Double bass fifths point out that all of the other orchestral strings are tuned in fifths (violin, viola, and cello), so this puts the bass in the same tuning approach. Fifth tuning provides a bassist with a wider range of pitch than a standard E–A–D–G bass, as it ranges (without an extension) from C to A. Some players who use fifths tuning who play a five-string bass use an additional high string (thus, from lowest to highest: C–G–D–A–E). Some fifth tuning bassists who only have a four string instrument and who are mainly performing soloistic works use the G–D–A–E tuning, thus omitting
Pitch space musical instruments: by moving one's hands a very short distance on a violin string, one can move arbitrarily far in these multiple-dimensional models. For this reason, it is hard to assess the psychological relevance of distance as measured by these lattices. The idea of pitch space goes back at least as far as the ancient Greek music theorists known as the Harmonists. To quote one of their number, Bacchius, "And what is a diagram? A representation of a musical system. And we use a diagram so that, for students of the subject, matters which are hard to grasp with the