Dicot: Difference between revisions

{{Infobox regtemp

| Subgroups = 2.3.5, 2.3.5.11

| Comma basis = [[25/24]] (2.3.5);<br>[[25/24]], [[45/44]] (2.3.5.11)

| Edo join 1 = 7 | Edo join 2 = 10

| Generators = 6/5 | Generators tuning = 351.1 | Optimization method = CWE

| Odd limit 2 = 2.3.5.11 15 | Mistuning 2 = 35.3 | Complexity 2 = 7

{{About|the regular temperament|the ploidacot signature|Ploidacot/Dicot}}

'''Dicot''' is an [[exotemperament]] that [[tempering out|tempers out]] [[25/24]]. It is also the first fully prototypical [[ploidacot/Dicot|dicot]] temperament. It tempers [[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, with [[mos scale]]s [[3L 4s]] and [[7L 3s]].  

It can be extended by tempering out [[15/14]] and [[36/35]] in the [[7-limit]], called ''[[mujannabic]]'', though this could turn 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 is not based on tertian harmony and a heptatonic system, but rather a decatonic one.