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