E-shaped comma

Interval information

Ratio	31213/31212
Factorization	2-2 × 3-3 × 74 × 13 × 17-2
Monzo	[-2 -3 0 4 0 1 -2⟩
Size in cents	0.05546605¢
Name	E-shaped comma
Color name	17uu3oz42, susuthoquadzo 2nd
FJS name	[math]\displaystyle{ \text{m2}^{7,7,7,7,13}_{17,17} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	29.8597
Weil norm (log2 max(n, d))	29.8597
Wilson norm (sopfr(nd))	88
Comma size	unnoticeable
S-expression	S49/S51
Open this interval in xen-calc

The E-shaped comma is a 17-limit unnoticeable comma of measuring 0.055 cents, with frequency ratio 31213/31212. It is the amount by which a stack consisting of three 7/6s, one 26/17 and one 28/17 exceeds two octaves. By tempering it out is defined the E-shaped temperament, which enables the E-shaped chords.

Etymology

This comma was named by Xenllium in 2023. It came from its numerator of the lowest terms, 31213, which constructs an E-shape by square tiling. Its denominator, 31212 also constructs another form of E-shape.

See also

• Unnoticeable comma
• List of superparticular intervals