31/29: Difference between revisions

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'''31/29''', or the '''tricesimoprimal semitone''', is the [[mediant]] between [[15/14]] and [[16/15]]. It can be used as a generator for [[miracle]] temperament, although it is on the flat end of the miracle spectrum. 5 steps of [[52edo]] is audibly indistinguishable from it.  
31/29, or the tricesimoprimal semitone, is the [[mediant]] between [[15/14]] and [[16/15]]. It can be used as a generator for [[miracle]] temperament, although it is on the flat end of the miracle spectrum. 5 steps of [[52edo]] is audibly indistinguishable from it.  


[[Category:31-limit]]
[[Category:31-limit]]
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[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
{{Todo|add sound example}} <!-- would be great to hear this interval -->

Revision as of 14:44, 5 December 2020

Interval information
Ratio 31/29
Subgroup monzo 29.31 [-1 1
Size in cents 115.4584¢
Name tricesimoprimal semitone
FJS name [math]\displaystyle{ \text{A1}^{31}_{29} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.81218
Weil norm (log2 max(n, d)) 9.90839
Wilson norm (sopfr(nd)) 60
Open this interval in xen-calc

31/29, or the tricesimoprimal semitone, is the mediant between 15/14 and 16/15. It can be used as a generator for miracle temperament, although it is on the flat end of the miracle spectrum. 5 steps of 52edo is audibly indistinguishable from it.