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11 results for Baroque chorales

BacHMMachine harmonizes Baroque chorales using theory-driven principles and Hidden Markov Models.

problem Algorithmic harmonization of Baroque chorales.
method Theory-driven approach guided by music composition principles, combined with data-driven learning of key and chord transitions.
result BacHMMachine generates musically coherent harmonizations with reduced computational burden and greater interpretability.

Grading function evaluates Bach-style chorales, outperforming human experts.

problem Difficulty in automatically evaluating musical style correctness.
method Introduces a grading function for evaluating four-part chorales in the style of J.S. Bach.
result Transformer model output is outperformed by the grading function at discriminating Bach chorales.

Throughout music history, theorists have identified and documented interpretable rules that capture the decisions of composers. This paper asks, "Can a machine behave like a music theorist?" It presents MUS-ROVER, a self-learning system for automatically discovering rules from symbolic music. MUS-ROVER performs feature…

2016-06-17abs ↗pdf ↗

We describe a generalization of the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) which is able to encode prior information that state transitions are more likely between "nearby" states. This is accomplished by defining a similarity function on the state space and scaling transition probabilities by pai…

2017-07-21abs ↗pdf ↗

Hawksmoor's ceiling and Pantheon dome cofferings are explained using conformal mappings and Mercator's projection.

problem Understanding the design of curved ceiling cofferings using mathematical methods.
method Differential geometry and Mercator's projection of curved surfaces onto planes.
result The cofferings are conformal images of square tilings, ensuring right-angle intersections and square coffers.

Music relies heavily on repetition to build structure and meaning. Self-reference occurs on multiple timescales, from motifs to phrases to reusing of entire sections of music, such as in pieces with ABA structure. The Transformer (Vaswani et al., 2017), a sequence model based on self-attention, has achieved compelling …

2018-09-12abs ↗pdf ↗