Escapade comma: Difference between revisions

ArrowHead294 (talk | contribs)
No edit summary
ArrowHead294 (talk | contribs)
No edit summary
Line 6: Line 6:
| Comma = yes
| Comma = yes
}}
}}
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, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].
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]].