Traditional pitch and pitch-class spaces usually assume even distributions, despite the layout of the piano keyboard being inherently uneven. While prior studies have addressed some aspects of keyboard topography such as hand crossings (Mead 1999), keyboard fingerings (Bungert 2015), physical balance (Duguay 2019), key-color invariance (Hook 2014) and modular spaces (De Souza 2017, 57–58), and transformation groups of keyboard chord shapes (Frederick 2024), this paper proposes a model that foregrounds the keyboard’s structural asymmetry. This set of voice-leading spaces (modeled after Tymockzo 2011) reimagines how musical motion operates along the piano's unique horizontal design. Using a mod-14 system that assigns integers to white keys and half-integers to black keys, I advocate for a model that preserves physical spacing while introducing placeholders for absent keys, producing keyboard-based voice-leading spaces. In these voice-leading spaces, I make the aesthetic choice to color all placeholder points green, aiding the fundamental change to the aesthetic quality of these voice-leading spaces. By applying this methodology to two- and three-voice spaces (the opening to Claude Debussy's "Voiles" and the right-hand portion of a keyboard-style omnibus progression, respectively), I not only reveal a connection between the piano and formalized spaces but also a subversion of traditional tonal intuition. By integrating abstract geometry with embodied piano performance, this approach offers an analytical framework that highlights physical and perceptual asymmetries, bridging theory, performance, and cognition in keyboard-based repertoire analysis.

Recent embodied transformational studies of string instruments operate through a fret-based model in which individual pitches separated by semitone are traversed by the hand. This generalized system of fretboard space poses several issues for the double bass, whose large size and unique history of pedagogical development calls for a distinct embodied hand-position logic.

The Simandl and Rabbath systems, the two dominant pedagogical methods currently taught to bassists, divide the fingerboard of the bass into discrete positions which encompass all pitches available to a single vertically static placement of the hand. Unlike an equidistant system of pitches on a fretboard, these positions vary in their size, placement, and frequency both within and between the Simandl and Rabbath schools, meaning that these bass-specific systems align neither with pitch-based instrumental spaces nor with each other.

This paper proposes models of positional space on the double bass fingerboard derived from the Simandl and Rabbath methods. Through modelling and contrasting embodied transformations within Rabbath’s “Breiz” and an excerpt from Beethoven’s Ninth Symphony across these distinct positional interval systems, I argue that the methodological system a bassist uses fundamentally changes their instrumental space. Additionally, the physicality of these positions and their transformations show that performance choices which impact both the embodied experience of the performer and the auditory experience of the listener might be better contextualized through the lens of these systems. This suggests that, to be fully realized, embodied transformational analysis should account for instrumentally-specific theoretical systems.

Transformational theories of musical pitch have evolved rapidly over the last half century, shaped by a tension between group-theoretical rigor and descriptive flexibility. While Hook (2011) models tonal transposition through “tonic-agnostic” diatonic sets, Rings (2011) privileges contextual hearing, sometimes at the expense of algebraic clarity. Lam’s (2020) modal spelled pitch-class expands Hook’s ordered pair (spcdia, gpcnote) by introducing a third coordinate: the generic pitch class of scale degree 1 (gpc1̂). By attaching scale degree to generic pitch class mod-7 rather than pitch class mod-12, Lam preserves the integrity of the diatonic collection while enabling a family of eight group-theoretical modal transpositions.

This paper integrates Lam’s modal transpositions with Frederick’s (2019) generic OP-space, focusing on four attributes: normal form, mod-space maximum, pitch offset, and order offset. These are instantiated iteratively from generic to chromatic layers. Following Clough (1979), who argues that generic pitch is not intrinsically limited to diatonic scales, I extend these tools to modal jazz, Tamil film music, and contemporary Javanese gamelan.

Movement from swara to swara in a raga may be understood as motion in generic space, and Ilaiyaraaja’s “Rojavai Thaalattum Thendral” (1982), set in Raga Pantuvarali, offers a case study. In Pantuvarali space, transpositions of a single generic chord quality yield flexible chromatic realizations, enabling triads to result from from two different OPT-space normal forms, [0, 2, 4]₇ and [0, 1, 4]₇. Roman-numeral analysis becomes ineffective. Instead, harmonies are modeled in two coordinate OP-space: generic chord quality and sum-class, clarifying Ilaiyaraaja’s acrobatic voice leading. The same apparatus illuminates contemporary Javanese pelog. In 1986, Lou Harrison’s A Cornish Lancaran introduced a pentatonic bluesy subset (1–3–4–5–7). In the early 2000s, Gatot Windandar’s "DNA" paired the same collection with innovative bonang layouts that preserve ergonomic octave-inversion logic while facilitating rapid scalar motion. Modeled through Lam’s transpositional families and OP-space parameters, the “pelog blues” emerges not as an anomaly but as one of seven structurally coherent pentatonic transpositions.

By extending transformational theory beyond tonal foundations, this study positions generic pitch and modal transposition as flexible tools for global music theory, expanding the analytical and cultural scope of musical pitch transformations.