Tour of regular temperaments: Difference between revisions
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=== Families defined by a 2.3 (wa) comma === | === Families defined by a 2.3 (wa) comma === | ||
These are families defined by a wa or 3-limit comma. If only primes 2 and 3 are part of the [[Just intonation subgroup|subgroup]], the comma creates a rank-1 temperament, an [[EDO|edo]]. But if another prime such as 5 is present, the comma creates a rank-2 temperament. Since edos are discussed elsewhere, this section assumes the presence of at least one additional prime. The rank-2 temperament created | These are families defined by a wa or 3-limit comma. If only primes 2 and 3 are part of the [[Just intonation subgroup|subgroup]], the comma creates a rank-1 temperament, an [[EDO|edo]]. But if another prime such as 5 is present, the comma creates a rank-2 temperament. Since edos are discussed elsewhere, this section assumes the presence of at least one additional prime. The rank-2 temperament created consists of multiple "copies" of an edo. The edo copies can be thought of as being offset from one another by a small comma. This small comma is represented in the [[pergen]] by ^1. | ||
; [[Limma family|Limma or Sawati family]] (P8/5, ^1) | ; [[Limma family|Limma or Sawati family]] (P8/5, ^1) | ||