Gerhard Eckel is an artist using sound to explore ways of world making. He aims at articulating the aesthetic and epistemic dimensions of art, understanding artistic experience as a compound of action, perception and reflection. His works are the result of research processes drawing on practices of music composition, sound art, choreography and dance, installation art, interaction design and digital instrument making. Gerhard is professor of computer music and multimedia at the University of Music and Performing Arts Graz in Austria. He also serves as an affiliate professor at the KTH Royal Institute of Technology and as a visiting professor at the Royal College of Music in Stockholm. Besides his artistic work and teaching, he leads publicly funded transdisciplinary research projects and supervises scholarly and artistic doctoral research. See also http://eckel.name
In a similarly minimalistic genre, it would be decorrelated noise played through many speakers distributed aleatorically in the room.
The listening experience would be more or less the same independently of the listeners position and orientation. The residual variation would be quite predictable for the listener, in contrast to what happens with the sine tone. Interferences of the sine tone with its reflections from the surfaces of the room will change its level with the tiniest movement of the listener's head. The amount of the change will depend on the chosen frequency and the room, but there will always be such an effect, therefore the listeners will find themselves "... in a prison of permanent change" (Boris Groys, as quoted in Annie Abrahams' JAR2 exposition "Trapped to Reveal - On webcam mediated communication and collaboration").
Both propositions are paradoxical. On the one hand, the sine tone is the simplest, most redundant signal we can imagine, but its identity is very hard to experience in a room (a headphone would do). On the other hand, the noise represents the biggest amount of change we can imagine in a sound, but in the imagined situation it will create a liberating uniformity. The movements of the listeners will not disturb the experience of identity, they will feel immersed in a sea of sound, which doesn't change due to their agency.
Within the formalistic approach I have chosen, the control of time was excluded from the composition, aiming at an abstract formulation, at a "weak gesture" in Groys' sense. Both rhythm and melody rely on some notion of time - rhythm as a sequence of time intervals and melody as a sequence of tones.
To answer your question I have to leave the chosen formalistic framwork - a choice I took in my experiments with the research catalogue format. I am interested in finding or creating examples of using the research catalogue as the medium for art works - sound art works in my case. I adopted a conceptual attitude in order to be able to write this piece in two sentences and publish it here as the abstract. The empty white page is for me an allusion to the prison scene in George Lucas' movie THX 1138 (something I became aware of once I looked at what I did).
But now to answer your question, if musical structure doesn't offer two types of identity at the same time, one as material and one in the experience. I think I agree with you, that it does and it doesn't need to be rhythm or melody, which are structures resulting from a particular way of thinking music. If you think music from the point of view of the sound, most probably other structures will be relevent. And I think your argument also applied to those - there is the possibility that they do offer two types of identity at the same time. But what is the relationship between these identities? Isn't this the important question from a compositional point of view? I think we cannot think them as isomorphic. Moreover, an identity on the level of the material may not offer an identity in the perception and vice versa.
How is your interest in identities motivated?