..dark_6
attentional_space
the space of all possible configurations of attention.
Attentional dimensions are degrees of freedom in attentional configuration. Radical multiplicity observed across repeated encounters provides empirical evidence for high-dimensional attentional space. Phenomenological analysis reveals that distinct musical experiences vary along multiple dimensions independently, each constituting a degree of freedom. One encounter may attend to shimmering upper frequencies with expansive spatial diffusion, while another focuses on dense low-frequency drones with forward-driving momentum. These variations occur along distinct phenomenal axes: spectral, affective, memorial, spatial, temporal, among others, spanning all aspects of experience, not only acoustic features. While certain qualities may correlate in practice (harmonic tension often co-occurs with affective tension), each dimension admits separate variation: variation along one axis does not necessitate variation along others. Whether these dimensions exhibit statistical independence, partial correlation, or more complex interdependencies remains a question for future work in mathematical modeling. If two encounters yield different experiences, they must occupy different positions in attentional space, demanding degrees of freedom sufficient to accommodate variation along all observed phenomenal axes.
Attentional states.
At each moment of listening, attentional allocation determines a distinct position in attentional space. Attentional space is a state space: its points represent instantaneous configurations of attention. Analysis requires windowing time into discrete observation moments: a moment is the minimal analytic partition at which attention is sampled. Musical experience unfolds as attention traversing attentional space state-by-state, each successive moment sampling a new state. Each location in attentional space defines a distinct configuration with different coordinates, regional weightings, and co-present phenomenal qualities.
Granularity.
Attentional states possess internal dimensionality: each state is simultaneously a location in high-dimensional space and a configuration across multiple coordinates, making each moment a rich, multi-faceted phenomenon. Attentional states may be analytically decomposed into constituent coordinates (frequency intensities, spatial positions, affective tensions, memorial qualities). These coordinates organize into emergent regions: density gradients where certain phenomenal qualities become prominent while others recede. This high-dimensional structure enables granular precision that exceeds conventional music-theoretic categories. Where traditional analysis identifies motifs, harmonies, and rhythms as discrete features, attentional space allows further disaggregation, which differentiates the particular quality of attending to upper registers at this moment, this memorial context, against this affective background. This granularity makes intelligible how two organisms can both focus on the same motif yet occupy genuinely different attentional states.