Yahoo Tuning Groups Ultimate Backup tuning EDL and ADO

Hi charles and Mark

FOr EDL and ADO :
http://240edo.googlepages.com/equaldivisionsoflength(edl) and things about its historic background.

http://240edo.googlepages.com/arithmeticrationaldivisionsofoctave

and other models in : http://240edo.googlepages.com/sometuningmodels

charles , Thanks a lot for information . I know Donald Bousted and have seen its 48-EDO charts but glad to see salinas website.

and 96-EDO is not dead for me(-;

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

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

My farsi page in Harmonytalk صفحه 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>

________________________________

From: Charles Lucy [mailto:lucy@harmonics.com]
Sent: Thursday, July 05, 2007 3:14 AM
To: Mohajeri Shahin
Subject: What is/are EDL(s)????

Hi Mohajeri;

I've been looking at you .xls file from today's link.

I have the same question as Mark Rankin.

"What the F... are EDL's?

BTW

You may be interested in a similar .xls that I constructed experimentally about ten years ago to analyse edo's and meantone.

You can download it from the link at the bottom of this page:

http://www.lucytune.com/tuning/equal_temp.html

Also you will be pleased to know that Tony Salinas, and Donald Bousted have both been also been playing with 96edo.

http://www.donaldbousted.pwp.blueyonder.co.uk/index.htm

http://www.tonysalinas.com

My personal view is that 96 edo is a "dead-end" system, as it perpetuates the obvious problems of 12 edo, and compounds them.

Each to their own;-)

Best wishes

Charles Lucy lucy@lucytune.com

----- Promoting global harmony through LucyTuning -----

For information on LucyTuning go to: http://www.lucytune.com

LucyTuned Lullabies (from around the world):
http://www.lullabies.co.uk

Skype user = lucytune

http://www.myspace.com/lucytuning

On 4 Jul 2007, at 13:00, Mohajeri Shahin wrote:

Hi dear Cameron Bobro

I have uploaded an excel spreadsheet to approximate any EDO with any EDL system:
http://240edo.googlepages.com/EDOandEDL.xls <http://240edo.googlepages.com/EDOandEDL.xls>

For any constant string length you can find also place of any fret of any EDO according to this simulation.
612-EDL approximate very good 53-EDO with errors between -2 and +2.5 cent.

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

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

My farsi page in Harmonytalk صفحه 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>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Cameron Bobro
Sent: Wednesday, July 04, 2007 1:01 PM
To: tuning@yahoogroups.com
Subject: [tuning] 612 Newton's, was 53 drawing, as an extension of Re: pseudo-Odo _dialogus_

Servus Andreas,

Yes those sources state that the 612 refers to equal divisions of
the octave, but what about this "coincidence":

1/1---------------0.000
-----------------------------------
181.132 cents 181.132
612/551 181.775
=0.643 cents difference
-------------------------------------
203.774 cents 203.774
9/8 203.910
=0.136 cents difference
-------------------------------------
294.340 cents 294.340
51/43 295.393
=1.053 cents difference
--------------------------------------
306/245 384.900
384.906 cents 384.906
=.006 cents difference
--------------------------------------
4/3 498.045
498.113 cents 498.113
=.068 cents difference
--------------------------------------
153/109 587.044
588.679 cents 588.679
=1.635 cents difference
--------------------------------------
679.245 cents 679.245
612/413 680.868
=1.623 cents difference
---------------------------------------
701.887 cents 701.887
3/2 701.955
=.068 cents difference
--------------------------------------
792.453 cents 792.453
68/43 793.438
=0.985 cents difference
--------------------------------------
883.019 cents 883.019
612/367 885.302
(886.020 cents 886.020)
=2.283 cents difference (0.718 from 77/76 stepsize)
--------------------------------------
204/121 904.275
905.660 cents 905.660
=1.385 cents difference
-------------------------------------
996.226 cents 996.226
153/86 997.348
=1.122 cents difference
--------------------------------------
204/109 1085.089
1086.792 cents 1086.792
=1.703 cents difference
-------------------------------------
1177.358 cents 1177.358
306/155 1177.516
=0.158 cents difference
-------------------------------------

53-equal is represented in cents, and the ratios are all from 612
equal divisions of a string length.

