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Paul Erlich

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For other people with similar names, see Paul Ehrlich (disambiguation).
Harmonic entropy for triads with lower interval and upper interval each ranging from 200 to 500 cents. Compare 4:5:6ⓘ, 6:7:9ⓘ, and 10:12:15ⓘ. See full resolution for locations of the triads on the plot

Paul Erlich (born 1972) is a guitarist and music theorist living near Boston, Massachusetts. He is known for his seminal role in developing the theory of regular temperaments, including being the first to define pajara temperament[1][2] and its decatonic scales in 22-ET.[3] He holds a Bachelor of Science degree in physics from Yale University.

His definition of harmonic entropy influenced by Ernst Terhardt[4] has received attention from music theorists such as William Sethares. It is intended to model one of the components of dissonance as a measure of the uncertainty of the virtual pitch ("missing fundamental") evoked by a set of two or more pitches.

References

  1. ^ "Pajara", on Xenharmonic Wiki. Accessed 2013-10-29.[dead link]
  2. ^ ""Alternate Tunings Mailing List", Yahoo! Groups". Archived from the original on 5 November 2013. Retrieved 3 May 2019.{{cite web}}: CS1 maint: bot: original URL status unknown (link)
  3. ^ Erlich, Paul (1998). "Tuning, Tonality, and Twenty-Two-Tone Temperament" (PDF). Xenharmonikôn. 17.
  4. ^ Sethares, William A. (2004). Tuning, Timbre, Spectrum, Scale (PDF). pp. 355–357.

External links

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