The following table provides frequency ratios for intervals up to an octave:
ASCENDING INTERVAL  :                   | DESCENDING INTERVALS :
Interval  Freqency ratio                | Interval  Frequency ratio 
-------    ------------                 |  ------   --------     
unison       1 : 1                      |  unison     1 : 1             
m2           1 : 1.059                  |  m2         1 : .943          
M2           1 : 1.122                  |  M2         1 : .8909         

m3           1 : 1.189                  |  m3         1 : .84           
M3           1 : 1.26                   |  M3         1 : .7937         

P4           1 : 1.334                  |  P4         1 : .749          
aug4/dim5    1 : 1.4142                 |  aug4/dim5  1 : .707          
P5           1 : 1.498                  |  P5         1 : .667          
                                        |
m6           1 : 1.587                  |  m6         1 : .63           
M6           1 : 1.682                  |  M6         1 : .595          
                                        |
m7           1 : 1.7818                 |  m7         1 : .561          
M7           1 : 1.887                  |  M7         1 : .530          
Octave       1 : 2                      |  Octave     1 : .5
----------------------------------------------------------------------
For ascending intervals greater than an octave, multiply the INTEGER portion
of the Frequency ratio by 2 for each successive octave (1, 2, 4, 8, etc.)
   Examples: a minor tenth up = 2.189  
             2 octaves + a tritone up = 4.4142 
For descending intervals greater than an octave, divide the Freq. ratio by
 2 (if between 1 and 2 octaves), by 4 (if between 2 & 3 octaves), and so on.
    Examples: an octave plus a perfect 4th down = .3745  ( .749/2 )
              2 octaves plus a minor 3rd down = .21  ( .84/4 )
