Fw: 3d. tone and golden ratios

> Hi, colleagues:
>
> I have just been listening to a tape I made of the National Public
> Radio *Pipedreams* program on pipe organs --- specifically a composition
by
> Freinzberg "Suite on the Third Tone". It is played on what sounds to me
> like a mean-tone temperament on organ. But what is meant by the "third
> tone"? Does it mean the key of E? I notice that some of the chords are
> very consonants while others are noticeably dissonant.
>
> Also, in a conversation tonight with a mathematician, there came up
> the question of whether any tunings have been conceived in terms of the
> "golden ratio" (so effectively applied to architectural & visual
> productions, as well as observed so often in natural objects) in terms of
> musical intervals. I myself could think of none --- but perhaps I am
> missing something.
>
> Cheers! Peter
>
>

Thirdtones are very large leading tones. Meantone leading tones are larger,
but at 66.6 cents, thirdtones are larger still. In the Mordecai Sandberg
"Psalm #51" which we are premiering on Oct. 11th hasthirdtones. Recently,
soprano Dorien Verheijden and I rehearsed in a park in Amsterdam. The
thirdtones set very distinctly in my mind's ear, both above and below any
given note. We practiced straight thirdtone scales so as to get a feel for
the interval.

Re: Haba - well, Monzo, your flawless memory strikes again. Yes, I've a
problem with Haba's music. It just doesn't send me. Oh, I like the overture
to "The Mother" opera, and I enjoyed playing a translation of a 5-part choral
piece for 5 bassoons over a decade ago. But I prefer non-athematicism. I
believe the microtonal world benefitted by Alois Haba, but his music is not
especially to my taste (other than the aforementioned pieces).

Johnny Reinhard

Peter!
There has been quite a few including Kornerup and Yasser's 5+7. 7+12
series implies a golden fifth. Erv Wilson likes to refer people to an article
by Lorne Temes found at the bottom of the http://www.anaphoria.com/tres.html
sorry for the download time

weekswyl wrote:

> Hi, colleagues:
>
>
>
> Also, in a conversation tonight with a mathematician, there came up
> the question of whether any tunings have been conceived in terms of the
> "golden ratio" (so effectively applied to architectural & visual
> productions, as well as observed so often in natural objects) in terms of
> musical intervals. I myself could think of none --- but perhaps I am
> missing something.
>
> Cheers! Peter
>

-- Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com

On Sat, 11 Sep 1999, weekswyl wrote:

> > I have just been listening to a tape I made of the National Public
> > Radio *Pipedreams* program on pipe organs --- specifically a composition
> by
> > Freinzberg "Suite on the Third Tone". It is played on what sounds to me
> > like a mean-tone temperament on organ. But what is meant by the "third
> > tone"? Does it mean the key of E? I notice that some of the chords are
> > very consonants while others are noticeably dissonant.

The third tone is the third ecclesiastical mode, Phrygian authentic --
white notes for one octave up from e, final e, dominant c.

Judy

Johnny Reinhard wrote,

>Thirdtones are very large leading tones. Meantone leading tones are
larger,
>but at 66.6 cents, thirdtones are larger still.

I'm not sure what you meant, but meantone leading tones are ~117 cents.