26-comma: Difference between revisions

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{{Infobox Interval

| Name = 26-comma

| Name = 26-comma, Pythagorean inverse triple-diminished second

| Ratio = 2541865828329/2199023255552

| Color name = Wa-26, L<sup>4</sup>w-2

| Comma = ~~technically~~

| 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.

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.

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]]

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 {{Infobox Interval
-| Name = 26-comma
+| Name = 26-comma, Pythagorean inverse triple-diminished second
 | Ratio = 2541865828329/2199023255552
 | Color name = Wa-26, L<sup>4</sup>w-2
-| Comma = technically
+| 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.
-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.
+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]]