Most pipers are unaware that their pipes are built for A mixolydian. Most (not all) would be baffled by the notion. They have 9 notes they can play from G to A (leaving aside partial-hole tricks), arrayed approximately in what we think of as D major (hence the A mixolydian). Thus, there's no need for a key signature, as there are no chromatic alterations to fuss with.
When reading notation straight out of an old piper's tutorial, then, it's necessary to superimpose an imaginary F# and C# onto the staff in order to get the notes to sound approximately right.
The low G and the high G are not tuned in a straight octave. The low G is a proper whole step below the low A. But the high G, depending on the chanter, hovers somewhere between G natural and G#, leaning more toward the G natural. The standard for the pitch of the upper G has changed, and so a chanter from before, say 1960, will have a different upper G than a chanter built after. And pipe bands generally get all their pipes built by the same builder, as the scale on chanters differs from builder to builder, as does the frequency chosen for the A.
If there's any mandolin wisdom to this, I suppose it would be that the bottom G on our mandolins can be left as it is, but there could be a bit of bending or ornamentation that raises the upper G a bit.
If you ever decide to try playing along with a pipe recording, you'll need to get software to lower the pitch. Standard pitch has been rising for centuries, and for most of us (pianos, orchestras, guitars, mandolins), we stopped at A440, but the frequency for A on bagpipes goes up and up, and the base frequency for A now hovers near to what we think of as Bb (as already mentioned).
It's an arms race, actually. Pipe bands keep raising the base frequency in order to sound louder at piping contests, and the more radical among these are basing their A at the frequency of B natural. That's not an arbitrary choice made at performance time... the builder has to build the pipes to be in tune at the chosen frequency... you can change the base pitch on a set of pipes, but drift too far from the frequency they're built for, and the whole scale gets out of whack.
Probably more information than necessary. We may have settled on equal-tempered tuning based on A440 for everything we do, but tuning is still a medieval art on the bagpipes
As regards tuning, we may think we're cursed with an instrument that's impossible to play in tune (there are only three mandonlins in the world that are in tune, and David Grisman has two of them), but bagpipes are, by definition, ALWAYS out of tune.
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