| 8. |
Babylon is a trivial example of the application of the
Rule of The Natural Aesthetic, or Path of Correlative Intervals,
discovered by the composer within the system of Just Intonation.
It is performed (synthesized) using instrumental voices tuned to Just Intonation and
is in the key of F#, where F# is tuned to 360Hz. The rule constrains motion such that
each note of a line must be separated by a correlative interval from the notes adjacent to
it and alternate to it and from the respective and simultaneous notes of any other line.
This also applies to the internal relationships of chords.
Correlative intervals within Just Intonation
are fully explained in The Ring of Truth. |
| 9. |
ODEION.EXE
is a computer program for DOS 6.11, first conceived in 1986.
It applies the Rule of The Natural Aesthetic and other scalar and rhythmic
constraints to an otherwise random sequence of notes to generate endless melodies,
realized as MIDI files.
The nomenclature of this piece indicates the particular parameter set used
and the sequential run of the program with that parameter set.
Natural No.1-003 - “Third Time Lucky” - was generated
in less than a millisecond.
Although ODEION compositions should really be performed in Just Intonation,
with modulation enabled by dynamic retuning, there is currently
no synthesizer in existence which provides that facility (which requires
that the synthesizer be addressable by vibration number rather than
pitch number),
so this version of Natural No.1-003 is performed using a standard MIDI
synthesizer (an ancient Yamaha DOM-30) and
is therefore in static equal temper at international concert pitch throughout.
Natural No.1 demonstrates that aesthetic archetypes are inherent in the
system of natural dodekaphony, or just intonation.
This means that our judgment of musical (specifically dodekaphonic) structures,
both creative and appreciative,
really does have a numerical basis at an unconscious level.
(Expression, or polish, is another matter entirely.)
This implies that the higher functions of mind, such as intellect,
are governed by nodal numerical relationships of which we are not directly aware
but which may form the very foundation of our consciousness and powers of reason.
Relationships, I would hasten to add, capable of virtually infinite variety.
It also means that dodekaphony is a universal, aeonian truth.
Were there to be intelligent sets of ears on some far distant place in another galaxy,
they too could discover dodekaphony and they too would love Beethoven,
bearing in mind that the discovery of dodekaphony
seems to have been a singular event which could easily never have happened,
not unlike the manifestation of the original self-replicating molecule
from which all life hereabouts is descended.
At some time this piece will be recreated using dynamically
retuned Just Intonation. |