53edo: Difference between revisions

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53edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian music]]. Due to its fifths being almost indistinguishable from just, it can also be used as an extended [[3-limit|Pythagorean tuning]].
53edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian music]]. Due to its fifths being almost indistinguishable from just, it can also be used as an extended [[3-limit|Pythagorean tuning]].


53edo's step is sometimes called the "Holdrian comma", despite the 53rd root of 2 being an irrational number; the reason it is referred to as a comma is because it approximates the Pythagorean comma and syntonic comma (and is almost exactly equal to the geometric mean of the two).
53edo's step is sometimes called the "Holdrian comma", despite the 53rd root of 2 being an irrational number; the step's role as a "comma" comes from it being an approximation of the Pythagorean comma and syntonic comma (and is almost exactly equal to the geometric mean of the two).


=== Prime harmonics ===
=== Prime harmonics ===