A symmetrical scale has a strictly regular structure with respect to the intervals between its notes. Expressed as a sequence of semitone and whole tone, the following formula applies:
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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Fingering of the Symmetrical Scale
A symmetrical scale has a strictly regular structure with respect to the intervals between its notes. Expressed as a sequence of semitone and whole tone, the following formula applies: