25th-octave temperaments
Template:Fractional-octave navigation
Manganese
Manganese is the simplest 5-limit 25th-octave temperament by TE simple badness at 0.1 cent error [1].
Subgroup: 2.3.5
Comma list: [211 50 -125⟩
Mapping: [⟨25 2 43], ⟨0 5 2]]
- mapping generators: ~[76 18 -45⟩ = 1\25, ~[54 13 -32⟩ = 361.189
Optimal tuning (CTE): ~[54 13 -32⟩ = 361.189
Supporting ETs: 525, 1000, ...
Semimanganese
While manganese is a rather bulky temperament, splitting the generator in half lends itself to a high-limit interpretaton, which can be described as the 525 & 2000 temperament.