Dee leap week: Difference between revisions
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'''Dee leap week''' is a | '''Dee leap week''' is a [[regular temperament|temperament]] with a [[generator]] reprensenting [[135/112]], and three of them make a [[~]][[7/4]]. 135/112 is [[225/224]] sharp of [[6/5]]. In the 11-limit it tempers out [[385/384]] and [[441/440]] as is usual for temperaments in the [[gamelismic clan]]. | ||
Dee leap week was named by [[Eliora]] in 2022, derived from a 41 & 231 [[maximal evenness]] scale in a leap week version calendar proposed by John Dee, which features 8 leap days in 33 years in a [[1L 7s|44444445 pattern]]. The leap week version would have ((365 + 8/33) / 7 - 52)⋅7 = (5 + 6/7)/33 = 41/231 week excess, and therefore represented by the 41 in 231 maximal evenness scale. | |||
See [[Gamelismic clan #Dee leap week]] for technical data. | |||
== Trivia == | |||
According to the "Fixed Leap Cycle Finder" Excel widget provided on the Calendar Leap Cycles page, 231-year cycle is spread into 45 141 45 pattern, which results in an 8/7–32/21–8/7 chord. This can further be dissected into 45, 45, 6, 45, 45, which is the [[slendric pentad]]. As such, Dee leap week temperament provides chords which split both 3/2 and 7/4 into three parts. | |||
== | == External links == | ||
* [https://calendars.fandom.com/wiki/Dee_calendar Fandom | Calendar Wiki | ''Dee calendar''] | |||
* [http://individual.utoronto.ca/kalendis/leap/index.htm]{{dead link}} | |||
* http://individual.utoronto.ca/kalendis/leap/index.htm | |||
[[Category:Dee leap week| ]] <!-- main article --> | [[Category:Dee leap week| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category:Gamelismic clan]] | [[Category:Gamelismic clan]] | ||
Revision as of 13:13, 16 November 2025
Dee leap week is a temperament with a generator reprensenting 135/112, and three of them make a ~7/4. 135/112 is 225/224 sharp of 6/5. In the 11-limit it tempers out 385/384 and 441/440 as is usual for temperaments in the gamelismic clan.
Dee leap week was named by Eliora in 2022, derived from a 41 & 231 maximal evenness scale in a leap week version calendar proposed by John Dee, which features 8 leap days in 33 years in a 44444445 pattern. The leap week version would have ((365 + 8/33) / 7 - 52)⋅7 = (5 + 6/7)/33 = 41/231 week excess, and therefore represented by the 41 in 231 maximal evenness scale.
See Gamelismic clan #Dee leap week for technical data.
Trivia
According to the "Fixed Leap Cycle Finder" Excel widget provided on the Calendar Leap Cycles page, 231-year cycle is spread into 45 141 45 pattern, which results in an 8/7–32/21–8/7 chord. This can further be dissected into 45, 45, 6, 45, 45, which is the slendric pentad. As such, Dee leap week temperament provides chords which split both 3/2 and 7/4 into three parts.