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Interval information
Ratio 16384/10935
Factorization 214 × 3-7 × 5-1
Monzo [14 -7 -1
Size in cents 700.00128¢
Name ptolemaic diminished sixth
Color name sagu 6th, sg6
FJS name [math]\text{d6}_{5}[/math]
Special properties reduced
Tenney height (log2 nd) 27.4167
Weil height (log2 max(n, d)) 28
Wilson height (sopfr (nd)) 54
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.43975 bits
open this interval in xen-calc

16384/10935, the ptolemaic diminished sixth is a 5-limit interval. It is flat of 3/2 by a schisma (32805/32768). In some contexts it may be considered a fifth interval, known as Kirnberger's fifth. Twelve of them exceed an octave by Kirnberger's atom.

See also