Navicular comma

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Interval information
Ratio 24192/24167
Factorization 27 × 33 × 7 × 11-1 × 13-3
Monzo [7 3 0 1 -1 -3
Size in cents 1.789981¢
Name navicular comma
Color name 3u31uz1, trithu-aluzo unison
FJS name [math]\displaystyle{ \text{AA1}^{7}_{11,13,13,13} }[/math]
Special properties reduced
Tenney height (log2 nd) 29.123
Weil height (log2 max(n, d)) 29.1245
Wilson height (sopfr(nd)) 80
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~1.22812 bits
Comma size unnoticeable
S-expression S12 / S13
Open this interval in xen-calc

24192/24167, the navicular comma is a no-fives 13-limit comma that is the difference between three 13/12s and one 14/11. It is tempered out in some EDOs such as 17, 26, 77, 94, 104, 130, 207 and 224.

Etymology

The name navicular comma was given by Xenllium in 2025, for its ultraparticular property and related temperaments.