36/25

Interval information

Ratio	36/25
Factorization	22 × 32 × 5-2
Monzo	[2 2 -2⟩
Size in cents	631.2826¢
Names	classic(al) diminished fifth, diptolemaic diminished fifth
Color name	gg5, gugu 5th
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.21883 bits
[sound info]
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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

• 25/18 – its octave complement
• Gallery of just intervals