Talk:POTE tuning
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"Find POTE = T/T[1]"
It doesn't seem to handle the case where the period is a fraction of an octave. For example, try this diaschismic mapping: [⟨2, 2, 7, 15], ⟨0, 1, -2, -8]]. We know the period is half an octave. Indeed,
T = [599.44659699 703.03185125]
Now POTE = T/T[1] gives
POTE = [1200. 1407.36176623]
Is this correct?
Besides, since I don't see a definition of TE generator, I don't know if it should be octave reduced, period reduced or left as is. Changing the basis definitely changes the result. Does TE generators specify a basis or whatever maps are accepted?
From my perspective, this seems more intuitive:
- Find the TE octave: o = (T*V)1, that is, the first entry of T*V.
- POTE = T/o
resulting in
POTE = [600. 703.68088312]