15/13: Difference between revisions
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| Monzo = 0 1 1 0 0 -1 | | Monzo = 0 1 1 0 0 -1 | ||
| Cents = 247.74105 | | Cents = 247.74105 | ||
| Name = | | Name = tridecimal ultramajor second, <br>tridecimal ultraminor third | ||
| Color name = 3uy2, thuyo 2nd | |||
| FJS name = A2<sup>5</sup><sub>13</sub> | |||
| Sound = jid_15_13_pluck_adu_dr220.mp3 | | Sound = jid_15_13_pluck_adu_dr220.mp3 | ||
}} | }} | ||
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 | 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". | ||
== See also == | == See also == | ||
* [[Gallery of Just Intervals]] | * [[26/15]] – its [[octave complement]] | ||
* [[13/10]] – its [[fifth complement]] | |||
* [[Gallery of Just Intervals]] | |||
* [[The Archipelago]] | * [[The Archipelago]] | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
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[[Category:Interseptimal]] | [[Category:Interseptimal]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Subminor third]] | |||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Supermajor second]] | [[Category:Supermajor second]] | ||
Revision as of 11:43, 20 September 2020
| Interval information |
tridecimal ultraminor third
[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 "supermajor second".