I have encountered some disagreement on the scope of
accidentals. This is how I have it:

   An accidental applies only to the line or interstice on which
   it appears, and is implied for following notes in the same
   measure, or for the first note of the next measure if tied,
   unless cancelled.

I have heard arguments for two deviations:

1. The accidental also applies to notes on the same stave
that are an octave away.
2. The accidental must always be explicitly cancelled if the
next note of the following bar is at the same height, even if
not tied.
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