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Is there any well-known melody that only contains the notes C, G, D and A? I'm learning to play the cello, so far practicing only playing on open strings and would love to be able to play a melody.

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    It's not just the note names, it's the octave in which they are, So your tune won't sound too good, as the notes are spread out. – Tim Dec 20 '18 at 16:55
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Not really. The only thing similar to using only those open strings - that I can think of - is a tune based on only the interval of a fifth - any two adjacent strings on the cello, but try the G and D - which is the "Winkie Chant" of the flying monkeys from the Wizard of Oz. I couldn't find any music notation so this description must suffice...

enter image description here

...the tonic (first) could be the G and the dominant (fifth) would then be the D.

Title   Over the Rainbow: The Wizard of Oz as a Secular Myth of America
Author  Paul Nathanson
Publisher   SUNY Press, 1991
ISBN    0791407098, 9780791407097

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