24-edo 36-EDO , 48-edo FROM CHAINs OF tritone , PYTHAGOREAN THIRD and .....

HI ALL

considering three 12-degree chain of 81/64 , 12-ED(81/64) , the result is 1223.46:

0: 1/1 0.000 unison, perfect prime

1: 33.985 cents 33.985

2: 67.970 cents 67.970

3: 101.955 cents 101.955

4: 135.940 cents 135.940

5: 169.925 cents 169.925

6: 9/8 203.910 major whole tone

7: 237.895 cents 237.895

8: 271.880 cents 271.880

9: 305.865 cents 305.865

10: 339.850 cents 339.850

11: 373.835 cents 373.835

12: 81/64 407.820 Pythagorean major third

13: 441.805 cents 441.805

14: 475.790 cents 475.790

15: 509.775 cents 509.775

16: 543.760 cents 543.760

17: 577.745 cents 577.745

18: 729/512 611.730 Pythagorean tritone

19: 645.715 cents 645.715

20: 679.700 cents 679.700

21: 713.685 cents 713.685

22: 747.670 cents 747.670

23: 781.655 cents 781.655

24: 6561/4096 815.640 Pythagorean augmented fifth

25: 849.625 cents 849.625

26: 883.610 cents 883.610

27: 917.595 cents 917.595

28: 951.580 cents 951.580

29: 985.565 cents 985.565

30: 59049/32768 1019.550 Pythagorean augmented sixth

31: 1053.535 cents 1053.535

32: 1087.520 cents 1087.520

33: 1121.505 cents 1121.505

34: 1155.490 cents 1155.490

35: 1189.475 cents 1189.475

36: 531441/262144 1223.460 Pythagorean augmented seventh

then :

23.46 / 36 = 0.6516666

Then 36-edo will be resulted by using : Cd-(0.651666*d) which Cd is cent of each degree and d is degree of interval.

And also for 48-edo from four 12-degree chains of 32/27 , 12-ED(32/27) but the result is 1176.540 , then we have :

23.46 / 48= 0.48875

And using this formula : Cd+(0.651666*d)

24-edo : from two 12-degree chains of Pythagorean tritone , 12-ED(729/512)

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web siteوب سايت شاهين مهاجري <http://240edo.tripod.com/>

My farsi page in Harmonytalkصفحه اختصاصي در هارموني تاك <http://www.harmonytalk.com/mohajeri>

Shaahin Mohajeri in Wikipedia شاهين مهاجري دردائره المعارف ويكي پديا <http://en.wikipedia.org/wiki/Shaahin_mohajeri> <http://www.harmonytalk.com/id/908>

Can you upload or email a copy of this in a word
document to retain its formatting? I couldnt make out
over half of the text as it seems the formating was
corrupted, thanks

D

--- Mohajeri Shahin <shahinm@kayson-ir.com> wrote:

> HI ALL
>
>
>
> considering three 12-degree chain of 81/64 ,
> 12-ED(81/64) , the result is 1223.46:
>
> 0: 1/1 0.000 unison,
> perfect prime
>
> 1: 33.985 cents 33.985
>
> 2: 67.970 cents 67.970
>
> 3: 101.955 cents 101.955
>
> 4: 135.940 cents 135.940
>
> 5: 169.925 cents 169.925
>
> 6: 9/8 203.910 major whole
> tone
>
> 7: 237.895 cents 237.895
>
> 8: 271.880 cents 271.880
>
> 9: 305.865 cents 305.865
>
> 10: 339.850 cents 339.850
>
> 11: 373.835 cents 373.835
>
> 12: 81/64 407.820 Pythagorean
> major third
>
> 13: 441.805 cents 441.805
>
> 14: 475.790 cents 475.790
>
> 15: 509.775 cents 509.775
>
> 16: 543.760 cents 543.760
>
> 17: 577.745 cents 577.745
>
> 18: 729/512 611.730 Pythagorean
> tritone
>
> 19: 645.715 cents 645.715
>
> 20: 679.700 cents 679.700
>
> 21: 713.685 cents 713.685
>
> 22: 747.670 cents 747.670
>
> 23: 781.655 cents 781.655
>
> 24: 6561/4096 815.640 Pythagorean
> augmented fifth
>
> 25: 849.625 cents 849.625
>
> 26: 883.610 cents 883.610
>
> 27: 917.595 cents 917.595
>
> 28: 951.580 cents 951.580
>
> 29: 985.565 cents 985.565
>
> 30: 59049/32768 1019.550 Pythagorean
> augmented sixth
>
> 31: 1053.535 cents 1053.535
>
> 32: 1087.520 cents 1087.520
>
> 33: 1121.505 cents 1121.505
>
> 34: 1155.490 cents 1155.490
>
> 35: 1189.475 cents 1189.475
>
> 36: 531441/262144 1223.460 Pythagorean
> augmented seventh
>
> then :
>
> 23.46 / 36 = 0.6516666
>
> Then 36-edo will be resulted by using :
> Cd-(0.651666*d) which Cd is cent of each degree and
> d is degree of interval.
>
>
>
> And also for 48-edo from four 12-degree chains of
> 32/27 , 12-ED(32/27) but the result is 1176.540 ,
> then we have :
>
> 23.46 / 48= 0.48875
>
> And using this formula : Cd+(0.651666*d)
>
>
>
> 24-edo : from two 12-degree chains of Pythagorean
> tritone , 12-ED(729/512)
>
>
>
>
>
>
>
>
>
>
>
>
>
> Shaahin Mohajeri
>
> Tombak Player & Researcher , Microtonal Composer
>
> My web siteوب سايت شاهين مهاجري
> <http://240edo.tripod.com/>
>
> My farsi page in Harmonytalkصفحه اختصاصي
> در هارموني تاك
> <http://www.harmonytalk.com/mohajeri>
>
> Shaahin Mohajeri in Wikipedia شاهين
> مهاجري دردائره المعارف ويكي
> پديا
> <http://en.wikipedia.org/wiki/Shaahin_mohajeri>
> <http://www.harmonytalk.com/id/908>
>
>
>
>

