13/10: Difference between revisions
No edit summary |
|||
| Line 4: | Line 4: | ||
| 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 9/4 tone, <br/> tridecimal semidiminished fourth, <br/> tridecimal | | 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 | ||
| Sound = jid_13_10_pluck_adu_dr220.mp3 | | Sound = jid_13_10_pluck_adu_dr220.mp3 | ||
Revision as of 18:01, 16 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.