Dicot
Lua error in Module:Infobox_regtemp at line 138: attempt to perform arithmetic on local 'generator_size' (a nil value). Dicot is an exotemperament that tempers out 25/24. It is also the first fully prototypical dicot temperament. It tempers out 6/5 and 5/4 into the same "neutral third" interval, which, when the fifth is tuned pure, is sqrt(3/2). It is useful to represent the structure of 5-limit harmonies without fully representing them in its greater accuracy.
It can be extended by tempering out 15/14 and 36/35 in the 7-limit, though in practice this turns the 3L 4s MOS into a 4L 3s MOS. This makes 7/6 and 9/7 equated to the neutral third, viewing 6:7:9 as a tertian chord. Another notable extension of dicot is decimal, which splits the octave in two for 7/5~10/7 by tempering out 50/49, and equates 7/6 and 8/7 to the tritone complement of 5/4~6/5, neutralizing the 6:7:8 chord as well. This represents the structure of 7-limit harmonies in a way that isn't based on tertian harmony and a heptatonic system, but rather a decatonic one. A more accurate system based on 10 interval classes that doesn't neutralize these chords is pajara. An even more accurate one is miracle, though its structure is more complex than that of pajara.
For technical data, see Dicot family #Dicot.
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