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Why does add11 remove the fifth

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@Vaz123 wrote:

In hookpad a triad with add11 (e.g. C(add11)) will be voiced with a root in the bass and a root, third and 11 in the harmony (so in the case of C(add11) there’ll be a C in the bass and a C, E and F in the harmony). However what kind of confuses me is why the fifth is omitted so can someone explain

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