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Tuning Systems

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Just Intonation
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Microtonal
 
Websites
 
  • Justonic Tuning Inc. - http://www.justonic.com/
    • Pitch Palette software tunes a microtunable synthesizer to just intonation, world scales, historic scales and user scales in real time.
  • World Scale Depository - http://www.anaphoria.com/depos.html
    • Construction of a reference center of scale measurements throughout the world.
  • Pythagorean Tuning and Medieval Polyphony - http://www.medieval.org/emfaq/harmony/pyth.html
    • Article by Margo Schulter written in 1998.
  • Tuning and Temperament Bibliography - http://www.xs4all.nl/~huygensf/doc/bib.html
    • Extensive list of print books, magazines, and journal articles on tuning systems.
  • Understanding Temperaments - http://pages.globetrotter.net/roule/temper.htm
    • Tunings used for harpsichords.
  • Tuning by Ratios - http://www.leeds.ac.uk/music/studio/rproj_swss/tuning/tuning.htm
    • This paper explores the use of simple ratios to tune musical intervals and chords. Included are a tutorial, a set of computer programs, and a re-tuned two-part invention by J.S. Bach.
  • Equal Temperament Tuning - http://users.adelphia.net/~cygnusx_1/equal_temperament.html
    • An introduction to equal temperament for guitarists who have problems tuning their guitars.
  • A Tour Up The Harmonic Series - http://www.redshift.com/~dcanright/harmser/
    • Basic introduction to the Pythagorean circle of fifths and the physical basis for the need for alternative tuning systems.
  • An Introduction to Historical Tunings - http://www.kylegann.com/histune.html
    • Discusses the development of tuning systems in Medieval Europe.
  • Dictionary of Microtonal Music Theory - http://www.tonalsoft.com/enc/encyclopedia.aspx
    • Dictionary of common terms used in just tuning and equal temperament style tunings.
  • The Development of Musical Tuning Systems - http://www.midicode.com/tunings/
    • The historical development of musical tuning systems from ancient Greek origins to the development of equal temperament.
  • Historical Tunings on the Modern Concert Grand - http://www.uk-piano.org/edfoote/
    • Tradational tunings of the grand piano and Beethoven's specific tunings.
  • Musical Tunings and Temperaments - http://www.j2b.co.uk/tuning/
    • Color-coded descriptions of tunings and temperaments from the 9th Century through the 16th Century.
  • Larpis.com - http://www.larips.com
    • Previously unknown temperament found on the autograph title page of the "Well-Tempered Clavier"; published 2005. Includes explanations and links to scholarly articles.
  • Keyboard temperament analyzer/calculator - http://www-personal.umich.edu/~bpl/temper.html
    • Excel spreadsheet that analyzes keyboard temperaments: gives beat rates for tuning, and harmonic-tension charts in all keys.
  • Pitch and Scale of the Great Highland Bagpipe - http://www-personal.umich.edu/~emacpher/pipes/acoustics/pipescale.html
    • Describes proper tunings and scale construction for the Great Highland Bagpipe.
  • Tantrum - http://www.musanim.com/mam/tantrum.html
    • Tool for the study of temperament anomalies.
  • The Argument for Equal Temperament - http://eamusic.dartmouth.edu/~kov/lerdahl/eqtemp.html
    • Fred Lerdahl's paper regarding the use of equal temperament over just tuning.
  • Alternate Temperaments: Theory and Philosophy - http://www.terryblackburn.us/music/temperament/index.html
    • Introduction to tuning systems, based on the Western cents system. Written by Terry Blackburn.
  • Comparison of Temperaments - http://members.pcug.org.au/~apurdam/tempers.html
    • Table comparing various Western and Non-Western temperaments.
  • Historical Tuning - http://users.bestweb.net/~rmp/
    • Includes information on the differences between equal temperament and well temperament and why Bach rejected equal temperament and celebrated well temperament.

 
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