16384/10935: Difference between revisions

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| Color name = sagu 6th, sg6
| Color name = sagu 6th, sg6
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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'''. 12 of them exceed an octave by [[Kirnberger's atom]]
'''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 ==
== See also ==

Latest revision as of 22:14, 11 January 2024

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 norm (log2 nd) 27.4167
Weil norm (log2 max(n, d)) 28
Wilson norm (sopfr(nd)) 54
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