By the later chapters, the book introduces integer notation (C=0). Finding the normal form and prime form of a set like [8, e, 3] is algorithmic. An answer key is invaluable here—not to copy, but to check your transposition and inversion calculations.
McGraw-Hill’s Connect platform provides digital access to many of the assignments with auto-grading. If your course requires a Connect access code, you essentially have an interactive answer key that tells you why an answer is wrong. This is superior to a static PDF because it adapts to your mistakes.
Here’s a detailed conceptual answer guide for common exercise types in Music in Theory and Practice, Volume 2 (chapters typically cover chromatic harmony, late 18th-century forms, and 19th-century techniques).
Typical Exercise: Analyze a late Romantic chord. music in theory and practice volume 2 answer key pdf
Method:
Example:
“Chord in m. 24: D–F#–A–C–E. Root = D, quality = major 9th. Resolves to G major chord (V9–I in G major).” By the later chapters, the book introduces integer
In minor keys, the Neapolitan is a major chord built on the lowered second scale degree (e.g., Db-F-Ab in C minor). The answer key clarifies its typical first-inversion position and how it smoothly moves to the dominant. Without the key, many students mistakenly treat it like a standard borrowed chord, leading to bizarre chromatic slides.
Typical Exercise: Analyze the point of modulation in a short keyboard piece.
Answer structure:
Example answer (in text):
“Measures 5–6: The E♭ chord in m. 5 functions as IV in B♭ major and also as ♭VI in G minor. The cadence in m. 8 (D major chord → G minor) confirms modulation to G minor.”