Laser comma: Difference between revisions

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Created page with "{{Infobox Interval | Name = laser comma | Color name = L17ory^3-2, lasorutriyo negative 2nd | Comma = yes }} The '''laser comma''', '''57375/57344''' is an unnoticeable com..."
 
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Explained etymology
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 57375/57344
| Name = laser comma
| Name = laser comma
| Color name = L17ory^3-2, lasorutriyo negative 2nd
| Color name = L17ory<sup>3</sup>-2, lasorutriyo negative 2nd
| Comma = yes
| Comma = yes
}}
}}


The '''laser comma''', '''57375/57344''' is an [[unnoticeable comma|unnoticeable]] [[17-limit]] comma that separates a stack of three [[16/15]] diatonic semitones from a [[17/14]] supraminor third.
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 [[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.
== Etymology ==
This comma was named by [[User:Jerdle|Jerdle]] in 2023 after the start of its color name: '''lasor'''utriyo.
[[Category:Commas named after their color name]]

Latest revision as of 17:01, 20 February 2025

Interval information
Ratio 57375/57344
Factorization 2-13 × 33 × 53 × 7-1 × 17
Monzo [-13 3 3 -1 0 0 1
Size in cents 0.9356472¢
Name laser comma
Color name L17ory3-2, lasorutriyo negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5,5,17}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 31.6155
Weil norm (log2 max(n, d)) 31.6163
Wilson norm (sopfr(nd)) 74
Comma size unnoticeable
S-expression S15/S16
Open this interval in xen-calc

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.

Etymology

This comma was named by Jerdle in 2023 after the start of its color name: lasorutriyo.