Yahoo Tuning Groups Ultimate Backup tuning about a work of cris forster about zarlino and ibnsina

After reading :

http://www.chrysalis-foundation.org/Ibn-Sina_Stifel_&_Zarlino.htm

I noticed that :

1- farabi , Ibn-sina and then zarlino were affected by equal divisions
of length system(EDL) which firstly was used by ptolemy .

He used a string length of 120 units (90 for the 4/3, 80/ for the 3/2)
to define both individual tetrachords and full octave scales ( thanks to
john chalmers for giving me valuable information about this system. They
will be uploaded in my site ).

2- using 4:3:2 means 4-EDL , dividing string length of L to 4 equal
parts to have 1/1(4/4) , 4/3 ,2/1(4/2) and to have superparticular
ratios as

4/3 and 3/2. in 6:4:3 we have 1/1(6/6) , 3/2(6/4) ,2/1(6/3) and
superparticulars as 3/2 and 4/3.

3- arithmetic divisions of octave , there , means , arithmetic mean of
harmonics In harmonic acoustical series. in 2:3:4 we have 3 as (2+4)/2
: third harmonic lies between second and fourth. And in 4:3:2 then
(4+2)/2 . in the first the superpartcular trend is descending and in the
next , ascending. In the first we move in direction of harmonic
acoustical series and in the next in reverse direction.

Considering divisions , Arithmetic divisions of octave or my term as ADO
, is an arithmetic progression with frequency ratios as terms.( EDO has
equal frequency ratios as equal divisions) so 3:4:5:6 is 3-ADO besed on
third degree of harmonic acoustical series.

So in arithmetic and harmonic mean we use degrees of harmonic acoustical
series and not divisions but define divisions og octave or length.

4- so what about geometric mean in 4:?:2

We have (4*2)^(1/2) = 2.8284271247461900976033774484194

So we can have 40:28:20 or 400:282:200 or 4000:2828:2000 with t
divisions of 617.488 cent , 582.512cent or 605.166cent and
594.834cent or 600.261cent and 599.834 cent.

We see that we are going to Have EDO.

Shaahin Mohaajeri

Tombak Player & Researcher , Microtonal Composer

My web site , click picture : <http://240edo.tripod.com/index.html>

My tombak musics in Rhythmweb: www.rhythmweb.com/gdg
<http://www.rhythmweb.com/gdg>

My articles in Harmonytalk:

- www.harmonytalk.com/archives/000296.html
<http://www.harmonytalk.com/archives/000296.html>

- www.harmonytalk.com/archives/000288.html
<http://www.harmonytalk.com/archives/000288.html>

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm
<http://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>

🔗Cris Forster <cris.forster@comcast.net>

>1- farabi , Ibn-sina and then zarlino were affected
>by equal divisions of length system(EDL) which
>firstly was used by ptolemy .

This observation, which took years to unearth and
systematize, I demonstrate in full detail (in Table 31
of _Musical Mathematics: A Practice in the
Mathematics of Tuning Instruments and Analyzing
Scales_) with interval ratios and frequency ratios as
found in the works of Ptolemy, Al-Farabi, and Ibn
Sina.

