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Why Twelve Tones? The Mathematics of Musical Tuning
6 references·0 citing·17 second hop
Why Twelve Tones? The Mathematics of Musical Tuning (2018)Why Twelve Tones? The Mathematics of Musi…Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal (2016)Two Non-Octave Tunings by Hei…Music: a mathematical offering (2007)Music: a mathematical offeringMusic: A Mathematical Offering (2006)Music: A Mathematical OfferingPianos and Continued Fractions (1999)Pianos and Continued FractionsTuning: At the Crossroads (1987)Tuning: At the CrossroadsGenesis of a Music (1949)Genesis of a MusicHarvard Dictionary of Music (1946)Tuning and temperament (1951)Microtonal Tunings in Electronic Dance Music: A Survey of Precedent and Potential (2016)Wendy Carlos’s Xenharmonic Keyboard (2019)The Oxford companion to music (1943)Tuning and Temperament; A Historical Survey (1952)Aspects of Well-Formed Scales (1989)Continued fractions, best measurements, and musical scales and intervals (2007)The Technique of My Musical Language (1957)A fuzzy framework to explain musical tuning in practice (2011)Manifold mirrors: the crossing paths of the arts and mathematics (2013)Heaps’ law and vocabulary richness in the history of classical music harmony (2021)Art Worlds and Social Types (1976)Coordination and Convention: The Organization of the Concert World (1987)Performance Practice in the Music of Steve Reich (2016)Creative experiences in an interdisciplinary Honors course on mathematics in music (2014)On the construction, comparison, and exchangeability of tuning systems (2015)
this work references cited by second hop

References

  • 2006Music: A Mathematical Offering148 cited
  • 2007Music: a mathematical offering101 cited
  • 1949Genesis of a Music82 cited
  • 1987Tuning: At the Crossroads33 cited
  • 1999Pianos and Continued Fractions21 cited
  • 2016Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal4 cited

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