scholarly journals Possible principles of mathematical music analysis

New Sound ◽  
2018 ◽  
pp. 153-174
Author(s):  
Dragan Latinčić

The text is a summary of many years of research in the domains of micro-intervals, metric-rhythmic projection of the spectrum harmonics, and the establishment of a link with mathematics, more precisely, geometry, with a special focus on the application of the Pythagorean Theorem. Mathematical music analysis enables the establishment of methods for constructing right, obtuse, and acute musical triangles as well as projections of their edges (sides), which are recognized in trigonometry as the functions of angles: the sine, cosine, and so on; as well as the establishment of methods for constructing spectral and scalar (intonative-temporal) trigonometric unit circles with their function graphs.

VASA ◽  
2012 ◽  
Vol 41 (5) ◽  
pp. 313-318 ◽  
Author(s):  
Ernemann ◽  
Bender ◽  
Melms ◽  
Brechtel ◽  
Kobba ◽  
...  

Interventional therapies using angioplasty and stenting of symptomatic stenosis of the proximal supraaortic vessels have evolved as safe and effective treatment strategies. The aim of this paper is to summarize the current treatment concepts for stenosis in the subclavian and brachiocephalic artery with regard to clinical indication, interventional technique including selection of the appropriate vascular approach and type of stent, angiographic and clinical short-term and long-term results and follow-up. The role of hybrid interventions for tandem stenoses of the carotid bifurcation and brachiocephalic artery is analysed. A systematic review of data for angioplasty and stenting of symptomatic extracranial vertebral artery stenosis is discussed with a special focus on restenosis rate.


2016 ◽  
Vol 21 (1) ◽  
pp. 30-40 ◽  
Author(s):  
Paulo S. Boggio ◽  
Gabriel G. Rêgo ◽  
Lucas M. Marques ◽  
Thiago L. Costa

Abstract. Social neuroscience and psychology have made substantial advances in the last few decades. Nonetheless, the field has relied mostly on behavioral, imaging, and other correlational research methods. Here we argue that transcranial direct current stimulation (tDCS) is an effective and relevant technique to be used in this field of research, allowing for the establishment of more causal brain-behavior relationships than can be achieved with most of the techniques used in this field. We review relevant brain stimulation-aided research in the fields of social pain, social interaction, prejudice, and social decision-making, with a special focus on tDCS. Despite the fact that the use of tDCS in Social Neuroscience and Psychology studies is still in its early days, results are promising. As better understanding of the processes behind social cognition becomes increasingly necessary due to political, clinical, and even philosophical demands, the fact that tDCS is arguably rare in Social Neuroscience research is very noteworthy. This review aims at inspiring researchers to employ tDCS in the investigation of issues within Social Neuroscience. We present substantial evidence that tDCS is indeed an appropriate tool for this purpose.


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