36/25
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Ratio
36/25
Factorization
22 × 32 × 5-2
Monzo
[2 2 -2⟩
Size in cents
631.28257¢
Names
classic(al) diminished 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
| Interval information |
diptolemaic diminished fifth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.