Microtonality and the Tuning Systems of Erv Wilson: Mapping the Harmonic Spectrum (Routledge Studies in Music Theory) by Terumi Narushima

Author:Terumi Narushima [Narushima, Terumi]
Language: eng
Format: epub
Publisher: Taylor and Francis
Published: 2017-11-21T15:00:00+00:00

References

Austin, D 2012, Trees, Teeth, and Time: The Mathematics of Clock Making, American Mathematical Society, viewed 18 Jun 2012, www.ams.org/samplings/feature-column/fcarc-stern-brocot.

Bogomolny, A 2012a, Stern-Brocot Tree and Continued Fractions, from Interactive Mathematics Miscellany and Puzzles, viewed 11 Jul 2012, www.cut-the-knot.org/blue/ContinuedFractions.shtml.

——— 2012b, Stern-Brocot Tree Introduction, from Interactive Mathematics Miscellany and Puzzles, viewed 18 Jun 2012, www.cut-the-knot.org/blue/Stern.shtml.

Borowski, EJ & Borwein, JM 1989, Dictionary of Mathematics, Collins, Glasgow.

Burk, P, Polansky, L, Repetto, D, Roberts, M & Rockmore, D 2011, Music and Computers: A Theoretical and Historical Approach, viewed 11 Jul 2012, http://music.columbia.edu/cmc/musicandcomputers/chapter1/01_03.php.

Burt, W 2007, ‘Algorithms, Microtonality, Performance: Eleven Musical Compositions’, PhD thesis, University of Wollongong.

Carey, N & Clampitt, D 1989, ‘Aspects of Well-Formed Scales’, Music Theory Spectrum, vol. 11, no. 2, pp. 187–206.

——— 1996, ‘Regions: A Theory of Tonal Spaces in Early Medieval Treatises’, Journal of Music Theory, vol. 40, no. 1, pp. 113–147.

Chalmers, J 1975, ‘Cyclic Scales’, Xenharmonikôn, vol. 4, 9 pages.

——— 1993, Divisions of the Tetrachord, Frog Peak Music, Lebanon NH.

——— 1996, Subject: Kornerup, online post, 2 May, viewed 12 Nov 2012, www.microtonal.freeservers.com/mclaren/post102.html.

Clough, J & Douthett, J 1991, ‘Maximally Even Sets’, Journal of Music Theory, vol. 35, no. 1–2, pp. 93–173.

Clough, J & Myerson, G 1985, ‘Variety and Multiplicity in Diatonic Systems’, Journal of Music Theory, vol. 29, no. 2, pp. 249–270.

Erlich, P 2006, ‘A Middle Path between Just Intonation and the Equal Temperaments’, Xenharmonikôn, vol. 18, pp. 159–199.

Finnamore, DJ 2003, Golden Horagrams, viewed 19 Oct 2012, www.elvenminstrel.com/music/tuning/horagrams/horagram_intro.htm.

Grady, K 1995, ‘A Rhythmic Application of the Horagrams’, Xenharmonikôn, vol. 16, pp. 94–98.

——— 2012a, An Introduction to the Moments of Symmetry, viewed 11 Jul 2012, http://anaphoria.com/wilsonintroMOS.html.

——— 2012b, More on Horogram Rhythms, viewed 12 Nov 2012, http://anaphoria.com/horo2.pdf.

——— 2012c, One Person’s Introduction and Digressions to the Works of Erv Wilson, viewed 11 Jul 2012, http://anaphoria.com/wilsonintro.html.

Hayes, B 2000, ‘On the Teeth of Wheels’, American Scientist, vol. 88, no. 4, pp. 296–300.

Helmholtz, H 1954, On the Sensations of Tone as a Physiological Basis for the Theory of Music, 4th German edn, 1877; trans., rev., corrected by AJ Ellis, Dover Publications Inc., New York.

Knott, R 2010, The Fibonacci Numbers and Golden Section in Nature – 1, viewed 7 Mar 2012, www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html.

——— 2011a, Fractions in the Farey Series and the Stern-Brocot Tree, viewed 10 Jul 2012, www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fractions/fareySB.html.

——— 2011b, The Fibonacci Rabbit Sequence – the Golden String, viewed 7 Mar 2012, www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibrab.html.

Kornerup, T 1934, Acoustic Methods of Work in Relation to Systematic Comparative Musicology: Including Some Acoustic Tables, trans. M Baruel, Author, Copenhagen.

Mandelbaum, J 1961, ‘Multiple Division of the Octave and the Tonal Resources of the 19-Tone Temperament’, PhD thesis, University of Indiana.

Milne, AJ, Carlé, M, Sethares, WA, Noll, T, & Holland, S 2011, ‘Scratching the Scale Labyrinth’, in C Agon, E Amiot, M Andreatta, G Assayag, J Bresson, & J Mandereau (eds), Mathematics and Computation in Music: Third International Conference, MCM 2011, Paris, France, June 2011, Lecture Notes in Computer Science, vol. 6726, Springer-Verlag, Berlin Heidelberg, pp. 180–195.

‘Moment of Symmetry, MOS’, 2005, in Tonalsoft Encyclopedia of Microtonal Music Theory, J Monzo (ed.), viewed 18 Oct 2012, www.tonalsoft.com/enc/m/mos.aspx.

O’Connell, W 1993, ‘The Tonality of the Golden Section’, Xenharmonikôn, vol.

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