قث :Re: Mohajeri Shahin's 24-EDL piece

Hi all

Firstly many thanks to dear margo and Aaron for their kindly encouragement.

Margo wrote :

<< First, please let me be sure that I've clarified that Peppermint is a

temperament rather different than the kind of just EDL system you are

discussing in terms of fretting ratios, although it has close

approximations of EDL ratios such 14:13:12 or 13:12:11.>>

yes , obviously.--

<< John Chalmers investigated this, and pointed out that while

people like Kathleen Schlesinger and Elsie Hamilton focused on an

arithmetic series, Ptolemy and other Greek theorists seem very focused

on tetrachords. John therefore suggested the use of "triaphonic"

scales, for example, which combine the two approaches, like this

17-note example from the Scala archives:>>

-- in my private mailing with john chalmers , he told me about history of EDL and works of wilson on diaphonic scale.

I told him about multi-edl structure of diaphonic. And this triaphonic :

28/27

14/13

28/25

7/6

28/23

14/11

4/3

112/81

56/39

112/75

14/9

21/13

42/25

7/4

42/23

21/11

2/1

So this multi-edl structure is based on steps of 28-edl. have a look to steps:

1: 28/27 62.961 Archytas' 1/3-tone

2: 27/26 65.337 tridecimal comma

3: 26/25 67.900

4: 25/24 70.672 classic chromatic semitone, minor chroma

5: 24/23 73.681

6: 23/22 76.956

7: 22/21 80.537 undecimal minor semitone

8: 28/27 62.961 Archytas' 1/3-tone

9: 27/26 65.337 tridecimal comma

10: 26/25 67.900

11: 25/24 70.672 classic chromatic semitone, minor chroma

12: 27/26 65.337 tridecimal comma

13: 26/25 67.900

14: 25/24 70.672 classic chromatic semitone, minor chroma

15: 24/23 73.681

16: 23/22 76.956

17: 22/21 80.537 undecimal minor semitone.

So we can see two intervallic fractures and disjunctions in system. But in diaphonic of wilson we have one fracture.

Shaahin Mohaajeri

Tombak Player & Researcher , Composer

My web site : http://240edo.tripod.com/index.html <blocked::http://240edo.tripod.com/index.html>

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 <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>

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