for c.m.bryan , about ado and edl

From: "c.m.bryan" chrismbryan@...

Date: Sun May 21, 2006 8:11am(PDT)

Subject: Re: new music uploaded

> 2 new musics , in 24-EDL and 12-ADO

Could you please explain "EDL" and "ADO"? I'm not familiar with the
terms.

-chris

about ado and edl :

As you know , when Considering mathematical concept of arithmetic
progression or
sequence(http://en.wikipedia.org/wiki/Arithmetic_progression

http://primes.utm.edu/glossary/page.php/ArithmeticSequence.html)

, we see some terms which are defined as a1 , a2 , a3 and so on.

The realation between them is a2=a1+d .....an=a1+(n-1)d which d is
common difference between them.

So we can have an arithmetic sequence such as 1 , 1.1 , 1.2 , 1.3 ,....2

The first term is 1 and the last is 2 with common difference of 0.1

Now think of that sequence as 10/10 , 11/10 ,12/10 , 13/10 , 20/10 or
(10:11:12:....:20) which after simplification we have :

0: 1/1 0.000 unison, perfect prime

1: 11/10 165.004 4/5-tone, Ptolemy's second

2: 6/5 315.641 minor third

3: 13/10 454.214 tridecimal semi-diminished fourth

4: 7/5 582.512 septimal or Huygens' tritone, BP
fourth

5: 3/2 701.955 perfect fifth

6: 8/5 813.686 minor sixth

7: 17/10 918.642 septendecimal diminished seventh

8: 9/5 1017.596 just minor seventh, BP seventh

9: 19/10 1111.199 undevicesimal major seventh

10: 2/1 1200.000 octave

This is an arithmetic sequnece of terms with 1/10 as common difference.

The steps in this system :

1: 11/10 165.004 4/5-tone, Ptolemy's second

2: 12/11 150.637 3/4-tone, undecimal neutral second

3: 13/12 138.573 tridecimal 2/3-tone

4: 14/13 128.298 2/3-tone

5: 15/14 119.443 major diatonic semitone

6: 16/15 111.731 minor diatonic semitone

7: 17/16 104.955 17th harmonic

8: 18/17 98.955 Arabic lute index finger

9: 19/18 93.603 undevicesimal semitone

10: 20/19 88.801 small undevicesimal semitone

Are serie of superparticular ratios with descending trend.

So if the interval between nth and first degree of scale or system is
important , the system acts like arithmetic sequnence.

You can think EDO as geometric sequence wich the steps are constant but
degrees are as an=a1*(q^n)which q is common difference.

So you see that why I called ADO because each adjaucent degree is term
of an arithmetic sequence although steps belongs to a descending serie
of superparticular ratios .

But about EDL which is related to equally dividing entire string length
, the length distance between each degree is the same but The trend of
superparticular serie is vice versa and ascending. sequence as 20/20 ,
20/19 ,20/18 , ..... , 20/10 or (20:19:18:....:10)

0: 1/1 0.000 unison, perfect prime

1: 20/19 88.801 small undevicesimal semitone

2: 10/9 182.404 minor whole tone

3: 20/17 281.358 septendecimal augmented second

4: 5/4 386.314 major third

5: 4/3 498.045 perfect fourth

6: 10/7 617.488 Euler's tritone

7: 20/13 745.786 tridecimal semi-augmented fifth

8: 5/3 884.359 major sixth, BP sixth

9: 20/11 1034.996 large minor seventh

10: 2/1 1200.000 octave

The steps in this system :

1: 20/19 88.801 small undevicesimal semitone

2: 19/18 93.603 undevicesimal semitone

3: 18/17 98.955 Arabic lute index finger

4: 17/16 104.955 17th harmonic

5: 16/15 111.731 minor diatonic semitone

6: 15/14 119.443 major diatonic semitone

7: 14/13 128.298 2/3-tone

8: 13/12 138.573 tridecimal 2/3-tone

9: 12/11 150.637 3/4-tone, undecimal neutral second

10: 11/10 165.004 4/5-tone, Ptolemy's second.

Shaahin Mohaajeri

Tombak Player & Researcher , Composer

My web site : http://240edo.tripod.com/index.html
<blocked::http://240edo.tripod.com/index.html>

My tombak musics in Rhythmweb: 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

My musics in Wikipedia, the free encyclopedia :

- A composition based on a folk melody of Shiraz region, in shur-dastgah
by Mohajeri Shahin <http://www.xenharmony.org/mp3/shaahin/shur.mp3>

- An experiment in Iranian homayun and chahargah modes by Mohajeri
Shahin <http://www.xenharmony.org/mp3/shaahin/homayun.mp3>

[Non-text portions of this message have been removed]

> about ado and edl :

Thank you!

-chris