99/80

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 99/80
Factorization 2-4 × 32 × 5-1 × 11
Monzo [-4 2 -1 0 1
Size in cents 368.91423¢
Name undecimal submajor third
Color name logu 3rd, 1og3
FJS name [math]\text{m3}^{11}_{5}[/math]
Special properties reduced
Tenney height (log2 nd) 12.9513
Weil height (log2 max(n, d)) 13.2587
Wilson height (sopfr(nd)) 30
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21059 bits
open this interval in xen-calc

99/80, the undecimal submajor third, is exactly 8/7 flat of the very accurate half-octave of 99/70, and so is accurately represented in any even edo with a good 7, of which the first truly good example is 26edo.

It is the sum of a 9/8 whole tone and an 11/10 submajor second, and so is 8019/8000 sharp of 100/81.