A recording of an unusual fifthless temperament

Hi again.

Not sure how valuable this may be. But this 2D temperament looks capable of approximating many recognizable factors with a scale of no more than 9 tones -- I used 12 tones to make more transpositions possible. If I then add the overdriving effect to the whole thing, it becomes even more powerful.

So, the period is 400 cents, the generator is ~182.458 cents.

http://dl.dropbox.com/u/8497979/pp_partial_7limit_4.ogg

Petr

--- In tuning@yahoogroups.com, Petr Pařízek <petrparizek2000@...> wrote:
>
> Hi again.
>
> Not sure how valuable this may be. But this 2D temperament looks capable of
> approximating many recognizable factors with a scale of no more than 9
> tones -- I used 12 tones to make more transpositions possible. If I then add
> the overdriving effect to the whole thing, it becomes even more powerful.

I'm not seeing the "many". Adding 400 cents to your generator gives a very close approximation to 7/5, and this looks like the 138&171 temperament, with a 7/5 generator. Pretty complex, except for that 7/5.

Gene wrote:

> Adding 400 cents to your generator gives a very close approximation to > 7/5, and this looks like the 138&171
> temperament, with a 7/5 generator. Pretty complex, except for that 7/5.

Okay, so we have close approximations to 10/9 and 7/5, and the 250047/250000 is tempered out.

Another possible approximation, albeit not that good, is 17/15. This makes it possible to approximate chords like 15:17:21:27. How meaningful such a temperament is (if it doesn't include a single fifth) is a matter of discussion.

Petr

--- In tuning@yahoogroups.com, Petr Parízek <petrparizek2000@...> wrote:
>
> Gene wrote:
>
> > Adding 400 cents to your generator gives a very close approximation to
> > 7/5, and this looks like the 138&171
> > temperament, with a 7/5 generator. Pretty complex, except for that 7/5.
>
> Okay, so we have close approximations to 10/9 and 7/5, and the 250047/250000
> is tempered out.

This sounds exactly like "terrain" to me.

http://xenharmonic.wikispaces.com/Chromatic+pairs#Terrain

Keenan

To Keenan Pepper

Keenan,

I am going around the end with the progression. By the way, if you already have the book, about R and Ro groups of cells: UU positions in R groups are correct, they are not in Ro , here the pair UU should be placed like in R groups.

I will send you information.

Mario

<<<<<<<<<<<<<<<<<<<<<<<<<
.
----- Original Message ----- From: "Keenan Pepper" <keenanpepper@...>
To: <tuning@yahoogroups.com>
Sent: Sunday, April 22, 2012 12:24 PM
Subject: [tuning] Re: A recording of an unusual fifthless temperament

--- In tuning@yahoogroups.com, Petr Par�zek <petrparizek2000@...> wrote:
>
> Gene wrote:
>
> > Adding 400 cents to your generator gives a very close approximation to
> > 7/5, and this looks like the 138&171
> > temperament, with a 7/5 generator. Pretty complex, except for that 7/5.
>
> Okay, so we have close approximations to 10/9 and 7/5, and the > 250047/250000
> is tempered out.

This sounds exactly like "terrain" to me.

http://xenharmonic.wikispaces.com/Chromatic+pairs#Terrain

Keenan

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