Some ratios desired for common practice Maqam Music

Notation is SCALA E79:
|
0: 1/1 C RAST 1/1
1: 15.092 cents C/
2: 30.185 cents C//
3: 45.277 cents C^ Db(
4: 60.369 cents C) Dbv
5: 75.461 cents C#\ Db\\ 25/24 (24/23)
6: 90.554 cents C# Db\ 20/19 (256/243)
7: 105.646 cents C#/ Db 16/15
8: 120.738 cents C#// Db/ 15/14
9: 135.830 cents C#^ D( 14/13 and 13/12 (27/25)
10: 150.923 cents C#) Dv 12/11
11: 166.015 cents D\\ 11/10
12: 181.107 cents D\ 10/9
13: 196.200 cents D DUGAH 9/8
14: 211.292 cents D/ dugah again 9/8
15: 226.384 cents D//
16: 241.476 cents D^ Eb(
17: 256.569 cents D) Ebv
18: 271.661 cents D#\ Eb\\
19: 286.753 cents D# Eb\ 20/17
20: 301.845 cents D#/ Eb 81/68 (32/27)
21: 316.938 cents D#// Eb/ 6/5
22: 332.030 cents D#^ E( 17/14
23: 347.122 cents D#) Ev 11/9
24: 362.215 cents E\\ 16/13 (21/17)
25: 377.307 cents E\ segah/ussaq down from here
36/29 (31/25)
26: 392.399 cents E SEGAH 5/4
27: 407.491 cents E/ Fb buselik 81/64
28: 422.584 cents E// Fb/ nishabur? 14/11 (51/40
and 23/18)
29: 437.676 cents E^ F(
30: 452.768 cents E) Fv
31: 467.860 cents E#\ F\\
32: 482.953 cents E# F\
33: 498.045 cents F CHARGAH 4/3
34: 513.137 cents F/
35: 528.230 cents F//
36: 543.322 cents F^ Gb(
37: 558.414 cents F) Gbv
38: 573.506 cents F#\ Gb\\
39: 588.599 cents F# Gb\
40: 603.691 cents F#/ Gb
41: 618.783 cents F#// Gb/
42: 633.875 cents F#^ G(
43: 648.968 cents F#) Gv
44: 664.060 cents G\\
45: 679.152 cents G\
46: 701.955 cents G NEVA (your PENCHGAH?) 3/2
47: 717.047 cents G/
48: 732.140 cents G//
49: 747.232 cents G^ Ab(
50: 762.324 cents G) Abv
51: 777.416 cents G#\ Ab\\
52: 792.509 cents G# Ab\
53: 807.601 cents G#/ Ab
54: 822.693 cents G#// Ab/
55: 837.785 cents G#^ A(
56: 852.878 cents G#) Av
57: 867.970 cents A\\ hisar (in Huzzam Maqam)
48/29 (28/17)
58: 883.062 cents A\ hisarek (Hisar in Segah
Maqam) 5/3 specifically
59: 898.155 cents A HUSEYNI
5/3 and 27/16
60: 913.247 cents A/ huseyni once more 27/16
specifically (17/10)
61: 928.339 cents A//
62: 943.431 cents A^ Bb(
63: 958.524 cents A) Bbv
64: 973.616 cents A#\ Bb\\
65: 988.708 cents A# Bb\
66: 1003.800 cents A#/ Bb
67: 1018.893 cents A#// Bb/
68: 1033.985 cents A#^ B(
69: 1049.077 cents A#) Bv
70: 1064.170 cents B\\
71: 1079.262 cents B\
72: 1094.354 cents B EWDJ 15/8
73: 1109.446 cents B/ Cb mahur 243/128
74: 1124.539 cents B// Cb/ mahurek? 21/11
75: 1139.631 cents B^ C(
76: 1154.723 cents B) Cv
77: 1169.815 cents B#\ C\\
78: 1184.908 cents B# C\
79: 1200.000 cents C GERDANIYE 2/1

----- Original Message -----
From: "Gene Ward Smith" <genewardsmith@coolgoose.com>
To: <tuning@yahoogroups.com>
Sent: 24 �ubat 2006 Cuma 2:47
Subject: [tuning] Re: Scales with two kinds of fifth

> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:
> >
> > Include the 7 and 17 limit consonances, and we are done.
>
> If you want all consonances up to the 17 limit plus three kinds of
> fifth, you'll end up with something impractical, I think. Why not give
> the specific intervals you truly need?
>
>
>

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:

How important is it to have all of these things distinct? That is, for
instance, do you really need 15/14 and 16/15, or can you compromise
between the two?

Certainly not.

----- Original Message -----
From: "Gene Ward Smith" <genewardsmith@coolgoose.com>
To: <tuning@yahoogroups.com>
Sent: 24 �ubat 2006 Cuma 3:28
Subject: [tuning] Re: Some ratios desired for common practice Maqam Music

> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:
>
> How important is it to have all of these things distinct? That is, for
> instance, do you really need 15/14 and 16/15, or can you compromise
> between the two?
>
>

> > How important is it to have all of these things distinct?
> > That is, for instance, do you really need 15/14 and 16/15,
> > or can you compromise between the two?
>
> Certainly not.

But it apparently is OK to have a single interval represent both
14/13 and 13/12... so there are a lot of details to your
requirements that you haven't disclosed. If and when you do
decide to coherently disclose them, there's a good chance Gene
or someone else will be able to tell you if your 79-tone scale
really is the best possible scale for what you're doing. Wouldn't
that be nice? Well, maybe it's not a high priority to you, if
the scale you have is satisfactory. That's a perfectly valid
position, of course.

-Carl

Well, one can't have everything all at once! In an ideal world, all the
desired intervals would have been achieved for everyone's usage. Such is not
the case however. I have strived long and hard to find a solution that
satisfied me despite the sacrifices I made along the way.

If you think I am not being coherent enough, blame it on my shortcomings, or
else, your lack of attention.

Cordially,
Ozan

----- Original Message -----
From: "Carl Lumma" <clumma@yahoo.com>
To: <tuning@yahoogroups.com>
Sent: 24 �ubat 2006 Cuma 9:00
Subject: [tuning] Re: Some ratios desired for common practice Maqam Music

> > > How important is it to have all of these things distinct?
> > > That is, for instance, do you really need 15/14 and 16/15,
> > > or can you compromise between the two?
> >
> > Certainly not.
>
> But it apparently is OK to have a single interval represent both
> 14/13 and 13/12... so there are a lot of details to your
> requirements that you haven't disclosed. If and when you do
> decide to coherently disclose them, there's a good chance Gene
> or someone else will be able to tell you if your 79-tone scale
> really is the best possible scale for what you're doing. Wouldn't
> that be nice? Well, maybe it's not a high priority to you, if
> the scale you have is satisfactory. That's a perfectly valid
> position, of course.
>
> -Carl
>