Question about scales

Chords, scales, harmony, melody, etc.
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The C major scale contains the notes A, B, C, D, E, F and G. In any order. The C ionian mode contains C, D, E, F, G, A, B in that order.
A, B, C, D, E, F, G do not make the C ionian mode re-arranged. They make the A aolian mode.
Modes have a specific tonic.
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But if that were true then what you are suggesting is that the A minor scale is the same as the C major scale and this is not true (at least not by any definition I've ever heard)
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The A natural minor scale is the same as the C major scale.

Honest. I'm not making this stuff up to win an argument. At the moment this nit-picking about definitions is probably confirming all the bad things that the sceptics believe about theory. So I'm going to stop now, because It doesn't matter what you call a group of notes. It only matters that you know how to use that group of notes.
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Sure enough.

I just don't know that I would say that the only difference between "A minor" and "C major" is the mode being used.

Terminology aside, though, I think the point has gotten across.
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