[link to original on tumblr]
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"I Know She Will" starts with the phrase E C# A. The intervals are a sixth followed by a third. It arpeggiates an inverted A major chord (and the song is in A major).
I found a section on NBC's array of websites that says their chime has the notes G E C, so while the intervals are the same, the pitches are different. There's a video here (if you scroll down to 1929), but - inexplicably - those tones are C A F.