512/507: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = tridecimal neutral thirds comma | | Name = tridecimal neutral thirds comma | ||
| Color name = 3uu1, thuthu 1sn,<br>Thuthu comma | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''512/507''', the '''tridecimal neutral thirds comma''', is a [[13-limit]] (also 2.3.13 subgroup) comma with a value of roughly 17.0 [[cent]]s. It is significant in [[just intonation]] as the amount by which the tridecimal neutral third, [[16/13]], differs from its [[fifth complement]], [[39/32]], as well as the amount by which a stack of two [[1053/1024]] quartertones fall short of the [[apotome]]. | '''512/507''', the '''tridecimal neutral thirds comma''', is a [[13-limit]] (also [[2.3.13 subgroup|2.3.13-subgroup]]) [[comma]] with a value of roughly 17.0 [[cent]]s. It is significant in [[just intonation]] as the amount by which the tridecimal neutral third, [[16/13]], differs from its [[fifth complement]], [[39/32]], as well as the amount by which a stack of two [[1053/1024]] quartertones fall short of the [[apotome]]. | ||
== Temperaments == | |||
[[Tempering out]] this comma equates both tridecimal neutral thirds to the true neutral third [[sqrt(3/2)]], and is proposed to be called '''harmoneutral''' temperament by [[User:VectorGraphics|Vector]] in 2025, as it tempers the subharmonic neutral third together with its fifth complement. Tempering it out along with 4096/3993 and 361/352 in 2.3.11.13.19 leads to a temperament proposed to be called ''deltahexacot'' after its ploidacot. | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
[[Category:Commas named for the intervals they stack]] | |||
Latest revision as of 00:36, 30 August 2025
| Interval information |
Thuthu comma
reduced subharmonic
512/507, the tridecimal neutral thirds comma, is a 13-limit (also 2.3.13-subgroup) comma with a value of roughly 17.0 cents. It is significant in just intonation as the amount by which the tridecimal neutral third, 16/13, differs from its fifth complement, 39/32, as well as the amount by which a stack of two 1053/1024 quartertones fall short of the apotome.
Temperaments
Tempering out this comma equates both tridecimal neutral thirds to the true neutral third sqrt(3/2), and is proposed to be called harmoneutral temperament by Vector in 2025, as it tempers the subharmonic neutral third together with its fifth complement. Tempering it out along with 4096/3993 and 361/352 in 2.3.11.13.19 leads to a temperament proposed to be called deltahexacot after its ploidacot.