Syn Metron #1

Syn Metron #1

Here is a piece I've written in 2024 for 4-hands piano.

Notes for aficionados

While working on this piece I've generated catalog of all harmonies made of symmetric interval series. Click on the link symmetry_catalog.pdf to view the catalog. Harmonic constructions and related pitch sets are complementary; pitch sets are derived from vertical note assemblies: to be included in this catalog they both must be symmetrical i.e. to be non-retrogradable. The method is like this: compose a series of intervalls, which meets the condition to be symmetrical e.g. [4, 7, 3, 10, 10, 3, 7, 4] = [C2, E2, B2, D3, C4, A#4, C#5, G#5, C6] and transform it into a set starting with the base pitch of the chord [1, 1, 2, 4, 2, 1, 1]=[C, C#, D, E, G#, A#, B, C]. (Each note in the vertical structure is fixed to their octave.) To build vertical symmetries (i.e. chords) the smallest interval in use is 3 (minor third) and the biggest interval 11 (major seventh); minor and major seconds are omitted justifiably, on the grounds that those small intervals are more suited to build scales rather than chords.

Harmonic construction

Time construction

The flow of time is structured basically from two cyclical blocks, which are made of 15 and 21 8th notes. Those cycles are made of symmetrically arranged units; the order of those units are changing at every turn.