32/31: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 32/31
| Ratio = 32/31
| Monzo = 5 0 0 0 0 0 0 0 0 0 -1
| Monzo = 5 0 0 0 0 0 0 0 0 0 -1
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}}
}}


'''32/31''' is the '''small tricesimoprimal quartertone''' measuring about 55 cents. It differs from [[33/32]], the undecimal quartertone, by [[1024/1023]] (''c''. 1.69 cents). It differs from [[31/30]], another tricesimoprimal quartertone, by [[961/960]] (''c''. 1.80 cents); they together make [[16/15]].  
'''32/31''' is the '''small tricesimoprimal quartertone''' measuring about 55{{cent}}. It differs from [[33/32]], the undecimal quartertone, by [[1024/1023]] (approx. 1.69{{cent}}). It differs from [[31/30]], 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:Octave-reduced subharmonics]]
[[Category:Octave-reduced subharmonics]]


[[Category:Todo:expand]]
{{todo|expand|add color name}}
[[Category:Todo:add color name]]

Revision as of 12:49, 23 March 2022

Interval information
Ratio 32/31
Subgroup monzo 2.31 [5 -1
Size in cents 54.96443¢
Names 31th subharmonic,
small tricesimoprimal quartertone
FJS name [math]\displaystyle{ \text{m2}_{31} }[/math]
Special properties superparticular,
reduced,
reduced subharmonic
Tenney height (log2 nd) 9.9542
Weil height (log2 max(n, d)) 10
Wilson height (sopfr(nd)) 41

[sound info]
Open this interval in xen-calc

32/31 is the small tricesimoprimal quartertone measuring about 55 ¢. It differs from 33/32, the undecimal quartertone, by 1024/1023 (approx. 1.69 ¢). It differs from 31/30, another tricesimoprimal quartertone, by 961/960 (approx. 1.80 ¢); they together make 16/15.

See also