1053/1024: Difference between revisions

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'''1053/1024''', the '''tridecimal quartertone''', 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''', the '''tridecimal quartertone''', '''tridecimal formal 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]].

== Temperaments ==

Tempering out this comma in the 2.3.13 subgroup results in the [[No-fives subgroup temperaments #Superflat|superflat]] temperament, giving rise to the name '''superflat comma'''.

[[Tempering out]] this comma in the 2.3.13 [[subgroup]] results in the [[No-fives subgroup temperaments #Superflat|superflat]] temperament, giving rise to the name '''superflat comma'''.

== Notation ==

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=== Functional Just System and Helmholtz-Ellis notation ===

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 [[13-limit|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 ==

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[[Category:Quartertone]]

[[Category:Commas named for their regular temperament properties]]

[[Category:Commas named after their interval size]]

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 }}
-'''1053/1024''', the '''tridecimal quartertone''', 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''', the '''tridecimal quartertone''', '''tridecimal formal 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]].
 == Temperaments ==
-Tempering out this comma in the 2.3.13 subgroup results in the [[No-fives subgroup temperaments #Superflat|superflat]] temperament, giving rise to the name '''superflat comma'''.
+[[Tempering out]] this comma in the 2.3.13 [[subgroup]] results in the [[No-fives subgroup temperaments #Superflat|superflat]] temperament, giving rise to the name '''superflat comma'''.
 == Notation ==
@@ Line 15: / Line 15: @@
 === Functional Just System and Helmholtz-Ellis notation ===
-/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]].
+/1024 is significant in [[Functional Just System]] as the [[13-limit|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 ==
@@ Line 22: / Line 22: @@
 [[Category:Quartertone]]
+[[Category:Commas named for their regular temperament properties]]
+[[Category:Commas named after their interval size]]