Codificación y publicación de música: Un taller sobre Music Encoding Initiative (MEI)

This is a set of slides presented during the Semana de Humanidades Digitales (Week of Digital Humanities) organized by Digital Humanities associations in Mexico (Red HD), Colombia (Red Colombiana de Humanidades Digitales), and Argentina (Asociación Argentina de Humanidades Digitales). An MEI template (template_more_elements.xml) for use with the presentation can be found at https://doi.org/10.17613/dmtt-8n57

Encoding Mensural Notation with MEI

This set of slides was used both in a workshop, Digital Humanities in Early Music Research I, Session II – Early Music Databases and Encoding and in a Paleography course at University of Freiburg. They present the following topics: (1) A short introduction to MEI, (2) Basic Structure of an MEI file, (3) Examples, (4) MEI Technologies - Editors and Viewers, (5) Mensural notation in MEI, (5) Hands-on encoding example. MEI template file for use with the slides can be accessed at https://doi.org/10.17613/m5yr-xb87

Retrieving Music Semantics from Optical Music Recognition by Machine Translation

In this paper, we apply machine translation techniques to solve one of the central problems in the field of optical music recognition: extracting the semantics of a sequence of music characters. So far, this problem has been approached through heuristics and grammars, which are not generalizable solutions. We borrowed the seq2seq model and the attention mechanism from machine translation to address this issue. Given its example-based learning, the model proposed is meant to apply to different notations provided there is enough training data. The model was tested on the PrIMuS dataset of common Western music notation incipits. Its performance was satisfactory for the vast majority of examples, flawlessly extracting the musical meaning of 85% of the incipits in the test set—mapping correctly series of accidentals into key signatures, pairs of digits into time signatures, combinations of digits and rests into multi-measure rests, detecting implicit accidentals, etc.This work is supported by the Spanish Ministry HISPAMUS project TIN2017-86576-R, partially funded by the EU, and by CIRMMT’s Inter-Centre Research Exchange Funding and McGill’s Graduate Mobility Award

Synthesis of tacrine analogues derived from n-aryl-5-amino-4-cyanopyrazoles

Synthesis of eleven tacrine analogues derived from N-aryl-5-amino-4-cyanopyrazoles, by a Friedländer type reaction, is described. Their structures were confirmed by 1H and 13C NMR spectroscopy, elemental analysis and/or mass spectrometry.Fundação para a Ciência e Tecnologia and FEDER (POCTI-SFA-3-686

A note on q-Euler numbers and polynomials

The purpose of this paper is to construct q-Euler numbers and polynomials by using p-adic q-integral equations on Zp. Finally, we will give some interesting formulae related to these q-Euler numbers and polynomials.Comment: 6 page

Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity

The description of many dynamical problems like the particle motion in higher dimensional spherically and axially symmetric space-times is reduced to the inversion of a holomorphic hyperelliptic integral. The result of the inversion is defined only locally, and is done using the algebro-geometric techniques of the standard Jacobi inversion problem and the foregoing restriction to the $\theta$--divisor. For a representation of the hyperelliptic functions the Klein--Weierstra{\ss} multivariable sigma function is introduced. It is shown that all parameters needed for the calculations like period matrices and Abelian images of branch points can be expressed in terms of the periods of holomorphic differentials and theta-constants. The cases of genus two and three are considered in detail. The method is exemplified by particle motion associated with a genus three hyperelliptic curve

A Selberg integral for the Lie algebra A_n

A new q-binomial theorem for Macdonald polynomials is employed to prove an A_n analogue of the celebrated Selberg integral. This confirms the g=A_n case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every simple Lie algebra g.Comment: 32 page

Encoding Polyphony from Medieval Manuscripts Notated in Mensural Notation

This panel submission for the 2021 Music Encoding Conference brings together five short papers that focus on the making of computer-readable encodings of polyphony in the notational style – mensural notation – in which it was originally copied. Mensural notation was used in the medieval West to encode polyphony from the late thirteenth to sixteenth centuries. The Measuring Polyphony (MP) Online Editor, funded by an NEH Digital Humanities Advancement Grant, is a software that enables non-technical users to make Humdrum and MEI encodings of mensural notation, and links these encodings to digital images of the manuscripts in which these compositions were first notated. Topics explored by the authors include: the processes of, and the goals informing, the linking of manuscript images to music encodings; choices and compromises made in the development process of the MP Editor in order to facilitate its rapid deployment; and the implications of capturing dual encodings – a parts-based encoding that reflects the layout of the original source, and a score-based encoding. Having two encodings of the music data is useful for a variety of activities, including performance and analysis, but also within the editorial process, and for sharing data with other applications. The authors present two case studies that document the possibilities and potential in the interchange of music data between the MP Editor and other applications, specifically, MuRET, an optical music recognition (OMR) tool, and Humdrum analysis tools

Next Steps for Measuring Polyphony: A Prototype Editor for Encoding Mensural Music

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