8/7

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Interval information
JI glyph Glyph 8 7.png
Ratio 8/7
Monzo |3 0 0 -1>
Size in cents 231.17409
Name(s) septimal supermajor second
Color name r2, ru 2nd

[sound info]

In Just Intonation, 8/7 is the "septimal supermajor second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of 12edo, it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a superparticular ratio. In 7-limit JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh (7/4) and octave. It differs from the Pythagorean major second of 9/8 by 64/63, a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.

See also