31/28
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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 (log_{2} nd) | 9.76155 |
Weil height (log_{2} max(n, d)) | 9.90839 |
Wilson height (sopfr (nd)) | 42 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.56944 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.