Leapday: Difference between revisions

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: ''Not to be confused with calendar-based scales such as those in [[293edo]], [[400edo]], [[353edo]] or [[Irvic scale|Irvian mode]].''

'''Leapday''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limit]]s. It is a member of [[High badness temperaments #Leapday|trisayo family]], sengic temperaments and [[hemifamity temperaments]]. It has a fifth generator of ~3/2 = 704.2¢, eight of them makes ~13/8, eleven of them makes ~11/8, fifteen of them makes ~7/4, twenty-one of them makes ~5/4 and twenty-four of them makes ~17/16. Equivalently, the fifth of leapday in size is ~2.3 cents sharp of 3/2, 13/8 is represented by an augmented fifth, 11/8 is represented by an augmented third, 7/4 is represented by a double-augmented fifth, 5/4 is represented by a triple-augmented unison, and 17/16 is represented by a negative triple-diminished third.

~~See~~ [[~~Hemifamity~~ temperaments ~~#Leapday~~|~~Hemifamity~~ temperaments]~~] for more technical data~~.

The temperament was named by [[Herman Miller]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10589.html Yahoo! Tuning Group (Archive) | ''Some 13-limit temperaments'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10604.html Yahoo! Tuning Group (Archive) | ''24 13-limit temperaments supported by 46'']</ref>.

~~Leapday is not to be confused with temperaments derived from calendar leap year cycles, such as Gregorian leap day in~~ [[~~400edo~~]].

See [[Hemifamity temperaments #Leapday]] for more technical data.

== Tuning spectrum ==

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== Notes ==

[[Category:Temperaments]]

[[Category:Hemifamity temperaments]]

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+: ''Not to be confused with calendar-based scales such as those in [[293edo]], [[400edo]], [[353edo]] or [[Irvic scale|Irvian mode]].''
 '''Leapday''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limit]]s. It is a member of [[High badness temperaments #Leapday|trisayo family]], sengic temperaments and [[hemifamity temperaments]]. It has a fifth generator of ~3/2 = 704.2¢, eight of them makes ~13/8, eleven of them makes ~11/8, fifteen of them makes ~7/4, twenty-one of them makes ~5/4 and twenty-four of them makes ~17/16. Equivalently, the fifth of leapday in size is ~2.3 cents sharp of 3/2, 13/8 is represented by an augmented fifth, 11/8 is represented by an augmented third, 7/4 is represented by a double-augmented fifth, 5/4 is represented by a triple-augmented unison, and 17/16 is represented by a negative triple-diminished third.
-See [[Hemifamity temperaments #Leapday|Hemifamity temperaments]] for more technical data.
+The temperament was named by [[Herman Miller]] in 2004<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10589.html Yahoo! Tuning Group (Archive) | ''Some 13-limit temperaments'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10604.html Yahoo! Tuning Group (Archive) | ''24 13-limit temperaments supported by 46'']</ref>.
-Leapday is not to be confused with temperaments derived from calendar leap year cycles, such as Gregorian leap day in [[400edo]].
+See [[Hemifamity temperaments #Leapday]] for more technical data.
 == Tuning spectrum ==
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 |}
+== Notes ==
 [[Category:Temperaments]]
 [[Category:Hemifamity temperaments]]