Robert, I have already described how the software gets around this problem

Robert,

Yes, that does pose a problem. The only way that I can see around
this is if the software had a bank of previously recorded notes which
it could compare to the currently played note. Perhaps, this way it
could group notes into chords instead of tackling individual notes by
themselves. The problem is that individual notes do not contain
enough information for the software or anyone to decide which ratio
is implied. There is definitely a discrete difference between the
8/5 of C (which is 160 Hz when compared to C) and the 5/4 of E (which
is 154 1/4 Hz when compared to E). I know the first step to a
solution of this difficult problem involves the software's usage of
discrete numbers in Hz instead of these vague ratios. I think I know
the problem here. The reason why there is confusion is because we
are having the same physical note represent many other things. This
physical note in one case can be 160 Hz or it can be 154 1/4 Hz.
Perhaps if we had physical notes representing discrete numbers, we
could clear up the confusion. Equal temperament does this by shaving
these two numbers into the same thing. This is where our problem
is. We are trying to treat Two different things (in this case) as
one by using a keyboard designed for 12 equal temperament. The only
two ways I can see any solution is either through a bank in which the
software is able to draw past relations to understand the current one
(unlikely) or for a completely new keyboard design which would have a
separate note for the 8/5 of C and the 5/4 of E. The latter seems
like the only real way. It makes clear sense now that we cannot take
several different things and merge them into "one." This will only
cause confusion not only in the software, but in ourselves as well.
We need to realize that for two different things, there must be two
different keys on the keyboard or apparatus altogether. We must
design a new instrument of the future which allows for these
different identities. I need to, first of all, figure out how many
different identities are there. Equal temperament only disregarded
the problem by cramping these dual identities into one for
convenience and impurity. In this case the 8/5 and the 5/4 are the
same note really. Two separate identities really are not the same,
and until we realize that we will not have purity without each
separate identity, then we will never have purity. ET is not purity,
it is a compromise which minimizes note numbers.

PageWizard

--- In tuning@y..., "PageWizard, Magician of the Caverns"

/tuning/topicId_26831.html#26831

. We are trying to treat Two different things (in this case) as
> one by using a keyboard designed for 12 equal temperament. The
only two ways I can see any solution is either through a bank in
which the software is able to draw past relations to understand the
current one (unlikely) or for a completely new keyboard design which
would have a separate note for the 8/5 of C and the 5/4 of E. The
latter seems like the only real way.

A true just intonation keyboard would really have to have quite a few
extra keys, wouldn't it?? 72-tET comes pretty close, doesn't it...
and that's 6X the "normal..." Perhaps going toward a Bosanquet
design that Monz was thinking about??

_________ ________ ___
Joseph Pehrson