Euzenius comma

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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39832 bits
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.


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

See also