Geometric Keyboard Layout for Chromatic Transposition
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Solution Overview
Problem
Conventional keyboards, such as the piano, limit immediate transposition and do not allow for the easy visualization and production of chords and melodies, particularly in chromatic contexts, as they are either diatonic or restrict the ability to play certain intervals like major thirds and half-tone intervals.
Innovation Solution
A chromatic positional keyboard with two sub-keyboards arranged in a geometric layout where notes are distributed alternately by thirds, allowing for the visualization of chords and modes, enabling easy transposition and the production of a wide range of intervals, including half-tone intervals, and incorporating pressure-sensitive keys for dynamic sound control.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If conventional keyboard layouts (piano, diatonic keyboards) are used, then the keyboard structure is simple and familiar, but transposition is difficult and chord visualization is limited
Solution Approach 1:
The patent transitions from a one-dimensional linear keyboard layout to a two-dimensional geometric layout where notes are arranged in rows and columns. This dimensional change enables chords to be visualized as geometric patterns and allows easy transposition through geometric transformations (translations, rotations, reflections) of these patterns, directly resolving the contradiction between operational ease and structural complexity.
Solution Approach 2:
The patent uses geometric positioning and spatial relationships as a visual 'color code' system where the position, orientation, and shape of key groups represent different chords and their relationships. This geometric visualization system makes transposition and harmonic analysis intuitively accessible, improving ease of operation without requiring complex additional mechanisms.
2Adaptability or versatility
If diatonic keyboard arrangements are used, then the keyboard structure is simple, but chromatic contexts and certain intervals (major thirds, half-tone intervals) cannot be easily played or visualized
Solution Approach 1:
By arranging keys in a two-dimensional grid with specific geometric relationships, the patent enables simultaneous access to chromatic notes and visualization of intervals like major thirds and half-tone intervals as specific geometric patterns. This dimensional reorganization provides chromatic versatility while maintaining a relatively simple keyboard structure.
Solution Approach 2:
The geometric keyboard layout creates a universal system where the same spatial patterns can represent different chords and intervals across all keys. This multi-functional geometric framework allows the keyboard to handle diatonic, chromatic, and various intervallic contexts with a single unified structure, enhancing adaptability without proportionally increasing complexity.
3Loss of information
If notes are arranged in a linear fashion (traditional keyboard), then the keyboard structure is simple, but chord structures and harmonic relationships cannot be easily visualized
Solution Approach 1:
The patent's two-dimensional geometric arrangement of keys allows chord members to be positioned in spatial relationships that visually represent harmonic functions and connections. This geometric layout makes chord structures and harmonic relationships immediately visible through the spatial configuration of keys, reducing information loss about harmonic relationships.
Solution Approach 2:
The geometric positioning system creates a visual language where spatial relationships (distance, orientation, grouping) encode harmonic information. This geometric 'color coding' system preserves and displays harmonic relationship information in an intuitively accessible visual format without requiring complex additional display mechanisms.
4Productivity
If traditional keyboard layouts are used, then the keyboard structure is simple, but playing with virtuosity and feeling harmonic rhythm is difficult
Solution Approach 1:
The geometric keyboard layout enables virtuosic playing by allowing musicians to access complex chords, scales, and harmonic patterns through efficient geometric patterns and hand positions. The spatial organization facilitates rapid movement between notes and chords, enhancing playing productivity and virtuosity while maintaining a manageable keyboard structure.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Facilitates the learning and performance of harmonic and melodic elements by allowing musicians to visualize chord structures and modes, enabling virtuosic play with ease and dynamic expression, while being adaptable to traditional notation and MIDI systems.
Implementation Method 1
the keys are sensitive to force and/or velocity of actuation
Data Source
Figure 1~3B
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Figure 7A~7B
AI summary
The invention relates to a polyphonic, chromatic keyboard, the notes of which are alternately distributed across two sub-keyboards, i.e. arranged in thirds on each sub-keyboard. On each sub-keyboard, the notes are distributed across a tiling of basic triangles that is symmetrical from one sub-keyboard to the other and that peaks at one note, i.e. the major third thereof, and the minor third thereof. Thus, the quality of an interval, and consequently that of a chord or mode, does not vary with a nearby symmetry/translation. The harmonic material is represented by easily memorizable shapes. The relationships between chords are represented by geometrical movements. The present invention can thus be a pedagogical aid for learning and understanding harmonic rules. The present invention enables the user to play a bass line and a harmonic or melodic accompaniment simultaneously, feel the harmonic rhythm, and play with virtuosity. The invention can be fit onto a portable instrument, thus making it possible to play comfortably.