Adaptive JI for highly mistuned temperaments

Hi tuners.

I've made a MIDI file of a chord progression leading to a 3125/2916 comma pump (if such a large interval may be called a comma) played in adaptive JI -- i.e. each consecutive chord is played 1/6-comma lower than in strict JI because the progression is made of six chords.

Then I've made a recording of the same progression tuned to the 3125/2916 temperament (i.e. the 11th root of 128/15 is the generator) and played by myself in real time.

You can find both the MIDI file and the audio recording at the top of this list: /tuning/files/PetrParizek

Maybe this is one possible way to reveal some "peculiarities" of these strongly tempered tunings. In the tempered version, the 25/24 approximation sounds very narrow to me and the minor thirds are getting pretty out of tune. Maybe something like mavila in adaptive JI might also find some use, who knows?

Petr

--- In tuning@yahoogroups.com, Petr Paøízek <p.parizek@...> wrote:
>
> Hi tuners.
>
> I've made a MIDI file of a chord progression leading to a
> 3125/2916 comma pump (if such a large interval may be called
> a comma) played in adaptive JI -- i.e. each consecutive chord
> is played 1/6-comma lower than in strict JI because the
> progression is made of six chords.
>
> Then I've made a recording of the same progression tuned to
> the 3125/2916 temperament (i.e. the 11th root of 128/15 is
> the generator) and played by myself in real time.

I prefer the tempered version. Is the same temperament being
used to tune the root of each chord in the adaptive version?

-Carl

Carl wrote:

> I prefer the tempered version. Is the same temperament being
> used to tune the root of each chord in the adaptive version?

They're very similar to each other but they're not identical.
For the root tones of the ad-JI version, the fifths and minor thirds are 1/6-comma larger.
For the tempered version, the minor thirds are 2/11-comma larger, which makes both the fifths and the major thirds only 1/11-comma away from JI.

It's a comparison similar to taking 1/4-comma meantone for root positions in an ad-JI progression and 2/7-comma meantone for the tempered version.

Petr

--- In tuning@yahoogroups.com, Petr Parízek <p.parizek@...> wrote:
>
> Carl wrote:
>
> > I prefer the tempered version. Is the same temperament being
> > used to tune the root of each chord in the adaptive version?
>
> They're very similar to each other but they're not identical.
> For the root tones of the ad-JI version, the fifths and minor
> thirds are 1/6-comma larger.
> For the tempered version, the minor thirds are 2/11-comma larger,
> which makes both the fifths and the major thirds only 1/11-comma
> away from JI.
>
> It's a comparison similar to taking 1/4-comma meantone for root
> positions in an ad-JI progression and 2/7-comma meantone for the
> tempered version.
>
> Petr

Could you humor an old man and make a version where the root
tuning is the same as the tempered tuning?

-Carl

Carl wrote:

> Could you humor an old man and make a version where the root
> tuning is the same as the tempered tuning?

Well, if you don't mind that the fifths are about 20 cents wider than in JI ... I've left it in the Tuning Files with the number 6 added -- I think it comes out as the third item from the top when listing my folder.

Petr