interwaowe

Interwaowe is a theoretical construct in music theory and signal analysis that aims to model the relationship between sequential musical intervals and their temporal progression. The term is used in speculative discussions and is not a standard term in mainstream theory. It signals an interest in coupling pitch relationships with timing in a unified descriptor.

Definition and concept

An interwaowe describes a transition between two successive notes by capturing both the pitch interval and the time elapsed between those notes. Formally, for a sequence of events with pitches p1, p2, ... and timestamps t1, t2, ..., the basic interwaowe value for the i-th transition can be described as I_i = (Δp_i, Δt_i), where Δp_i = p_{i+1} − p_i (in semitones) and Δt_i = t_{i+1} − t_i (in beats or seconds). In practice, Δp_i may be kept numeric or categorized (e.g., consonant vs. dissonant), and Δt_i may be measured in a chosen tempo framework.

Variants and properties

Interwaowe can be represented as a vector sequence or collapsed into a scalar score using a function g(Δp_i, Δt_i). Different encoding choices yield different emphases, such as harmonic distance, rhythmic density, or the synchronization between pitch motion and tempo. The construct is invariant under certain tempo-preserving transformations but sensitive to tempo changes and expressive rubato.

Applications and examples

Potential applications include comparative musicology, where performances of a motif are analyzed for rhythm–pitch coupling, and music information retrieval, where interwaowe sequences support motif matching across recordings. In algorithmic composition, interwaowe-inspired descriptors can guide the generation of melodies with coordinated pitch and timing.

See also

Inter intervals, Rhythm, Time-series analysis, Signal processing.

Note

Interwaowe remains a hypothetical concept and is not widely adopted as a formal category in established music theory.