RE: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

Dear ozan

But the system you mentioned is not system of equally dividing the length of string to 72 part. Also , what is the relationship between frequency-difference of 5 hz and equal divisions of string as you know that relationship between them is stright line :

F1 , f2,f3,.........2f1

F1=f1

F2 = f1 +5

F3=f2+5=f1+10

L (f2f1)= f1/f2 = f1/f1+5

L(f3f2) = f2/f3 = f1+5/f1+10

.

.

.

You know that logic of systems such as 72/72 ..... 72/36 is equally dividing the length of string , which farabi used for his intervallic experiments.

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

-----Original Message-----
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Friday, December 23, 2005 12:23 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

Oh yes, sorry about this. I meant to send it to our notayaz group, but

confused the destination.

I arrived at that scale by the arithmetic division of a string from the base

frequency (600 hz) up to the octave (1200 Hz) into twelve equal parts (25 Hz

increments).

Here is another dividing the octave of the string into 72 equal parts, from

360 Hz to 720 Hz by 5 Hz increments:

0: 1/1 0.000 unison, perfect prime

1: 73/72 23.879

2: 37/36 47.434

3: 25/24 70.672 classic chromatic semitone, minor

chroma

4: 19/18 93.603 undevicesimal semitone

5: 77/72 116.234

6: 13/12 138.573 tridecimal 2/3-tone

7: 79/72 160.627

8: 10/9 182.404 minor whole tone

9: 9/8 203.910 major whole tone

10: 41/36 225.152

11: 83/72 246.137

12: 7/6 266.871 septimal minor third

13: 85/72 287.359

14: 43/36 307.608

15: 29/24 327.622

16: 11/9 347.408 undecimal neutral third

17: 89/72 366.970

18: 5/4 386.314 major third

19: 91/72 405.444

20: 23/18 424.364 vicesimotertial major third

21: 31/24 443.081

22: 47/36 461.597

23: 95/72 479.917

24: 4/3 498.045 perfect fourth

25: 97/72 515.985

26: 49/36 533.742 Arabic lute acute fourth

27: 11/8 551.318 undecimal semi-augmented fourth

28: 25/18 568.717 classic augmented fourth

29: 101/72 585.944

30: 17/12 603.000 2nd septendecimal tritone

31: 103/72 619.891

32: 13/9 636.618 tridecimal diminished fifth

33: 35/24 653.185 septimal semi-diminished fifth

34: 53/36 669.595

35: 107/72 685.850

36: 3/2 701.955 perfect fifth

37: 109/72 717.911

38: 55/36 733.722 undecimal semi-augmented fifth

39: 37/24 749.389

40: 14/9 764.916 septimal minor sixth

41: 113/72 780.305

42: 19/12 795.558 undevicesimal minor sixth

43: 115/72 810.678

44: 29/18 825.667

45: 13/8 840.528 tridecimal neutral sixth

46: 59/36 855.262

47: 119/72 869.871

48: 5/3 884.359 major sixth, BP sixth

49: 121/72 898.726

50: 61/36 912.975

51: 41/24 927.107

52: 31/18 941.126

53: 125/72 955.031 classic augmented sixth

54: 7/4 968.826 harmonic seventh

55: 127/72 982.512

56: 16/9 996.090 Pythagorean minor seventh

57: 43/24 1009.563

58: 65/36 1022.931

59: 131/72 1036.198

60: 11/6 1049.363 21/4-tone, undecimal neutral seventh

61: 133/72 1062.429

62: 67/36 1075.397

63: 15/8 1088.269 classic major seventh

64: 17/9 1101.045 septendecimal major seventh

65: 137/72 1113.728

66: 23/12 1126.319 vicesimotertial major seventh

67: 139/72 1138.819

68: 35/18 1151.230 septimal semi-diminished octave

69: 47/24 1163.552

70: 71/36 1175.787

71: 143/72 1187.936

72: 2/1 1200.000 octave

----- Original Message -----

From: "Keenan Pepper" <keenanpepper@gmail.com>

To: <tuning@yahoogroups.com>

Sent: 22 Aralık 2005 Perşembe 21:18

Subject: Re: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

> Ozan Yarman wrote:

> > 0: 1/1 0.000 unison, perfect prime

> > 1: 13/12 138.573 tridecimal 2/3-tone

> > 2: 7/6 266.871 septimal minor third

> > 3: 5/4 386.314 major third

> > 4: 4/3 498.045 perfect fourth

> > 5: 17/12 603.000 2nd septendecimal tritone

> > 6: 3/2 701.955 perfect fifth

> > 7: 19/12 795.558 undevicesimal minor sixth

> > 8: 5/3 884.359 major sixth, BP sixth

> > 9: 7/4 968.826 harmonic seventh

> > 10: 11/6 1049.363 21/4-tone, undecimal neutral

seventh

> > 11: 23/12 1126.319 vicesimotertial major seventh

> > 12: 2/1 1200.000 octave

> >

> > 0, 1, 2, 3 ve 6 Saba pentakordu oluyor.

>

> The scale is the harmonic series from 12 to 24. Is the language Turkish?

>

> Keenan

>

>

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Hi

A mistake !

