MIDI Tuning Standard MIDI Manufacturers Association, Musical Instrument Digital Interface, Hertz, Pitch class

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. MIDI Tuning Standard (MTS) is a specification of precise musical pitch agreed to by the MIDI Manufacturers Association in the MIDI protocol. MTS allows for both a bulk tuning dump message, giving a tuning for each of 128 notes, and a tuning message for individual notes as they are played. If ? is a frequency in hertz, then the corresponding logarithmic frequency value may be computed by d = 69 + 12 \cdot \log_2(f/440).\.Since 440 Hz is a widely-used standard concert A (e.g. USA, UK), and since that is represented in MIDI terms by the integer 69 (nine semitones above middle C, which is 60), this gives a real number which expresses pitch in a manner consistent with MIDI and integer notation. These numerical units do not seem to have a recognized name, though it has been called the dollar in analogy to cents. While "dollars" and cents do not represent the same thing, since the former is a logarithmic measure of frequency and the latter a logarithmic measure of frequency ratios, a difference of one dollar equals one hundred cents. Given this "dollar" value, converting back to frequency is computed by f = 440 \cdot 2^{(d-69)/12}. so that the two notations are equivalent. Sprache: Englisch Gewicht in Gramm: 161.…