EDOs to ETs: Difference between revisions

ET stands for Equal-step Tuning
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==<span style="font-size: 18px; line-height: 27px;">Approaches to Connecting EDOs to Temperaments</span>==
==<span style="font-size: 18px; line-height: 27px;">Approaches to Connecting EDOs to Temperaments</span>==


"[[Equal-step Tuning]]s" (ETs), also known as "rank-1 temperaments", are temperaments which map JI intervals of a given prime-limit or subgroup to iterations of a single generator. "Equal divisions of the octave" (EDOs) are exactly what they sound like, a division of a Just 2/1 ratio into some number of equal parts. An equal temperament is defined by a p-limit val for some odd prime p, but an EDO is defined as a 2-limit val: that is, by only the number of steps to an octave, and nothing else.
"Equal temperaments" (ETs), also known as "rank-1 temperaments", are temperaments which map JI intervals of a given prime-limit or subgroup to iterations of a single generator. "Equal divisions of the octave" (EDOs) are exactly what they sound like, a division of a Just 2/1 ratio into some number of equal parts. An equal temperament is defined by a p-limit val for some odd prime p, but an EDO is defined as a 2-limit val: that is, by only the number of steps to an octave, and nothing else.


===Support for higher-rank temperaments===
===Support for higher-rank temperaments===