Single-pitch tuning: Difference between revisions

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== In regular temperament theory ==
== In regular temperament theory ==
Single-pitch tuning corresponds to the [[regular temperament]] in any given [[subgroup]] where all [[prime]]s in that subgroup are [[tempering out|tempered out]], resulting in a rank-0 temperament with no [[generator]]. This is sometimes called the '''Om temperment'''. The mapping for this is the 0-val, {{val| 0 0 … 0 }}, or more precisely, the rank-0 matrix, [ ].
Single-pitch tuning corresponds to the [[regular temperament]] in any given [[subgroup]] where all [[prime]]s in that subgroup are [[tempering out|tempered out]], resulting in a rank-0 temperament with no [[generator]]. The mapping for this is the 0-val, {{val| 0 0 … 0 }}, or more precisely, the rank-0 matrix, [ ].
 
The name ''Om'' is a reference to {{w|Om|that syllable's use in Hindu meditation practices}}; [[Keenan Pepper]] gave it this name because there is only one temperament-distinct pitch in the whole system, in the same way that ''Om'' in the meditation sense is the only word you need to create the whole universe.


Being an example of a [[trivial temperament]], single-pitch tuning [[tempering out|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s.
Being an example of a [[trivial temperament]], single-pitch tuning [[tempering out|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s.