31/28

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Interval information
Ratio 31/28
Subgroup monzo 2.7.31 [-2 -1 1
Size in cents 176.20967¢
Names Tricesimoprimal whole tone,
Tetracot whole tone
Color name 31or1, thiworu unison
FJS name [math]\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]\sqrt{n\cdot d}[/math])
~4.58379 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.