4096/2187
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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,
reduced subharmonic
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
Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.