31/30
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| Ratio | 31/30 |
| Subgroup monzo | 2.3.5.31 [-1 -1 -1 1⟩ |
| Size in cents | 56.766858¢ |
| Name | large tricesimoprimal quartertone |
| Color name | 31og1, thiwogu unison |
| FJS name | [math]\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 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.41618 bits |
[sound info] | |
| open this interval in xen-calc | |
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).