How did leitmotivs connect music to characters and events in Wagner's operas?

In Richard Wagner’s operas, leitmotifs—or "leading motives"—serve as recurring musical fragments that connect the audience to specific characters, emotions, and dramatic events. These themes function through two primary techniques: allusion and transformation.12

• Allusion: Wagner used leitmotifs to recall or suggest extramusical ideas, such as a specific character or a past event, providing psychological insight into the drama. The orchestra often introduces these themes to convey information that may be hidden from the characters themselves.13
• Transformation: Rather than remaining static, these themes are continually modified in rhythm, texture, and harmony to reflect the development of the characters or the changing nature of the plot. For example, a theme representing the joyful innocence of the Rhine maidens is transformed to signify the corrupting power of the gold once it is stolen by Alberich. Similarly, a horn call associated with Siegfried is rhythmically altered as he matures into a hero, eventually forming the basis for his funeral threnody.1

By weaving these themes into a continuous vocal-symphonic texture, Wagner created a unified musical structure that enriched the dramatic narrative far beyond traditional operatic forms.12