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does give some alternate measurements for “mi” and “fa” frets, he does not give readers a mechanism for constructing their own complete fretting scheme based on the 31-division. This is essential since no writer on the subject currently gives an adequate explanation for finding the location of tastini. Though Vincenzo Galilei may have railed against them, the little frets are quite simple to use and can allow the lutenist to play accurately in a wide variety of meantone dispositions with confidence that the pitch relationships will be as accurate as those that are so readily achieved in keyboard instruments. References Abbott, Djilda and Segerman, Ephraim. “On Baroque Lute Stringing and Tunings.” FoMRHI Quarterly, no. 16 (1979): 26-33. Abbott, Djilda and Segerman, Ephraim. “Gut Strings.” Early Music, Vol. 4, No. 4 (Oct., 1976): 430-431+433+435+437. Abbott, Djilda and Segerman, Ephraim. “The Names, String-Lengths and Pitch-Standards of Extended-Neck Lute of the 17th Century.” FoMRHI Quarterly, no. 7 (1977): 26-32. Abbott, Djilda and Segerman, Ephraim. “On the Sound of Early 16th-Century Lutes.” Early Music, Vol. 3, No. 4 (Oct., 1975): 417. Barbieri, Patrizio. Enharmonic Instruments and Music 1470-1900. Latina: Levante, 2008. Barbour, J. Murray. Tuning and Temperament: A Historical Survey. East Lansing: Michigan State Press, 1951. Corona-Alcade, Antonio. “‘You Will Raise a Little Your 4th Fret’: An Equivocal Instruction by Luis Milan?.” The Galpin Society Journal. Vol. 44 (Mar., 1991): 2-45. da Milano, Francesco. Intabolatura di Liuto - Libro Terzo (Venice: 1562). Geneva: Editions Minkoff (2002). Dombois, Eugen. “Correct and easy fret placement.” Journal of the Lute Society of America. vi (1973): 30-32. Dombois, Eugen. “Lute temperament in Hans Gerle (1532).” The Lute. xxii, 1 (1982): 3-13. Dombois, Eugen. “Varieties of meantone temperament realized on the lute.” Journal of the Lute Society of America. vii (1974): 82-89. Corrections in viii (1975): 106 and ix (1976): 108. Dowland, Robert: Varietie of Lute-lessons (London, 1610/r1958). Duffin, Ross. How Equal Temperament Ruined Harmony (and Why You Should Care). New York: W.W. Norton & Company, 2007).
Freis, Wolfgang. “Perfecting the Perfect Instrument: Fray Juan Bermudo on the Tuning and Temperament of the ‘vihuela de mano’.” Early Music, Vol. 23, No. 3, Iberian Discoveries III (Aug., 1995): 421-435. Galilei, Vincenzo. “Dialogo di Vincentio Galilei ... della musica antica, et della moderna. Publisher: Giorgio Marescotti, 1581.” Facsimile of original from the Complutense University of Madrid. Greated, Clive. “Comma.” Grove Music Online. Oxford Music Online. 1 Jul. 2010 . Harwood, Ian. "Fret." Grove Music Online. Oxford Music Online. 15 Jun. 2010 . Lindley, Mark. “Luis Milan and Meantone Temperament.” Journal of the Lute Society of America. xi (1978): 45-62. Lindley, Mark. Lutes, Viols and Temperaments. Cambridge: Cambridge University Press, 1984. Lindley, Mark. "Mean-tone." Grove Music Online. Oxford Music Online. 28 Jun. 2010 . Lindley, Mark. "Temperaments." Grove Music Online. Oxford Music Online. 15 Jun. 2010 . Lundberg, R. “In Tune with the Universe: the Physics and Metaphysics of Galileo’s Lute.” Music and Science in the Age of Galileo, ed. V.A. Coelho. Dordrecht: 1992: 211-39. Morrow, M. and Graubart, M. “Lutes and Theorboes: their use as Continuo Instruments described by Michael Praetorius in his Syntagma musicum.” Lute Society Journal, ii (1960), 26-32. North, Nigel. Continuo Playing on the Lute, Archlute and Theorbo. Bloomington: Indiana University Press, 1985. Ongaro, Giulio. “The Tieffenbruckers and the Business of Lute-Making in Sixteenth-Century Venice.” The Galpin Society Journal, xliv (1991), 46-54. Page, Christopher. “The 15th-Century Lute: New and Neglected Sources.” Early Music, Vol. 9, No. 1, Plucked-String Issue 1 (Jan., 1981): 11-21. Southard, Marc and Cooper, Suzana. “A Translation of Hans Newsidler’s Ein Newgeordent künstlich Lautenbuch ... (1536).” Journal of the Lute Society of America, xi (1978): 5-25. Woodfield, Ian. “Viol Playing Techniques in the Mid-16th Century: A Survey of Ganassi's Fingering Instructions.” Early Music, Vol. 6, No. 4 (Oct., 1978): 544-545+547+549. Zarlino, Gioseffo. "Sopplimenti musicali” Venetia: De' Franceschi 1588. New York: Broude Bros., 1979.
Page 1 and 2: The Rule of Thirty-One: Realizing 1
Page 3 and 4: fifths which actually “overshoots
Page 5 and 6: fourths to avoid a discordantly wid
Page 7 and 8: implying, perhaps, that someone had
Page 9 and 10: and the Just Major 3rd, make this s
Page 11 and 12: Note Name Step Number (n) Frequency
Page 13 and 14: Figure 6. Fret positions for “A
Page 15 and 16: Notice how the marked “fa” and
Page 17 and 18: Figure 13. Template aligned to 6th
Page 19: Once the frets are placed, one can

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