Constant group delay for all
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0
2 pi
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Any phase shift, that is proportional to wavelength and same across all doesn't seem to make difference to sound, or if phase shift is multiple of fundamental like 2pi. If phase shift differs between the sines, then the waveform changes, like some constant group delay without relation to m or to fundamental. Try 1, or 2 for example.
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Other fun stuff to play with: set amplitudes of harmonics to 0, except for 3rd, and use phase shift of pi to expand, or two pi to compress, looks good! Until other harmonics are introduced back ;)
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Harmonics
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Plot
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Misc info
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