Wolfram Alpha

I am working on mapping the harmonic series into my midi piano and I wanted to see how close to JI I ended up. (I'm currently trying to duplicate the Michael Harrison sound sort of)

It seems that Wolfram Alpha is able to give reasonable answers to questions like fraction closest to 1.125

http://www.wolframalpha.com/input/?i=fraction+closest+to+1.125

Not sure it is universal yet - just thought I'd pass that along.

Chris

--- In tuning@yahoogroups.com, "christopherv" <chrisvaisvil@...> wrote:
>
> I am working on mapping the harmonic series into my midi piano
> and I wanted to see how close to JI I ended up. (I'm currently
> trying to duplicate the Michael Harrison sound sort of)
>
> It seems that Wolfram Alpha is able to give reasonable answers
> to questions like fraction closest to 1.125
>
> http://www.wolframalpha.com/input/?i=fraction+closest+to+1.125
>
> Not sure it is universal yet - just thought I'd pass that along.
>
> Chris

Good to know, but can't you just use fractions from the
harmonic series directly without bothering with decimal
conversion?

-Carl

That is not how I am approaching it. I'm working backwards from a
fixed pitch in order to generate a map into the piano.

My first approximation is not surprising though.

1/1    17/16    9/8    19/16    5/4    11/8    23/16    3/2    13/8
27/16    7/4    15/8
C       C#        D       D#       E       F       F#        G
G#       A       A#       B

I guess I'll try this as a scala file tomorrow.

chris

I worked with harmonics 1 through 32 and tossed out harmonics 21 and 29

I'll try this tomorrow as a scala file and see how it sounds..

Chris

On Thu, Aug 26, 2010 at 10:26 PM, Carl Lumma <carl@...> wrote:
>
>
>
> --- In tuning@yahoogroups.com, "christopherv" <chrisvaisvil@...> wrote:
> >
> > I am working on mapping the harmonic series into my midi piano
> > and I wanted to see how close to JI I ended up. (I'm currently
> > trying to duplicate the Michael Harrison sound sort of)
> >
> > It seems that Wolfram Alpha is able to give reasonable answers
> > to questions like fraction closest to 1.125
> >
> > http://www.wolframalpha.com/input/?i=fraction+closest+to+1.125
> >
> > Not sure it is universal yet - just thought I'd pass that along.
> >
> > Chris
>
> Good to know, but can't you just use fractions from the
> harmonic series directly without bothering with decimal
> conversion?
>
> -Carl
>
>