I am speaking of the playing back of recordings only.
If a note is played on let us say a trombone and the slide is lengthened the pitch falls but there is no tempo as such it is a single note.
If this pitch is played within a piece of music then there are notes preceding and notes following the note in question.
Now we have tempo and pitch together.
If we record this music consisting of pitch and tempo and we speed up the playback of the recording then the pitch rises, they are locked together by the recording medium.
If we slow the playback the pitch falls, again they are locked together.
We can of course in a live performance slow the tempo while keeping the pitches correct, but the thread was only concerned with playing back on a computer, a recording of a performance and the pitch changed while the tempo of the recording was unchanged.
With a cd or a tape recording or a pressed LP, if you alter the tempo you alter the pitch.
Computers can however take a recording with a tempo and pitches and slow the tempo while keeping the pitch constant, or change the pitch without altering the tempo.
I therefore have said pitch and tempo in the real world are locked together but in the computer world they are not locked together.
Or do you perhaps know of a way of changing the speed of a gramaphone or of a tape machine without altering the pitches. I have never seen that I would be very interested in learning of it.