256/243: Difference between revisions
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{{Wikipedia| Semitone #Pythagorean tuning }} | {{Wikipedia| Semitone #Pythagorean tuning }} | ||
The interval '''256/243''', the '''Pythagorean limma''' or '''Pythagorean diatonic semitone''' or the '''3-limit minor 2nd''' factors as 2<sup>8</sup>/3<sup>5</sup>, is about 90.2 [[cent]]s in size, and is the [[diatonic semitone]] in [[Pythagorean tuning]]. It can be generated by stacking five [[4/3]] just perfect fourths and [[Octave reduction|octave-reducing]] the resulting interval. | The interval '''256/243''', the '''Pythagorean limma''' or '''Pythagorean diatonic semitone''' or the '''3-limit minor 2nd''' factors as 2<sup>8</sup>/3<sup>5</sup>, is about 90.2 [[cent]]s in size, and is the [[diatonic semitone]] in [[Pythagorean tuning]]. It can be generated by stacking five [[4/3]] just perfect fourths and [[Octave reduction|octave-reducing]] the resulting interval, or equivalently by decreasing 4/3 by two [[9/8]] major seconds. | ||
== Approximation == | == Approximation == | ||