[Fwd: Questions about Eikosany, etc. (was Re: MMM and non12comp)]

Subject: Questions about Eikosany, etc. (was Re: MMM and non12comp)
Date: Tue, 30 Nov 2004 12:38:45 -0000
From: Graham Breed <graham@...>
To: MakeMicroMusic-owner@yahoogroups.com

--- In MakeMicroMusic@yahoogroups.com, "Aaron K. Johnson"
<akjmicro@c...> wrote:

> Kraig, I looked at Wilson's notes on these, and was confused. I got that these
> were Fibonacci-related, or quasi-Fibonacci-related, but I don't understand
> how one goes about building a set of JI ratios from this stuff. Can you or
> someone else who understands this give an example?

In case Kraig's explanation wasn't clear...

The recurrent sequence gives you your JI ratios. So, if you take the
straight Fibonacci sequence

1 1 2 3 5 8 13 ...

these are the ratios of your scale.

1:2:3:5:8:13

gives you 6 notes. I think you can make it an octave based scale, so

8:10:12:13

is all you're left with. As frequencies in Hz, that could be

440:550:660:715

Simple, really. The idea is that the primary difference tone between
two notes will also belong to the scale. It's a way of getting the
beatlessness of JI without needing small integer ratios.

Graham

These scales actually beat quite a bit, but the beats are in tune with each other and the scale

Prent Rodgers wrote:

>
>
>Simple, really. The idea is that the primary difference tone between
>two notes will also belong to the scale. It's a way of getting the
>beatlessness of JI without needing small integer ratios.
>
>
> Graham
>
>
>
> >Yahoo! Groups Links
>
>
>
> >
>
>
>
> >

--
Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main.html> 88.9 FM Wed 8-9 pm Los Angeles

To me, it's a kind of "modulatory" JI, a real innovation.

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