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Notation

Tempus

Tempus (Latin “time”) denotes in the mensural notation of the Middle Ages and Renaissance the division of the brevis: in three with the full circle, in two with the half circle. From the open half circle arose today's C for 4/4 time, and crossed through it became the alla breve sign.

Meaning
time, division of the brevis
Full circle
tempus perfectum, in three
Half circle
tempus imperfectum, in two
Today
C = 4/4, ¢ = alla breve (2/2)
Period
Middle Ages to Renaissance

From the circle to the C

The page Rhythm says it briefly: four-four time is also written “C”, from tempus imperfectum. The page Notation symbols explains the origin in more detail: mensuration signs stand at the beginning of a voice as the time signature does today. The circle counted as the symbol of perfection, of the Trinity, which is why the division in three is called “perfectum”. The open half circle shows the “imperfect” time in two.

SignNameDivisionModern equivalent
Full circleTempus perfectumbrevis = 3 semibrevesroughly 3/2
Circle with dotTempus perfectum, prolatio perfectabrevis = 9 minimsroughly 9/8
Half circle with dotTempus imperfectum, prolatio perfectabrevis = 6 minimsroughly 6/8
Half circleTempus imperfectumthroughout in tworoughly 4/4 or 2/2, today's C

From the half circle without a dot arose, according to the page, today's C for 4/4 time, crossed through it became the alla breve sign. The ¢ stands for 2/2 time, that is two half notes per bar. The signs with a dot determine the prolatio, the division of the semibreve. That gives roughly 9/8 for the circle with a dot and 6/8 for the half circle with a dot, frequent in French music of the 14th century, for instance in Guillaume de Machaut.

C and ¢ in the sheet music archive

Guitar

Piano

Voice and piano

The sign ¢ appears in Beethoven and in the Fledermaus aria, the plain C for instance in Mertz. The two signs are not interchangeable: the crossed-out one stands for alla breve time. A “4/4” would be wrong for the Moonlight Sonata.

Try it yourself: Look at the mensuration signs on the page Notation symbols and compare them with the C and the ¢ in the three sheets above.

Common mistakes

  • Equating C and ¢: The crossed-out sign is alla breve time.
  • Taking the C for “common time”: The letter comes from the half circle of tempus imperfectum.
  • Reading mensuration signs like time signatures: They fix the division of time, the modern equivalent is only approximate.