The first rule of tinkering is to save all the parts.
"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 discover "pajara temperament" and its decatonic scales in 22 equal temperament/22-ET. He holds a Bachelor of Science degree in physics from Yale/Yale University.
His invention of "harmonic entropy" has received significant attention from music theorists such as William Sethares. It is intended to model one of the components of consonance and dissonance/dissonance as a measure of the uncertainty of the virtual pitch/virtual pitch ("missing fundamental") evoked by a set of two or more pitches. This measures how easy or difficult it is to fit the pitches into a single harmonic series. For example most listeners rank a 4:5:6:7 chord as far more consonant than 1/7:1/6:1/5:1/4. Both have exactly the same set of intervals between the notes but the first one is easy to fit into a single harmonic series. (The other components of dissonance not modeled by this theory include critical band roughness as well as tonal context (e.g. an augmented second is more dissonant than a minor third although the interval, 300 cents, is the same for both).)
More Paul Erlich on Wikipedia.To err is human, but to really foul things up you need a computer.
The National Academy of Sciences would be unable to give a unanimous decision if asked whether the sun would rise tomorrow.
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