Marveldene

The marveldene is the marvel tempering of various scales, including the Ellis Duodene. The Ellis Duodene is a 5-limit scale which can variously be called the Euler genus Euler(675), the 5-limit dwarf scale Dwarf(⟨12 19 28]), the Fokker block syndie3, the Gandhar tuning, the de Caus monochord and Mersenne's spinet tuning #1. It is also the tempering of 7-limit scales blue-ji, which is also called Lumma #1, and the tempering of Dwarf(⟨12 19 28 34]). It is also the hecate tempering of the 13-limit scale thirteendene.

Marvel can be tuned to 166edo in the 7-, 11- and 13-limits, though the 11-limit adds nothing to the 9-limit in the case of the duodene. The 13-limit 166edo tuning makes it hecate, so one might call it the hecatedene.

Scala definition

! marveldene.scl
!
Duodene, etc., in 166et
12
!
115.66265
202.40964
318.07229
383.13253
498.79518
585.54217
701.20482
816.86747
881.92771
1019.27711
1084.33735
1200.00000