2edo

If one attempts to use 2edo as an actual scale, it would divide the octave into two equal parts, each of size 600 cents, which is to say sqrt(2) as a frequency ratio. It represents the 3-limit consistently, and it can be used to give a skeletonized version of the 3-limit music such as was used in Medieval Europe, by mapping the fifth and therefore the fourth to 600 cents. That entails mapping 81/64 to the unison, and if we do the same for 5/4 we end up with the val <2 3 4| (2c mapping). This could be used to crush all of the 5 out of 5-limit music, and to then attempt to turn what remains into neo-Medieval harmony. The harmony that is found in 2edo can be said to revolve around Tonic-Antitonic contrast, with the note at 600 cents away from the Tonic having a function akin to 12edo's diminished fifth.

If we want to consider it to be a temperament, it tempers out 9/8.

Factoids about 2EDO

99/70 is a good rational representation of the square root of 2. It is the first zeta integral edo.

Compositions

Dichotomy by Kaiveran Lugheidh