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Interval information
Ratio 49/48
Factorization 2-4 × 3-1 × 72
Monzo [-4 -1 0 2
Size in cents 35.696812¢
Names large septimal diesis,
slendro diesis
Color name zz2, zozo 2nd,
Zozo comma
FJS name [math]\text{m2}^{7,7}[/math]
Special properties square superparticular,
Tenney height (log2 nd) 11.1997
Weil height (log2 max(n, d)) 11.2294
Wilson height (sopfr (nd)) 25
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.62964 bits
Comma size medium
S-expression S7

[sound info]
open this interval in xen-calc
English Wikipedia has an article on:

49/48, the large septimal diesis (or slendro diesis), is a superparticular ratio spanning the small distance between a subminor third (7/6) and a supermajor second (8/7) or between the supermajor sixth (12/7) and the harmonic seventh (7/4). Measuring about 35.7 ¢, it is a medium comma; however, in classical Western music, this interval is not known as a comma as it is not tempered out in 12edo.

49/48 is tempered out in 15edo and 19edo, where the two intervals are equated, and the fourth is split in a perfect half. It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct, but it can be equated with other commas; for example (49/48)/(81/80) = 245/243, (49/48)/(64/63) = 1029/1024, (49/48)/(3125/3072) = 3136/3125, (49/48)/(50/49) = 2401/2400, (128/125)/(49/48) = 6144/6125, (36/35)/(49/48) = 1728/1715.

See also