10th-octave temperaments

Template:Fractional-octave navigation 10edo is notable for having close approximations of 15/14 to one step, and 13/8 to 7 steps. 10th-octave temperaments naturally occur between any equal divisions of the octave whose greatest common divisor is 10.

Temperaments discussed elsewhere include: decoid, deca, decal, decimetra, decistearn, decavish, and linus.

Neon

Neon tempers out the [21 60 -50⟩ comma in the 5-limit. Neon extensions discussed elsewhere include deca, calcium, and zinc.

Subgroup: 2.3.5

Comma list: [21 60 -50⟩

Mapping: [⟨10 4 9], ⟨0 5 6]]

mapping generators: ~3125/2916 = 1\10, [10 29 -24⟩ = 284.389

Optimal tuning (CTE): ~[10 29 -24⟩ = 284.389

Supporting ETs: 80, 190, 270, 460, 730, 1000, 1190, 1270, 1460, 2460