A picture is worth a thousand words, and this collection of diagrams is largely self-explanatory. However, a brief introduction to the conceptual framework is in order.
The matrix is an integrated model for the description of cyclical temperaments, that is, temperaments which can be expressed by one or more circle of fifths. As such, they are equal temperaments, using some step interval as a basic building block. Of course, the most familiar of such temperaments is 12-E.T. But a host of others exist, which need to be evaluated according to their interval structure and musical worth.
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