| Description |
1 online resource |
| Contents |
Intro; Title Page; Copyright Page; Dedication Page; Contents; Acknowledgments; Introduction; 1. The Cosmic Joke; 2. The Harmonic Series; 3. Generating Scales; Interlude A: Ptolemy and Ancient Greek "Parts"; 4. The Pythagorean Scale; Interlude B: Guillaume de Machaut's Notre Dame Mass; 5. The Five Limit, The Second Dimension; Interlude C: Some Modern Five-Limit Notions; 6. Meantone Temperament and the Primacy of Thirds; Interlude D: Meantone Examples; 7. Well Temperament and Key Color; Interlude E: Bach, Beethoven, and Temperament; 8. Twelve-Step Equal Temperament |
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9. The Seven Limit and Johnston NotationInterlude F: La Monte Young's The Well-Tuned Piano; Interlude G: Ben Johnston's String Quartet No. 4; 10. The Eleven Limit and the Fourth Dimension; Interlude H: Harry Partch; 11. The Thirteen Limit and Beyond; Interlude I: Ben Johnston's String Quartet No. 7, Movement 3; Interlude J: Kyle Gann's Hyperchromatica; Interlude K: Toby Twining's Chrysalid Requiem; 12. Non-Twelve-Divisible Equal Temperaments; Interlude L: Nicola Vicentino's Archicembalo; 13. Twelve-Based Equal Temperaments |
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Interlude M: Some Quarter-Tone Impressions (Hába, Ives, Wyschnegradsky)Interlude N: Ezra Sims's String Quartet No. 5; 14. A Few Numbers Drawn from Non-Western Musics; 15. Brief Miscellaneous Thoughts; Appendix; Notes; Glossary of Tuning Terms; Bibliography; Index; About the Author |
| Summary |
"Tuning is the secret lens through which the history of music falls into focus, says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Music provides a much-needed primer for the wide range of tuning systems that have informed Western music."--ProQuest |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from digital title page (viewed on October 04, 2019) |
| Subject |
Musical intervals and scales.
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Microtonal music -- History and criticism
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Microtones.
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MUSIC -- General.
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Microtonal music
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Microtones
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Musical intervals and scales
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| Genre/Form |
Criticism, interpretation, etc.
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| Form |
Electronic book
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| ISBN |
9780252051425 |
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0252051424 |
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