32/31: Difference between revisions

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"tricesimoprimal"
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| Monzo = 5 0 0 0 0 0 0 0 0 0 -1
| Monzo = 5 0 0 0 0 0 0 0 0 0 -1
| Cents = 54.96443
| Cents = 54.96443
| Name = 31th subharmonic <br> 31-limit lesser quartertone
| Name = 31th subharmonic, <br>small tricesimoprimal quartertone
| Color name =
| Color name =
| Sound = Ji-32-31-csound-foscil-220hz.mp3
| Sound = Ji-32-31-csound-foscil-220hz.mp3
}}
}}
'''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]].


== See also ==
== See also ==
 
* [[31/16]] – its [[octave complement]]
* [[31/24]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[31/30]]
* [[33/32]]


[[Category:31-limit]]
[[Category:31-limit]]

Revision as of 04:15, 22 October 2020

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 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.

See also