31/29: Difference between revisions

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Closeness to 77/72
 
Line 5: Line 5:


'''31/29''', 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''', 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.  
It is extremely close to [[77/72]], differing only of it by [[2233/2232]].


[[Category:Semitone]]
[[Category:Semitone]]

Latest revision as of 21:42, 26 September 2026

Interval information
Ratio 31/29
Subgroup monzo 29.31 [-1 1⟩
Size in cents 115.4584 ¢
Name tricesimoprimal semitone
Color name 31o29u1, thiwotwenu unison
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, 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.

It is extremely close to 77/72, differing only of it by 2233/2232.