Music in 53 equal

Does anyone have examples I can cite, or link to, for this article:

http://en.wikipedia.org/wiki/53_equal_temperament

Same question for 72 equal.

Hi Gene,

I'm sure you know both of these books, which advocate
for 53-eq. Hermann Helmholtz's On The Sensations of
Tone trans. Alexander Ellis (Dover Books) and Alain
Danielou's Music and the Power of Sound. I'm pretty
sure Danielou's 1943 book (reprinted 1995 Inner
Traditions Books) has some arithmetic mistakes.
Helmholtz's book uses multiple systems of notation for
53-eq. and has inaccurate scales (some of the Arabic
scales are corrected by Ellis), but his math is sound.
I never fully made sense of either until I combined
what they were saying with what I learned in Allaudin
Mathieu's Harmonic Experience.

A friend also gave me two pages of a French language
book (not by Danielou) with two full-page analyses of
a 25-note Syrian scale template (Sayb Ali ad-Darwis)
and a different 25-note Turkish scale template (Ra'uf
Yaqia Bey), both choosing certain notes in 53-eq. But
neither my friend nor I know the source of this.

Chris Mohr

Hope fully, in five to ten years, I'll have a major
oratorio out in 53-eq.

--- Gene Ward Smith <gwsmith@svpal.org> wrote:

> Does anyone have examples I can cite, or link to,
> for this article:
>
> http://en.wikipedia.org/wiki/53_equal_temperament
>
> Same question for 72 equal.
>
>
>
>
>

__________________________________
Yahoo! for Good - Make a difference this year.
http://brand.yahoo.com/cybergivingweek2005/

That's Rauf Yekta Bey, the premier Turkish Musicologist, and his scale
consists of 24 notes to the octave:

Yekta Bey, 24-tone pyth. Arabic scale
|
0: 1/1 0.000 unison, perfect prime
1: 256/243 90.225 limma, Pythagorean minor second
2: 2187/2048 113.685 apotome
3: 65536/59049 180.450 Pythagorean diminished third
4: 9/8 203.910 major whole tone
5: 32/27 294.135 Pythagorean minor third
6: 19683/16384 317.595 Pythagorean augmented second
7: 8192/6561 384.360 Pythagorean diminished fourth
8: 81/64 407.820 Pythagorean major third
9: 4/3 498.045 perfect fourth
10: 177147/131072 521.505 Pythagorean augmented third
11: 1024/729 588.270 Pythagorean diminished fifth
12: 729/512 611.730 Pythagorean tritone
13: 262144/177147 678.495 Pythagorean diminished sixth
14: 3/2 701.955 perfect fifth
15: 128/81 792.180 Pythagorean minor sixth
16: 6561/4096 815.640 Pythagorean augmented fifth
17: 32768/19683 882.405 Pythagorean diminished seventh
18: 27/16 905.865 Pythagorean major sixth
19: 16/9 996.090 Pythagorean minor seventh
20: 59049/32768 1019.550 Pythagorean augmented sixth
21: 4096/2187 1086.315 Pythagorean diminished octave
22: 243/128 1109.775 Pythagorean major seventh
23: 1048576/531441 1176.540 Pythagorean diminished ninth
24: 2/1 1200.000 octave

An earlier version by 1899 contains only 22 pitches.

And please, for goodness' sake people, refrain from calling theory explained
by Turks Arabic!

Oz.

----- Original Message -----
From: "Chris Mohr" <fromtherealmoftheshadow@yahoo.com>
To: <tuning@yahoogroups.com>
Sent: 30 Aral�k 2005 Cuma 16:24
Subject: Re: [tuning] Music in 53 equal

SNIP
>
> A friend also gave me two pages of a French language
> book (not by Danielou) with two full-page analyses of
> a 25-note Syrian scale template (Sayb Ali ad-Darwis)
> and a different 25-note Turkish scale template (Ra'uf
> Yaqia Bey), both choosing certain notes in 53-eq. But
> neither my friend nor I know the source of this.
>
> Chris Mohr
>
> Hope fully, in five to ten years, I'll have a major
> oratorio out in 53-eq.
>

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
>
> Does anyone have examples I can cite, or link to, for this article:
>
> http://en.wikipedia.org/wiki/53_equal_temperament
>
> Same question for 72 equal.
>

I do have one humble offering in 53-equal:

http://www.akjmusic.com/audio/sad.ogg

It is very good Aaron!

