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 [[ | 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. | ||
Revision as of 19:02, 31 July 2023
| Interval information |
The laser comma, 57375/57344 is an 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 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.