15/13

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Interval information
Ratio 15/13
Monzo |0 1 1 0 0 -1>
Size in cents 247.74105
Name(s) tredecimal super second, or ~ sub third
Color name 3uy2, thuyo 2nd

[sound info]

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 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".

See also