16384/10935
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Ratio
16384/10935
Factorization
214 × 3-7 × 5-1
Monzo
[14 -7 -1⟩
Size in cents
700.0013¢
Name
ptolemaic diminished sixth
Color name
sagu 6th, sg6
FJS name
[math]\text{d6}_{5}[/math]
Special properties
reduced,
reduced subharmonic
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
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.