Tables for Pitchbend to Cents

I need a table of Pitchbend to 12tet Cents equivalents for the various semitone
ranges available for Pitch Bend Sensitivity which is the MIDI Registered
Parameter Number 0 (i.e. CC101=0 [MSB] and CC100=0 [LSB]).

Does anyone have such a table available, which I suspect is _not_ linear (or I
wouldn't ask since I could figure such values in any spreadsheet which
indeed I already have)? I want values which have been verified at least by
actual frequency tuning analysis for _every_ Pitchbend value (-8192 to +8192)
among _every_ "sensitivity" (1-12 semitone range) setting.

If anyone knows that these values are indeed logarithmic in respect to a
certain _applied formula_, I would prefer to know that formula _most of all_ of
course.

-------------
Benjamin Tubb
brtubb@cybertron.com

On Tue, 26 May 1998, Just Intonation wrote:
> Absolute Successive
> Pitch Frequency Ratio Ratio
> C4 400 1/1
> 6/5
> D#4 480 6/5
> 9/8
> F4 540 27/20
> 10/9
> G4 600 3/2
> 6/5
> A#4 720 9/5
> 10/9
> C5 800 2/1

(a) Why do you call them D# and A#? By traditional nomenclature,
especially given the ratios you've chosen, they should be Eb and Bb.

(b) Why do you use 27/20 instead of 4/3 for F? Does it always sound
against Bb and never against C?

> I was curious whether this scale corresponded to one in any other
> culture or historical period, that anybody knew of. Thanks.

The major pentatonic scale (with various tones as the root) comes up in
so many different situations I don't know if there'd be any point in
naming them all. It would be a big effort to try, although I wouldn't
be surprised if Manuel Op de Coul didn't already have them all in a list
or database somewhere.

--pH http://library.wustl.edu/~manynote
O
/\ "Churchill? Can he run a hundred balls?"
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