26-comma: Difference between revisions

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The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean commas]] sharp of [[9/8]].
The '''26-comma''' is a [[3-limit]] [[semifourth]] that acts as a comma in certain temperaments. It is the difference between 26 perfect fifths and 15 octaves, as well as being two [[Pythagorean commas|Pythagorean comma]] sharp of [[9/8]].


While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.
While it is exceptionally large for a comma (two of them make a near-perfect fourth, off by the small [[53-comma]]), it is tempered out in [[26edo]], because of that temperament's narrow fifths.


As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.
As an untempered interval, it approximates intervals like [[15/13]], and is the simplest Pythagorean interval of this size. As such, it could also be known as '''the''' Pythagorean semifourth.