Dee leap week: Difference between revisions
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== Data == | == Data == | ||
See [[Gamelismic clan#Dee leap week]]. | See [[Gamelismic clan #Dee leap week]]. | ||
== Links == | == Links == | ||
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* http://individual.utoronto.ca/kalendis/leap/index.htm | * http://individual.utoronto.ca/kalendis/leap/index.htm | ||
[[Category:Dee leap week| ]] <!-- main article --> | |||
[[Category:Rank-2 temperaments]] | |||
[[Category:Gamelismic clan]] | [[Category:Gamelismic clan]] | ||
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Revision as of 14:35, 10 September 2025
Dee leap week is a rank-2 temperament with the comma basis 385/384, 441/440, and 2460375/2458624, making it a contraction of portent.
It is 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.
Theory
In this temperament, the generator corresponds to 135/112, and three of them make a 7/4. 135/112 is 225/224 sharp of 6/5.
In 231edo, this corresponds to 62\231.
Chords
One of the main chords of this temperament is 0-62-124-186, which divides 7/4 into three.
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.
Data
See Gamelismic clan #Dee leap week.