81/70

From Xenharmonic Wiki
Jump to: navigation, search
Interval information
Ratio 81/70
Monzo [-1 4 -1 -1
Size in cents 252.6804
Name(s) septimal semiaugmented second,
septimal ultramajor second
Color name rg2, rugu 2nd

81/70, the septimal semiaugmented second or septimal ultramajor second is a 7-limit interseptimal ratio of about 253 cents. It is sharp of a subminor third 7/6 by a sensamagic comma 245/243, and sharp of a major second 16/9 by a septimal quartertone 36/35.

It is also sharp of a minor third 6/5 by a subminor second 28/27. For this fact it is useful in the Canovian chord and provides the function of a voice leading up to the minor third.

The interval is so perfectly approximated by 19-edo, with an error of 0.05 cents. There are a number of edos that do this equally well, 171-edo to name one. The first edo that does this better than 19-edo with patent val is 660-edo.

See also