Analyze the harmonic structure of a given jazz composition, identifying and explaining key chord functions, voice leading, and modulations.

Analyzing the harmonic structure of a jazz composition involves understanding the function of each chord within the context of the key, examining how the voices move between chords (voice leading), and identifying any modulations (shifts in key). This process involves both a vertical understanding (the chords themselves) and a horizontal understanding (how they move in relation to each other). Let's take a simplified analysis of a common jazz standard, "Fly Me to the Moon," which is frequently played in the key of C major, as an example to explain how to identify these key musical elements. The song uses a common 32-bar AABA form. In the A section, the opening progression is a classic example of a ii-V-I in C major: Dm7 - G7 - CMaj7. Here, Dm7 functions as the ii chord (subdominant), G7 is the V chord (dominant), and CMaj7 is the I chord (tonic). This progression is the core of tonal music. The Dm7 provides a subtle departure from the tonic C and establishes the dominant as a pull towards the tonic. The G7 is the dominant chord that strongly resolves to the tonic CMaj7, creating a sense of resolution. The following chords will usually move to Am7, then D7 resolving to G7, and then back to the tonic CMaj7. These chord changes create a smooth, balanced and familiar sound, based on....