Wilschisma: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 532480/531441 | Monzo = 13 -12 1 0 0 1 | Cents = 3.38137 | Name = wilschisma | Color name = | Sound = }} The '''wilschisma''' (monzo: {..."
 
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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Small comma]]
[[Category:Small commas]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:Wilschismic]]
[[Category:Wilschismic]]

Revision as of 22:00, 20 March 2022

Interval information
Ratio 532480/531441
Factorization 213 × 3-12 × 5 × 13
Monzo [13 -12 1 0 0 1
Size in cents 3.381365¢
Name wilschisma
FJS name [math]\displaystyle{ \text{d2}^{5,13} }[/math]
Special properties reduced
Tenney height (log2 nd) 38.0419
Weil height (log2 max(n, d)) 38.0447
Wilson height (sopfr(nd)) 80
Open this interval in xen-calc

The wilschisma (monzo: [13 -12 1 0 0 1, ratio: 532480/531441) is a 13-limit (also 2.3.5.13 subgroup) unnoticeable comma measuring about 3.38 cents. It is the difference between the wilsorma (65/64) and the Pythagorean comma, hence the name. The wilschisma can be viewed as a counterpart of the symbiotic comma – while the symbiotic comma connects 7 and 11, the wilschisma connects 5 and 13, and they differ by an ibnsinma. In addition, the wilschisma is the difference between the garischisma and the schismina.

Temperaments

Tempering out this comma in the full 13-limit results in the rank-5 wilschismic temperament.

See also