13/10: Difference between revisions
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Go for "semisixth" |
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| Monzo = -1 0 -1 0 0 1 | | Monzo = -1 0 -1 0 0 1 | ||
| Cents = 454.21395 | | Cents = 454.21395 | ||
| Name = Barbados third, <br>tridecimal | | Name = Barbados third, <br>tridecimal semisixth | ||
| Color name = 3og4, thogu 4th | | Color name = 3og4, thogu 4th | ||
| FJS name = d4<sup>13</sup><sub>5</sub> | | FJS name = d4<sup>13</sup><sub>5</sub> | ||
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}} | }} | ||
In [[13-limit]] [[ | In [[13-limit]] [[just intonation]], '''13/10''', the '''tridecimal semisixth''' is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9/7]] and a flat perfect fourth such as [[21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15/13]]) which stack to make a [[3/2]] perfect fifth. It is well-approximated in [[16edo]], [[21edo]], [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems. | ||
== See also == | == See also == | ||
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[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category:Ratio]] | [[Category:Ratio]] | ||
[[Category:Interseptimal]] | |||
[[Category:Naiadic]] | |||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category: | [[Category:Infrafourth]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category: | [[Category:Ultramajor third]] | ||
[[Category:Over-5]] | [[Category:Over-5]] | ||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 14:51, 10 April 2021
| Interval information |
tridecimal semisixth
[sound info]
In 13-limit just intonation, 13/10, the tridecimal semisixth is an interseptimal interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as 9/7 and a flat perfect fourth such as 21/16. The descriptor "interseptimal" comes from Margo Schulter, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the harmonic series and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (15/13) which stack to make a 3/2 perfect fifth. It is well-approximated in 16edo, 21edo, 24edo, 29edo, 37edo, and of course, infinitely many other EDO systems.