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 }}. | 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, [ ]. | ||
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. | 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. | ||
== Music == | == Music == | ||