13/10: Difference between revisions

Line 1:

~~'''~~13/10~~'''~~

{{Infobox Interval

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

| Icon =

| Ratio = 13/10

| Monzo = -1 0 -1 0 0 1

| Cents = 454.21395

| Name = Barbados third, <br/> tridecimal 9/4 tone, <br/> tridecimal semidiminished fourth, <br/> tridecimal ultramaor third

| Color name = 3og4, thogu 4th

| Sound = jid_13_10_pluck_adu_dr220.mp3

}}

454.~~21395 cents~~

In [[13-limit]] [[Just Intonation]], '''13/10''' is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9/7]] and a flat perfect fourth such as [[21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15/13]]) which stack to make a [[3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.

[[~~File:jid_13_10_pluck_adu_dr220.mp3~~]] [[~~:File:jid_13_10_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[Gallery of just intervals]]

* [[List of root-3rd-P5 triads in JI]]

In [[~~13-limit|~~13-limit]] [[Just_intonation|Just Intonation]], 13/10 is an [[Interseptimal|interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9/7|9/7]] and a flat perfect fourth such as [[21/16|21/16]]. The descriptor "interseptimal" comes from [[Margo_Schulter|Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15/13|15/13]]) which stack to make a [[3/2|3/2]] perfect fifth. It is well-approximated in [[24edo|24edo]], [[29edo|29edo]], [[37edo|37edo]]~~, and of course, infinitely many other [[EDO|EDO~~]~~] systems.~~

[[Category:13-limit]]

[[Category:Fourth]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]]~~ [[Category:~~13-limit~~]]

[[Category:Interval]]

[[Category:~~fourth~~]]

[[Category:Just interval]]

[[Category:~~interval~~]]

[[Category:Major third]]

[[Category:~~just_interval~~]]

[[Category:Third]]

[[Category:~~major_third~~]]

[[Category:Ratio]]

[[Category:~~ratio~~]]

[[Category:Interseptimal]]

@@ Line 1: / Line 1: @@
-'''13/10'''
+{{Infobox Interval
-|-1 0 -1 0 0 1&gt;
+| Icon =
+| Ratio = 13/10
+| Monzo = -1 0 -1 0 0 1
+| Cents = 454.21395
+| Name = Barbados third, <br/> tridecimal 9/4 tone, <br/> tridecimal semidiminished fourth, <br/> tridecimal ultramaor third
+| Color name = 3og4, thogu 4th
+| Sound = jid_13_10_pluck_adu_dr220.mp3
+}}
-.21395 cents
+In [[13-limit]] [[Just Intonation]], '''13/10''' is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9/7]] and a flat perfect fourth such as [[21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15/13]]) which stack to make a [[3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems.
-[[File:jid_13_10_pluck_adu_dr220.mp3]] [[:File:jid_13_10_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of just intervals]]
+* [[List of root-3rd-P5 triads in JI]]
-In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 13/10 is an [[Interseptimal|interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9/7|9/7]] and a flat perfect fourth such as [[21/16|21/16]]. The descriptor "interseptimal" comes from [[Margo_Schulter|Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15/13|15/13]]) which stack to make a [[3/2|3/2]] perfect fifth. It is well-approximated in [[24edo|24edo]], [[29edo|29edo]], [[37edo|37edo]], and of course, infinitely many other [[EDO|EDO]] systems.
+[[Category:13-limit]]
+[[Category:Fourth]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]]      [[Category:13-limit]]
+[[Category:Interval]]
-[[Category:fourth]]
+[[Category:Just interval]]
-[[Category:interval]]
+[[Category:Major third]]
-[[Category:just_interval]]
+[[Category:Third]]
-[[Category:major_third]]
+[[Category:Ratio]]
-[[Category:ratio]]
+[[Category:Interseptimal]]