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is this correct?? [Gardner Read]

🔗Joseph Pehrson <jpehrson@rcn.com>

10/23/2002 11:40:10 AM

From Gardner Read's _20th Century Microtonal Notation_ page 113:

"A mean-tone fifth is one-fourth of a syntonic comma (21.5c) smaller
than a well-tempered fifth (697c to 702c, a difference of 5c)."

Isn't 702c a "just" or "Pythagorean" fifth?? Is it considered
a "well-tempered" fifth as well??

Help!

Thanks!

Joseph P.

🔗wallyesterpaulrus <wallyesterpaulrus@yahoo.com>

10/23/2002 11:57:11 AM

--- In tuning@y..., "Joseph Pehrson" <jpehrson@r...> wrote:
> From Gardner Read's _20th Century Microtonal Notation_ page 113:
>
> "A mean-tone fifth is one-fourth of a syntonic comma (21.5c)
smaller
> than a well-tempered fifth (697c to 702c, a difference of 5c)."
>
> Isn't 702c a "just" or "Pythagorean" fifth??

yes.

> Is it considered
> a "well-tempered" fifth as well??

it can occur in well-temperaments, but these well-temperaments would
need to have other, smaller fifths as well -- since the circle needs
to close after 12 fifths, the *average* size of fifth in a well-
temperament equals 700 cents.

🔗Joseph Pehrson <jpehrson@rcn.com>

10/23/2002 12:08:20 PM

--- In tuning@y..., "wallyesterpaulrus" <wallyesterpaulrus@y...>

/tuning/topicId_39934.html#39936

wrote:
> --- In tuning@y..., "Joseph Pehrson" <jpehrson@r...> wrote:
> > From Gardner Read's _20th Century Microtonal Notation_ page 113:
> >
> > "A mean-tone fifth is one-fourth of a syntonic comma (21.5c)
> smaller
> > than a well-tempered fifth (697c to 702c, a difference of 5c)."
> >
> > Isn't 702c a "just" or "Pythagorean" fifth??
>
> yes.
>
> > Is it considered
> > a "well-tempered" fifth as well??
>
> it can occur in well-temperaments, but these well-temperaments
would
> need to have other, smaller fifths as well -- since the circle
needs
> to close after 12 fifths, the *average* size of fifth in a well-
> temperament equals 700 cents.

***That's exactly what I thought... so that sentence is pretty
ambiguous... Oh well, the book is quite good in other ways, though...

JP