31/30

Interval information

Ratio	31/30
Subgroup monzo	2.3.5.31 [-1 -1 -1 1⟩
Size in cents	56.76686¢
Name	large tricesimoprimal quartertone
Color name	31og1, thiwogu unison
FJS name	[math]\displaystyle{ \text{P1}^{31}_{5} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	9.86109
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	41
[sound info]
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31/30 is the large tricesimoprimal quartertone measuring about 57 ¢. It differs from 33/32, the undecimal quartertone, by 496/495 (approx. 3.49 ¢). It differs from 32/31, another tricesimoprimal quartertone, by 961/960 (approx. 1.80 ¢); they together make 16/15.

Ben Johnston's notation denotes this interval simply with the number "31", and its reciprocal as 31 (a turned 31).

See also

• Gallery of just intervals