15/13: Difference between revisions

Line 4:

| Monzo = 0 1 1 0 0 -1

| Cents = 247.74105

| Name = tridecimal ~~ultramajor second, tridecimal inframinor third~~

| Name = tridecimal semifourth

| Color name = 3uy2, thuyo 2nd

| FJS name = A2513

Line 10:

}}

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 "supermajor second".

In [[13-limit]] [[just intonation]], '''15/13''', the '''tridecimal semifourth''' 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 ''ultramajor second'' as it is even sharper than 8/7 which is often called a "supermajor second".

== See also ==

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

* [[13/10]] – its [[fifth complement]]

* [[Gallery of ~~Just Intervals~~]]

* [[Gallery of just intervals]]

* [[The Archipelago]]

Line 21:

[[Category:Interval]]

[[Category:Interseptimal]]

[[Category:Semifourth]]

[[Category:Third]]

[[Category:~~Subminor~~ third]]

[[Category:Inframinor third]]

[[Category:Second]]

[[Category:~~Supermajor~~ second]]

[[Category:Ultramajor second]]

[[Category:Taxicab-2]]

~~[[Category:Whole tone]]~~

~~[[Category:Godzilla third]]~~

[[Category:Pages with internal sound examples]]

@@ Line 4: / Line 4: @@
 | Monzo = 0 1 1 0 0 -1
 | Cents = 247.74105
-| Name = tridecimal ultramajor second, <br>tridecimal inframinor third
+| Name = tridecimal semifourth
 | Color name = 3uy2, thuyo 2nd
 | FJS name = A2<sup>5</sup><sub>13</sub>
@@ Line 10: / Line 10: @@
 }}
-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 "supermajor second".
+In [[13-limit]] [[just intonation]], '''15/13''', the '''tridecimal semifourth''' 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 ''ultramajor second'' as it is even sharper than 8/7 which is often called a "supermajor second".
 == See also ==
 * [[26/15]] – its [[octave complement]]
 * [[13/10]] – its [[fifth complement]]
-* [[Gallery of Just Intervals]]
+* [[Gallery of just intervals]]
 * [[The Archipelago]]
@@ Line 21: / Line 21: @@
 [[Category:Interval]]
 [[Category:Interseptimal]]
+[[Category:Semifourth]]
 [[Category:Third]]
-[[Category:Subminor third]]
+[[Category:Inframinor third]]
 [[Category:Second]]
-[[Category:Supermajor second]]
+[[Category:Ultramajor second]]
 [[Category:Taxicab-2]]
-[[Category:Whole tone]]
-[[Category:Godzilla third]]
 [[Category:Pages with internal sound examples]]