>> I think for these purposes all church modes are equivalent.
>> the different minor scales are truly different.
>
> Don't some church modes have an optional flat?

that's the concern of musica ficta, no need to handle it here.

>>> For pentatonic scales there are even more in common use,
>>> I believe. Even the five black-key scales are all distinct.
>>
>> but are equivalent, just as the church modes are equivalent
>> for diatonic transpositions and mirroring.
>
> Of course, you're right about the black-key scales, which
> is the pentatonic scale I've used.  But they can still be
> defined with different note names.  Which would we choose?

a c d e g (since it's symmetric; for the same reason my choice
for diatonic scale is a b c d e f g).

p

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