15/13: Difference between revisions
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{{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. | 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". | ||
[[ | == See also == | ||
* [[Gallery of Just Intervals]], | |||
* [[The Archipelago]] | |||
* [[26/15]] its [[octave complement]] | |||
[[Category:13-limit]] | |||
[[Category:Interval]] | |||
[[Category:interseptimal]] | [[Category:interseptimal]] | ||
[[Category:second]] | [[Category:second]] | ||
Revision as of 21:08, 18 October 2018
| Interval information |
[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".