13/10: Difference between revisions
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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 | | Name = Barbados third, <br>tridecimal 9/4 tone, <br>tridecimal semidiminished fourth, <br>tridecimal ultramajor third | ||
| Color name = 3og4, thogu 4th | | Color name = 3og4, thogu 4th | ||
| FJS name = d4<sup>13</sup><sub>5</sub> | |||
| Sound = jid_13_10_pluck_adu_dr220.mp3 | | Sound = jid_13_10_pluck_adu_dr220.mp3 | ||
}} | }} | ||
In [[13-limit]] [[Just Intonation]], '''13/10''' 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 [[ | In [[13-limit]] [[Just Intonation]], '''13/10''' 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 == | ||
* [[20/13]] – its [[octave complement]] | |||
* [[15/13]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of root-3rd-P5 triads in JI]] | * [[List of root-3rd-P5 triads in JI]] | ||
* [[ | * [[The Archipelago]] | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category: | [[Category:Ratio]] | ||
[[Category:Fourth]] | |||
[[Category:Subfourth]] | |||
[[Category:Third]] | [[Category:Third]] | ||
[[Category: | [[Category:Supermajor third]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal]] | ||
[[Category:Naiadic]] | [[Category:Naiadic]] | ||
[[Category:Over-5]] | [[Category:Over-5]] | ||
Revision as of 11:43, 20 September 2020
| Interval information |
tridecimal 9/4 tone,
tridecimal semidiminished fourth,
tridecimal ultramajor third
[sound info]
In 13-limit Just Intonation, 13/10 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.