256/135
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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]\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]\sqrt{nd}[/math])
~4.23773 bits
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| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.