Ratio pshycology and walnut rolling.

A while ago, Carl Lumma posted a message, mentioning the characteristic mood
of "fluorescent lightedness" to a certain ratio.

Now, something has struck me.

We can assign any, say:

1.Color,
2.Odor,
3.Flavour,
4.Feeling ect......

to any other perception, based on seemingly unrelated phenomina, and I
thought that this was very interesting......

Take the note ratio:

a/b

Three things matter, these being the frequency a, then frequency b, and the
frequencys ratio.

Perhaps, we could assign a 2D grid of numbers from 1-100, and test their
ratios, mabey getting rid of denominators and numerators which canceled out
to the same ratio, if a's and b's magnitude of frequency was irrelivant.

And, we could then test this grid on subjects, getting them to assign a
color from many, many shades to each ratio.....

Has this been done before, a sort of "ratio synesthesia"?

Would there be a relationship between colors and ratio, and a pattern or a
trend between subjects?

Also, when would a ratio, and another note be percieved as a chord-a triad,
or a ratio-and-another-note?

And we can have a four note chord, or two ratios, or a three not chord and a
note ect......

Another thing to mention is timbre.

When would the ear not actually percieve a difference between notes?

I mean to say, a note of a frequency 5000Hz and another note of a frequency
5000Hz*(2^(4/12)) would be quite noticeable, and fairly harmonious, but that
same note of 5000Hz and another of 5007Hz may not be.

In effect, I am asking:"What is the smallest difference in cents that I can
hear, and how does this change with frequency"?

I am almost certain that this differs with subjects, and a fairly simple
relationship would break down at extremes, (low and high).

There have been some fairly broad attempts to scale and formulae rules for
perception, and psychological awareness of phenomina in the labratory.

Perhaps we could have a 4D graph:

x=frequency a, y=frequency b, z=ratio (actual and true), w=estimated ratio

As a final thought, perhaps it is impossible to formulae relationships,
relationships "chizeled in stone", as it were.

For my last will and testiment, I intend to leave my entire fortune to the
person who can roll a walnut the furtherest distance, measured in a straight
line from a starting point, exceptions made for impossible to move
in/through territorys.

I wounder, what would the graph made from a large statistical sample of:

Mean |
distance walnut rolled |
|
|
|
|
|
|
------------------------

Amount of money offered

Also, how would this differ from a linear relationship, a power coefficient
relationship, and a survey where the question was simply posed, as compared
to not being actually carried out, and the subjects asked to draw their own
graphs.

o \
\ |
+ /

Any ideas?