Mathematical Theory of Tone Systems

Explore the intricate world of musical tones with the Mathematical Theory of Tone Systems by Ján Haluška. Published by Taylor & Francis Inc in 2003, this hardback edition spans 418 pages and delves deep into the functional definitions of tone systems through the lens of uncertainty theory. This comprehensive work employs geometrical nets and various analytical measures to investigate a wide array of practical and theoretical tone systems, including the renowned Pythagorean tuning and superparticular pentatonics. Additionally, it covers essential topics such as Equal Temperaments and Ptolemy Systems, making it an invaluable resource for students and professionals in mathematics and music theory alike. Whether you are an advanced learner or a seasoned expert, this book offers profound insights into the mathematical analysis of musical intervals and scales.