Escapade comma: Difference between revisions
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The '''escapade comma''' ([[monzo]]: {{monzo| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4 | The '''escapade comma''' ([[monzo]]: {{monzo| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, <math>\left(\frac{4}{3}\right)^{7}\left(\frac{4}{5}\right)^{9}</math>. This can also be written as <math>\frac{5}{3}\left(\frac{15}{16}\right)^{8}</math>, that is, the difference between a stack of eight [[16/15|classic diatonic semitones]] and a [[5/3|classic major sixth]]. | ||
It is also equal to two [[128/125|lesser dieses]] minus three [[81/80|syntonic commas]] and one [[15625/15552|kleisma]]. | It is also equal to two [[128/125|lesser dieses]] minus three [[81/80|syntonic commas]] and one [[15625/15552|kleisma]]. |