Laser comma: Difference between revisions

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The '''laser comma''', '''57375/57344''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] (and 2.3.5.7.17) comma that separates a stack of three [[16/15]] diatonic semitones from a [[17/14]] supraminor third. It also equates the [[17/16]] semitone with [[3584/3375]], which, while far more complex than the more typical approximation of [[16/15]], is also far more accurate.
The '''laser comma''', '''57375/57344''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] (and 2.3.5.7.17) comma that separates a stack of three [[16/15]] diatonic semitones from a [[17/14]] supraminor third. It also equates the [[17/16]] semitone with [[3584/3375]], which, while far more complex than the more typical approximation of [[16/15]], is also far more accurate.


As an [[Square superparticular #Sk/S(k + 1) (ultraparticulars)|ultraparticular]], it is also the difference between [[225/224]] and [[256/255]], two commonly tempered commas in the 7- and 17-limits, respectively.
As an [[ultraparticular]], it is also the difference between [[225/224]] and [[256/255]], two commonly tempered commas in the 7- and 17-limits, respectively.


Interestingly, this happens to be the difference between a [[32805/32768]] schisma and the [[1701/1700]] palingenesis.
Interestingly, this happens to be the difference between a [[32805/32768]] schisma and the [[1701/1700]] palingenesis.