Carl Lumma
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**Carl Lumma** (b. 1977) is a man with varied interests, including: energy policy and nuclear engineering, macroeconomics, game theory and mechanism design, artificial intelligence and cognitive computing, haptics and UX design, music theory and 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]]. Below is a partial listing of articles of his on music theory: [[http://lumma.org/music/theory/cosmo/CosmolyraInstructions.txt|28-string Cosmolyra after Ivor Darreg]] [[http://lumma.org/music/theory/keys/DiatonicCrossSet.png|Isomorphic keyboard mapping for 5-limit just intonation]] Marvel temperament: 225/224 is a critical 7-limit comma [[http://lumma.org/music/theory/spectro/|Spectral analysis reveals accurate 7-limit intonation in barbershop music]] [[http://lumma.org/music/theory/keys/arch/|Archimedean keyboards]] [[Lumma Stability|Rothenberg stability in pitch space]] Stellated Combination Product Sets: How many tones? [[http://lumma.org/music/theory/XMW.txt|Xenharmonic Moving Windows: Extended JI with conventional keyboards]] [[http://lumma.org/music/theory/AdaptiveTuning.txt|MIDI-based adaptive tuning by common-tone matching]] [[http://lumma.org/music/theory/gd/gd3-spec.txt|Generalizing diatonicity]] Triadic beat ratios do not predict listener preference New well temperaments from first principles [[http://lumma.org/music/theory/TOPDamageOfETs.txt|Successive improvements in 17-limit TOP damage for the first 100 ETs]] [[http://lumma.org/music/theory/TOPBadnessOfETs.txt|Logflat-best rank 1 temperaments up to 100 notes/octave]] [[http://lumma.org/music/theory/notation/|Classification of microtonal notation systems]] [[http://lumma.org/music/theory/subgroup/|Beyond limits: Optimal subgroups for equal temperaments]] [[http://lumma.org/music/theory/ProgressionStrength.txt|A quantitative measure for the strength of chord progressions]] [[http://lumma.org/music/theory/MaxETError.txt|Maximum dyadic error of triads in equal temperaments]] The MOS theorem: Well-formed scales are tempered Fokker blocks Stuff of a more tutorial nature: [[http://lumma.org/tuning/faq/|The alternative tuning FAQ (draft)]] [[http://lumma.org/music/theory/CrossSetsPrimer.txt|Cross-sets Primer]] [[http://lumma.org/music/theory/tctmo/|The Too-Condensed Tuning-Math Outline]] Carl has been a moderator of the [[http://groups.yahoo.com/group/tuning/|Tuning]] and [[http://groups.yahoo.com/group/tuning-math/|Tuning-math]] mailing lists. Some of his recent posts are collected [[Tuning List Reviews|here]] and some ancient posts are [[http://lumma.org/words/forums/CKL-Tuning97-00.txt|here]]. Elsewhere on the web: [[http://lumma.org|Home page]] [[http://plus.google.com/115045287509032322837/|Google Plus]] [[http://twitter.com/clumma/favorites|Twitter]] [[http://www.quora.com/Carl-Lumma/answers|Quora]] [[http://www.reddit.com/user/clumma/|reddit]] [[http://en.wikipedia.org/wiki/Special:Contributions/Beefman|Wikipedia contributions]]
Original HTML content:
<html><head><title>Carl Lumma</title></head><body><strong>Carl Lumma</strong> (b. 1977) is a man with varied interests, including: energy policy and nuclear engineering, macroeconomics, game theory and mechanism design, artificial intelligence and cognitive computing, haptics and UX design, music theory and 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>. Below is a partial listing of articles of his on music theory:<br /> <br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/cosmo/CosmolyraInstructions.txt" rel="nofollow">28-string Cosmolyra after Ivor Darreg</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/keys/DiatonicCrossSet.png" rel="nofollow">Isomorphic keyboard mapping for 5-limit just intonation</a><br /> Marvel temperament: 225/224 is a critical 7-limit comma<br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/spectro/" rel="nofollow">Spectral analysis reveals accurate 7-limit intonation in barbershop music</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/keys/arch/" rel="nofollow">Archimedean keyboards</a><br /> <a class="wiki_link" href="/Lumma%20Stability">Rothenberg stability in pitch space</a><br /> Stellated Combination Product Sets: How many tones?<br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/XMW.txt" rel="nofollow">Xenharmonic Moving Windows: Extended JI with conventional keyboards</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/AdaptiveTuning.txt" rel="nofollow">MIDI-based adaptive tuning by common-tone matching</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/gd/gd3-spec.txt" rel="nofollow">Generalizing diatonicity</a><br /> Triadic beat ratios do not predict listener preference<br /> New well temperaments from first principles<br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/TOPDamageOfETs.txt" rel="nofollow">Successive improvements in 17-limit TOP damage for the first 100 ETs</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/TOPBadnessOfETs.txt" rel="nofollow">Logflat-best rank 1 temperaments up to 100 notes/octave</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/notation/" rel="nofollow">Classification of microtonal notation systems</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/subgroup/" rel="nofollow">Beyond limits: Optimal subgroups for equal temperaments</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/ProgressionStrength.txt" rel="nofollow">A quantitative measure for the strength of chord progressions</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/MaxETError.txt" rel="nofollow">Maximum dyadic error of triads in equal temperaments</a><br /> The MOS theorem: Well-formed scales are tempered Fokker blocks<br /> <br /> Stuff of a more tutorial nature:<br /> <a class="wiki_link_ext" href="http://lumma.org/tuning/faq/" rel="nofollow">The alternative tuning FAQ (draft)</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/CrossSetsPrimer.txt" rel="nofollow">Cross-sets Primer</a><br /> <a class="wiki_link_ext" href="http://lumma.org/music/theory/tctmo/" rel="nofollow">The Too-Condensed Tuning-Math Outline</a><br /> <br /> Carl has been a moderator of the <a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/" rel="nofollow">Tuning</a> and <a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/" rel="nofollow">Tuning-math</a> mailing lists. Some of his recent posts are collected <a class="wiki_link" href="/Tuning%20List%20Reviews">here</a> and some ancient posts are <a class="wiki_link_ext" href="http://lumma.org/words/forums/CKL-Tuning97-00.txt" rel="nofollow">here</a>.<br /> <br /> Elsewhere on the web:<br /> <a class="wiki_link_ext" href="http://lumma.org" rel="nofollow">Home page</a><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://twitter.com/clumma/favorites" rel="nofollow">Twitter</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://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>