticulars and the way it represents (or tries to represent) the harmonic series. | ||
=== Table of square-particulars === | === Table of square-particulars === | ||