Ternary Continued Fractions are fractions that can be expanded by special eqns; known as Jacobian Ternary Continued Fractional Eqns. These eqns were developed by Jacobi bc he was very interested in the concept of the continued fraction. and using these eqns was how he attempted to solve the tuning problem. In music, we want our instruments, voices included, to be tuned 100% perfectly, however, in practice this is impossible, bc there will always be a fractional error; this is called the ‘Tuning Problem’. A way to fix the tuning problem is use Jacobian Ternary Continued Fractional Eqns