Escapade comma: Difference between revisions

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{5}{4}\right)^{9}</math>. This can also be written as <math>\frac{5}{3}/\left(\frac{16}{15}\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]], that is, <math>\left(\frac{128}{125}\right)^{2}/\left(\left(\frac{15625}{15552}\right)\left(\frac{81}{80}\right)^{3}\right)</math>.