495/494: Difference between revisions

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Created page with "{{Infobox Interval | Name = eulalisma | Color name = 19u3u1oy-2, <br>nuthuloyo negative 2nd, <br>Nuthuloyo comma | Comma = yes }} '''495/494''', the '''eulalisma''', is a 19..."
 
This is a notable comma
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'''495/494''', the '''eulalisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 3.5 [[cent]]s. It is the amount by which a stack consisting of [[13/11]] and [[19/18]] falls short of [[5/4]]. By tempering it out is defined the '''eulalismic temperament''', which enables the [[eulalismic chords]].
'''495/494''', the '''eulalisma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 3.5 [[cent]]s. It is the amount by which a stack consisting of [[13/11]] and [[19/18]] falls short of [[5/4]]. In terms of commas, it is the difference between [[352/351]] and [[1216/1215]], among other relations. By tempering it out is defined the '''eulalismic temperament''', which enables the [[eulalismic chords]]. This temperament has a number of notable properties:
* 13/11 and 19/15 become fifth complements;
* 15/13 and 22/19 become fourth complements.  


== Etymology ==
== Etymology ==

Revision as of 09:16, 19 October 2024

Interval information
Ratio 495/494
Factorization 2-1 × 32 × 5 × 11 × 13-1 × 19-1
Monzo [-1 2 1 0 1 -1 0 -1
Size in cents 3.50098¢
Name eulalisma
Color name 19u3u1oy-2,
nuthuloyo negative 2nd,
Nuthuloyo comma
FJS name [math]\displaystyle{ \text{d}{-2}^{5,11}_{13,19} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.8997
Weil height (log2 max(n, d)) 17.9026
Wilson height (sopfr(nd)) 56
Comma size small
Open this interval in xen-calc

495/494, the eulalisma, is a 19-limit superparticular comma of about 3.5 cents. It is the amount by which a stack consisting of 13/11 and 19/18 falls short of 5/4. In terms of commas, it is the difference between 352/351 and 1216/1215, among other relations. By tempering it out is defined the eulalismic temperament, which enables the eulalismic chords. This temperament has a number of notable properties:

  • 13/11 and 19/15 become fifth complements;
  • 15/13 and 22/19 become fourth complements.

Etymology

The name eulalisma was named by Xenllium in 2023. It refers to 495 Eulalia, the asteroid.

See also