Symmetrical scales have a strictly regular structure with respect to the intervals between their notes. Expressed as sequences of semitones and whole tones, the following formulas apply:
Half step/whole step
½
1
½
1
½
1
½
1
Whole step/half step
1
½
1
½
1
½
1
½
Whole tone
1
1
1
1
1
1
Diminished
1½
1½
1½
1½
Augmented
2
2
2
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Fingerings of the symmetrical scale
Symmetrical scales have a strictly regular structure with respect to the intervals between their notes. Expressed as sequences of semitones and whole tones, the following formulas apply: