Pythagorean tuning
The whole chromatic scale (a subset of which is the diatonic scale), can be constructed by starting from a given "base note", and increasing or decreasing its frequency by one or more fifths. This method is identical to Pythagorean tuning, except for the size of the fifth, which is tempered as explained above. The construction table below illustrates how the pitches of the notes are obtained with respect to D (the "base note"), in a D-based scale (see Pythagorean tuning for a more detailed explanation).