Distance model

File:Diminished scales on Db, D, and Eb.PNG

1:2 distance models on ETemplate:Music, D, and DTemplate:Music. Also known as octatonic scales.

File:'Ode-to-Napoleon' hexachord.png

Audio file "'Ode-to-Napoleon' hexachord.mid" not found}}Template:Category handler. It is also Ernő Lendvai's "1:3 Model" scale and one of Milton Babbitt's six all-combinatorial hexachord "source sets".

In music a distance model is the alternation of two different intervals to create a non-diatonic musical mode such as the 1:3 distance model, the alternation of semitones and minor thirds: C-ETemplate:Music-E-G-ATemplate:Music-B-C. This scale is also an example of polymodal chromaticism as it includes both the tonic and dominant as well as "'two of the most typical degrees from both major and minor' (E and B, ETemplate:Music and ATemplate:Music, respectively) ([Kárpáti 1975] p.132)".

The most common distance model is the 1:2, also known as the octatonic 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. Set type 4-9 has also been referred to as a "Z-Cell."

See also

• Generated collection

References

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