music-glossary: mensuration sign
1.192 mensuration sign
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ES: signo de mensuración, I: indicazione mensurale, F: signe de
mensuration, D: Mensurzeichen, NL: ?, DK: ?, S: ?, FI: ?.
The ancestor of the time signature, mensuration signs were used to
indicate the relationship between two sets of note
durationsâspecifically, the ratio of breves to semibreves (called
tempus), and of semibreves to minims (called prolatio).
Each ratio was represented with a single single sign, and was either
three-to-one (ternary) or two-to-one (binary), as in modern music
notation. Unlike modern music notation, the _ternary_ ratio was the
preferred oneâapplied to the _tempus_, it was called _perfect_, and was
represented by a complete circle; applied to the _prolatio_, it was
called _major_ and was represented by a dot in the middle of the sign.
The binary ratio applied to the _tempus_ was called _imperfect_, and was
represented by an incomplete circle; applied to _prolatio_, it was
called _minor_ and was represented by the lack of an internal dot.
There are four possible combinations, which can be represented in modern
time signatures with and without reduction of note values. (These signs
are hard-coded in LilyPond with reduction.)
âperfect _tempus_ with major _prolatio_â
Indicated by a complete circle with an internal dot. In modern
time signatures, this equals:
⢠9/4, with reduction or
⢠9/2, without reduction
âperfect _tempus_ and minor _prolatio_â
Indicated by a complete circle without an internal dot. In modern
time signatures, this equals:
⢠3/2, with reduction or
⢠3/1, without reduction
âimperfect _tempus_ and major _prolatio_â
Indicated by an incomplete circle with an internal dot. In modern
time signatures, this equals:
⢠6/4, with reduction or
⢠6/2, without reduction
âimperfect _tempus_ and minor _prolatio_â
Indicated by an incomplete circle without an internal dot. In
modern time signatures, this equals:
⢠4/4, with reduction or
⢠2/1, without reduction
The last mensuration sign _looks_ like common-time because it _is_,
with note values reduced from the original semibreve to a modern quarter
note. Being doubly imperfect, this sign represented the (theoretically)
least-preferred mensuration, but it was actually used fairly often.
This system extended to the ratio of longer note values to each
other:
⢠maxima to longa, called:
⢠modus maximorum,
⢠modus major, or
⢠maximodus)
⢠longa to breve, called:
⢠modus longarum,
⢠modus minor, or
⢠modus
In the absence of any other indication, these modes were assumed to
be binary. The mensuration signs only indicated tempus and prolatio, so
composers needed another way to indicate these longer ratios (called
modes. Around the middle of the 15th century started to use groups of
rests at the beginning of the staff, preceding the mensuration sign.
Two mensuration signs have survived to the present day: the C-shaped
sign, which originally designated tempus imperfectum and prolatio minor
now stands for common time; and the slashed C, which designated the same
with diminution now stands for cut time (essentially, it has not lost
its original meaning).
See also
........
diminution, proportion, time signature.