I knew before calculating this that it would work out this way, that
612 equal divisions of length gives a simple, practical and very
accurate way to fret 53 "equal" (whether its truly equal, or
rationally concieved). How? Common sense (what's with the sudden
leap in size of the supposedly equal divisions?) and by immediately
noticing that the "612" is the "same" as the 196-EDL Werckmeister
used (as detailed by Tom Dent here); it is the "same" in a certain
very simple rules-of-thumb-for-craftsmen kind of way.

So I suspect that the 53 does refer to equal divisions, but the 612
refers to a practical way of marking a monochord in order to get
that tuning.

-Cameron Bobro

--- In tuning@yahoogroups. <mailto:tuning%40yahoogroups.com> com <mailto:tuning%40yahoogroups.com> , "Andreas Sparschuh" <a_sparschuh@...>
wrote:
>
> --- In tuning@yahoogroups. <mailto:tuning%40yahoogroups.com> com <mailto:tuning%40yahoogroups.com> , "Cameron Bobro" <misterbobro@>
> asked:
> > tell me what you think the "612"
> > refers to.
> >
> Dear Cameron,
> here literature
> about N's 612 division:
> http://www.bach- <http://www.bach-cantatas.com/Topics/Genius.htm> cantatas.com/Topics/Genius.htm <http://www.bach-cantatas.com/Topics/Genius.htm>
>
> "Newton played pretty well the viola, and invented for instance in
> tuning theory the 612-division of the octave.
> Lit: new Grove 2nd Ed. Vol.17 p.815-4"
>
>
> Mark Lindley, in
> "Geschichte der Musik-Thorie" (History of music-theory)
> in his article
> "Stimmung und Temperatur" , Darmstadt 1987
> ISBN 3-534-01206-2 (Band/Vol. 6)
> "Hören, Messen und Rechnen in der frühen Neuzeit"
> refers in his review of N's paper short to 612 on p. 206:
> "Er (N.) beschäftigt sich dann mit der Teilung der Oktave in
> 20, 24, 25, 29, 36, 41, 53, 60, 100, 120 und 612 gleiche Teile,
> entscheidet sich für die 53tönige Teilung als die beste und gibt
das
> in Abb.30 wiedergebene Diagramm"
>
> 'He (N.) then considers divisions of the octave into .... and 612
> parts, opts for 53tone div. as the best and presents the
> Diagramm in Fig.30b.'
>
> Has anybody here in that group access to N's original paper?
>
> The next reference that i found on that
> in my tuning-libary in:
> http://diapason. <http://diapason.xentonic.org/ttl/ttl04.html> xentonic.org/ttl/ttl04.html <http://diapason.xentonic.org/ttl/ttl04.html>
> p.68
> "....represent 1/51 of an E.T. semitone, the whole system
> constitute a div. of the octave into 612 equal intervals*...
>
> footnote:
> * The importance of this system was pointed out by Captain
J.Herschel,
> R.R.S.
>
> the astronomer:
> http://en.wikipedia <http://en.wikipedia.org/wiki/J._Herschel_> .org/wiki/J._Herschel_ <http://en.wikipedia.org/wiki/J._Herschel_> (crater)
> http://www.answers. <http://www.answers.com/topic/j-herschel> com/topic/j-herschel <http://www.answers.com/topic/j-herschel>
> http://www.solstati <http://www.solstation.com/stars/hj5173ab.htm> on.com/stars/hj5173ab.htm <http://www.solstation.com/stars/hj5173ab.htm>
>
>
> A.S.
>

EDL and ADO

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

🔗Charles Lucy <lucy@harmonics.com>

🔗John H. Chalmers <JHCHALMERS@UCSD.EDU>