English translation: 2/7-comma meantone (Zarlino 1558)

hello all,

list-member Leonardo Perretti has translated
chapters 42 and 43 of part 2 of Zarlino's treatise
_istitutioni harmoniche_ (1558), which contain
the first mathematically precise description of
a temperament from the meantone family, that of
2/7-comma meantone.

http://sonic-arts.org/monzo/zarlino/1558/cap42-43.txt

Leonardo explained to me that Zarlino describes the
monochord measurements for this tuning a few chapters
before these two ... i'm hoping he can find the time
to translate that too.

in the meantime, thanks are due to him for making
this selection available to English readers for
the first time.

-monz

> From: "monz" <monz@attglobal.net>
> To: <tuning@yahoogroups.com>
> Sent: Sunday, March 09, 2003 1:14 AM
> Subject: [tuning] English translation: 2/7-comma meantone (Zarlino 1558)
>

> hello all,
>
>
>
> list-member Leonardo Perretti has translated
> chapters 42 and 43 of part 2 of Zarlino's treatise
> _istitutioni harmoniche_ (1558), which contain
> the first mathematically precise description of
> a temperament from the meantone family, that of
> 2/7-comma meantone.
>
> http://sonic-arts.org/monzo/zarlino/1558/cap42-43.txt

Leonardo has now also translated cap. 24 and 25 of
Zarlino 1558. in these chapters, Zarlino explains
how to use the mesolabium (a measuring instrument)
to make geometrical logarithmic equal divisions of
string-lengths, dividing the syntonic comma first
in half, then into 7 equal parts.

http://sonic-arts.org/monzo/zarlino/1558/cap24-25.txt

-monz

i've made a webpage of chapters 24, 25, 42, and 43
of Leonardo Perretti's English translation of
Zarlino's _le institutione harmoniche_ (1558),
complete with Zarlino's own illustrations and
some of my own.

http://sonic-arts.org/monzo/zarlino/1558/zarlino1558-2.htm

chapters 24 and 25 show simple geometrical methods
for making logarithmically equal divisions of
a string-length, and chapters 42 and 43 describe
the tempering of Zarlino's "syntonic diatonic"
monochord tuning according to 2/7-comma meantone.

-monz

--- In tuning@yahoogroups.com, "monz" <monz@a...> wrote:

/tuning/topicId_42770.html#42791

> Leonardo has now also translated cap. 24 and 25 of
> Zarlino 1558. in these chapters, Zarlino explains
> how to use the mesolabium (a measuring instrument)
> to make geometrical logarithmic equal divisions of
> string-lengths, dividing the syntonic comma first
> in half, then into 7 equal parts.
>
> http://sonic-arts.org/monzo/zarlino/1558/cap24-25.txt
>
>

***Why are none of these links working...?? Just curious... :)

J. Pehrson

--- In tuning@yahoogroups.com, "Joseph Pehrson" <jpehrson@r...> wrote:
> --- In tuning@yahoogroups.com, "monz" <monz@a...> wrote:
>
> /tuning/topicId_42770.html#42791
>
> > Leonardo has now also translated cap. 24 and 25 of
> > Zarlino 1558. in these chapters, Zarlino explains
> > how to use the mesolabium (a measuring instrument)
> > to make geometrical logarithmic equal divisions of
> > string-lengths, dividing the syntonic comma first
> > in half, then into 7 equal parts.
> >
> > http://sonic-arts.org/monzo/zarlino/1558/cap24-25.txt
> >
> >
>
> ***Why are none of these links working...?? Just curious... :)
>
> J. Pehrson

they were working a little while ago . . . monz is probably doing
some sprucing up and/or linking . . .

--- In tuning@yahoogroups.com, "wallyesterpaulrus"

/tuning/topicId_42770.html#42850

<wallyesterpaulrus@y...> wrote:
> --- In tuning@yahoogroups.com, "Joseph Pehrson" <jpehrson@r...>
wrote:
> > --- In tuning@yahoogroups.com, "monz" <monz@a...> wrote:
> >
> > /tuning/topicId_42770.html#42791
> >
> > > Leonardo has now also translated cap. 24 and 25 of
> > > Zarlino 1558. in these chapters, Zarlino explains
> > > how to use the mesolabium (a measuring instrument)
> > > to make geometrical logarithmic equal divisions of
> > > string-lengths, dividing the syntonic comma first
> > > in half, then into 7 equal parts.
> > >
> > > http://sonic-arts.org/monzo/zarlino/1558/cap24-25.txt
> > >
> > >
> >
> > ***Why are none of these links working...?? Just curious... :)
> >
> > J. Pehrson
>
> they were working a little while ago . . . monz is probably doing
> some sprucing up and/or linking . . .

***I see he now has a "big webpage" on all of this that looks
intriguing...

JP