Musician's Problem

In music, "scale" is a set of intervals between notes. Intervals can be whole tone and semitone. The scale is called "diatonic", if there are only 2 intervals of semitone, they are not adjacent and the total number of intervals is 7.

For example,

1.Tone Semitone Tone Tone Semitone Tone Tone - is diatonic.

2.Tone Semitone Semitone Tone Tone Tone Tone - isn't diatonic.

3.Tone Semitone Tone Semione Semitone Tone Tone Semitone - isn't diatonic.

So, how many diatonic scales can we make?


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