Harmony Historic Points And Modern Methods of Instruction

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S way to A, via B, the accidental formation is C E sharp G sharp B. Cancel the accidentals, and we discover the original seventh-ac- COrCl, CEGB • C 31 ] The altered accords are more limited in their progressions than their derivatives, and the only semblance of a rule that can be given for the progression of these chromatically altered notes is to follow their natural tendency, — the sharps tending degree-wise up- ward and the flats degree-wise downward, — provided always that the correspondin...g voices in the derivative chord could make the same progressions. In conclusion, I would say that I am conscious of having com© far short of the ideal paper I imagined I would write when the title was formulated. I have not expressed, as I intended to, any thing of my appreciation and admiration of very much of the work done in the host of text books which I have examined. In these re- searches I have been extremely gratified at the growing concise- ness and. Accuracy in definitions, and the simplicity of the methods employed, especially in later works.

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