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. | ||
Revision as of 21:18, 15 October 2024
| Interval information |
reduced harmonic
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 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.
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.