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Conversion formula: 'octave bandwidth' N to quality factor Q:

Conversion formula: Quality factor Q to 'octave bandwidth' N:

A slightly shorter formula to convert quality factor Q to
'octave bandwidth' N, but with logarithmus naturalis:

And the super short formula to convert quality factor Q
to 'bandwidth per octave' N, but with sinh-1 :


Conversion chart or table of 'octave bandwidth' N to quality factor Q:
BW per |
Filter Q |
BW per |
Filter Q |
BW per |
Filter Q |
BW per |
Filter Q |
|||
| 1/80 | 115.4 | 1 | 1.41 | 4 | 0.267 | 7 | 0.089 | |||
| 1/60 | 86.6 | 1 1/4 | 1.12 | 4 1/4 | 0.242 | 7 1/4 | 0.082 | |||
| 1/50 | 72.1 | 1 1/3 | 1.04 | 4 1/3 | 0.234 | 7 1/3 | 0.079 | |||
| 1/40 | 57.7 | 1 1/2 | 0.92 | 4 1/2 | 0.220 | 7 1/2 | 0.075 | |||
| 1/30 | 43.3 | 1 2/3 | 0.82 | 4 2/3 | 0.207 | 7 2/3 | 0.071 | |||
| 1/25 | 36.1 | 1 3/4 | 0.78 | 4 3/4 | 0.200 | 7 3/4 | 0.068 | |||
| 1/20 | 28.9 | 2 | 0.67 | 5 | 0.182 | 8 | 0.063 | |||
| 1/16 | 23.1 | 2 1/4 | 0.58 | 5 1/4 | 0.166 | 8 1/4 | 0.058 | |||
| 1/12 | 17.3 | 2 1/3 | 0.56 | 5 1/3 | 0.161 | 8 1/3 | 0.056 | |||
| 1/10 | 14.4 | 2 1/2 | 0.51 | 5 1/2 | 0.152 | 8 1/2 | 0.053 | |||
| 1/8 | 11.5 | 2 2/3 | 0.47 | 5 2/3 | 0.143 | 8 2/3 | 0.050 | |||
| 1/6 | 8.7 | 2 3/4 | 0.45 | 5 3/4 | 0.139 | 8 3/4 | 0.048 | |||
| 1/5 | 7.2 | 3 | 0.40 | 6 | 0.127 | 9 | 0.044 | |||
| 1/4 | 5.8 | 3 1/4 | 0.36 | 6 1/4 | 0.116 | 9 1/4 | 0.041 | |||
| 1/3 | 4.3 | 3 1/3 | 0.35 | 6 1/3 | 0.113 | 9 1/3 | 0.039 | |||
| 1/2 | 2.9 | 3 1/2 | 0.33 | 6 1/2 | 0.106 | 9 1/2 | 0.037 | |||
| 2/3 | 2.1 | 3 2/3 | 0.30 | 6 2/3 | 0.100 | 9 2/3 | 0.035 | |||
| 3/4 | 1.9 | 3 3/4 | 0.29 | 6 3/4 | 0.097 | 9 3/4 | 0.034 | |||
| 10 | 0.031 |
Papers and tables in German:
Interrelationship of 'octave bandwidth' N and the quality factor Q
Questions on "Parametric filter adjustment"
Presence and absence filters - formulas for Q and N
Conversion table Q to N and N to Q for parametric filters
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