der Mitschnitt
recording
An audio or video recording of a live event, a broadcast, or a conversation.
Der Mitschnitt des Konzerts wird nächste Woche im Radio gesendet.
The recording of the concert will be broadcast on the radio next week.

recording
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recording
An audio or video recording of a live event, a broadcast, or a conversation.
Der Mitschnitt des Konzerts wird nächste Woche im Radio gesendet.
The recording of the concert will be broadcast on the radio next week.

The word is made up of 'mit' (with/along) and 'Schnitt' (cut/edit, from 'schneiden' (to cut)). It describes a recording that runs along while an event is taking place—you are, so to speak, 'recording along' with it.
Der Sender hat einen Mitschnitt der Diskussion angefertigt.
The broadcaster made a recording of the discussion.
Common verbs used with 'Mitschnitt' (recording) are 'einen Mitschnitt machen' (to make a recording) or 'anfertigen' (to produce/make), as well as 'sich einen Mitschnitt ansehen' (to watch a recording, for video) or 'anhören' (to listen to one, for audio).
Kannst du mir den Mitschnitt der Vorlesung schicken?
Can you send me the recording of the lecture?
'Mitschnitt' (recording) is often combined with the medium or the type of event. Typical examples are 'Konzertmitschnitt' (concert recording), 'Radiomitschnitt' (radio recording), or 'Telefonmitschnitt' (telephone recording).
Die Polizei wertete den Telefonmitschnitt als Beweismittel aus.
The police evaluated the telephone recording as evidence.
recording / admission / uptake
'die Aufnahme' and 'der Mitschnitt' can both mean a stored audio or video recording. 'Aufnahme' is the more general term and fits many situations, for example music, video, speech, or data. 'Mitschnitt' is used especially when something was recorded live, for example a concert, a broadcast, or a conversation. The words can be confused because a 'Mitschnitt' is also an 'Aufnahme'. But not every 'Aufnahme' is a 'Mitschnitt': a planned studio session is more likely an 'Aufnahme', while a live-recorded event is more likely a 'Mitschnitt'.

Heute Abend sendet der Radiosender einen Mitschnitt vom Konzert.
Tonight, the radio station is broadcasting a recording of the concert.
Im Studio hört die Sängerin die Aufnahme noch einmal an.
In the studio, the singer listens to the recording once more.