Mystery comma: Difference between revisions

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'''{{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]] (differing from it 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'''.

'''{{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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-'''{{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]] (differing from it 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'''.
+'''{{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 ==