Extending further into 2 dimentions creates some interesting possibilities. I have become a big fan of the wicki-hayden isomorphic layout (hex grid). It ends up

Extending further into 2 dimentions creates some interesting possibilities. I have become a big fan of the wicki-hayden isomorphic layout (hex grid). It ends up grouping western scales into vertical bands. Moving horizontally changes by two semitones, moving another direction changes the note by fifths. I built a keyboard with this layout because it's such a convenient way to conceptualize arrangement of notes, but there are certainly tradeoffs when it comes to actually playing. You end up with duplicate notes, so you can play in unison with yourself like on most string instruments. The isomorphic nature of it is one of the strongest points: you only need to train your muscle memory once for each chord (major, minor, etc), and you can use that exact shape anywhere on the keyboard. Its good for jamming and discovery, but i cant imagine being able to play as many notes/second as a normal piano. See figure 11: http://rainboard.shiverware.com/images/0/08/Isomorphic_Tessellations_For_Musical_Keyboards.pdf http://rainboard.shiverware.com/images/0/08/Isomorphic_Tesse...