Dee leap week

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.

Tunings

Norm-based tunings

7-limit norm-based tunings

	Euclidean
	Constrained	Constrained & skewed	Destretched
Tenney	CTE: ~224/135 = 877.8770 ¢	CWE: ~224/135 = 877.8926 ¢	POTE: ~224/135 = 877.8969 ¢

11-limit norm-based tunings

	Euclidean
	Constrained	Constrained & skewed	Destretched
Tenney	CTE: ~224/135 = 877.9026 ¢	CWE: ~224/135 = 877.8987 ¢	POTE: ~224/135 = 877.8976 ¢

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

• Fandom | Calendar Wiki | Dee calendar
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