29/16: Difference between revisions

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{{Infobox Interval

| ~~Ratio = 29/16~~

| Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic

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

~~| Cents = 1029.5772~~

~~| Name =~~ 29th harmonic

| Color name = 29o7, tweno 7th

~~| FJS name = m7<sup>29</sup>~~

| Sound = jid_29_16_pluck_adu_dr220.mp3

}}

In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also the [[octave reduction|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).

~~'''29/16'''~~ is ~~the~~ [[~~Octave reduction|octave-reduced~~]] ~~29th~~ [[~~harmonic~~]]. ~~The [[octave complement]] is~~ [[32/29]]~~. It is sharp of the classic minor seventh (~~[[~~9/5~~]]~~) by~~ [[~~145~~/~~144~~]] ~~(~12~~ [[~~Cent|¢~~]])

== Approximation ==

This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.

== See also ==

* [[32/29]] – its [[octave complement]]

* [[48/29]] – its [[twelfth complement]]

~~[[Category:29-limit]]~~

[[Category:Seventh]]

[[Category:Minor seventh]]

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

[[Category:Equable heptatonic]]

~~{{todo|expand}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 29/16
+| Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic
-| Monzo = -4 0 0 0 0 0 0 0 0 1
-| Cents = 1029.5772
-| Name = 29th harmonic
 | Color name = 29o7, tweno 7th
-| FJS name = m7<sup>29</sup>
 | Sound = jid_29_16_pluck_adu_dr220.mp3
 }}
+In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also the [[octave reduction|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).
-'''29/16''' is the [[Octave reduction|octave-reduced]] 29th [[harmonic]]. The [[octave complement]] is [[32/29]]. It is sharp of the classic minor seventh ([[9/5]]) by [[145/144]] (~12 [[Cent|¢]])
+== Approximation ==
+This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.
+== See also ==
+* [[32/29]] – its [[octave complement]]
+* [[48/29]] – its [[twelfth complement]]
-[[Category:29-limit]]
 [[Category:Seventh]]
 [[Category:Minor seventh]]
-[[Category:Octave-reduced harmonics]]
+[[Category:Equable heptatonic]]
-{{todo|expand}}