..... as you know that relationship between them is not stright line :

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

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Mohajeri Shahin
Sent: Saturday, December 24, 2005 8:15 AM
To: tuning@yahoogroups.com
Subject: RE: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

Dear ozan

But the system you mentioned is not system of equally dividing the length of string to 72 part. Also , what is the relationship between frequency-difference of 5 hz and equal divisions of string as you know that relationship between them is stright line :

F1 , f2,f3,.........2f1

F1=f1

F2 = f1 +5

F3=f2+5=f1+10

L (f2f1)= f1/f2 = f1/f1+5

L(f3f2) = f2/f3 = f1+5/f1+10

.

.

.

You know that logic of systems such as 72/72 ..... 72/36 is equally dividing the length of string , which farabi used for his intervallic experiments.

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

-----Original Message-----
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Friday, December 23, 2005 12:23 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

Oh yes, sorry about this. I meant to send it to our notayaz group, but

confused the destination.

I arrived at that scale by the arithmetic division of a string from the base

frequency (600 hz) up to the octave (1200 Hz) into twelve equal parts (25 Hz

increments).

Here is another dividing the octave of the string into 72 equal parts, from

360 Hz to 720 Hz by 5 Hz increments:

0: 1/1 0.000 unison, perfect prime

1: 73/72 23.879

2: 37/36 47.434

3: 25/24 70.672 classic chromatic semitone, minor

chroma

4: 19/18 93.603 undevicesimal semitone

5: 77/72 116.234

6: 13/12 138.573 tridecimal 2/3-tone

7: 79/72 160.627

8: 10/9 182.404 minor whole tone

9: 9/8 203.910 major whole tone

10: 41/36 225.152

11: 83/72 246.137

12: 7/6 266.871 septimal minor third

13: 85/72 287.359

14: 43/36 307.608

15: 29/24 327.622

16: 11/9 347.408 undecimal neutral third

17: 89/72 366.970

18: 5/4 386.314 major third

19: 91/72 405.444

20: 23/18 424.364 vicesimotertial major third

21: 31/24 443.081

22: 47/36 461.597

23: 95/72 479.917

24: 4/3 498.045 perfect fourth

25: 97/72 515.985

26: 49/36 533.742 Arabic lute acute fourth

27: 11/8 551.318 undecimal semi-augmented fourth

28: 25/18 568.717 classic augmented fourth

29: 101/72 585.944

30: 17/12 603.000 2nd septendecimal tritone

31: 103/72 619.891

32: 13/9 636.618 tridecimal diminished fifth

33: 35/24 653.185 septimal semi-diminished fifth

34: 53/36 669.595

35: 107/72 685.850

36: 3/2 701.955 perfect fifth

37: 109/72 717.911

38: 55/36 733.722 undecimal semi-augmented fifth

39: 37/24 749.389

40: 14/9 764.916 septimal minor sixth

41: 113/72 780.305

42: 19/12 795.558 undevicesimal minor sixth

43: 115/72 810.678

44: 29/18 825.667

45: 13/8 840.528 tridecimal neutral sixth

46: 59/36 855.262

47: 119/72 869.871

48: 5/3 884.359 major sixth, BP sixth

49: 121/72 898.726

50: 61/36 912.975

51: 41/24 927.107

52: 31/18 941.126

53: 125/72 955.031 classic augmented sixth

54: 7/4 968.826 harmonic seventh

55: 127/72 982.512

56: 16/9 996.090 Pythagorean minor seventh

57: 43/24 1009.563

58: 65/36 1022.931

59: 131/72 1036.198

60: 11/6 1049.363 21/4-tone, undecimal neutral seventh

61: 133/72 1062.429

62: 67/36 1075.397

63: 15/8 1088.269 classic major seventh

64: 17/9 1101.045 septendecimal major seventh

65: 137/72 1113.728

66: 23/12 1126.319 vicesimotertial major seventh

67: 139/72 1138.819

68: 35/18 1151.230 septimal semi-diminished octave

69: 47/24 1163.552

70: 71/36 1175.787

71: 143/72 1187.936

72: 2/1 1200.000 octave

----- Original Message -----

From: "Keenan Pepper" <keenanpepper@gmail.com>

To: <tuning@yahoogroups.com>

Sent: 22 Aralık 2005 Perşembe 21:18

Subject: Re: [tuning] Bir teli 12 eşit parçaya böldüğümüzde çıkan sonuç

> Ozan Yarman wrote:

> > 0: 1/1 0.000 unison, perfect prime

> > 1: 13/12 138.573 tridecimal 2/3-tone

> > 2: 7/6 266.871 septimal minor third

> > 3: 5/4 386.314 major third

> > 4: 4/3 498.045 perfect fourth

> > 5: 17/12 603.000 2nd septendecimal tritone

> > 6: 3/2 701.955 perfect fifth

> > 7: 19/12 795.558 undevicesimal minor sixth

> > 8: 5/3 884.359 major sixth, BP sixth

> > 9: 7/4 968.826 harmonic seventh

> > 10: 11/6 1049.363 21/4-tone, undecimal neutral

seventh

> > 11: 23/12 1126.319 vicesimotertial major seventh

> > 12: 2/1 1200.000 octave

> >

> > 0, 1, 2, 3 ve 6 Saba pentakordu oluyor.

>

> The scale is the harmonic series from 12 to 24. Is the language Turkish?

>

> Keenan

>

>

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