Pythagorean comma: Difference between revisions

Line 7:

{{Infobox Interval

| Ratio = 531441/524288

| Name = ~~Threerish 12-tone's comma,~~ Pythagorean comma, ditonic comma

| Name = Pythagorean comma, ditonic comma

| Color name = LLw-2, Lalawa comma

| Comma = yes

}}

The '''Pythagorean''' or '''ditonic ~~comma or Threerish 12-tone's~~ comma''' is the interval with the ratio '''531441/524288''' ([[monzo]]: {{monzo| -19 12 }}). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)12/27 and it also can be written as the ratio between the apotome and the Pythagorean minor second, ([[2187/2048]])/([[256/243]]), and as the ratio between the Pythagorean augmented fourth and the Pythagorean diminished fifth, ([[729/512]])/([[1024/729]]). In addition, it also equates six [[9/8]] major seconds with an octave.

The '''Pythagorean''' or '''ditonic comma''' is the interval with the ratio '''531441/524288''' ([[monzo]]: {{monzo| -19 12 }}). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)12/27 and it also can be written as the ratio between the apotome and the Pythagorean minor second, ([[2187/2048]])/([[256/243]]), and as the ratio between the Pythagorean augmented fourth and the Pythagorean diminished fifth, ([[729/512]])/([[1024/729]]). In addition, it also equates six [[9/8]] major seconds with an octave.

== Temperaments ==

@@ Line 7: / Line 7: @@
 {{Infobox Interval
 | Ratio = 531441/524288
-| Name = Threerish 12-tone's comma, Pythagorean comma, ditonic comma
+| Name = Pythagorean comma, ditonic comma
 | Color name = LLw-2, Lalawa comma
 | Comma = yes
 }}
 {{Wikipedia| Pythagorean comma }}
-The '''Pythagorean''' or '''ditonic comma or Threerish 12-tone's comma''' is the interval with the ratio '''531441/524288''' ([[monzo]]: {{monzo| -19 12 }}). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)<sup>12</sup>/2<sup>7</sup> and it also can be written as the ratio between the apotome and the Pythagorean minor second, ([[2187/2048]])/([[256/243]]), and as the ratio between the Pythagorean augmented fourth and the Pythagorean diminished fifth, ([[729/512]])/([[1024/729]]). In addition, it also equates six [[9/8]] major seconds with an octave.
+The '''Pythagorean''' or '''ditonic comma''' is the interval with the ratio '''531441/524288''' ([[monzo]]: {{monzo| -19 12 }}). It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)<sup>12</sup>/2<sup>7</sup> and it also can be written as the ratio between the apotome and the Pythagorean minor second, ([[2187/2048]])/([[256/243]]), and as the ratio between the Pythagorean augmented fourth and the Pythagorean diminished fifth, ([[729/512]])/([[1024/729]]). In addition, it also equates six [[9/8]] major seconds with an octave.
 == Temperaments ==