**Two-dimensional Tone Factory**

The Two-dimensional Tone Factory works to the specification:

where *f*ref is the reference frequency, and **a**,*b* and *c* are positive or negative integers. As before, the value of *a* has been "fixed" in order to keep the value of **f** between 1 and 2. We can map this space to two rather than three dimensions because the octave dimension has been disabled.

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