16384/10935

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~3.43975 bits
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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

• Gallery of just intervals
• 10935/8192 – its octave complement