Interval of equivalence: Difference between revisions
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* [[Stretched tuning]] | * [[Stretched tuning]] | ||
* [[Equave limit]] | * [[Equave limit]] | ||
== Mathematical interpretation == | |||
If intervals and notes an equave apart are considered to be wholly equivalent to one another, and are collapsed down to a single representative interval (as is usually the case when constructing lattices), this is mathematically identical to [[tempering out]] the equave, as it is an interval separating notes that are treated as the same thing. This gives us a tool to formalize the notion of equivalence in the language of regular temperament theory - for example, octave-equivalent meantone is a rank-1 temperament that tempers out 81/80, but also "tempers out" 2/1. | |||
== Notes == | == Notes == | ||