Harmonic Series Question - Calc Formula?

Harmonic Series Question - Calc Formula?

Hi, I'm trying to understand a weird sort ot math,
music related problem. Wondering if anyone out there
may be able to assist with ideas, possible formulas
for computing, deriving values and feedback;

A range of 22 values exist. Conceptually the values
comprise a sort of harmonic series, or possibly an
irregular scale or octave.

We only know two values in the range of 22.

From these two values we want to derive the other
possible remaining twenty values;

1.842030768
3.2

We also want to determine what the relationship is
between the two values interval wise;

For instance, if we say 1.842030768 is the 1/1 of the
scale, what interval would we associate 3.2 with?

Or alternatively from a different perspective, if we
have only these two values, and we know they belong to
a scale of twenty two irregular notes but we do not
know the values of the other notes or intervals how do
we compute them based on these values, would we say
that 1.842030768 is closest to a minor 7th and 3.2
a minor 6th an octave up?

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Well... to my ear, that interval would sound basically like a 7/4.
(3.2/1.842.. = 1.737...) A higher ratio interpretation could be
40/23. If you divide the 3.2 by 2 to arrive at it's lower octave,
then divide the 1.842 by that (1.6), you arrive at a very sharp 3/2
(1.512...). I'm not sure why you want to use those particular
numbers, and why 22?

Robin

--- In MakeMicroMusic@yahoogroups.com, Dan Amateur <xamateur_dan@...>
wrote:
>
> Harmonic Series Question - Calc Formula?
>
> Hi, I'm trying to understand a weird sort ot math,
> music related problem. Wondering if anyone out there
> may be able to assist with ideas, possible formulas
> for computing, deriving values and feedback;
>
>
> A range of 22 values exist. Conceptually the values
> comprise a sort of harmonic series, or possibly an
> irregular scale or octave.
>
> We only know two values in the range of 22.
>
> From these two values we want to derive the other
> possible remaining twenty values;
>
> 1.842030768
> 3.2
>
> We also want to determine what the relationship is
> between the two values interval wise;
>
> For instance, if we say 1.842030768 is the 1/1 of the
> scale, what interval would we associate 3.2 with?
>
> Or alternatively from a different perspective, if we
> have only these two values, and we know they belong to
> a scale of twenty two irregular notes but we do not
> know the values of the other notes or intervals how do
> we compute them based on these values, would we say
> that 1.842030768 is closest to a minor 7th and 3.2
> a minor 6th an octave up?
>
>
> __________________________________________________
> Do You Yahoo!?
> Tired of spam? Yahoo! Mail has the best spam protection around
> http://mail.yahoo.com
>

Whoops... combine not wearing my reading glasses with a touch of
dyslexia.. that's not 1.51... that's 1.151.. (doh!) That's not a
sharp 3/2, but a sharp 8/7 (or 23/20, if you prefer).

--- In MakeMicroMusic@...m, "Robin Perry" <jinto83@...>
wrote:
>
> Well... to my ear, that interval would sound basically like a 7/4.
> (3.2/1.842.. = 1.737...) A higher ratio interpretation could be
> 40/23. If you divide the 3.2 by 2 to arrive at it's lower octave,
> then divide the 1.842 by that (1.6), you arrive at a very sharp 3/2
> (1.512...). I'm not sure why you want to use those particular
> numbers, and why 22?
>
> Robin
>
>
> --- In MakeMicroMusic@yahoogroups.com, Dan Amateur <xamateur_dan@>
> wrote:
> >
> > Harmonic Series Question - Calc Formula?
> >
> > Hi, I'm trying to understand a weird sort ot math,
> > music related problem. Wondering if anyone out there
> > may be able to assist with ideas, possible formulas
> > for computing, deriving values and feedback;
> >
> >
> > A range of 22 values exist. Conceptually the values
> > comprise a sort of harmonic series, or possibly an
> > irregular scale or octave.
> >
> > We only know two values in the range of 22.
> >
> > From these two values we want to derive the other
> > possible remaining twenty values;
> >
> > 1.842030768
> > 3.2
> >
> > We also want to determine what the relationship is
> > between the two values interval wise;
> >
> > For instance, if we say 1.842030768 is the 1/1 of the
> > scale, what interval would we associate 3.2 with?
> >
> > Or alternatively from a different perspective, if we
> > have only these two values, and we know they belong to
> > a scale of twenty two irregular notes but we do not
> > know the values of the other notes or intervals how do
> > we compute them based on these values, would we say
> > that 1.842030768 is closest to a minor 7th and 3.2
> > a minor 6th an octave up?
> >
> >
> > __________________________________________________
> > Do You Yahoo!?
> > Tired of spam? Yahoo! Mail has the best spam protection around
> > http://mail.yahoo.com
> >
>