A revised 22-tone scale for maqam music

Cameron,

Upon further deliberations, I decided that Turkish Rast and Segah were not
well represented, and extended the tuning to 22-tones with more refinements.
Here is the result:

20/19
25/23
9/8
19/16
17/14
21/17
5/4
19/15
4/3
7/5
36/25
3/2
19/12
41/25
5/3
27/16
16/9
20/11
13/7
15/8
21/11
2/1

Note, that hisarek is modified once more to 5/3 in conformance with the new
5/4 segah and 15/8 evdj. These insertions ease my mind regarding the
compensation of Turkish Rast and Segah maqams. Another insertion is the
20/11 evdj that completes the Ushshaq a fifth below it. Also, I modified
beyati for a better hijaz tetrachord at G, and thus, kurdi had to be raised
along with ajem.

In cents:

0 RAST
89 Nim Zengule (Shuri)
144 Zengule
204 DUGAH
298 Kurdi
336 * Ushshaq
366 Segahche
386 * SEGAH
409 Buselik
498 CHARGAH
583 Hijaz (Uzzal)
631 Dik Hicaz (Saba)
702 NEVA
796 Nim Hisar (Beyati)
856 Hisar
884 * Hisarek (Dik Hisar)
906 HUSEYNI
996 Ajem
1035 * Dik Ajem
1072 Nerm Evdj
1088 * EVDJ
1119 Mahur
1200 GERDANIYE

(* non-cyclic tones)

I notice that even a far-fetched Western Classical harmony is possible here,
with many transpositions for maqamat.

Oz.

----- Original Message -----
From: "Cameron Bobro" <misterbobro@yahoo.com>
To: <tuning@yahoogroups.com>
Sent: 18 Nisan 2008 Cuma 18:21
Subject: [tuning] Re: Here is a 17-tone stripped-down JI maqam music
scale... revised and extended to 19-tones

Thanks Ozan, very interesting! I like the fact that you have many,
many things to consider and balance when making these tunings.

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:
>
> Dear Cameron,
>
> Indeed, segah is a very fickle soft third loitering about in the
zone you
> defined. In Persian, it means "third place", but rather than a
point, it
> resembles a portamento cluster. By rule of thumb, hisar is always
supposed
> to be a pure fourth above segah, except in maqam Huzzam, where it
definitely
> flounders about between 13/8 and 18/11. In AEU theory as well as
Arabic
> maqam music, Hisar is divided into three parts: nim hisar - hisar -
dik
> hisar. Arabic infatuation with 24-EDO notation consigns the
intervals in
> between them to quartertones, whereas, in the 24-tone Pythagorean
tuning,
> the sequence is comma+limma.
>
> 19/15 is certainly a middle ground between the Pythagorean and
undecimal
> major thirds. Yes, 33/26 may be used to soften the transition by
the chain
> of fifths here. But I prefer the former because it is low enough
and helps
> me avoid a nasty 170 cent interval between hijaz and buselik.
Besides, the
> scale is 41-limit, so there is no need to discard 19.
>
> Cordially,
> Oz.
>
>
>
> ----- Original Message -----
> From: "Cameron Bobro" <misterbobro@...>
> To: <tuning@yahoogroups.com>
> Sent: 18 Nisan 2008 Cuma 0:41
> Subject: [tuning] Re: Here is a 17-tone stripped-down JI maqam music
> scale... revised and extended to 19-tones
>
>
> Hi Ozan,
>
> been watching this, and cut-and-pasting into Scala to listen. A
> couple of questions- I take it from these examples that "segah" must
> mean some kind of "soft third", in general? Ranging from about 11/9
> to 5/4, low and high?
>
> Do you have 19/15 here as a kind of compromise between 81/64 and 14/
> 11? If it is, I would think 33/26 might work, in keeping with the
11s
> and 13s, and being almost identical with the harmonic mean of 81/64
> and 14/11. But it might throw off other things of course.
>
> Does Hisar have a theoretical ideal, like 18/11, or does it also
have
> a range, 13/8 to 18/11 for example?
>
> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@> wrote:
> >
> > Please note, that for a better perde Hisarek, I replaced 33/20
with
> 38/23,
> > which is 2 cents higher. Hopefully, this will be the final touch.
> >
> > Oz.
> >
> > ----- Original Message -----
> > From: "Ozan Yarman" <ozanyarman@>
> > To: "Tuning List" <tuning@yahoogroups.com>
> > Sent: 17 Nisan 2008 Per�embe 23:23
> > Subject: Re: Here is a 17-tone stripped-down JI maqam music
> scale... revised
> > and extended to 19-tones
> >
> >
> > > For smoother cycle of fifths, I made some changes to the 17-tone
> maqam
> > music
> > > tuning I posted previously:
> > >
> > > 21/20
> > > 25/23
> > > 9/8
> > > 13/11
> > > 17/14
> > > 21/17
> > > 19/15
> > > 4/3
> > > 7/5
> > > 36/25
> > > 3/2
> > > 11/7
> > > 41/25
> > > 33/20
> > > 27/16
> > > 39/22
> > > 13/7
> > > 21/11
> > > 2/1
> > >
> > > Here are the cents and perde names:
> > >
> > > 0 RAST
> > > 84 Nim Zengule (aka Shuri)
> > > 144 Zengule
> > > 204 DUGAH
> > > 289 Kurdi (aka Nihavend)
> > > 336 * Ushshaq (low version of SEGAH)
> > > 366 SEGAH
> > > 409 Buselik
> > > 498 CHARGAH
> > > 583 Hijaz
> > > 631 Saba
> > > 702 NEVA
> > > 782 Nim Hisar (aka Beyati)
> > > 856 Hisar
> > > 867 * Hisarek
> > > 906 HUSEYNI
> > > 991 Ajem
> > > 1072 EVDJ
> > > 1119 Mahur
> > > 1200 GERDANIYE
> > >
> > > (* non-cyclic tones)
> > >
> > > In SCALA, 31-ET notation works well.
> > >
> >
>

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