In music

Music

Music is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...

 a distance model is the alternation of two different intervals

Interval (music)

In music theory, an interval is a combination of two notes, or the ratio between their frequencies. Two-note combinations are also called dyads...

 to create a non-diatonic musical mode

Musical mode

In the theory of Western music since the ninth century, mode generally refers to a type of scale. This usage, still the most common in recent years, reflects a tradition dating to the middle ages, itself inspired by the theory of ancient Greek music.The word encompasses several additional...

 such as the 1:3 distance model, the alternation of semitone

Semitone

A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically....

s and minor third

Minor third

In classical music from Western culture, a third is a musical interval encompassing three staff positions , and the minor third is one of two commonly occurring thirds. The minor quality specification identifies it as being the smallest of the two: the minor third spans three semitones, the major...

s: C-E-E-G-A-B-C. This scale is also an example of polymodal chromaticism

Polymodal chromaticism

In music, polymodal chromaticism is the use of any and all musical modes sharing the same final simultaneously or in succession and thus creating a texture involving all twelve notes of the chromatic scale...

 as it includes both the tonic

Tonic (music)

In music, the tonic is the first scale degree of the diatonic scale and the tonal center or final resolution tone. The triad formed on the tonic note, the tonic chord, is thus the most significant chord...

 and dominant

Dominant (music)

In music, the dominant is the fifth scale degree of the diatonic scale, called "dominant" because it is next in importance to the tonic,and a dominant chord is any chord built upon that pitch, using the notes of the same diatonic scale...

 as well as "'two of the most typical degrees from both major and minor' (E and B, E and A, respectively) ([Kárpáti 1975] p.132)".

The most common distance model is the 1:2, also known as the octatonic scale

Octatonic scale

An octatonic scale is any eight-note musical scale. Among the most famous of these is a scale in which the notes ascend in alternating intervals of a whole step and a half step, creating a symmetric scale...

(set type 8-28), followed by 1:3 and 1:5, also known as set type 4-9, which is a subset of the 1:2 model.