cents to ratios

Is there an applet/calculator that converts cents to ratios on the
net?

thanks
alex

--- In MakeMicroMusic@yahoogroups.com, "mentalosmosis"
<mentalosmosis@y...> wrote:
> Is there an applet/calculator that converts cents to ratios on the
> net?
>
> thanks
> alex

i just created one in Microsoft Excel and put it in the
files section of this list:

/makemicromusic/files/monz/cents-to-
ratio_converter.xls

or

http://tinyurl.com/v92b

you input the cents value into the blue cells, and the
output to the right of that is given as ratio fractions,
whose terms have from 1 to 7 digits of precision in each
successive column.

the example cents-values i used show how the rational
approximations change depending on the precision you use
in your cents-value.

-monz

I entered 251 cents into a cell and your calc gives me a 7/6.

Scala shows this:

Scala version 2.2b Copyright E.F. Op de Coul, the Netherlands, 2003
|
0: 1/1 0.000 unison, perfect prime
1: 37/32 251.344 37th harmonic
2: 7/6 266.871 septimal minor third

????

http://tunesmithy.netfirms.com/japplets/ratios_with_factors.htm

Enter the primes or composite factors you want to permit
- leave that field blank to allow any. Set the ratios tolerance you want.

If you want to find the best ratios and aren't concerned about the prime
limit you can just set the primes or composite factors field blank and
set the tolerance to 0 to find all. For other details see the notes.

This page is also included in the help for Fractal Tune Smithy, for those
who have it, under Help | Musical Note intervals | Find all the best
ratios for a scale in cents

Robert

http://www.robertinventor.com

--- In MakeMicroMusic@yahoogroups.com, "David Beardsley" <db@b...>
wrote:
> I entered 251 cents into a cell and your calc gives me a 7/6.
>
>
> Scala shows this:
>
> Scala version 2.2b Copyright E.F. Op de Coul, the Netherlands, 2003
> |
> 0: 1/1 0.000 unison, perfect prime
> 1: 37/32 251.344 37th harmonic
> 2: 7/6 266.871 septimal minor third
>
>
> ????

this has to do with the digits of precision monz was talking about.
7/6 is the best approximation you can get with ratios of 1-digit
numbers. now try increasing the digits of precision as monz explained.

note also that we know excel has a bug in this feature, as monz
recently used it in a post to one of the lists to "find" 3-digit
ratio approximations for 0 cents that were not equal to 1/1! either
that or monz did something wrong there . . .

--- In MakeMicroMusic@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:
> --- In MakeMicroMusic@yahoogroups.com, "David Beardsley" <db@b...>
> wrote:
> > I entered 251 cents into a cell and your calc gives me a 7/6.
> >
> >
> > Scala shows this:
> >
> > Scala version 2.2b Copyright E.F. Op de Coul, the Netherlands,
2003
> > |
> > 0: 1/1 0.000 unison, perfect prime
> > 1: 37/32 251.344 37th harmonic
> > 2: 7/6 266.871 septimal minor third
> >
> >
> > ????
>
> this has to do with the digits of precision monz was talking about.
> 7/6 is the best approximation you can get with ratios of 1-digit
> numbers. now try increasing the digits of precision as monz
explained.

by which i mean, of course, look at the columns further right.