4096/2187

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Revision as of 14:53, 15 July 2021 by Aura (talk | contribs) (Created page with "{{Infobox Interval | Ratio = 4096/2187 | Monzo = 12 -7 | Cents = 1086.31499 | Name = Pythagorean diminished octave | Sound = | FJS name = d8 }} '''4096/2187''', the '''Pytha...")
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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
FJS name [math]\displaystyle{ \text{d8} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 23.0947
Weil norm (log2 max(n, d)) 24
Wilson norm (sopfr(nd)) 45
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

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