Re: [tuning] Digest Number 6098-harmonic Entropy

Max: Erv Wilson did something similar with a number of different triads with irrational pitch relations and used this approach to explain why the major triads of Lucy Tuning sound as good as they do. The details, which I don't recall at this moment, may be on the Anaphoria site.

--John

The results of Erv's study can be found here;

http://www.lucytune.com/tuning/mean_tone.html

As John Chalmers suggests, he details could be in the Wilson Archives:

http://anaphoria.com/wilson.html

where Kraig has scanned lotsa fascinating Wilson papers.

If not, somewhere, I have the original letters which Erv sent me about twelve years ago (if I can find them;-).

On 12 Mar 2009, at 20:03, John H. Chalmers wrote:

> Max: Erv Wilson did something similar with a number of different > triads
> with irrational pitch relations and used this approach to explain why
> the major triads of Lucy Tuning sound as good as they do. The details,
> which I don't recall at this moment, may be on the Anaphoria site.
>
> --John
>
Charles Lucy
lucy@...

- Promoting global harmony through LucyTuning -

for information on LucyTuning go to:
http://www.lucytune.com

For LucyTuned Lullabies go to:
http://www.lullabies.co.uk

--- In tuning@yahoogroups.com, Charles Lucy <lucy@...> wrote:
>
> The results of Erv's study can be found here;
>
> http://www.lucytune.com/tuning/mean_tone.html
>
>
> As John Chalmers suggests, he details could be in the Wilson Archives:
>
> http://anaphoria.com/wilson.html
>
> where Kraig has scanned lotsa fascinating Wilson papers.
>
> If not, somewhere, I have the original letters which Erv sent me about
> twelve years ago (if I can find them;-).
>

Thanks a lot for all suggestions. However, I am afraid not being able to find clear hints within. On lucytune.com I only see that Phi was used to define the ratio between L (a large tone) and s (a semitone), but I am not able to find out results from Wilson about the topic at hand (= special properties of Phi or other irrationals providing peculiar results if applied to musical tuning). Wilson work available on Anaphoria is so vaste that I am not even sure to look into the right papers (by the way, if Wilson had found explanations on why Lucy meantone tuning can give particularly good results, it would be good to explain that on lucytune.com - as for me, I have not yet understood why is that). Anyway, concerning Phi and other irrationals used to obtain alternate temperaments, can you point out a particular paper from Wilson to look at in Anaphoria.com?

Many thanks,

Max

I have found the Erv Wilson letter from 1994, with notes, and calculations.
There are four pages which I have scanned and put as a pdf into this folder:

http://www.lucytune.com/ErvWilson/

The reason that I sent you to the meantone page was because it lists the values for the meta tuning on that page.

On 15 Mar 2009, at 10:24, massimilianolabardi wrote:

> --- In tuning@yahoogroups.com, Charles Lucy <lucy@...> wrote:
> >
> > The results of Erv's study can be found here;
> >
> > http://www.lucytune.com/tuning/mean_tone.html
> >
> >
> > As John Chalmers suggests, he details could be in the Wilson > Archives:
> >
> > http://anaphoria.com/wilson.html
> >
> > where Kraig has scanned lotsa fascinating Wilson papers.
> >
> > If not, somewhere, I have the original letters which Erv sent me > about
> > twelve years ago (if I can find them;-).
> >
>
> Thanks a lot for all suggestions. However, I am afraid not being > able to find clear hints within. On lucytune.com I only see that Phi > was used to define the ratio between L (a large tone) and s (a > semitone), but I am not able to find out results from Wilson about > the topic at hand (= special properties of Phi or other irrationals > providing peculiar results if applied to musical tuning). Wilson > work available on Anaphoria is so vaste that I am not even sure to > look into the right papers (by the way, if Wilson had found > explanations on why Lucy meantone tuning can give particularly good > results, it would be good to explain that on lucytune.com - as for > me, I have not yet understood why is that). Anyway, concerning Phi > and other irrationals used to obtain alternate temperaments, can you > point out a particular paper from Wilson to look at in Anaphoria.com?
>
> Many thanks,
>
> Max
>
>
>
Charles Lucy
lucy@...

- Promoting global harmony through LucyTuning -

for information on LucyTuning go to:
http://www.lucytune.com

For LucyTuned Lullabies go to:
http://www.lullabies.co.uk

see the scales of Mt Meru in the Wilson Archive.
especially page 29 of anaphoria.com/meruthree.pdf
for illustration of proportional triads