Hanlin HuUniversity of Regina · Department of Computer Sciences
Hanlin Hu
Ph.D. Candidate
About
7
Publications
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Introduction
Hanlin Hu currently works at the Department of Computer Sciences, University of Regina. Hanlin does research in Human-computer Interaction and Computer Musics.
Publications
Publications (7)
The question of how to arrange harmonically related pitches in space is a historical research topic of computational musicology. The primitive of note arrangement is linear in 1-D, in which ordered ascending pitches in one direction correspond to increasing frequencies. Euler represented harmonic relationships between notes with a mathematical latt...
![Fig. 2. Euler's Tonnetz (1737) [5]](profile/Hanlin-Hu-2/publication/336880763/figure/fig1/AS:819392896065536@1572369898360/Eulers-Tonnetz-1737-5_Q320.jpg)
![Fig. 4. Shepard's Double Helix model of human pitch perception. [22]...](profile/Hanlin-Hu-2/publication/336880763/figure/fig3/AS:819392896061441@1572369898531/Shepards-Double-Helix-model-of-human-pitch-perception-22-a-the-flat-strip-of_Q320.jpg)
![Fig. 5. Double Helix winding a torus in R 4 [22]](profile/Hanlin-Hu-2/publication/336880763/figure/fig4/AS:819392896061445@1572369898605/Double-Helix-winding-a-torus-in-R-4-22_Q320.jpg)
![Fig. 6. Major Axes of the 4D model [3]](profile/Hanlin-Hu-2/publication/336880763/figure/fig5/AS:819392896069633@1572369898698/Major-Axes-of-the-4D-model-3_Q320.jpg)
The question of how to arrange harmonically related pitches in space is a historical research topic of computational musicology. The primitive of note arrangement is linear in 1-D, in which ordered ascending pitches in one direction correspond to increasing frequencies. Euler represented harmonic relationships between notes with a mathematical latt...
The concept of musical isomorphism is known as the arrangement of musical note constructs in an identical shape regardless of the beginning root note. The research of musical isomorphism exists for over three-hundred years. In the 1700s, Euler tried to present harmonic relationships between notes with a mathematical lattice called Tonnetz, and sinc...
The research of musical isomorphism has been around for hundreds of years. Based on the concept of musical iso-morphism, designers have created many isomorphic keyboard-based instruments. However, there are two major concerns: first, most instruments afford only a single pattern per interface. Second, because note actuators on isomorphic instrument...
The concept of a tone helix has been studied in tone theory and harmonic analysis from a variety of different perspectives. A tone helix represents harmonic relationships between tones in an attempt to model the perception of pitch and harmony in a single form. This paper presents a framework whereby previous helical tone representations can be con...
Poster of Conference Paper
It is possible to position equal-tempered discrete notes on a flat hexagonal grid in such a way as to allow musical constructs (chords, intervals, melodies, etc.) to take on the same shape regardless of the tonic. This is known as a musical isomorphism, and it has been shown to have advantages in composition, performance, and learning. Considering...
