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Meantones closing circles

🔗Charles Lucy <lucy@harmonics.com>

5/29/2006 5:45:30 PM

Thank you for the strict correction.
I am suitably scolded for my sloppy language.

Instead of forming a circle I should have stated that they will eventually arrive again at the starting position.
It may take a vast multitude of steps, yet eventually rational intervals will return to the starting point from which they will then repeat.

>> adjective?)
>
> It's obvious that any meantone with a tone as a rational fraction > of the
> octave will be an equal temperament. The n/d comma meantones don't > fit
> that pattern. Their tones are irrational and they never form a > circle.

>
>
> Graham
>
>
> ______________________________________________________________________> __
> ______________________________________________________________________> __

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🔗Keenan Pepper <keenanpepper@gmail.com>

5/29/2006 9:27:41 PM

On 5/29/06, Charles Lucy <lucy@harmonics.com> wrote:
> Thank you for the strict correction.
> I am suitably scolded for my sloppy language.
>
> Instead of forming a circle I should have stated that they will
> eventually arrive again at the starting position.
> It may take a vast multitude of steps, yet eventually rational
> intervals will return to the starting point from which they will then
> repeat.

And of course by "rational intervals" you mean intervals that are
rational parts of an octave, so they're actually irrational numbers?

Keenan