5ths Machine Sources 

__________   Primary Source   __________

Helmholtz, Hermann L.F. On the Sensations of Tone. Translated by Alexander J. Ellis. New York: Dover Publications, Inc., 1954.

The Second English Edition, translated, thoroughly revised and corrected, conforming to the Fourth (and last) German Edition of 1877, with numerous additional notes and a new additional appendix bringing down information to 1885.

__________   Selected Sources   __________

Doty, David B. The Just Intonation Primer: An Introduction to the Theory and Practice of Just Intonation. 3rd ed. (2002). http://www.dbdoty.com/Words/Primer1.html.

Fairer, David, and Christine Gerrard, editors. Eighteenth-Century Poetry: An Annotated Anthology. 2nd ed., Blackwell, 2004.

Jensen, Claudia R. “A Theoretical Work of Late Seventeenth-Century Muscovy: Nikolai Diletskii’s Grammatika and the Earliest Circle of Fifths.”Journal of the American Musicological Society 45, no. 2 (Autumn 1992): 305-31. https://www.jstor.org/stable/831450.

Lindley, Mark. “J. S. Bach’s Tunings.” The Musical Times 126, no. 1714 (Dec. 1985): 721-26. https://www.jstor.org/stable/965195.

Lindley, Mark. Lutes, Viols & Temperaments. Cambridge: Cambridge University Press, 1984.

Link, John W. Jr. “Understanding the Two Great Temperaments: Equal and Meantone.” Journal of Research in Music Education 13, no. 3 (Autumn 1965): 136-46. https://www.jstor.org/stable/3343668.

Lowinsky, Edward E. “Adrian Willaert’s Chromatic ‘Duo’ Re-Examined.” Tijdschrift der Vereeniging voor Noord-Nederlands Muziekgeshchiedenis  Deel 18, 1ste Stuk (1956): 1-36. https://www.jstor.org/stable/947522.

Mathieu, W. A. Harmonic Experience: Tonal Harmony from its Natural Origins to its Modern Expression. Rochester, VT: Inner Traditions International, 1997.

Meffen, John. A Guide to Tuning Musical Instruments. North Pomfret, VT: David & Charles, 1982.