Yahoo Tuning Groups Ultimate Backup tuning to monzo : about ado systems : RE: [tuning] 243/242 as tuning step, was Re: New Generalized Keyboard

Dear monz

Is it good for tonalsoft to have a page about systems like ADO-ADL-EDL
and so on. Please consider the item ,if so I can send you about them.
This may be is another viewpoint.

Here is an example as found in mail of a_sparschuh :

This scale is in 271-ADO (arithematic divisions of octave):

Ratio of Each degree is 1/271 greater than the previous degree. We can't
find any relation between fifth and fourth as 1200-fifth = fourth in
ados with prime cardinality so for such systems like 271-ado fourth
related to 271-fifth

is in 406-ADO or 203-Ado as 542/406 or 271/203 or in 542-EDL(equal
divisions of length). In 271-edl we havn't any octave so such systems
are non-octavic.

N : D __ Ratio __ cent

271 : 271 __ 1 __ 0

288 : 271 __ 1.062730627 __ 105.3311521

304 : 271 __ 1.121771218 __ 198.9341665

322 : 271 __ 1.188191882 __ 298.5214041

342 : 271 __ 1.26199262 __ 402.8441682

362 : 271 __ 1.335793358 __ 501.2363149

384 : 271 __ 1.41697417 __ 603.3761512

406 : 271 __ 1.498154982 __ 699.824251

432 : 271 __ 1.594095941 __ 807.286153

456 : 271 __ 1.682656827 __ 900.8891674

484 : 271 __ 1.78597786 __ 1004.057035

512 : 271 __ 1.889298893 __ 1101.42115

542 : 271 __ 2 __ 1200

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
<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>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
Of a_sparschuh
Sent: Tuesday, January 17, 2006 7:38 PM
To: tuning@yahoogroups.com
Subject: [tuning] 243/242 as tuning step, was Re: New Generalized
Keyboard

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
.
> I was trying to pin an Arabic label on 243/242 a while back,
Dear Gene
do the same game as with 225/224 or 100/99 last time

A 57,114,228,456 Hz
E 171
B 1,...,512/513 Erasthostens bridge 19=~=3
F# 3
C# 9
G# 27
Eb 81
Bb 121,242/243 bridge 11^2=~=3 here occures the ratio: 243/242
F 181,362/363
C 271,542/543
G 203,406,812/813
D 19,38,76,152,304,608/609
A 57
Division of the
PC=531441/528244=3^12/2^19=
(513/512)(243/242)(363/362)(543/542)(813/812)(608/609)
into 6 superparticular subfactors.

C: 1
C# 288/271
D: 304/271
Eb 322/271
E: 342/271
F: 362/271
F# 384/271
G: 406/271
G# 432/271
A: 456/271
Bb 484/271
B: 512/271
C' 2
sounds best @ middle C=271 Hz or A=456 Hz

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🔗a_sparschuh <a_sparschuh@yahoo.com>

--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...> wrote:
> This scale is in 271-ADO (arithematic divisions of octave):
> N : D __ Ratio __ cent
>
> 271 : 271 __ 1 __ 0
>
> 288 : 271 __ 1.062730627 __ 105.3311521
>
> 304 : 271 __ 1.121771218 __ 198.9341665
>
> 322 : 271 __ 1.188191882 __ 298.5214041
>
> 342 : 271 __ 1.26199262 __ 402.8441682
>
> 362 : 271 __ 1.335793358 __ 501.2363149
>
> 384 : 271 __ 1.41697417 __ 603.3761512
>
> 406 : 271 __ 1.498154982 __ 699.824251
>
> 432 : 271 __ 1.594095941 __ 807.286153
>
> 456 : 271 __ 1.682656827 __ 900.8891674
>
> 484 : 271 __ 1.78597786 __ 1004.057035
>
> 512 : 271 __ 1.889298893 __ 1101.42115
>
> 542 : 271 __ 2 __ 1200
>
1.Many musicians posses absolute pitch for A4=440 Hz frequency,
2.but electric- & double-bass players prefer E1=41 Hz as lowest string
http://www.41hz.com
3.and neo-baroquists want G#=415 Hz as their "Cammerthon" a'=415 Hz.
Here comes an ADO that satifies all that 3 demands in one temperament.

A_1 = 55,110,220,440 Hz start-frequency
E_1 = 41,82,164/165 lowest bass string 41Hz
B_3 = 123
F#4 = 369
C#6 = 1107
G#4 = 415,830,1660,3320/3321 neo-baroque Cammerthone a'=415Hz
Eb4 = 311
B_3 = 233,466,932/933
F_5 = 699
C_3 = 131,262,524,1048,2096/2097
G_1 = 49,98,196,392/393
D_3 = 147
A_4 = 440/441

PC=531441/528244=3^12/2^19=
(165/164)(3321/3320)(1245/1244)(933/932)(2097/2096)(393/392)(441/440)
divsion into 7 epimoric subfactors.

Frequencies in ascending order form middle-C4 on:
C4 262 keyboards center C4
C# 225.175
D4 294
Eb 311
E4 328 = 41*8 that's 3 octaves higher above E1=41Hz
F4 349.5
F# 369
G4 392
G# 415 sound of an neo-baroque cammerthone a' tuning-fork
A4 440 todays norm pitch
Bb 466
B4 492
C5 524 octave above middle-C4

try that out too on your own piano!
in order to hear yourself how it sounds,
if you want to understand my tuning.
It is easy to set, because all tempered 5ths
beat synchron flat @ 60 Metronome strokes/sec.

