Hemitonia describes how many such hemitones exist.Ī cohemitone is an instance of two adjacent hemitones. If a scale is chiral, then it has an enantiomorph.Ī hemitone is two tones separated by a semitone interval. Notably an axis of reflection can occur directly on a tone or half way between two tones.Ī palindromic scale has the same pattern of intervals both ascending and descending.Ī chiral scale can not be transformed into its inverse by rotation. It also implies that the scale has Ridge Tones. If a scale has an axis of reflective symmetry, then it can transform into itself by inversion. If there are any rotational symmetries, these are the intervals of periodicity. Some scales have rotational symmetry, sometimes known as 'limited transposition'. The tones in this scale, expressed as numbers from 0 to 11Ī code assigned by theorist Allen Forte, for this pitch class set and all of its transpositional (rotation) and inversional (reflection) transformations.

Cardinality is the count of how many pitches are in the scale.

B flat mixolydian scale major scale