__________________________________________________
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--- In tuning@yahoogroups.com, Dan Amateur wrote:
>
>
> Can you upload or email a copy of this in a word
> document to retain its formatting? I couldnt make out
> over half of the text as it seems the formating was
> corrupted, thanks
>
> D
>
> --- Mohajeri Shahin <shahinm@...> wrote:
>
> > HI ALL
> >
> >
> >
> > considering three 12-degree chain of 81/64 ,
> > 12-ED(81/64) , the result is 1223.46:
> >
> > 0: 1/1 0.000 unison,
> > perfect prime
> >
> > 1: 33.985 cents 33.985
> >
> > 2: 67.970 cents 67.970
> >
> > 3: 101.955 cents 101.955
> >
> > 4: 135.940 cents 135.940
> >
> > 5: 169.925 cents 169.925
> >
> > 6: 9/8 203.910 major whole
> > tone
> >
> > 7: 237.895 cents 237.895
> >
> > 8: 271.880 cents 271.880
> >
> > 9: 305.865 cents 305.865
> >
> > 10: 339.850 cents 339.850
> >
> > 11: 373.835 cents 373.835
> >
> > 12: 81/64 407.820 Pythagorean
> > major third
> >
> > 13: 441.805 cents 441.805
> >
> > 14: 475.790 cents 475.790
> >
> > 15: 509.775 cents 509.775
> >
> > 16: 543.760 cents 543.760
> >
> > 17: 577.745 cents 577.745
> >
> > 18: 729/512 611.730 Pythagorean
> > tritone
> >
> > 19: 645.715 cents 645.715
> >
> > 20: 679.700 cents 679.700
> >
> > 21: 713.685 cents 713.685
> >
> > 22: 747.670 cents 747.670
> >
> > 23: 781.655 cents 781.655
> >
> > 24: 6561/4096 815.640 Pythagorean
> > augmented fifth
> >
> > 25: 849.625 cents 849.625
> >
> > 26: 883.610 cents 883.610
> >
> > 27: 917.595 cents 917.595
> >
> > 28: 951.580 cents 951.580
> >
> > 29: 985.565 cents 985.565
> >
> > 30: 59049/32768 1019.550 Pythagorean
> > augmented sixth
> >
> > 31: 1053.535 cents 1053.535
> >
> > 32: 1087.520 cents 1087.520
> >
> > 33: 1121.505 cents 1121.505
> >
> > 34: 1155.490 cents 1155.490
> >
> > 35: 1189.475 cents 1189.475
> >
> > 36: 531441/262144 1223.460 Pythagorean
> > augmented seventh
> >
> > then :
> >
> > 23.46 / 36 = 0.6516666
> >
> > Then 36-edo will be resulted by using :
> > Cd-(0.651666*d) which Cd is cent of each degree and
> > d is degree of interval.
> >
> >
> >
> > And also for 48-edo from four 12-degree chains of
> > 32/27 , 12-ED(32/27) but the result is 1176.540 ,
> > then we have :
> >
> > 23.46 / 48= 0.48875
> >
> > And using this formula : Cd+(0.651666*d)
> >
> >
> >
> > 24-edo : from two 12-degree chains of Pythagorean
> > tritone , 12-ED(729/512)
> >
> >
> >
> >
> >
> >
> >
> >
> >
> >
> >
> >
> >
> > Shaahin Mohajeri
> >
> > Tombak Player & Researcher , Microtonal Composer
> >
> > My web siteوب سايت شاهين مهاجري
> > <http://240edo.tripod.com/>
> >
> > My farsi page in Harmonytalkصفحه اختصاصي
> > در هارموني تاك
> > <http://www.harmonytalk.com/mohajeri>
> >
> > Shaahin Mohajeri in Wikipedia شاهين
> > مهاجري دردائره المعارف ويكي
> > پديا
> > <http://en.wikipedia.org/wiki/Shaahin_mohajeri>
> > <http://www.harmonytalk.com/id/908>
> >

Hi Dan!

If you're using internet Explorer to view the message, try seleting
View | Encoding | Unicode (UTF-8) from the browser menu.

Regards,
Yahya

PS Shaahin, I posted a lengthy reply earlier, but it seems to have
evaporated! Maybe Yahoo! will find it somewhere in the skies over
Kansas and precipitate it soon ... If not, I'll reply again soon. YA