Cris Forster, Music Director
www.chrysalis-foundation.org

--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@...> wrote:
>
> After reading :
>
> http://www.chrysalis-foundation.org/Ibn-Sina_Stifel_&_Zarlino.htm
>
> I noticed that :
>
>
>
> 1- farabi , Ibn-sina and then zarlino were affected by equal
divisions
> of length system(EDL) which firstly was used by ptolemy .
>
> He used a string length of 120 units (90 for the 4/3, 80/ for the
3/2)
> to define both individual tetrachords and full octave scales (
thanks to
> john chalmers for giving me valuable information about this
system. They
> will be uploaded in my site ).
>
>
>
> 2- using 4:3:2 means 4-EDL , dividing string length of L to 4 equal
> parts to have 1/1(4/4) , 4/3 ,2/1(4/2) and to have superparticular
> ratios as
>
> 4/3 and 3/2. in 6:4:3 we have 1/1(6/6) , 3/2(6/4) ,2/1(6/3) and
> superparticulars as 3/2 and 4/3.
>
>
>
> 3- arithmetic divisions of octave , there , means , arithmetic
mean of
> harmonics In harmonic acoustical series. in 2:3:4 we have 3 as
(2+4)/2
> : third harmonic lies between second and fourth. And in 4:3:2 then
> (4+2)/2 . in the first the superpartcular trend is descending and
in the
> next , ascending. In the first we move in direction of harmonic
> acoustical series and in the next in reverse direction.
>
> Considering divisions , Arithmetic divisions of octave or my term
as ADO
> , is an arithmetic progression with frequency ratios as terms.(
EDO has
> equal frequency ratios as equal divisions) so 3:4:5:6 is 3-ADO
besed on
> third degree of harmonic acoustical series.
>
> So in arithmetic and harmonic mean we use degrees of harmonic
acoustical
> series and not divisions but define divisions og octave or length.
>
>
>
> 4- so what about geometric mean in 4:?:2
>
> We have (4*2)^(1/2) = 2.8284271247461900976033774484194
>
> So we can have 40:28:20 or 400:282:200 or 4000:2828:2000 with t
> divisions of 617.488 cent , 582.512cent or 605.166cent and
> 594.834cent or 600.261cent and 599.834 cent.
>
> We see that we are going to Have EDO.
>
> Shaahin Mohaajeri
>
> Tombak Player & Researcher , Microtonal Composer
>
> My web site , click picture :
<http://240edo.tripod.com/index.html>
>
> My tombak musics in Rhythmweb: www.rhythmweb.com/gdg
> <http://www.rhythmweb.com/gdg>
>
> My articles in Harmonytalk:
>
> - www.harmonytalk.com/archives/000296.html
> <http://www.harmonytalk.com/archives/000296.html>
>
> - www.harmonytalk.com/archives/000288.html
> <http://www.harmonytalk.com/archives/000288.html>
>
> My article in DrumDojo:
>
> www.drumdojo.com/world/persia/tonbak_acoustics.htm
> <http://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>
>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

Brother, did you notice that my latest calibration of 79 MOS 159-tET is equivalent to 1048 ADO?

(notation is modified SA79)

0: 1/1 C
1: 529/524 C/ Dbb
2: 1067/1048 Cy Dbb/
3: 269/262 C^ Dbby
4: 1085/1048 C#k Dbv
5: 1095/1048 C#\ Dbk
6: 1105/1048 C# Db\
7: 557/524 C#/ Db
8: 281/262 C#y Db/
9: 567/524 C#^ Dby
10: 143/131 Cxk Dv
11: 577/524 Cx\ Dk
12: 291/262 Cx D\
13: 587/524 D
14: 148/131 D/ Ebb
15: 1195/1048 Dy Ebb/
16: 1205/1048 D^ Ebby
17: 152/131 D#k Ebv
18: 613/524 D#\ Ebk
19: 1237/1048 D# Eb\
20: 156/131 D#/ Eb
21: 1259/1048 D#y Eb/
22: 635/524 D#^ Eby
23: 1281/1048 Dxk Ev
24: 323/262 Dx\ Ek
25: 163/131 Dx E\
26: 1315/1048 E
27: 1327/1048 E/ Fb
28: 669/524 Ey Fb/
29: 675/524 E^ Fby
30: 681/524 E#k Fv
31: 687/524 E#\ Fk
32: 693/524 E# F\
33: 4/3 F
34: 1411/1048 F/ Gbb
35: 1423/1048 Fy Gbb/
36: 1435/1048 F^ Gbby
37: 1447/1048 F#k Gbv
38: 365/262 F#\ Gbk
39: 1473/1048 F# Gb\
40: 1485/1048 F#/ Gb
41: 1499/1048 F#y Gb/
42: 189/131 F#^ Gby
43: 1525/1048 Fxk Gv
44: 1539/1048 Fx\ Gk
45: 194/131 Fx G\
46: 3/2 G
47: 793/524 G/ Abb
48: 200/131 Gy Abb/
49: 807/524 G^ Abby
50: 407/262 G#k Abv
51: 821/524 G#\ Abk
52: 207/131 G# Ab\
53: 1671/1048 G#/ Ab
54: 1685/1048 G#y Ab/
55: 425/262 G#^ Aby
56: 1715/1048 Gxk Av
57: 865/524 Gx\ Ak
58: 1745/1048 Gx A\
59: 220/131 A
60: 222/131 A/ Bbb
61: 1791/1048 Ay Bbb/
62: 226/131 A^ Bbby
63: 228/131 A#k Bbv
64: 1839/1048 A#\ Bbk
65: 1855/1048 A# Bb\
66: 2105/1179 (1871/1048) A#/ Bb
67: 236/131 A#y Bb/
68: 238/131 A#^ Bby
69: 1921/1048 Axk Bv
70: 969/524 Ax\ Bk
71: 1955/1048 Ax B\
72: 1971/1048 B
73: 1989/1048 B/ Cb
74: 1003/524 By Cb/
75: 253/131 B^ Cby
76: 2041/1048 B#k Cv
77: 2059/1048 B#\ Ck
78: 2077/1048 B# C\
79: 2/1 C

