Comma and diesis: Difference between revisions
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== In just intonation == | == In just intonation == | ||
=== By prime limit === | === By prime limit === | ||
In just intonation, commas are often seen as the difference between two similar intervals, so it is hard to find intervals within this range that are treated as steps in their own right. The 3-limit interval in this range is the '''Pythagorean comma''' of [[531441/524288]], which can be considered an augmented seventh (octave-reduced), and is about 23{{c}}. | In just intonation, commas are often seen as the difference between two similar intervals, so it is hard to find intervals within this range that are treated as steps in their own right. The 3-limit interval in this range is the '''Pythagorean comma''' of [[531441/524288]], which can be considered an augmented seventh (octave-reduced), and is about 23{{c}}. | ||
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However, there are, rarely, temperaments generated by commas. One example is [[slender]], where ten [[49/48]]<nowiki/>s equal [[5/4]]. | However, there are, rarely, temperaments generated by commas. One example is [[slender]], where ten [[49/48]]<nowiki/>s equal [[5/4]]. | ||
== In moment-of-symmetry scales == | == In moment-of-symmetry scales == | ||