For binaural renderings it is necessary to listen with headphones. Stereo can be played on speakers or via headphones.
I revisited the world of the octonions and refined the tools.
The unit length octonions make up the unit 7sphere.
In a way one could say that this is a field recording on the
7sphere. I know that things are well behaved within a certain framework, but the
way it is set up, then there are always new things to encounter.
Entartung Entkörperung Entgeistigung,
The harmonic structure for this piece started by looking at some tiny fragments
from Arnold Schönberg's opus 23 which is now written exactly 100 years ago.
After that the movements transformed much and got woven into a microtonal
spectral structure. Anyway, every time I look at some of Schönberg's music I
perceive that he has had premonitions of jazz to come up through the century. So
maybe that is what it became: little echos of distant premonitions. The text is by
Rudolf Steiner, from lectures 1916 and 1917. So the piece brings together some very
different, both highly visionary, aspects of Austrian culture.
Voice: Jannick Knyrim. text and English translation
E8 work in progress_
The E8 is a mathematical object which was discovered more than 100 years ago.
But just the last few decades it has become very popular among physicists who try
to use it to explain various mysteries. The so called root system of the E8
generates a lattice in 8 dimensional space. As one slowly approaches just a
fractional understanding of this, then a symmetry is revealed so gigantic and awe
inspiring that it becomes cystal clear why all these mathematicians and scientists
are becoming completely infatuated with this thing.
The audio is very much work in progress. It could take years before I will
arrive at something which, at least to some degree, expresses the sublimity of the
E8. (If ever ?). It is sort of sonifications of the first mathematical understandings
and explorations. Algorithmically it follows more or less what is happening
in this animation: Gosset polytope - E8 - 3D projections .
Binaural rendering of composition for 5th order ambisonics - 5min15
The compositional structure for this piece was made winter 2021. But it is here reworked at the IEM summer 2021. Spatialization is realized through the Simplex23 waveguide mesh described on the IEM blog. The piece explores harmonic structures generated from the numbers 7 and 11, which usually do not have a place in traditional tuning systems. The synthesis has bits af quasicrystal waveforms, non-periodic order.