Arts, Music, Theory, Tuning Systems

    Top: Arts: Music: Theory: Tuning_Systems:

• - (1875-1965), Mexican music creator of the microtonal system called the 13th Sound. He reformed the theory of music, invented a new musical written based in numbers and built instrument capable to produce those small intervals.
  
• - Table comparing various temperaments, including Equal Temperament, Pythagorean, another natural tuning, two mean-tone tunings, two Well temperaments, two Indian tunings, and two Persian tunings.
  
• - On the development of tuning systems in Medieval Europe (Kirnberger, Young, and mean-tone systems).
  
• - Pitch Palette software tunes a microtunable synthesizer to just intonation, world scales, historic scales and user scales in real time.
  
• - Introduction to tuning systems, based on the cents system. Written by Terry Blackburn.
  
• - Excel spreadsheet that analyzes keyboard temperaments: gives beat rates for tuning, and harmonic-tension charts in all keys.
  
• - Article by Margo Schulter.
  
• - 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.
  
• - Two academic papers, covering music before 1750, and music during the Classical and Romantic periods.
  
• - Includes information on the differences between equal temperament and well temperament and why Bach rejected equal temperament and celebrated well temperament.
  
• - Tunings used for harpsichords.
  
• - Construction of a reference center of scale measurements throughout the world.
  
• - Center for microtonal music. Promotes microtonal music in all its forms
  
• - Paper on the history of the tuning system, as well as information about tuning a harpsichord in this system.
  
• - Written by Stephen Bicknell for the electronic mailing list Piporg-l.
  
• - An introduction to equal temperament for guitarists who have problems tuning their guitars.
  
• - Lerdahl's cognitive constraints.
  
• - Tool for the study of temperament anomalies.
  
• - Basic introduction to the Pythagorean circle of fifths and the physical basis for the need for alternative tuning systems.
  
• - Article by David Courtney.
  
• - The author presents a graphical tool for the visualization of consonance and dissonance, based on an acoustical model of the interaction of musical tones.