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Vogel advocating 171-tET

🔗Joe Monzo <monz@xxxx.xxxx>

11/10/1999 12:32:03 PM

I wrote [TD 387.22]

> And someone *please* give me some info on who it was
> who advocated 171-tET, and when.

Well, I found one advocate of 171-tET: Martin Vogel,
in his 1975 book, _Die Lehre von den Tonbeziehungen_,
p 470 ff. The info also appears in the English translation
of this book, _On the Relations of Tone_ (Bonn, 1993),
p 350-358.

I'll eventually update my webpage with this info.

Any others?

-monz

Joseph L. Monzo Philadelphia monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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🔗Paul H. Erlich <PErlich@Acadian-Asset.com>

1/6/2000 3:24:45 PM

On 11/10/99, Joe Monzo wrote,

>> And someone *please* give me some info on who it was
>> who advocated 171-tET, and when.

>Well, I found one advocate of 171-tET: Martin Vogel,
>in his 1975 book, _Die Lehre von den Tonbeziehungen_,
>p 470 ff. The info also appears in the English translation
>of this book, _On the Relations of Tone_ (Bonn, 1993),
>p 350-358.

>I'll eventually update my webpage with this info.

>Any others?

See Mandelbaum, pp. 222-223:

"171-tone temperament is Perrett's choice among the equal temperaments. He
is concerned with the partials through 7, and, indeed, for the 3rd, 5th, and
7th partials, this temperament is the first to approach "ideal" standards.
0.4 cents is the maximum deviation for any of the partials below 11, an
impressive attainment even for a temperament with as many tones as this.
With the 11th partial the system becaomes as useless as 12-tone temperament
for the same partial; the desired tone lies almost midway between two
members of the tempered system."

The date of the Perrett reference is 1926.