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The term is derived from Italian segue, "it follows"; the pronunciation in English differs from the original Italian pronunciation.
In music 
For written music it implies a transition from one section to the next without any break. In improvisation, it is often used for transitions created as a part of the performance, leading from one section to another.
In live performance, a segue can occur during a jam session, where the improvisation of the end of one song progresses into a new song. Segues can even occur between groups of musicians during live performance. For example, as one band finishes its set, members of the following act replace members of the first band one by one, until a complete band swap occurs.
In recorded music, a segue is a seamless transition between one song and another. The effect is often achieved through beatmatching, especially on dance and disco recordings, or through arrangements that create the effect of a musical suite, a classical style also used in many progressive rock recordings.
Some album notations distinguish track listings through the use of symbols, such as a >, →, or / to indicate songs that flow seamlessly.
In film or broadcast news production 
In audio/visual media, a segue is smooth transition from one scene or topic to another. A segue allows the director or show host to naturally proceed from one scene or topic to another without jarring the audience. A good segue makes the transition look natural and effortless.
See also 
- Derailment (thought disorder)
- Gapless playback
- Harmonic mixing
- Interstitial program
- Match cut
- Segway PT