16384/10935: Difference between revisions

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"Classic(al) diminished sixth" is most likely 192/125 = (8/5)/(25/24). This is ptolemaic in Pythagorean-commatic names
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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.
'''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'''.
 
== See also ==
* [[Gallery of just intervals]]
* [[10935/8192]] – its [[octave complement]]


[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Diminished sixth]]
[[Category:Diminished sixth]]
[[CAtegory:Fifth]]

Revision as of 09:01, 3 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.

See also