Origins of the JI "Lattice Diagram" Concept?

With a background in mechanical engineering and
drafting, and considering the pathetic state of
conventional 12EDO musical structural graphic
representations, I'm extremely leery of "buying into"
any alternative tuning notation system/convention
without completely understanding/agreeing with the
underlying logic of it.

Where/with who did the JI lattice diagram concept
originate? Thanks.

Bill Flavell

On 3/22/06, Bill Flavell <bill_flavell@email.com> wrote:
>
> With a background in mechanical engineering and
> drafting, and considering the pathetic state of
> conventional 12EDO musical structural graphic
> representations, I'm extremely leery of "buying into"
> any alternative tuning notation system/convention
> without completely understanding/agreeing with the
> underlying logic of it.
>
> Where/with who did the JI lattice diagram concept
> originate? Thanks.

I guess you could say Euclid started the ball rolling when he proved
the Fundamental Theorem of Arithmetic.

Keenan

--- In tuning@yahoogroups.com, "Bill Flavell" <bill_flavell@...> wrote:

> Where/with who did the JI lattice diagram concept
> originate? Thanks.

It goes back to Euler in general terms. The specific triangular
lattice of 5-limit pitch classes is due to Hugo Riemann and Shohé
Tanaka in the nineteenth century.