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
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.
This interval is the 31st-partial chroma (31-limit formal comma) in Ben Johnston's notation, denoted simply with the number "31", while its reciprocal is denoted as 31 (a turned 31). If the base note is C, then 31/16 is represented by C–B31.