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Music notation: how do you know WHEN to use WHAT accidentals (flats, sharps, naturals)?


In reference to this: http://hubpages.com/question/61634/can-you-name-the-notes-in-the-diminished-7th-chord-in-its-2nd-inversion-in-the-key-of-gb-major I'd just like to know why the double flats are needed. I never "got" this part of music theory, so if you could enhance my understanding about this I'd appreciate it. (I know that it's dictated by the key signature, but I still don't quite get how to determine which accidental is appropriate.) Are there any web resources that will be helpful?

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