Some years ago I tried to make a "stretched partials" sawtooth this way
and found that the tables get prohibitively large
since you are restricted to common devisors or integer multiples for the "spin cycles"
and phase steps of the partials.

The second lowest partial needs to make at least one spin cycle, and
all higher partials need to make an integer multiple of that
which also makes their detuning relationships unnatural compared to
for instance a piano tone.

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