26-comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = 26-comma | | Name = 26-comma, Pythagorean inverse triple-diminished second | ||
| Ratio = 2541865828329/2199023255552 | | Ratio = 2541865828329/2199023255552 | ||
| Color name = Wa-26, L<sup>4</sup>w-2 | | Color name = Wa-26, L<sup>4</sup>w-2 | ||
| Comma = | | Comma = true | ||
}} | }} | ||
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 comma|Pythagorean commas]] 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. | ||
Used as an interval in its own right, it is the '''Pythagorean inverse triple-diminished second'''. 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''. | |||
[[Category:Commas named systematically]][[Category:Commas named after their interval size]] | |||
Latest revision as of 06:22, 3 November 2024
| Interval information |
Pythagorean inverse triple-diminished second
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 commas 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.
Used as an interval in its own right, it is the Pythagorean inverse triple-diminished second. 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.