31/28
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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]\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{nd}[/math])
~4.21214 bits
open this interval in xen-calc
| Interval information |
Tetracot whole tone
(Shannon, [math]\sqrt{nd}[/math])
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.