Newly Designed System for 41tet Composition.

http://tinyurl.com/2e8n6dk

Includes Tuning Tables and Guideline for Counterpoint/Voice-leading.

Constructive and honest criticism welcome.

-- In tuning-math@yahoogroups.com, "robert" <robertthomasmartin@...> wrote:
>
> http://tinyurl.com/2e8n6dk
>
> Includes Tuning Tables and Guideline for Counterpoint/Voice-leading.
>
> Constructive and honest criticism welcome.
>

I once had a short discussion with Ozan Yarman about keyboard mappings for 41edo, on the tuning list.
Result was a mapping with the following properties:

One 12-key subset with pythagorean-style major thirds between
C-E and F-A, a 5-limit-style major third between G and B , and a
3-limit minor seventh between C and Bb.

Using two identical mapping of this kind one 41edo step apart (to be played on two keyboards or one in "split" mode where the upper and the lower half send to different midi channels), it is possible to play a number of pure major thirds, a number of harmonic sevenths (7/4) and also a number of neutral thirds. This is suited for maqams.

This can be extended to play all 41 notes (to be played on 4 keyboards or 2 keyboards with 2 split areas - or one keyboard with 4 split areas), with the properties:
1) 4 identical layouts, the difference between each one 41EDO step.
2) All notes are not more than 63 cents away from standard 12edo.

Details can be found on /tuning/topicId_73151.html#74182

In the late 1980's I used to have two mini Yamaha keyboards sitting on top of each other and tuned 50 cents apart (or other intervals). Many microtonalists apparently used similar methods with their experiments.
Concerning the Tuning Tables in my article:
The just, pyth and sept tunings can be played on +/- 63 cent devices.
The sun and moon tunings can be played on +/- 99 cent devices.
The star tuning table requires a +/- 102 cent device but a +/- 99 cent device will do.
The cloud tuning requires a +/- 132 cent device.
The device I use (Kurzweil K2500R) can quite easily handle all of these tunings.

--- In tuning-math@yahoogroups.com, "hstraub64" <straub@...> wrote:
>
>
>
>
>
>
> -- In tuning-math@yahoogroups.com, "robert" <robertthomasmartin@> wrote:
> >
> > http://tinyurl.com/2e8n6dk
> >
> > Includes Tuning Tables and Guideline for Counterpoint/Voice-leading.
> >
> > Constructive and honest criticism welcome.
> >
>
> I once had a short discussion with Ozan Yarman about keyboard mappings for 41edo, on the tuning list.
> Result was a mapping with the following properties:
>
> One 12-key subset with pythagorean-style major thirds between
> C-E and F-A, a 5-limit-style major third between G and B , and a
> 3-limit minor seventh between C and Bb.
>
> Using two identical mapping of this kind one 41edo step apart (to be played on two keyboards or one in "split" mode where the upper and the lower half send to different midi channels), it is possible to play a number of pure major thirds, a number of harmonic sevenths (7/4) and also a number of neutral thirds. This is suited for maqams.
>
> This can be extended to play all 41 notes (to be played on 4 keyboards or 2 keyboards with 2 split areas - or one keyboard with 4 split areas), with the properties:
> 1) 4 identical layouts, the difference between each one 41EDO step.
> 2) All notes are not more than 63 cents away from standard 12edo.
>
> Details can be found on /tuning/topicId_73151.html#74182
>

Dear Hans---I've added Any-fit tuning tables to my article in order to accomodate the best of Middle Eastern music theory. This addition will be further expanded in the near future. Thankyou.

--- In tuning-math@yahoogroups.com, "hstraub64" <straub@...> wrote:
>
>
>
>
>
>
> -- In tuning-math@yahoogroups.com, "robert" <robertthomasmartin@> wrote:
> >
> > http://tinyurl.com/2e8n6dk
> >
> > Includes Tuning Tables and Guideline for Counterpoint/Voice-leading.
> >
> > Constructive and honest criticism welcome.
> >
>
> I once had a short discussion with Ozan Yarman about keyboard mappings for 41edo, on the tuning list.
> Result was a mapping with the following properties:
>
> One 12-key subset with pythagorean-style major thirds between
> C-E and F-A, a 5-limit-style major third between G and B , and a
> 3-limit minor seventh between C and Bb.
>
> Using two identical mapping of this kind one 41edo step apart (to be played on two keyboards or one in "split" mode where the upper and the lower half send to different midi channels), it is possible to play a number of pure major thirds, a number of harmonic sevenths (7/4) and also a number of neutral thirds. This is suited for maqams.
>
> This can be extended to play all 41 notes (to be played on 4 keyboards or 2 keyboards with 2 split areas - or one keyboard with 4 split areas), with the properties:
> 1) 4 identical layouts, the difference between each one 41EDO step.
> 2) All notes are not more than 63 cents away from standard 12edo.
>
> Details can be found on /tuning/topicId_73151.html#74182
>

Google groups will be deleting this 41tet article on the 1st Feb 2011 so interested persons might want to print it out for reference purposes since there is so little 41tet empirical data on the internet which can be favorably demonstrated under strictly controlled laboratory conditions.

--- In tuning-math@yahoogroups.com, "robert" <robertthomasmartin@...> wrote:
>
> http://tinyurl.com/2e8n6dk
>
> Includes Tuning Tables and Guideline for Counterpoint/Voice-leading.
>
> Constructive and honest criticism welcome.
>