8/7

From Xenharmonic Wiki
Revision as of 17:09, 8 September 2020 by Xenwolf (talk | contribs) (cats)
Jump to navigation Jump to search
Interval information
Ratio 8/7
Factorization 23 × 7-1
Monzo [3 0 0 -1
Size in cents 231.1741¢
Name septimal supermajor second
Color name r2, ru 2nd
FJS name [math]\displaystyle{ \text{M2}_{7} }[/math]
Special properties superparticular,
reduced,
reduced subharmonic
Tenney norm (log2 nd) 5.80735
Weil norm (log2 max(n, d)) 6
Wilson norm (sopfr(nd)) 13

[sound info]
Open this interval in xen-calc

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