How do oscillators, mixers, filters, and amplifiers shape synthesized sounds?

In the context of electronic music, a music synthesizer functions as a collection of modular components that a musician configures to design specific timbres and responses. These components shape sound through the following roles:

• Oscillators: These serve as the primary sound source by generating repetitive electronic waveforms, which form the foundation of the synthesized tone.1
• Mixers: These components are used to combine multiple waveforms together, allowing the musician to blend different signals into a single output.1
• Filters: These modify the harmonic content of the sound by increasing the strength of certain overtones while reducing the strength of others, which is essential for techniques like subtractive synthesis.21
• Amplifiers: These are used to shape the loudness contours of the sound, controlling how the intensity of the tone evolves over time.21

By "patching" or programming these elements, a synthesist can create sounds that range from imitations of traditional acoustic instruments to entirely novel, original textures.1