31/16: Difference between revisions

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{{Infobox Interval

~~| Ratio = 31/16~~

| Name = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic

~~| Monzo = -4 0 0 0 0 0 0 0 0 0 1~~

| Color name = 31o7, thiwo 7th

~~| Cents = 1145.03557~~

| Name = octave-reduced 31st harmonic

| Color name = thiwo 7th

~~| FJS name = M7<sup>31</sup>~~

| Sound = jid_31_16_pluck_adu_dr220.mp3

}}

'''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.

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]].

== Approximation ==

31/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16.

== See also ==

* [[32/31]] – its [[octave complement]]

* [[48/31]] – its [[twelfth complement]]

~~[[Category:31-limit]]~~

[[Category:Seventh]]

[[Category:Supermajor seventh]]

[[Category:Octave~~-reduced harmonics~~]]

[[Category:Octave]]

[[Category:~~Pages with internal sound examples]]~~

[[Category:Suboctave]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 31/16
+| Name = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic
-| Monzo = -4 0 0 0 0 0 0 0 0 0 1
+| Color name = 31o7, thiwo 7th
-| Cents = 1145.03557
-| Name = octave-reduced 31st harmonic
-| Color name = thiwo 7th
-| FJS name = M7<sup>31</sup>
 | Sound = jid_31_16_pluck_adu_dr220.mp3
 }}
-'''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.
+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]].
+== Approximation ==
+/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16.
+== See also ==
+* [[32/31]] – its [[octave complement]]
+* [[48/31]] – its [[twelfth complement]]
-[[Category:31-limit]]
 [[Category:Seventh]]
 [[Category:Supermajor seventh]]
-[[Category:Octave-reduced harmonics]]
+[[Category:Octave]]
-[[Category:Pages with internal sound examples]]
+[[Category:Suboctave]]
-[[Category:todo:expand]]