کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977854 933215 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Universality in the tail of musical note rank distribution
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Universality in the tail of musical note rank distribution
چکیده انگلیسی

Although power laws have been used to fit rank distributions in many different contexts, they usually fail at the tails. Languages as sequences of symbols have been a popular subject for ranking distributions, and for this purpose, music can be treated as such. Here we show that more than 1800 musical compositions are very well fitted by the first kind two parameter beta distribution, which arises in the ranking of multiplicative stochastic processes. The parameters aa and bb are obtained for classical, jazz and rock music, revealing interesting features. Specially, we have obtained a clear trend in the values of the parameters for major and minor tonal modes. Finally, we discuss the distribution of notes for each octave and its connection with the ranking of the notes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 22, 15 September 2008, Pages 5552–5560
نویسندگان
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