31/30: Difference between revisions

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'''31/30''' is the '''large tricesimoprimal quartertone''' measuring about 57{{cent}}. It differs from [[33/32]], the undecimal quartertone, by [[496/495]] (approx. 3.49{{cent}}). It differs from [[32/31]], another tricesimoprimal quartertone, by [[961/960]] (approx. 1.80{{cent}}); they together make [[16/15]].  
'''31/30''' is the '''large tricesimoprimal quartertone''' measuring about 57{{cent}}. It differs from [[33/32]], the undecimal quartertone, by [[496/495]] (approx. 3.49{{cent}}). It differs from [[32/31]], another tricesimoprimal quartertone, by [[961/960]] (approx. 1.80{{cent}}); they together make [[16/15]].  
[[Ben Johnston's notation]] denotes this interval simply with the number "31", and its reciprocal as <span style="display: inline-block; transform: rotate(180deg)">31</span> (a turned 31).


== See also ==
== See also ==

Revision as of 03:42, 10 January 2023

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]
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).

See also