31/28

Interval information

Ratio	31/28
Subgroup monzo	2.7.31 [-2 -1 1⟩
Size in cents	176.2097¢
Names	Tricesimoprimal whole tone, Tetracot whole tone
Color name	31or1, thiworu unison
FJS name	[math]\displaystyle{ \text{A1}^{31}_{7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.76155
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	42
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.21214 bits
Open this interval in xen-calc

31/28 is a mildly flat whole tone, 280/279 flat of 10/9 and 155/154 sharp of 11/10. It is an excellent generator for Tetracot temperament, as it is just 1/25th of a cent sharper than the POTE generator for 5-limit tetracot. Curiously, this is not the mapping used for the ultra high limit Stratosphere extension, suggesting there might be other unexplored high level extensions in this region.