Time unit box system

Time Unit Box System (TUBS) is a simple system for notating events that happen over a period. This system is mostly used for notating rhythms in music. The notation consists of one or more rows of boxes; each box represents a fixed unit of time. Blank boxes indicate that nothing happens during that interval, while a mark in a box indicates that an event occurs at the start of that time interval.

For the former boarding school with the acronym TUBS, see Tokai University Boarding School in Denmark.

TUBS is most useful for showing relationships between complex rhythms, such as polyrhythms, that would be difficult to see in traditional musical notation. TUBS also has the advantage that non-musicians can interpret it much more easily than musical notation, because of its simplicity.

The term "TUBS" and the notation was originally used by musicologists Philip Harland and James Koetting to notate polyrhythms in African music in the early 1960s.[1] However, Joseon composer Bak Yeon(박연)'s invention of similar but unrelated notation jeongganbo(정간보, image) to notate Korean court music dates back to middle of the 15th century.

TUBS notation has been adapted by several people; the most common adaptations use different symbols in the boxes to represent different sounds, for example different ways of hitting a drum or even different musical pitches. In fact, tracker notation is essentially TUBS rotated by 90 degrees.

Examples

Below is an example in TUBS, followed by a similar representation in traditional music notation.

TUBS
X       X       X   X   X      
    X       X   X   X X X X    

Traditional
\relative c' { \new Staff << \new Voice = "first" { \voiceOne c'4 c c8 c c4 } \new Voice = "second" { \voiceTwo r8 f, r f f f16 f f f r8 } >> }

Below is an example of an adapted TUBS score depicting a percussion pattern for multiple instruments. One benefit with the TUBS system is that it clearly relates which drum is to be struck (as the symbol will be solid, hollow, etc. uniquely for each drum) as opposed to different drums being notated via a different line of the musical staff, which can be more difficult to see. More importantly, the symbol used inside of each Time Unit Box relates how the drum is to be struck (open tone, slap, bass, rim-shot, etc.) which is not as easily conveyed with the musical staff notation.

References
  1. Koetting, James "Analysis and Notation of West African Drum Ensemble Music." Selected Reports in Ethnomusicology 1(3) - 1970: 116-46



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