A brand-new recording: Diaschismatic Music

Hi again.

For quite a long time, I was often confusing superpyth and diaschismatic temperaments. But now that I've understood how diaschismatic tempering works and tried it, I admit this is one of the most unexpected things that can occur in the huge collection of 5-limit temperaments. Bitonal chord combinations like D major + Ab major usually aren't played in anything else than 12-EDO and are usually not intended to be played in anything else. Well, diaschismatic scales seem like excellent candidates for this.

Okay, now it's the time to listen. The tuning I'm using in this piece is a simple regular temperament with a period of 600 cents and a generator of 105.8655 cents (i.e. 7/10 of the diaschisma wider than 135/128). Here is the link: http://download.yousendit.com/24CD4D0C32985025

Petr

> Okay, now it's the time to listen. The tuning I'm using in this
> piece is a simple regular temperament with a period of 600 cents
> and a generator of 105.8655 cents (i.e. 7/10 of the diaschisma
> wider than 135/128). Here is the link:
> http://download.yousendit.com/24CD4D0C32985025

Add 7 and you get pajara.

-Carl

Carl wrote:

> Add 7 and you get pajara.

Do you mean using 7 generators instead of 6?

Petr

--- In tuning@yahoogroups.com, Petr Parízek <p.parizek@...> wrote:
>
> Carl wrote:
>
> > Add 7 and you get pajara.
>
> Do you mean using 7 generators instead of 6?
>
> Petr

Using the mapping to the 7th harmonic. And perhaps a
slightly wider generator.

-Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <carl@...> wrote:
>
> --- In tuning@yahoogroups.com, Petr Parízek <p.parizek@> wrote:
> >
> > Carl wrote:
> >
> > > Add 7 and you get pajara.
> >
> > Do you mean using 7 generators instead of 6?
> >
> > Petr
>
> Using the mapping to the 7th harmonic. And perhaps a
> slightly wider generator.

Sorry for being cryptic. There are several 7-limit mappings
available; pajara is the -2 generators one. See also:

http://x31eq.com/diaschis.htm

-Carl

Graham!
Speaking of links being down. the pelog example on that page wasn't orking for me and the decimal counterpoint examples on the other page had trouble.
Is that you graham reading the hardy? enjoyed those

,',',',Kraig Grady,',',',
'''''''North/Western Hemisphere:
North American Embassy of Anaphoria island
'''''''South/Eastern Hemisphere:
Austronesian Outpost of Anaphoria
',',',',',',',',',',',',',',',',',',',',',',',',',',',',',

-----Original Message-----
From: Carl Lumma [mailto:carl@lumma.org]
Sent: Thursday, January 31, 2008 11:50 AM
To: tuning@yahoogroups.com
Subject: [tuning] Re: A brand-new recording: Diaschismatic Music

--- In tuning@yahoogroups.com, "Carl Lumma" <carl@...> wrote:
>
> --- In tuning@yahoogroups.com, Petr Par�zek <p.parizek@> wrote:
> >
> > Carl wrote:
> >
> > > Add 7 and you get pajara.
> >
> > Do you mean using 7 generators instead of 6?
> >
> > Petr
>
> Using the mapping to the 7th harmonic. And perhaps a
> slightly wider generator.

Sorry for being cryptic. There are several 7-limit mappings
available; pajara is the -2 generators one. See also:

http://x31eq.com/diaschis.htm

-Carl