256/135

Interval information

Ratio	256/135
Factorization	28 × 3-3 × 5-1
Monzo	[8 -3 -1⟩
Size in cents	1107.821¢
Name	ptolemaic diminished octave
Color name	sg8, sagu octave
FJS name	[math]\displaystyle{ \text{d8}_{5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	15.0768
Weil height (log2 max(n, d))	16
Wilson height (sopfr(nd))	30
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23773 bits
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The interval 256/135, the ptolemaic diminished octave is the interval formed by subtracting 135/128 from the octave, it differs from 243/128 by the schisma.

See also

• 135/128 – its octave complement
• Gallery of just intervals