Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- 1 Waves and harmonics
- 2 Fourier theory
- 3 A mathematician's guide to the orchestra
- 4 Consonance and dissonance
- 5 Scales and temperaments: the fivefold way
- 6 More scales and temperaments
- 7 Digital music
- 8 Synthesis
- 9 Symmetry in music
- Appendix A Bessel functions
- Appendix B Equal tempered scales
- Appendix C Frequency and MIDI chart
- Appendix D Intervals
- Appendix E Just, equal and meantone scales compared
- Appendix F Music theory
- Appendix G Recordings
- References
- Bibliography
- Index
Appendix G - Recordings
Published online by Cambridge University Press: 05 March 2013
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Introduction
- 1 Waves and harmonics
- 2 Fourier theory
- 3 A mathematician's guide to the orchestra
- 4 Consonance and dissonance
- 5 Scales and temperaments: the fivefold way
- 6 More scales and temperaments
- 7 Digital music
- 8 Synthesis
- 9 Symmetry in music
- Appendix A Bessel functions
- Appendix B Equal tempered scales
- Appendix C Frequency and MIDI chart
- Appendix D Intervals
- Appendix E Just, equal and meantone scales compared
- Appendix F Music theory
- Appendix G Recordings
- References
- Bibliography
- Index
Summary
Go to the entry ‘compact discs’ in the index to find the points in the text which refer to these recordings.
Bill Alves, Terrain of Possibilities, Emf media #2, 2000. Music made with Synclavier and CSound using just intonation.
Johann Sebastian Bach, The Complete Organ Music, recorded by Hans Fagius, Volumes 6 and 8, BIS-CD-397/398 (1989) and BIS-CD-443/444 (1989 & 1990). These recordings are played on the reconstructed 1764 Wahlberg organ, Fredrikskyrkan, Karlskrona, Sweden. This organ was reconstructed using the original temperament, which was Neidhardt's Circulating Temperament No. 3 ‘für eine grosse Stadt’ (for a large town).
Johann Sebastian Bach, Italian Concerto, BWV 971; French Concerto, BWV 831; 4 Duetti, BWV 802–5; Chromatic Fantasy & Fugue, BWV 903. Recorded by Christophe Rousset, Editions de l'Oiseau-Lyre 433,054-2, Decca 1992. These works were recorded on a 1751 Henri Hemsch (Paris) harpischord tuned in Werckmeister III temperament.
Clarence Barlow's ‘OTOdeBLU’ is in 17 tone equal temperament, played on two pianos. This piece was composed in celebration of John Pierce's eightieth birthday, and appeared as track 15 on the Computer Music Journal's Sound Anthology CD, 1995, to accompany volumes 15–19 of the journal. The CD can be obtained from MIT press for $15.
Between the Keys, Microtonal Masterpieces of the 20th Century, Newport Classic CD #85526, 1992. This CD contains recordings of Charles Ives' Three Quartertone Pieces, and a piece by Ivan Vyshnegradsky in 72 tone equal temperament.
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- Chapter
- Information
- Music: A Mathematical Offering , pp. 381 - 385Publisher: Cambridge University PressPrint publication year: 2006