----- Original Message -----
From: Mohajeri Shahin
To: tuning@yahoogroups.com
Sent: 18 Haziran 2006 Pazar 8:06
Subject: [tuning] about a work of cris forster about zarlino and ibnsina

After reading :

http://www.chrysalis-foundation.org/Ibn-Sina_Stifel_&_Zarlino.htm

I noticed that :

1- farabi , Ibn-sina and then zarlino were affected by equal divisions of length system(EDL) which firstly was used by ptolemy .

He used a string length of 120 units (90 for the 4/3, 80/ for the 3/2) to define both individual tetrachords and full octave scales ( thanks to john chalmers for giving me valuable information about this system. They will be uploaded in my site ).

2- using 4:3:2 means 4-EDL , dividing string length of L to 4 equal parts to have 1/1(4/4) , 4/3 ,2/1(4/2) and to have superparticular ratios as

4/3 and 3/2. in 6:4:3 we have 1/1(6/6) , 3/2(6/4) ,2/1(6/3) and superparticulars as 3/2 and 4/3.

3- arithmetic divisions of octave , there , means , arithmetic mean of harmonics In harmonic acoustical series. in 2:3:4 we have 3 as (2+4)/2 : third harmonic lies between second and fourth. And in 4:3:2 then (4+2)/2 . in the first the superpartcular trend is descending and in the next , ascending. In the first we move in direction of harmonic acoustical series and in the next in reverse direction.

Considering divisions , Arithmetic divisions of octave or my term as ADO , is an arithmetic progression with frequency ratios as terms.( EDO has equal frequency ratios as equal divisions) so 3:4:5:6 is 3-ADO besed on third degree of harmonic acoustical series.

So in arithmetic and harmonic mean we use degrees of harmonic acoustical series and not divisions but define divisions og octave or length.

4- so what about geometric mean in 4:?:2

We have (4*2)^(1/2) = 2.8284271247461900976033774484194

So we can have 40:28:20 or 400:282:200 or 4000:2828:2000 with t divisions of 617.488 cent , 582.512cent or 605.166cent and 594.834cent or 600.261cent and 599.834 cent.

We see that we are going to Have EDO.

Shaahin Mohaajeri

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

Dear brother

Yes , and did you see my micro-theory oage about arithmetic irrational
divisions ?

Did you test the spreadsheet ?

Shaahin Mohaajeri

Tombak Player & Researcher , Microtonal Composer

My web site , click picture : <http://240edo.tripod.com/index.html>

My tombak musics in Rhythmweb: www.rhythmweb.com/gdg
<http://www.rhythmweb.com/gdg>

My articles in Harmonytalk:

- www.harmonytalk.com/archives/000296.html
<http://www.harmonytalk.com/archives/000296.html>

- www.harmonytalk.com/archives/000288.html
<http://www.harmonytalk.com/archives/000288.html>

My article in DrumDojo:

www.drumdojo.com/world/persia/tonbak_acoustics.htm
<http://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>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
Of Ozan Yarman
Sent: Friday, June 30, 2006 1:05 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] about a work of cris forster about zarlino and
ibnsina

Brother, did you notice that my latest calibration of 79 MOS 159-tET is
equivalent to 1048 ADO?

(notation is modified SA79)

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

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

To: tuning@yahoogroups.com

Sent: 18 Haziran 2006 Pazar 8:06

Subject: [tuning] about a work of cris forster about zarlino and
ibnsina

After reading :

http://www.chrysalis-foundation.org/Ibn-Sina_Stifel_&_Zarlino.htm

I noticed that :

1- farabi , Ibn-sina and then zarlino were affected by equal
divisions of length system(EDL) which firstly was used by ptolemy .

He used a string length of 120 units (90 for the 4/3, 80/ for
the 3/2) to define both individual tetrachords and full octave scales (
thanks to john chalmers for giving me valuable information about this
system. They will be uploaded in my site ).

