From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 36/25
Factorization 22 × 32 × 5-2
Monzo [2 2 -2
Size in cents 631.28257¢
Names classic(al) diminshed fifth,
diptolemaic diminished fifth
Color name gg5, gugu 5th
FJS name [math]\text{d5}_{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 9.81378
Weil height (log2 max(n, d)) 10.3399
Wilson height (sopfr (nd)) 20
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21883 bits

[sound info]
open this interval in xen-calc

36/25, the classic(al) diminished fifth or diptolemaic diminished fifth, is the 5-limit tritone produced by stacking two 6/5 minor thirds. This means it is justly tuned in 1/3-comma meantone, and almost perfectly in 19edo. It is 325/324 (5.3 cents) flat of 13/9, and the interval between 10/9 and 8/5 or 5/4 and 9/5 respectively.

See also