کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10324261 661419 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fuzzy tuning systems: the mathematics of musicians
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Fuzzy tuning systems: the mathematics of musicians
چکیده انگلیسی
We present some mathematical properties which determine tuning methods. We introduce the concept of fuzzy tuning systems and we analyze four of the systems coexisting within the current orchestras: Pythagorean, Just Intonation, Hölder's and Equal Temperament systems. We show that the theoretical and practical tuning methods are the same. We introduce the idea of compatibility between tuning systems and we give some sufficient conditions to determine an appropriate number of notes into which the octave must be divided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 150, Issue 1, 16 February 2005, Pages 35-52
نویسندگان
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