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 norm (log2 nd)	9.76155
Weil norm (log2 max(n, d))	9.90839
Wilson norm (sopfr(nd))	42
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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. However, it represents a quarter of a perfect fifth in extensions to neptune.