16/13: Difference between revisions

Line 1:

~~'''~~16/13~~'''~~

{{Infobox Interval

|4 0 0 0 0 -1~~>~~

| Icon =

| Ratio = 16/13

| Monzo = 4 0 0 0 0 -1

| Cents = 359.47234

| Name = neutral tridecimal third

| Color name =

| Sound = jid_16_13_pluck_adu_dr220.mp3

}}

359.~~47234 cents~~

In [[13-limit]] [[just intonation]], '''16/13''' is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8]], the 13th harmonic. It differs from [[5/4]] by [[65/64]], about 26.8¢. It differs from the undecimal neutral third [[11/9]] by [[144/143]], about 12¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[harmonic series]].

~~[[File~~:~~jid_16_13_pluck_adu_dr220.mp3]]~~ [[~~:File:jid_16_13_pluck_adu_dr220.mp3|sound sample~~]]

See: [[Gallery of Just Intervals]]

In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8|13/8]], the 13th harmonic. It differs from [[5/4|5/4]] by [[65/64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11/9|11/9]] by [[144/143|144/143]], about 12¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].

[[Category:13-limit]]

[[Category:Interval]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:13-limit]]

[[Category:Just interval]]

[[Category:~~interval~~]]

[[Category:Neutral third]]

[[Category:~~just_interval~~]]

[[Category:Ratio]]

[[Category:~~neutral_3rd~~]]

[[Category:Third]]

[[Category:~~ratio~~]]

[[Category:Tridecimal]]

[[Category:~~third~~]]

[[Category:~~tridecimal~~]]

@@ Line 1: / Line 1: @@
-'''16/13'''
+{{Infobox Interval
-|4 0 0 0 0 -1&gt;
+| Icon =
+| Ratio = 16/13
+| Monzo = 4 0 0 0 0 -1
+| Cents = 359.47234
+| Name = neutral tridecimal third
+| Color name =
+| Sound = jid_16_13_pluck_adu_dr220.mp3
+}}
-.47234 cents
+In [[13-limit]] [[just intonation]], '''16/13''' is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8]], the 13th harmonic. It differs from [[5/4]] by [[65/64]], about 26.8¢. It differs from the undecimal neutral third [[11/9]] by [[144/143]], about 12¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[harmonic series]].
-[[File:jid_16_13_pluck_adu_dr220.mp3]] [[:File:jid_16_13_pluck_adu_dr220.mp3|sound sample]]
+See: [[Gallery of Just Intervals]]
-In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 16/13 is a tridecimal (13-based) neutral third measuring about 359.5¢. It is the inversion of [[13/8|13/8]], the 13th harmonic. It differs from [[5/4|5/4]] by [[65/64|65/64]], about 26.8¢. It differs from the undecimal neutral third [[11/9|11/9]] by [[144/143|144/143]], about 12¢. A [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5 triad]] featuring 16/13 is 26:32:39, which introduces another tridecimal neutral third, [[39/32|39/32]], which measures about 342.5¢. The interval between these two intervals is 512/507, about 17¢. While 16/13 is utonal, 39/32 is otonal, as it is the 39th overtone of the [[OverToneSeries|harmonic series]].
+[[Category:13-limit]]
+[[Category:Interval]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:13-limit]]
+[[Category:Just interval]]
-[[Category:interval]]
+[[Category:Neutral third]]
-[[Category:just_interval]]
+[[Category:Ratio]]
-[[Category:neutral_3rd]]
+[[Category:Third]]
-[[Category:ratio]]
+[[Category:Tridecimal]]
-[[Category:third]]
-[[Category:tridecimal]]