FARAB :144-edo & al-farabi

Dear monzo

Recently I have found a refrence from iranian theorician & acoustician ,
DR.mehdi barkeshli , about work of al-farabi on 144-edo:

FARAB

A term from mehdi barkeshli to designate the interval
<http://tonalsoft.com/enc/interval.htm> measurement unit used by
al-farabi.

A FARAB is calculated as the 144th root of 2, or 2^(1/144) and is
~8.3333.... cent.

Shaahin Mohaajeri

Tombak Player & Researcher , Composer

www.geocities.com/acousticsoftombak

My tombak musics : www.rhythmweb.com/gdg

My articles in ''Harmonytalk'':

www.harmonytalk.com/archives/000296.html

www.harmonytalk.com/archives/000288.html

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm

hi Mohajeri,

--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...> wrote:

> Dear monzo
>
> Recently I have found a refrence from iranian theorician
> & acoustician , DR.mehdi barkeshli , about work of al-farabi
> on 144-edo:
>
> FARAB
>
> A term from mehdi barkeshli to designate the interval
> <http://tonalsoft.com/enc/interval.htm> measurement unit used by
> al-farabi.
>
> A FARAB is calculated as the 144th root of 2, or 2^(1/144) and is
> ~8.3333.... cent.

thanks for that! i'm happy to find that someone has actually
named this and used it as an interval measurement, because
Dan Stearns and myself both advocated its use for notational
purposes back in 1999, and i've also come to the conclusion
after much personal deliberation that 144-edo is the best
interpretation of the work of the important ancient Greek
theorist Aristoxenus.

so i've created a new Encyclopedia page for "farab", which
will appear when the new version of the Encyclopedia is
complete and uploaded.

can you please provide a detailed citation of Barkeshli's
book? and/or whatever book it was that gave you the reference?
thanks.

-monz

--- In tuning@yahoogroups.com, "monz" <monz@t...> wrote:

> thanks for that! i'm happy to find that someone has actually
> named this and used it as an interval measurement, because
> Dan Stearns and myself both advocated its use for notational
> purposes back in 1999, and i've also come to the conclusion
> after much personal deliberation that 144-edo is the best
> interpretation of the work of the important ancient Greek
> theorist Aristoxenus.

When it comes to approximating JI, 144 does not have a life
independent from 72 until we reach the 13 limit. There, it has a TM
basis {225/224, 243/242, 385/384, 847/845, 1875/1859}. The last comma,
1875/1859, is pretty cheesy, and if we remove it we get hemimiracle,
the 41&103 temperament, which has a generator of a half secor, and
represents 13/4 by 17.5 secors. It all makes me wonder what advantage
144 has over 72.