Scales are called to be symmetrical if a strictly regular structure regarding their intervals can be established. This applies to the following scales:
Half step/whole step
continuous alternation of semitone/whole tone intervals
Whole step/half step
continuous alternation of whole tone/semitone intervals
Whole tone
exclusively intervals of a whole tone
Diminished
exclusively intervals of a minor third
Augmented
exclusively intervals of a major third
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Intervals of the Symmetrical Scale
Scales are called to be symmetrical if a strictly regular structure regarding their intervals can be established. This applies to the following scales: