Mystery comma: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 70368744177664/68630377364883

| Ratio = ~~70 368 744 177 664~~ / ~~ 68 630 377 364 883~~

| Name = mystery comma, 29-comma, Pythagorean quadruple-diminished fourth, Pythagorean tridietic semilimma

~~| Monzo = 46 -29~~

~~| Cents = 43.30497~~

| Name = 29-comma, ~~ mystery comma~~

| Color name = Wa-29, s4w4

| ~~FJS name =~~

| Comma = yes

~~| Sound~~ =

}}

{{monzo|46 -29}}, the '''~~29-~~comma''' or '''~~mystery~~ comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 246/329.

'''{{monzo|46 -29}}''', the '''mystery comma''' or '''29-comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 246/329. When treated as an interval in its own right, there are actually two very good descriptive names for this interval. Firstly, and most obviously, it can be called the '''Pythagorean quadruple-diminished fourth''', however, because it is also almost exactly half of the traditional [[Pythagorean limma]] (a stack of two mystery commas differing from the limma by [[Mercator's comma]]) in addition to being displaced from the unison's scale degree by three, one can also call this interval the '''Pythagorean tridietic semilimma'''.

== Temperaments ==

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== See also ==

* [[Medium comma]]

* [[29th-octave temperaments]]

~~[[Category:3-limit]]~~

[[Category:29edo]]

~~[[Category:Medium commas]]~~

[[Category:Mystery]]

[[Category:Commas with unknown etymology]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Ratio = 70368744177664/68630377364883
-| Ratio = 70 368 744 177 664 / <br>68 630 377 364 883
+| Name = mystery comma, 29-comma, Pythagorean quadruple-diminished fourth, Pythagorean tridietic semilimma
-| Monzo = 46 -29
-| Cents = 43.30497
-| Name = 29-comma, <br>mystery comma
 | Color name = Wa-29, s<sup>4</sup>w4
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-{{monzo|46 -29}}, the '''29-comma''' or '''mystery comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 2<sup>46</sup>/3<sup>29</sup>.
+'''{{monzo|46 -29}}''', the '''mystery comma''' or '''29-comma''' of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 2<sup>46</sup>/3<sup>29</sup>.  When treated as an interval in its own right, there are actually two very good descriptive names for this interval.  Firstly, and most obviously, it can be called the '''Pythagorean quadruple-diminished fourth''', however, because it is also almost exactly half of the traditional [[Pythagorean limma]] (a stack of two mystery commas differing from the limma by [[Mercator's comma]]) in addition to being displaced from the unison's scale degree by three, one can also call this interval the '''Pythagorean tridietic semilimma'''.
 == Temperaments ==
@@ Line 16: / Line 12: @@
 == See also ==
 * [[Medium comma]]
+* [[29th-octave temperaments]]
-[[Category:3-limit]]
 [[Category:29edo]]
-[[Category:Medium commas]]
 [[Category:Mystery]]
+[[Category:Commas with unknown etymology]]