4096/2187

Interval information

Ratio	4096/2187
Factorization	212 × 3-7
Monzo	[12 -7⟩
Size in cents	1086.315¢
Names	Threerish diminished octave, Pythagorean diminished octave
Color name	sw8, sawa 8ve
FJS name	[math]\displaystyle{ \text{d8} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	23.0947
Weil norm (log2 max(n, d))	24
Wilson norm (sopfr(nd))	45
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4096/2187, the Pythagorean diminished octave is the interval formed by subtracting 2187/2048, the apotome, from the octave. It differs from 15/8 by the schisma.

See also

• 2187/2048 – its octave complement
• Gallery of just intervals