180/161

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 180/161
Subgroup monzo 2.3.5.7.23 [2 2 1 -1 -1
Size in cents 193.1235¢
Name inverse-arithmetic meantone
Color name 23ury1, twethuruyo unison
FJS name [math]\text{M2}^{5}_{7,23}[/math]
Special properties reduced
Tenney height (log2 nd) 14.8228
Weil height (log2 max(n, d)) 14.9837
Wilson height (sopfr(nd)) 45
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.20621 bits
open this interval in xen-calc

180/161, the inverse-arithmetic meantone, is a 23-limit ratio measuring about 193 cents. It is the inverse-arithmetic mean of 9/8, the Pythagorean whole tone, and 10/9, the classical whole tone, hence the name.