248/243

Interval information

Ratio	248/243
Subgroup monzo	2.3.31 [3 -5 1⟩
Size in cents	35.26057¢
Name	tricesimoprimal comma
Color name	s31o1, sathiwo unison
FJS name	[math]\displaystyle{ \text{P1}^{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	15.879
Weil height (log2 max(n, d))	15.9084
Wilson height (sopfr(nd))	52
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.51914 bits
Comma size	medium
Open this interval in xen-calc

248/243 is a 31-limit medium-sized comma. This interval is significant in the Functional Just System as the formal comma to translate a Pythagorean interval to a nearby tricesimoprimal (31-limit) interval. Consequently, 31/16 is represented as a major seventh. In the Helmholtz-Ellis notation, however, that role is taken by 32/31, so 31/16 is represented as an octave.