1053/1024: Difference between revisions

"tridecimal quartertone"
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'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quarter tone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].  
'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It can be considered a type of quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].  


1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].  
1053/1024 is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]].  


== See Also ==
== See also ==
* [[Medium comma]]
* [[Medium comma]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Medium comma]]
[[Category:Medium comma]]
[[Category:Ratio]]
[[Category:Quartertone]]
[[Category:Quartertone]]
[[Category:Overtone]]
[[Category:Octave-reduced harmonics]]