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2026-03-29 17:25:49.1774805149

Studying musical Harmony I have the problem of summing sinus lines with angles in geometric progression

34 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At 29 Mar 2026 - 5:25 2026-03-29 17:35:49.1774805749

$$\sum_{i=0}^n\cos(\omega_0\cdot2^{i/12})$$ When we put successively $i=0,4,3$ we have a major chord. But what is an analytic expression for this limited sum?

trigonometric-series
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