MIDI, Extended Pitches, and Tuning in Music

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Explore the world of MIDI, extended pitches, tuning, and temperament in music, covering topics such as pitch notations, different scales, MIDI tuning, and more. Delve into the complexities of tonal notation, enharmonic accuracy, and the evolution of music synthesis techniques like Music V and Csound.

  • Music Theory
  • MIDI
  • Pitches
  • Tuning
  • Temperament

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  1. MIDI and extended pitches Tuning and Temperament

  2. Pitch: Notated pitch relative to key Absolute key number 36 etc. 48 C 8ve below Middle C 60 Middle C 72 C 8ve above Middle C 84 etc. Absolute pitch = 90 Pitch names are contextual F#/Gb/E## CS 275A/Music 253 2021 Eleanor Selfridge-Field 2

  3. MIDI: Tuning, temperament, expression Max Mathews, CCRMA: Radio Baton (emphasized expression tempo, dynamics) https://www.youtube.com/watch?v=3ZOzUVD4oLg CS 275A/Music 253 2021 Eleanor Selfridge-Field 3

  4. Pitch and timbre: Music V and CSound Approaches that define sounds Music V: Max Mathews (Bell Labs, 1960s, 1970s) Csound: Barry Vercoe (MIT, 1980s, 1990s) score scot Strengths: decimal system using cents (frequency) Instruments can be arbitrary (scot) Arbitrary objects can be encoded (pling command) Canonical Csound Reference Manual: http://csounds.com/manual/html/indexframes.html Tutorial: https://www.youtube.com/watch?v=rkBIUrJoJ3Y CS 275A/Music 253 2021 Eleanor Selfridge-Field 4

  5. Shortcomings: tuning, Temperament Diatonic scale Pitch Non-Western Non-equally tempered Interpretation of accidentals (inflections) Modes vs. chromatic scale Blues scale CS 275A/Music 253 2021 Eleanor Selfridge-Field 5

  6. Mapping (or not) to the chromatic scale Diatonic=8 tones Chromatic=12 tones Pentatonic=5 tones Lady playing tanpura, c. 1735 CS 275A/Music 253 2021 Eleanor Selfridge-Field 6

  7. MIDI vis--vis Notation Enharmonic accuracy hard to guarantee when input is MIDI-based Inherent non-alignment of key numbers vis- -vis note names One more bit-based MIDI extension: Hewlett s MIDIPlus See https://patents.google.com/patent/US5675100A/en?inventor=Hewle tt+Walter+B.&oq=Hewlett+Walter+B. CS 275A/Music 253 2021 Eleanor Selfridge-Field 7

  8. Hewletts MIDI Plus for accurate tonal notation (How to make MIDI enharmonically accurate) Method Reassign two bits from velocity byte US Patent #5675100 (1996) http://www.google.com/patents?id=6RclAAAAEBAJ&p g=PA2&source=gbs_selected_pages&cad=4#v=onepag e&q&f=false CS 275A/Music 253 2021 Eleanor Selfridge-Field 8

  9. Complements Base-40 music arithmetic (8th week) Method for enharmonic accuracy Key number = 90 Note name depends on context Captured bit specifies name: 00 not known 01 Gb 10 F# 11 Ex (E##) Pitch names are contextual F#/Gb/E## CS 275A/Music 253 2021 Eleanor Selfridge-Field 9

  10. MIDI Plus (How to make MIDI enharmonically accurate) Method Reassign two bits from velocity byte US Patent #5675100 (1996) http://www.google.com/patents?id=6RclAAAAEBAJ&p g=PA2&source=gbs_selected_pages&cad=4#v=onepag e&q&f=false CS 275A/Music 253 2021 Eleanor Selfridge-Field 10

  11. Non-equal temperament Baroque tunings Just intonation Meantone Werckmeister III ( short octaves , split keys) Arbitrary 8ve arrangements CS 275A/Music 253 2021 Eleanor Selfridge-Field 11

  12. Vicentinos enharmonic harpsichord (pitch equivalents in cents) Music for enharmonic harpsichord (from c. 1550) by Martino Pesenti (c. 1650) CS 275A/Music 253 12 2021 Eleanor Selfridge-Field

  13. Roland digital harpsichord series (1988--) Three modes Equal-tempered Meantone Werckmeister III Two acoustic contexts Room Hall Two instruments Organ Harpsichord Five stops Harpsichord 1-manual Harpsichord 2-manual Flemish Lute https://www.youtube.com/watch?v=zZSlHVifRps CS 275A/Music 253 2021 Eleanor Selfridge-Field 13

  14. MIDI in use: Historical vs digital harpsichords Original 16th-century instrument: National Music Museum, Vermilion, SD https://www.youtube.com/watch?v=aq9iwjyq6u0 Alteration of tuning, temperament https://www.youtube.com/watch?v=W2gOI1p_0iM [Vallotti tuning, English Renaissance music] Split keys, Renaissance harpsichords: https://www.youtube.com/watch?v=D0OveRacKH0 CS 275A/Music 253 2021 Eleanor Selfridge-Field 14

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