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Out of Tune? Need a Hand with Your Singing? Ask a Medieval Theorist for Help!

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The following is a guest post from Archives Processing Technician Dr. Rachel McNellis.

In 2017 the National Aeronautics and Space Administration (NASA) provided the public with a soundtrack of “Spooky Space Sounds” for Halloween.[1] Spacecraft had captured radio emissions from Jupiter, Saturn, and other cosmic bodies and transformed them into sound waves. NASA had captured sound from the universe! While this certainly was a fun discovery, the idea that planets produced sound was not new. Rather, the sixth-century philosopher Boethius proposed that the universe was a musical body—an idea that persisted throughout the Middle Ages.

Medieval manuscript page, script appears in a series of concentric circles in red an black ink.
Diagram of the Universe. Collection of Musical Treatises, compiled by Johannes Franciscus Preottonus, 1465–1477, folio 1r. ML171 .J6.

A fifteenth-century collection of music theory treatises in the Music Division contains a diagram of the universe that can help us understand this thought process. It displays the cosmos as a set of concentric circles. The earth is at the center, and expanding outwards each circle is labeled with the name of the moon and six known planets: Mercury, Venus, the Sun, Mars, Jupiter, and Saturn, all of which rotate around the stationary earth. This is not far off from what modern science has discovered: the planets revolve around the sun in an elliptical motion. According to Boethius, however, these spheres rotate so quickly around each other that they produce a perfectly harmonious sound. It was inaudible to the human ear, although the ancient Greek mathematician Pythagoras had an idea.

Painted image of hand and sleeve cuff, finger and knuckles assigned letters in red ink, further description in black ink.
Guidonian Hand. Collection of Musical Treatises, compiled by Johannes Franciscus Preottonus, 1465–1477, folio 80v. ML171 .J6.

According to a legend that is narrated in a treatise[2] in this same manuscript collection, Pythagoras walked past a smithy and heard several blacksmiths flattening iron with five hammers of differing weights. The heavier hammers produced lower pitches and the hammers of lighter weight produced higher pitches. Marveling at their pure sounds, Pythagoras rushed home and stretched strings across a wooden board. The lengths of the strings were proportional to the weights of the between the hammers. As such, they produced the same pitches as the hammers, but with a perfectly consonant sound. These proportions must be the foundation of the universe—or so the theorists claimed. But how could this be? Boethius explained that the human body was also musical, and a mirror image of the cosmos. By performing music in perfect harmony, it was possible to hear an approximated sound of the universe.

Of course, such perfection is impossible to achieve, but theorists produced many instructional texts for teaching how to sing with great accuracy. In addition to two diagrams of the universe, this same manuscript volume contains three full-page drawings of a left hand with writing on each knuckle. These drawings helped singers to learn new melodies either by ear or from written notation. Now known as Guidonian hands, they are named after Guido of Arezzo, an eleventh-century monk and key figure in the development of music notation.


Guido invented the musical staff—the set of parallel lines and spaces that we use today when writing down traditional Western music notation. He also named notes using a series a syllables: Ut, Re, Mi, Fa, So, La.[3]  This may remind you of the song “Do-Re-Mi” from Richard Rodgers and Oscar Hammerstein’s musical The Sound of Music (1959) in which Maria teaches the Von Trapp children how to sing. Each line of its lyric begins with a one-syllable word, Doe, Ray, Me, Far, Sew, La, Tea, sung in order to the notes of the scale.

Black and white printed image of hand with text and musical notation along fingers and wrist. Block text at the palm.
Guidonian Hand. Tractatus musices, anonymous, circa 1500, title page. ML171 .T81

Guido, or more likely later theorists working under his name, created the hand diagram as a mnemonic device to make it easier to use these syllables, known as solfège, when singing a new piece of music. On the diagrams, the name of one or more syllables of a hexachord are written on each knuckle. Sometimes, the diagram would include a picture of the note written on the staff, as well. A singer would point to the correct knuckle for each pitch on their hand when singing a melody, which would help them visualize and, in turn, more quickly memorize the melody. So, if you need help with your singing, consult the Music Division’s digitized materials; several sources are ready to lend a hand.[4]

Perusing other theory manuscripts in the collections may also surprise you with other illustrations that, like diagrams of the universe and the Guidonian hands, help us visualize and understand both medieval performance and instructional practices as well as the ways in which theorists understood music as more than notes on a page.



[1] “Spooky Space ‘Sounds,’” National Air and Space Administration, October 26, 2017, accessed July 12, 2021,

[2] Marchetto of Padua, Lucidarium

[3] Guido took these syllables from the first word of each line of text of the Roman Catholic hymn Ut queant laxis: Ut queant laxis / Re-sonare fibris / Mi-ra gestorum / Fa-muli tuorum / So-lve pollutis / La-bii reatum

[4] Other sources containing Guidonian hands include printed copies of the anonymous Tractatus musices, Gregorius Faber’s Mvsices practicæ erotematum libri II Mvsices practicae erotematum libri II and Gonçalo Martínez de Bizcargui’s Arte de canto Ilano y contrapunto y canto.


  1. Despite the casual nature suggested by the term “blog”, to the extent that this is being posted by a Library employee and appears on the Library website, one can only hope that some even cursory review for accuracy is being applied prior to posting, disclaimers and display of Ph.D. following the blogger’s name notwithstanding.
    The blogger starts out with a straightforward description of the selected diagram: “It displays the cosmos as a set of *concentric circles*. The *earth is at the center*, … *the Sun*, … all of which *rotate around the stationary earth*”
    The blogger then rockets into an alternate universe with a Library-unworthy personal opinion: “*This is not far off from what modern science has discovered*”

    Indeed, the blogger then displays the absurdity of that assertion by stating what “modern” science has discovered “the planets revolve around the sun in an elliptical motion.” Perhaps the blogger has heard of Copernicus?

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