Counterpoint
Fugue Subjects and Answers
A fugue's opening notes commit the piece to more than a tune. The subject's shape and the answer's adjustment decide what can happen next.
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Counterpoint
A fugue's opening notes commit the piece to more than a tune. The subject's shape and the answer's adjustment decide what can happen next.
Counterpoint
Imitation makes one idea serve two lines. Invertible counterpoint makes those lines interchangeable, and the arithmetic behind it is small enough to check.
Form
How variation form works: the fixed theme, ornamental and character variations, and strategies from Haydn to Beethoven.
Counterpoint
Strict and free canon, interval and time distance, inversion and crab canons: how canons work and how to write a singable one.
Tuning & Temperament
Quarter-comma meantone, the wolf fifth and the well temperaments in between: what keyboard tuning did to each key before equal temperament settled the argument.
Music History
Chromatic harmony widened a key without leaving it: the resources that do the work, the Tristan chord, and how to analyse it without over-labelling.
Orchestration
The quartet is four registers, not four violins. What each instrument can sustain, where the texture muddies, and which double stops lie under the hand.