Violin intonation on the harmonics), losing the desired tone, brilliance and intonation. String longevity depends on string quality and playing intensity. A violin is tuned in fifths, in the notes G, D, A, E. The lowest note of a violin, tuned normally, is G, or G below middle C. (On rare occasions, the lowest string may be tuned down by as much as a fourth, to D.) The highest note is less well defined: E, the E two octaves above the open string (which is tuned to E) may be considered a practical limit for orchestral violin parts, but it is
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