2- using 4:3:2 means 4-EDL , dividing string length of L to 4
equal parts to have 1/1(4/4) , 4/3 ,2/1(4/2) and to have superparticular
ratios as

4/3 and 3/2. in 6:4:3 we have 1/1(6/6) , 3/2(6/4) ,2/1(6/3) and
superparticulars as 3/2 and 4/3.

3- arithmetic divisions of octave , there , means , arithmetic
mean of harmonics In harmonic acoustical series. in 2:3:4 we have 3 as
(2+4)/2 : third harmonic lies between second and fourth. And in 4:3:2
then (4+2)/2 . in the first the superpartcular trend is descending and
in the next , ascending. In the first we move in direction of harmonic
acoustical series and in the next in reverse direction.

Considering divisions , Arithmetic divisions of octave or my
term as ADO , is an arithmetic progression with frequency ratios as
terms.( EDO has equal frequency ratios as equal divisions) so 3:4:5:6 is
3-ADO besed on third degree of harmonic acoustical series.

So in arithmetic and harmonic mean we use degrees of harmonic
acoustical series and not divisions but define divisions og octave or
length.

4- so what about geometric mean in 4:?:2

We have (4*2)^(1/2) = 2.8284271247461900976033774484194

So we can have 40:28:20 or 400:282:200 or 4000:2828:2000 with t
divisions of 617.488 cent , 582.512cent or 605.166cent and
594.834cent or 600.261cent and 599.834 cent.

We see that we are going to Have EDO.

Shaahin Mohaajeri

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

Brother, I have finally had time to look at the spreadsheet. However, as I am writing my thesis, I could not concentrate very much into the details. Maybe you can illuminate them?

Cordially,
Oz.

----- Original Message -----
From: Mohajeri Shahin
To: tuning@yahoogroups.com
Sent: 03 Temmuz 2006 Pazartesi 5:18
Subject: RE: [tuning] about a work of cris forster about zarlino and ibnsina

Dear brother

Yes , and did you see my micro-theory oage about arithmetic irrational divisions ?

Did you test the spreadsheet ?

Shaahin Mohaajeri

Tombak Player & Researcher , Microtonal Composer

My web site , click picture :

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

- An experiment in Iranian homayun and chahargah modes by Mohajeri Shahin

------------------------------------------------------------------------------

🔗Carl Lumma <clumma@yahoo.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

Dear ozan

The spreadsheet is about arithmetic irrational divisions which covers octavic , non-octavc system or systems based on arithmetic irrational divisions of intervals.
Its basis is arithmetic progression , you define :
1- size of sum of terms ( divisions)=Sn
2- size of the first term = A1
3- size of common difference = d
4- number of divisions =n

You can reach to EDO or EDNO by d=0 and A1=A2=A3=.....=Sn/n

See that how can you get the simulation of your 79 tone system.

Shaahin Mohaajeri
Tombak Player & Researcher , Microtonal Composer
My web site , click picture :
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
- An experiment in Iranian homayun and chahargah modes by Mohajeri Shahin
-----Original Message-----
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Ozan Yarman
Sent: Tuesday, August 01, 2006 10:03 AM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Re: about a work of cris forster about zarlino and ibnsina

Thanks!

----- Original Message -----
From: "Carl Lumma" <clumma@yahoo.com>
To: <tuning@yahoogroups.com>
Sent: 01 Ağustos 2006 Salı 9:05
Subject: [tuning] Re: about a work of cris forster about zarlino and ibnsina

> --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@...> wrote:
> > Brother, I have finally had time to look at the spreadsheet.
> > However, as I am writing my thesis, I could not concentrate
> > very much into the details.
>
> Good luck on your thesis-writing, Oz!
>
> -Carl
>
>
>

You can configure your subscription by sending an empty email to one
of these addresses (from the address at which you receive the list):
tuning-subscribe@yahoogroups.com - join the tuning group.
tuning-unsubscribe@yahoogroups.com - leave the group.
tuning-nomail@yahoogroups.com - turn off mail from the group.
tuning-digest@yahoogroups.com - set group to send daily digests.
tuning-normal@yahoogroups.com - set group to send individual emails.
tuning-help@yahoogroups.com - receive general help information.

Yahoo! Groups Links

about a work of cris forster about zarlino and ibnsina

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

🔗Cris Forster <cris.forster@comcast.net>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Carl Lumma <clumma@yahoo.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

🔗yahya_melb <yahya@melbpc.org.au>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>