31/30: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 31/30
| Ratio = 31/30
| Monzo = -1 -1 -1 0 0 0 0 0 0 0 1
| Monzo = -1 -1 -1 0 0 0 0 0 0 0 1
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}}
}}


'''31/30''' is the '''large tricesimoprimal quartertone''' measuring about 57 cents. It differs from [[33/32]], the undecimal quartertone, by [[496/495]] (''c''. 3.49 cents). It differs from [[32/31]], another tricesimoprimal quartertone, by [[961/960]] (''c''. 1.80 cents); 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]].  


== See also ==
== See also ==
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[[Category:31-limit]]
[[Category:31-limit]]
[[Category:Interval ratio]]
[[Category:Quartertone]]
[[Category:Quartertone]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Todo:expand]]
 
[[Category:Todo:add color name]]
{{todo|expand|add color name}}

Revision as of 12:40, 23 March 2022

Interval information
Ratio 31/30
Subgroup monzo 2.3.5.31 [-1 -1 -1 1
Size in cents 56.76686¢
Name large tricesimoprimal quartertone
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.

See also