----- Original Message -----
From: "akjmicro" <aaron@akjmusic.com>
To: <tuning@yahoogroups.com>
Sent: 30 Aral�k 2005 Cuma 18:46
Subject: [tuning] Re: Music in 53 equal

> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> >
> > Does anyone have examples I can cite, or link to, for this article:
> >
> > http://en.wikipedia.org/wiki/53_equal_temperament
> >
> > Same question for 72 equal.
> >
>
> I do have one humble offering in 53-equal:
>
> http://www.akjmusic.com/audio/sad.ogg
>
>
>

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@o...> wrote:
>
> That's Rauf Yekta Bey, the premier Turkish Musicologist, and his scale
> consists of 24 notes to the octave:

I was thinking of adding a section on 53 equal in Turkish music
theory. I suppose searching this group would be a good place to start.

I may be able to assist in some minor details then.

Oz.

----- Original Message -----
From: "Gene Ward Smith" <gwsmith@svpal.org>
To: <tuning@yahoogroups.com>
Sent: 30 Aral�k 2005 Cuma 20:53
Subject: [tuning] Re: Music in 53 equal

> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@o...> wrote:
> >
> > That's Rauf Yekta Bey, the premier Turkish Musicologist, and his scale
> > consists of 24 notes to the octave:
>
> I was thinking of adding a section on 53 equal in Turkish music
> theory. I suppose searching this group would be a good place to start.
>
>
>

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@o...> wrote:
>
> I may be able to assist in some minor details then.

I've said about all I can say about it in the article now; someone
more knowledgable could add more.

One must also make mention of Ayhan Zeren, a professor of Physics (of music)
in Turkey, and a staunch - if not reasonable - defender of the
Arel-Ezgi-Uzdilek school who has noticed the practicality of limiting the
Pythagorean chain of fifths at 53 tones, where he too notices the
quasi-equal distribution of the `comma`. However, he has a devotional
attachment to those darn 24-tones aside from which neither he nor others in
his league perceive anything else as worthy in the music making process.

He even complains that musicians today are inevitably performing Turkish
Maqam Music the wrong way unless they abide by the Arel-Ezgi-Uzdilek
pitches. Little does he know that any bland rendition of a classical piece
according to THAT tuning is impossible to tolerate or listen to.

This has got to stop.
Oz.

----- Original Message -----
From: "Gene Ward Smith" <gwsmith@svpal.org>
To: <tuning@yahoogroups.com>
Sent: 30 Aral�k 2005 Cuma 23:13
Subject: [tuning] Re: Music in 53 equal

> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@o...> wrote:
> >
> > I may be able to assist in some minor details then.
>
> I've said about all I can say about it in the article now; someone
> more knowledgable could add more.
>
>
>

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
>
> Does anyone have examples I can cite, or link to, for this article:
>
> http://en.wikipedia.org/wiki/53_equal_temperament
>
> Same question for 72 equal.
>

Twfiq Al-Sabagh, a Syrian violon player and a muicologist, have wrote
a book published in the year 1954 in Aleppo.

He gave the Arabic master musical scale using the 53_equal_temprament
as folow ( begining from Do, upward left to right reading ) :

412241211431144122412114

You mean this scale?

0: 1/1 C unison, perfect prime
1: 90.566 cents C#\ Db
2: 113.208 cents C# Db/
3: 158.491 cents C#) D(
4: 203.774 cents D
5: 294.340 cents D#\ Eb
6: 316.981 cents D# Eb/
7: 362.264 cents D#) E(
8: 384.906 cents E\
9: 407.547 cents E
10: 498.113 cents F
11: 566.038 cents F)/ Gb\
12: 588.679 cents F#\ Gb
13: 611.321 cents F# Gb/
14: 701.887 cents G
15: 792.453 cents G#\ Ab
16: 815.094 cents G# Ab/
17: 860.377 cents G#) A(
18: 905.660 cents A
19: 996.226 cents A#\ Bb
20: 1018.868 cents A# Bb/
21: 1064.151 cents A#) B(
22: 1086.792 cents B\
23: 1109.434 cents B
24: 2/1 C octave

----- Original Message -----
From: "ramivitale" <ramivitale@yahoo.com>
To: <tuning@yahoogroups.com>
Sent: 31 Aral�k 2005 Cumartesi 0:44
Subject: [tuning] Re: Music in 53 equal

> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> >
> > Does anyone have examples I can cite, or link to, for this article:
> >
> > http://en.wikipedia.org/wiki/53_equal_temperament
> >
> > Same question for 72 equal.
> >
>
> Twfiq Al-Sabagh, a Syrian violon player and a muicologist, have wrote
> a book published in the year 1954 in Aleppo.
>
> He gave the Arabic master musical scale using the 53_equal_temprament
> as folow ( begining from Do, upward left to right reading ) :
>
> 412241211431144122412114
>
>