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On the Wikipedia page for Minor scale is this diagram of the harmonic minor scale starting at A:

A minor

Why is there a natural sign on the F? I thought the natural sign was only used when the note had been previously sharpened or flattened either via an accidental or as part of the key signature.

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    Unrelated to your specific question, but that augmented III chord is pretty rare in common practice tonal music. Raising the leading tone for V and viio is very common, but not on III. – Pat Muchmore Sep 23 '14 at 2:23
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Just to be cautious in case someone is misled by the sharp on the G to think the F should be sharp, and also to be sure it is not confused with the melodic minor, which has an F# on the way up.

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There is probably a natural sign given to the F to further emphasize that this is a harmonic minor scale instead of a melodic minor scale. The image from Matt's question is from a wiki page. In common musical notation, an F normally won't be labelled in the key of A minor.

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If that F natural is so important to not be confused with F#, which would appear in melodic minor, why hasn't it been notated into the top line, second and fourth chords?

It's not necessary, but someone's being helpful - just like in a lot of music, where an accidental is put in a bar, then it's cancelled, i.e. with a natural in the next bar - the barline doing that automatically, anyway.

The letter name underneath is a good clue, too...

  • The sixth scale degree is generally only raised in melodic minor when it's part of an ascending melodic line. In writing out the chords, it might have been better to double the root note up an octave to establish the chord root as the "melodic" line; otherwise the melodic line in the top staff might be read as E-F-G#-A-B-C-D-E. – supercat Sep 23 '14 at 13:44
  • @supercat - in jazz, melodic minor is often with raised 6 and 7 in both directions – Tim Sep 23 '14 at 14:27
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I would say that this distinction is made to separate it from the Melodic Minor scale. In the other chords with an F, it being natural is spelled out in the chord symbol (B dim would have an F by definition, same with the D minor). For the F chord, the chord symbol would not necessarily provide the distinction. I think that it was entirely unnecessary to add the natural to the chart unless it was being directly compared to the melodic minor scale but I'm sure at least one person found the distinction brought clarity to their understanding. When I make this type of distinction I refer to the chord as bVI.

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