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Tuning Systems

Arts > Music > Theory > Tuning Systems

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	Pythagorean Tuning and Medieval Polyphony - http://www.medieval.org/emfaq/harmony/pyth.html Article by Margo Schulter written in 1998.
	An Introduction to Historical Tunings - http://www.kylegann.com/histune.html Discusses the development of tuning systems in Medieval Europe.
	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.
	Understanding Temperaments - http://pages.globetrotter.net/roule/temper.htm Tunings used for harpsichords.
	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.

	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.
	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.
	Historical Tunings on the Modern Concert Grand - http://www.uk-piano.org/edfoote/ Tradational tunings of the grand piano and Beethoven's specific tunings.
	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.
	World Scale Depository - http://www.anaphoria.com/depos.html Construction of a reference center of scale measurements throughout the world.

	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.
	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.
	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.
	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.
	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.

	Tuning and Temperament Bibliography - http://www.xs4all.nl/~huygensf/doc/bib.html Extensive list of print books, magazines, and journal articles on tuning systems.
	http://www.musanim.com/mam/tantrum.html - 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.
	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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