31/16: Difference between revisions

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 {{Infobox Interval
-| JI glyph =
+| Name = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic
-| Ratio = 31/16
+| Color name = 31o7, thiwo 7th
-| Monzo = -4 0 0 0 0 0 0 0 0 0 1
-| Cents = 1145.03557
-| Name = octave-reduced 31st harmonic
-| Color name = thiwo 7th
-| FJS name =
 | Sound = jid_31_16_pluck_adu_dr220.mp3
 }}
-'''31/16''' = 2<sup>−4</sup> ⋅ 31, the octave-reduced 31st harmonic.
+In [[31-limit]] [[just intonation]], '''31/16''' is either the '''tricesimoprimal ultramajor seventh''' or '''tricesimoprimal semidiminished octave''', which is also the [[octave reduction|octave-reduced]] [[31/1|31st]] [[harmonic]]. It is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[248/243]], and flat of the octave by [[32/31]].
-[[Category:Interval]]
+== Approximation ==
+/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16.
-[[Category:todo:expand]]
+== See also ==
+* [[32/31]] – its [[octave complement]]
+* [[48/31]] – its [[twelfth complement]]
+[[Category:Seventh]]
+[[Category:Supermajor seventh]]
+[[Category:Octave]]
+[[Category:Suboctave]]