From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 121/81
Factorization 3-4 × 112
Monzo [0 -4 0 0 2
Size in cents 694.81588¢
Name Alpharabian narrow fifth
Color name 1oo5, lolo 5th
FJS name [math]\text{d5}^{11,11}[/math]
Special properties reduced
Tenney height (log2 nd) 13.2587
Weil height (log2 max(n, d)) 13.8377
Wilson height (sopfr (nd)) 34
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.6023 bits
open this interval in xen-calc

121/81, the Alpharabian narrow fifth or lolo 5th (694.8¢), is a Lulu comma 243/242 (7.1¢) below the just fifth 3/2. It is the interval created by stacking two 11/9 neutral thirds, and can be considered a meantone fifth. It differs from the marvellous fifth 112/75 by 3025/3024. Since 38edo represents 11/9 near perfectly, it also represents this near perfectly as well.

See also