Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10324261 | Fuzzy Sets and Systems | 2005 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Vicente Liern,