15/13: Difference between revisions

Line 1:

~~'''~~15/13~~'''~~

{{Infobox Interval

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

| Icon =

| Ratio = 15/13

| Monzo = 0 1 1 0 0 -1

| Cents = 247.74105

| Name = tredecimal minor third

| Sound = jid_15_13_pluck_adu_dr220.mp3

| Color name =

}}

247.~~74105 cents~~

In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8/7]] and the small minor third [[7/6]]. (15/13)*([[13/10]])=[[3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".

[[~~File:jid_15_13_pluck_adu_dr220.mp3~~]] [[~~:File:jid_15_13_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[Gallery of Just Intervals]],

* [[The Archipelago]]

* [[26/15]] its [[octave complement]]

In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo_Schulter|Margo Schulter]], 15/13 is an instance of an [[Interseptimal|interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8/7|8/7]] and the small minor third [[7/6|7/6]]. (15/13)*([[13/10|13/10]])=[[3/2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".

[[Category:13-limit]]

[[Category:Interval]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[The_Archipelago|The Archipelago]]~~ [[Category:~~13-limit~~]]

[[Category:interseptimal]]

[[Category:second]]

@@ Line 1: / Line 1: @@
-'''15/13'''
+{{Infobox Interval
-|0 1 1 0 0 -1&gt;
+| Icon =
+| Ratio = 15/13
+| Monzo = 0 1 1 0 0 -1
+| Cents = 247.74105
+| Name = tredecimal minor third
+| Sound = jid_15_13_pluck_adu_dr220.mp3
+| Color name =
+}}
-.74105 cents
+In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8/7]] and the small minor third [[7/6]]. (15/13)*([[13/10]])=[[3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".
-[[File:jid_15_13_pluck_adu_dr220.mp3]] [[:File:jid_15_13_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of Just Intervals]],
+* [[The Archipelago]]
+* [[26/15]] its [[octave complement]]
-In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo_Schulter|Margo Schulter]], 15/13 is an instance of an [[Interseptimal|interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large major second [[8/7|8/7]] and the small minor third [[7/6|7/6]]. (15/13)*([[13/10|13/10]])=[[3/2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List_of_root-3rd-P5_triads_in_JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. When being used as type of second, it is given the name "ultra second" as it is even sharper than 8/7 which is often called a "super major second".
+[[Category:13-limit]]
+[[Category:Interval]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[The_Archipelago|The Archipelago]]      [[Category:13-limit]]
 [[Category:interseptimal]]
 [[Category:second]]