Gamma Chameleon Notation

This is my first attempt at solving the notation problem playing with Carlos Gamma tuning system and Opal Chameleon isomorphic keyboard.

The idea is to use the usual staff, treble and bass clefs, note symbols and note names assigning them different meanings.

The framework interval of Carlos Gamma tuning system is 3:2.
I propose calling it “diapente”, the Greek name for this interval (I already discarded other names like “quintave” or “pentave” ) but if others have suggestions let me know.

Carlos Gamma divides a diapente into 20 equal steps. I propose to use note names A, B, C, D, E, F and G so that a diapente starts and ends with the same note name. Each note name describes three steps using accidentals (flat, natural and sharp) except A (no Ab). So there are 6 (notes) X 3 (accidentals) =18 + 2 (A and A#) = 20 steps.

The Chameleon is divided into 3 zones, 64 keys each. When tuned to Carlos Gamma, each zone spans 3 diapentes (60 keys) and 4 notes.


I propose to call A the lowest note of a zone and go up from there. The position of notes on the staff is that of usual treble and bass clefs.

Gamma Chameleon Notation 1a

Gamma Chameleon Notation 1b

Gamma Chameleon Notation 1c

Gamma Chameleon Notation 1d

A 3 staff system can be used for the 3 zones of Chameleon.


Note transposition will not affect note placement on the staff, so, if necessary, it will be part of auxiliary informations to the score.

Does this system make sense? I will find out. I am already experimenting but I guess it only applies to isomorphic keyboards.

This is only a graphical system. As far as I know there is no sequencer able to assign different midi meaning to enharmonic notes like A# and Bb (and with this system they are 35.1 cents apart).