1053/1024: Difference between revisions
m terrible "tridecimal" name for the temp implied. this is clearly related to a flattone-like structure cuz why would u temper the fifth that flat if u wasnt already using flattone |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = tridecimal quartertone, | | Name = tridecimal quartertone, superflat comma | ||
| Color name = L3o1, latho 1sn,<br>Latho comma | | Color name = L3o1, latho 1sn,<br>Latho comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal | '''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'''. | |||
== Notation == | == Notation == | ||
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=== Functional Just System and Helmholtz-Ellis notation === | === 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 == | == See also == | ||
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[[Category:Quartertone]] | [[Category:Quartertone]] | ||
[[Category:Commas named for their regular temperament properties]] | |||
[[Category:Commas named after their interval size]] | |||