81/20: Difference between revisions
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The ratio of '''81/20''' is the distance between the 81st and 20th harmonic, which can be seen as a [[4/1|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and | The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking 4 [[6/5]]'s and 3 [[5/4]]'s. This suggests that an [[octave stretch]] of half a syntonic comma is a good way to optimise a [[diatonic scale]] for [[Just intonation|pure]] thirds, resulting in whole tones of approximately 193 cents and [[semitone]]s of 122. | ||
[[Category:Octave]] | [[Category:Octave]] | ||
{{todo | {{todo|categorize}} | ||