The purpose of this article is to examine certain aspects of theory which concert practical musical composition in 31-E.T. (or extended meantone). The principles which are put forth may also be used to advantage with other equal divisions, including 12-E.T., 19-E.T., and so on. This article was meant to compliment the other articles which I have written on meantone theory. Those articles are: TOWARD A THEORY OF MEANTONE HARMONY, THE MEANTONE SERIES OF CYCLICAL TEMPERAMENTS, THE MATRIX MODEL OF MUSICAL HARMONY, and THE EXTENDED MEANTONE STYLE OF GESUALDO. These articles form a unified approach with no (I hope!) internal contradictions.
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