Originally Posted by: ddiddlerMoving down 2 and up 2 will give the same note an octave above[/quote]

Yes. To be precise, up in frets means towards the bridge, up in strings means towards the floor.

Up 2 frets & up 2 strings is the same note letter one octave higher.

Down 2 frets & down 2 strings is the same note letter one octave lower.

Originally Posted by: ddiddlerand if the fretboard allows moving down 1 and down 6 should give the exact same note.[/quote]

That's 5 not counting the note you start on.

[quote=ddiddler]discounting the usual adjustment on the B string

That's 4 frets again not counting the note you start on.

[quote=ddiddler]when doing the manual tuning using the 5th fret the notes should be exact not just something like

Yes, the exact same ptich. But keep in mind there will sometimes be differences in timbre, in the quality of the tone (open strings generally sound brighter compared to fretted string notes, wound strings sound darker, more bassy, the higher you fret them, unwound strings sound brighter, more trebley).

Best of success!