31/29: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 31/29
| Ratio = 31/29
| Monzo = 0 0 0 0 0 0 0 0 0 -1 1
| Monzo = 0 0 0 0 0 0 0 0 0 -1 1
Line 6: Line 5:
| Name = tricesimoprimal semitone
| Name = tricesimoprimal semitone
| Color name =  
| Color name =  
| FJS name =  
| FJS name = A1<sup>31</sup><sub>29</sub>
| Sound =  
| Sound =  
}}
}}


'''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''', 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]]
[[Category:Interval]]
[[Category:Just interval]]
[[Category:Ratio]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]


{{Todo|add sound example}} <!-- would be great to hear this interval -->
{{todo|add color name|add sound example}} <!-- would be great to hear this interval -->

Revision as of 18:38, 16 December 2021

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, 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.