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: (TV)₁, that is, the first entry of TV.
• POTE = T/(TV)₁

resulting in

POTE = [600. 703.68088312]

Any idea? FloraC (talk) 09:14, 6 June 2020 (UTC)

OK everything's solved. It should be made more clear that TE generators and TE map are different. While TE gens change on basis, never does TE map. FloraC (talk) 05:55, 25 June 2020 (UTC)