15/13: Difference between revisions
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Go for "semifourth" for this interval |
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| Line 4: | Line 4: | ||
| Monzo = 0 1 1 0 0 -1 | | Monzo = 0 1 1 0 0 -1 | ||
| Cents = 247.74105 | | Cents = 247.74105 | ||
| Name = tridecimal | | Name = tridecimal semifourth | ||
| Color name = 3uy2, thuyo 2nd | | Color name = 3uy2, thuyo 2nd | ||
| FJS name = A2<sup>5</sup><sub>13</sub> | | FJS name = A2<sup>5</sup><sub>13</sub> | ||
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}} | }} | ||
In [[13-limit]] [[ | 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 == | == See also == | ||
* [[26/15]] – its [[octave complement]] | * [[26/15]] – its [[octave complement]] | ||
* [[13/10]] – its [[fifth complement]] | * [[13/10]] – its [[fifth complement]] | ||
* [[Gallery of | * [[Gallery of just intervals]] | ||
* [[The Archipelago]] | * [[The Archipelago]] | ||
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[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal]] | ||
[[Category:Semifourth]] | |||
[[Category:Third]] | [[Category:Third]] | ||
[[Category: | [[Category:Inframinor third]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category: | [[Category:Ultramajor second]] | ||
[[Category:Taxicab-2]] | [[Category:Taxicab-2]] | ||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 14:36, 10 April 2021
| Interval information |
[sound info]
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 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".