De Mensurabili Musica
De Mensurabili Musica (concerning measured music) is a musical treatise from the early 13th century (medieval period, c. 1240) and is the first of two treatises traditionally attributed to French music theorist Johannes de Garlandia; the other is de plana musica (Concerning Plainchant). De Mensurabili Musica was the first to explain a modal rhythmic system that was already in use at the time: the rhythmic modes. The six rhythmic modes set out by the treatise are all in triple time and are made from combinations of the note values longa (long) and brevis (short) and are given the names trochee, iamb, dactyl, anapest, spondaic and tribrach, although trochee, dactyl and spondaic were much more common. It is evident how influential Garlandia's treatise has been by the number of theorists that have used its ideas. Much of the surviving music of the Notre Dame School from the 13th century is based on the rhythmic modes set out in De Mensurabili Musica.
- Christensen, Thomas. The Cambridge History of Western Music Theory (Cambridge: Cambridge University Press, 2002), p. 628
- Taruskin, Richard. The Oxford History of western Music - I (Music from the earliest notations to the 16th Century) (Oxford: Oxford University Press, 2010) p196/7
- There has been recent scholarly debate on whether Johannes de Garlandia actually wrote the treatise. Some music historians believe that he was simply editor of the treatises. More information can be found on his Wikipedia page.
- Christensen, Thomas The Cambridge History of Western Music Theory (Cambridge: Cambridge University Press, 2002), ISBN 978-0521686983
- Grout, Donald J. et. al, A history of Western Music (8th edition) (Chapter 5: Polyphony through the thirteenth century), p. 92 (New York: W.W. Norton & Company, 2010), ISBN 978-0-393-91829-8
- Kinsler, Katherine Antiquity and the middle Ages (Basingstoke: Macmillan Press Ltd, 1990)