Carl Lumma
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**Carl Lumma** (b. 1977) is a man with varied interests, including: energy policy & nuclear engineering, macroeconomics, game theory & mechanism design, artificial intelligence & cognitive computing, haptics & UX design, music theory & psychoacoustics, music composition, and the game of chess. Making his home in the San Francisco bay area, he has worked as an editor at [[http://www.keyboardmag.com|Keyboard magazine]] and as a program manager at [[http://www.apple.com|Apple Inc]]. Here's a partial list of his music theory stuff: 28-string Cosmolyra after Ivor Darreg Isomorphic keyboard mapping for 5-limit just intonation Marvel temperament: 225/224 is a critical 7-limit comma Spectral analysis shows accurate 7-limit intonation in barbershop music Archimedean keyboards Rothenberg stability in pitch space Stellated Combination Product Sets: How many tones? Xenharmonic Moving Windows: Extended JI with conventional keyboards MIDI-based adaptive tuning by common-tone matching Generalizing diatonicity Classification of microtonal notation systems Triadic beat ratios do not predict listener preference New well temperaments from first principles Successive improvements in 17-limit TOP damage for the first 100 ETs Logflat-best rank 1 temperaments up to 100 notes/octave Beyond limits: Optimal subgroups for equal temperaments A quantitative measure for the strength of chord progressions Maximum dyadic error of triads in equal temperaments Optimal tunings for adaptive just intonation The MOS theorem: well-formed scales are tempered Fokker blocks Stuff of a more tutorial nature: The alternative tuning FAQ (draft) Cross-sets Primer The Too-Condensed Tuning-Math Outline Elsewhere on the web: [[http://plus.google.com/115045287509032322837/|Google Plus]] [[http://www.facebook.com/clumma|Facebook]] [[http://www.quora.com/Carl-Lumma/answers|Quora]] [[http://lumma.org/microwave/|personal blog]] [[http://www.reddit.com/user/clumma/|reddit]] [[http://en.wikipedia.org/wiki/Special:Contributions/Beefman|Wikipedia contributions]]
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<html><head><title>Carl Lumma</title></head><body><strong>Carl Lumma</strong> (b. 1977) is a man with varied interests, including: energy policy & nuclear engineering, macroeconomics, game theory & mechanism design, artificial intelligence & cognitive computing, haptics & UX design, music theory & psychoacoustics, music composition, and the game of chess. Making his home in the San Francisco bay area, he has worked as an editor at <a class="wiki_link_ext" href="http://www.keyboardmag.com" rel="nofollow">Keyboard magazine</a> and as a program manager at <a class="wiki_link_ext" href="http://www.apple.com" rel="nofollow">Apple Inc</a>. Here's a partial list of his music theory stuff:<br /> <br /> 28-string Cosmolyra after Ivor Darreg<br /> Isomorphic keyboard mapping for 5-limit just intonation<br /> Marvel temperament: 225/224 is a critical 7-limit comma<br /> Spectral analysis shows accurate 7-limit intonation in barbershop music<br /> Archimedean keyboards<br /> Rothenberg stability in pitch space<br /> Stellated Combination Product Sets: How many tones?<br /> Xenharmonic Moving Windows: Extended JI with conventional keyboards<br /> MIDI-based adaptive tuning by common-tone matching<br /> Generalizing diatonicity<br /> Classification of microtonal notation systems<br /> Triadic beat ratios do not predict listener preference<br /> New well temperaments from first principles<br /> Successive improvements in 17-limit TOP damage for the first 100 ETs<br /> Logflat-best rank 1 temperaments up to 100 notes/octave<br /> Beyond limits: Optimal subgroups for equal temperaments<br /> A quantitative measure for the strength of chord progressions<br /> Maximum dyadic error of triads in equal temperaments<br /> Optimal tunings for adaptive just intonation<br /> The MOS theorem: well-formed scales are tempered Fokker blocks<br /> <br /> Stuff of a more tutorial nature:<br /> The alternative tuning FAQ (draft)<br /> Cross-sets Primer<br /> The Too-Condensed Tuning-Math Outline<br /> <br /> Elsewhere on the web:<br /> <a class="wiki_link_ext" href="http://plus.google.com/115045287509032322837/" rel="nofollow">Google Plus</a><br /> <a class="wiki_link_ext" href="http://www.facebook.com/clumma" rel="nofollow">Facebook</a><br /> <a class="wiki_link_ext" href="http://www.quora.com/Carl-Lumma/answers" rel="nofollow">Quora</a><br /> <a class="wiki_link_ext" href="http://lumma.org/microwave/" rel="nofollow">personal blog</a><br /> <a class="wiki_link_ext" href="http://www.reddit.com/user/clumma/" rel="nofollow">reddit</a><br /> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Special:Contributions/Beefman" rel="nofollow">Wikipedia contributions</a></body></html>