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Interval information
Ratio 256/135
Factorization 28 × 3-3 × 5-1
Monzo [8 -3 -1
Size in cents 1107.8213¢
Name ptolemaic diminished octave
Color name sg8, sagu octave
FJS name [math]\text{d8}_{5}[/math]
Special properties reduced
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
open this interval in xen-calc

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