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Interval information
Ratio 4096/2187
Factorization 212 × 3-7
Monzo [12 -7
Size in cents 1086.315¢
Name Pythagorean diminished octave
Color name sw8, sawa 8ve
FJS name [math]\text{d8}[/math]
Special properties reduced
Tenney height (log2 nd) 23.0947
Weil height (log2 max(n, d)) 24
Wilson height (sopfr (nd)) 45
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22567 bits
open this interval in xen-calc

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