31/16: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 31/16
| Ratio = 31/16
| Monzo = -4 0 0 0 0 0 0 0 0 0 1
| Monzo = -4 0 0 0 0 0 0 0 0 0 1
Line 6: Line 5:
| Name = octave-reduced 31st harmonic
| Name = octave-reduced 31st harmonic
| Color name = thiwo 7th
| Color name = thiwo 7th
| FJS name =  
| FJS name = M7<sup>31</sup>
| Sound = jid_31_16_pluck_adu_dr220.mp3
| Sound = jid_31_16_pluck_adu_dr220.mp3
}}
}}


'''31/16''' = 2<sup>−4</sup> ⋅ 31, the octave-reduced 31st harmonic.
'''31/16''' is the [[Octave reduction|octave-reduced]] 31st [[harmonic]]. It is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16.


[[Category:Interval]]
[[Category:31-limit]]
[[Category:Seventh]]
[[Category:Supermajor seventh]]
[[Category:Octave-reduced harmonics]]
[[Category:Pages with internal sound examples]]


[[Category:todo:expand]]
[[Category:todo:expand]]

Revision as of 18:22, 16 December 2021

Interval information
Ratio 31/16
Subgroup monzo 2.31 [-4 1
Size in cents 1145.036¢
Name octave-reduced 31st harmonic
Color name thiwo 7th
FJS name [math]\displaystyle{ \text{M7}^{31} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 8.9542
Weil height (log2 max(n, d)) 9.90839
Wilson height (sopfr(nd)) 39

[sound info]
Open this interval in xen-calc

31/16 is the octave-reduced 31st harmonic. It is very well approximated by 22edo, with 21\22 being 0.4 ¢ sharp of 31/16.