Euzenius comma: Difference between revisions

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The euzenius comma is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of {{monzo| 3 -13 10 -2 }}, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as [[ennealimmal]] and [[Very high accuracy temperaments|fortune]].
{{Infobox Interval
| Ratio = 78125000/78121827
| Name = euzenius comma
| Comma = yes
}}
The '''euzenius comma''' is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of {{monzo| 3 -13 10 -2 }}, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as [[ennealimmal]] and [[Very high accuracy temperaments|fortune]].


== Temperament ==
== Temperament ==
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== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
[[Category:7-limit]]
[[Category:Unnoticeable commas]]

Revision as of 15:54, 27 October 2022

Interval information
Ratio 78125000/78121827
Factorization 23 × 3-13 × 510 × 7-2
Monzo [3 -13 10 -2
Size in cents 0.07031446¢
Name euzenius comma
FJS name [math]\displaystyle{ \text{dddd}{-3}^{5,5,5,5,5,5,5,5,5,5}_{7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 52.4385
Weil height (log2 max(n, d)) 52.4386
Wilson height (sopfr(nd)) 109
Comma size unnoticeable
Open this interval in xen-calc

The euzenius comma is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of [3 -13 10 -2, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as ennealimmal and fortune.

Temperament

Tempering this comma out gives euzenius temperament (→ Very high accuracy temperaments #Euzenius or Sabiruquinyo).

See also