Axis system: Difference between revisions
added . aragraphs |
m (minor example) |
||
| Line 1: | Line 1: | ||
The Axis System of functional harmony was first described by Ernő Lendvai in his analysis of Béla Bartok, a somewhat xenharmonic composer. Primarily organizing chords, it describes a new complete system of chord relations / substitutions for the full system of 12 edo, rather than a meantonic approach, such that notes separated by 1\2 are primarily connected and notes separated by 1\4 are secondarily connected. It is notable for its elegance, and its popular power in analyzing complex jazz in situations where no other system seems to work. | The Axis System of functional harmony was first described by Ernő Lendvai in his analysis of Béla Bartok, a somewhat xenharmonic composer. Primarily organizing chords, it describes a new complete system of chord relations / substitutions for the full system of 12 edo, rather than a meantonic approach, such that notes separated by 1\2 are primarily connected and notes separated by 1\4 are secondarily connected. It is notable for its elegance, and its popular power in analyzing complex jazz (or punk) in situations where no other system seems to work. | ||
[[File:Placeholderaxisharmony.png|thumb]] | [[File:Placeholderaxisharmony.png|thumb]] | ||
The purest form of Axis harmony is immediately applicable to all multiple of 12 edos, simply with additional cycles. Most conservatively, Axis Harmony is applicable to all edos which share a 1\4 tetrad, by considering the functions of all the notes in that tetrad as the same rather than individually. All multiple of 2 edos as well will be able to symmetrize functions across the tritone. In addition, all multiple of 3 edos will be able to benefit from the secondary component of the theory, the division of functions into 3 types of contrasting effect, for harmonic use. Furthermore, the principles of Axis Harmony by drawing the cycles of relationships along the lines of the edos natural symmetries will expand easily to any composite edo. It has even been postulated that the equivalences based on the intervals of 1\4 and 1\3 function even without a closed loop to the octave, allowing for unlimited expansion to ji. | The purest form of Axis harmony is immediately applicable to all multiple of 12 edos, simply with additional cycles. Most conservatively, Axis Harmony is applicable to all edos which share a 1\4 tetrad, by considering the functions of all the notes in that tetrad as the same rather than individually. All multiple of 2 edos as well will be able to symmetrize functions across the tritone. In addition, all multiple of 3 edos will be able to benefit from the secondary component of the theory, the division of functions into 3 types of contrasting effect, for harmonic use. Furthermore, the principles of Axis Harmony by drawing the cycles of relationships along the lines of the edos natural symmetries will expand easily to any composite edo. It has even been postulated that the equivalences based on the intervals of 1\4 and 1\3 function even without a closed loop to the octave, allowing for unlimited expansion to ji. | ||
Revision as of 20:09, 4 May 2026
The Axis System of functional harmony was first described by Ernő Lendvai in his analysis of Béla Bartok, a somewhat xenharmonic composer. Primarily organizing chords, it describes a new complete system of chord relations / substitutions for the full system of 12 edo, rather than a meantonic approach, such that notes separated by 1\2 are primarily connected and notes separated by 1\4 are secondarily connected. It is notable for its elegance, and its popular power in analyzing complex jazz (or punk) in situations where no other system seems to work.
The purest form of Axis harmony is immediately applicable to all multiple of 12 edos, simply with additional cycles. Most conservatively, Axis Harmony is applicable to all edos which share a 1\4 tetrad, by considering the functions of all the notes in that tetrad as the same rather than individually. All multiple of 2 edos as well will be able to symmetrize functions across the tritone. In addition, all multiple of 3 edos will be able to benefit from the secondary component of the theory, the division of functions into 3 types of contrasting effect, for harmonic use. Furthermore, the principles of Axis Harmony by drawing the cycles of relationships along the lines of the edos natural symmetries will expand easily to any composite edo. It has even been postulated that the equivalences based on the intervals of 1\4 and 1\3 function even without a closed loop to the octave, allowing for unlimited expansion to ji.