Theoretical-relative, if C normalized to 1/1:
C ___ 1/1
C# 1107/1048
D _ 147/131
Eb_ 311/262
E _ 164/131
F _ 699/524
F#_ 369/262
G _ 196/131
G#_ 415/262
A _ 220/131
Bb_ 233/131
B _ 246/131
C'___ 2/1

Have a lot of fun with it!
A.S.

🔗monz <monz@tonalsoft.com>

hi Mohajeri,

Yes, i would like to have pages about these terms ...
unfortunately i've been so busy that i skipped the entire
discussion of them here.

If your or anyone else could put together the a text-file
containing the content for webpages explaining these terms,
which i can turn into Tonalsoft Encyclopedia pages with
minimal effort, then i'll be happy to include them, with
all the proper credits. thanks.

-monz
http://tonalsoft.com
Tonescape microtonal music software

--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@k...> wrote:
>
> Dear monz
>
>
>
> Is it good for tonalsoft to have a page about systems like ADO-ADL-EDL
> and so on. Please consider the item ,if so I can send you about them.
> This may be is another viewpoint.
>
>
>
> Here is an example as found in mail of a_sparschuh :
>
> This scale is in 271-ADO (arithematic divisions of octave):
>
> Ratio of Each degree is 1/271 greater than the previous degree. We can't
> find any relation between fifth and fourth as 1200-fifth = fourth in
> ados with prime cardinality so for such systems like 271-ado fourth
> related to 271-fifth
>
> is in 406-ADO or 203-Ado as 542/406 or 271/203 or in 542-EDL(equal
> divisions of length). In 271-edl we havn't any octave so such systems
> are non-octavic.
>
>
>
> N : D __ Ratio __ cent
>
> 271 : 271 __ 1 __ 0
>
> 288 : 271 __ 1.062730627 __ 105.3311521
>
> 304 : 271 __ 1.121771218 __ 198.9341665
>
> 322 : 271 __ 1.188191882 __ 298.5214041
>
> 342 : 271 __ 1.26199262 __ 402.8441682
>
> 362 : 271 __ 1.335793358 __ 501.2363149
>
> 384 : 271 __ 1.41697417 __ 603.3761512
>
> 406 : 271 __ 1.498154982 __ 699.824251
>
> 432 : 271 __ 1.594095941 __ 807.286153
>
> 456 : 271 __ 1.682656827 __ 900.8891674
>
> 484 : 271 __ 1.78597786 __ 1004.057035
>
> 512 : 271 __ 1.889298893 __ 1101.42115
>
> 542 : 271 __ 2 __ 1200
>
>
>
> 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
> <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>
>
>
>
>
>
> ________________________________
>
> From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
> Of a_sparschuh
> Sent: Tuesday, January 17, 2006 7:38 PM
> To: tuning@yahoogroups.com
> Subject: [tuning] 243/242 as tuning step, was Re: New Generalized
> Keyboard
>
>
>
> --- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
> .
> > I was trying to pin an Arabic label on 243/242 a while back,
> Dear Gene
> do the same game as with 225/224 or 100/99 last time
>
> A 57,114,228,456 Hz
> E 171
> B 1,...,512/513 Erasthostens bridge 19=~=3
> F# 3
> C# 9
> G# 27
> Eb 81
> Bb 121,242/243 bridge 11^2=~=3 here occures the ratio: 243/242
> F 181,362/363
> C 271,542/543
> G 203,406,812/813
> D 19,38,76,152,304,608/609
> A 57
> Division of the
> PC=531441/528244=3^12/2^19=
> (513/512)(243/242)(363/362)(543/542)(813/812)(608/609)
> into 6 superparticular subfactors.
>
> C: 1
> C# 288/271
> D: 304/271
> Eb 322/271
> E: 342/271
> F: 362/271
> F# 384/271
> G: 406/271
> G# 432/271
> A: 456/271
> Bb 484/271
> B: 512/271
> C' 2
> sounds best @ middle C=271 Hz or A=456 Hz
>
>
>
>
>
> 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.
>
>
>
>
>
> SPONSORED LINKS
>
> Music education
> <http://groups.yahoo.com/gads?t=ms&k=Music+education&w1=Music+education&
> w2=Music+production+education&w3=Music+education+degree&w4=Degree+educat
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> ________________________________
>
> YAHOO! GROUPS LINKS
>
>
>
> * Visit your group "tuning </tuning>
> " on the web.
>
> * To unsubscribe from this group, send an email to:
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> Service <http://docs.yahoo.com/info/terms/> .
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>
>
> ________________________________
>

🔗Petr Parízek <p.parizek@chello.cz>

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

So u r in 1048-ado .

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
<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>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
Of a_sparschuh
Sent: Wednesday, January 18, 2006 4:56 PM
To: tuning@yahoogroups.com
Subject: 440 Hz, 41Hz,415Hz ADO, was to monzo : about ado systems : RE:
[tuning] 243/242

PC=531441/528244=3^12/2^19=
(165/164)(3321/3320)(1245/1244)(933/932)(2097/2096)(393/392)(441/440)
divsion into 7 epimoric subfactors.

Theoretical-relative, if C normalized to 1/1:
C ___ 1/1
C# 1107/1048
D _ 147/131
Eb_ 311/262
E _ 164/131
F _ 699/524
F#_ 369/262
G _ 196/131
G#_ 415/262
A _ 220/131
Bb_ 233/131
B _ 246/131
C'___ 2/1

Have a lot of fun with it!
A.S.

________________________________

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" on the web.

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