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-E♭-E-G-A♭-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, E♭ and A♭, respectively) ([Kárpáti 1975] p.132)".[3][4]
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.[5] Set type 4-9 has also been referred to as a "Z-Cell."[6]
distance, model, music, distance, model, alternation, different, intervals, create, diatonic, musical, mode, such, distance, model, alternation, semitones, minor, thirds, this, scale, also, example, polymodal, chromaticism, includes, both, tonic, dominant, wel. 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 E E G A 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 E and A respectively Karpati 1975 p 132 3 4 1 2 distance models on E D and D Also known as octatonic scales Ode to Napoleon hexachord 1 in prime form 2 Play It is also Erno Lendvai s 1 3 Model scale and one of Milton Babbitt s six all combinatorial hexachord source sets 2 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 5 Set type 4 9 has also been referred to as a Z Cell 6 See also editGenerated collectionReferences edit Lewin David 1959 Re Intervallic Relations Between Two Collections of Notes Journal of Music Theory 3 no 2 November 1959 298 301 p 300 a b Van den Toorn Pieter C 1996 Music Politics and the Academy p 128 29 ISBN 0 520 20116 7 Karpati Janos 1975 Bartok s String Quartets p 132 Translated by Fred MacNicol Budapest Corvina Press Cited in Wilson 1992 Wilson Paul 1992 The Music of Bela Bartok p 8 9 ISBN 0 300 05111 5 Wilson 1992 p 25 26 Analyzing atonal music nbsp This music theory article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Distance model amp oldid 1091983044, wikipedia, wiki, book, books, library,
