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'''Carl Lumma''' (b. 1977) is a man with varied interests, including nuclear engineering, macroeconomics, and music theory. Making his home in silicon valley, he has worked as an editor at Keyboard magazine and as a program manager at Apple. Carl has been a moderator of the Tuning and Tuning-math mailing lists. Some of his recent posts are collected [[Mailing_list_articles_by_Carl_Lumma | here]] and some ancient posts are [http://lumma.org/words/forums/Tuning-CKL97-00.html here].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:clumma|clumma]] and made on <tt>2011-08-14 15:34:49 UTC</tt>.<br>
: The original revision id was <tt>245893315</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**Carl Lumma** (b. 1977) is a man with varied interests, including: energy policy &amp; nuclear engineering, macroeconomics, game theory &amp; mechanism design, artificial intelligence &amp; cognitive computing, haptics &amp; UX design, music theory &amp; 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]]
'''Some of his music theory articles:'''
[[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/music/theory/cosmo/CosmolyraInstructions.txt 28-string Cosmolyra after Ivor Darreg]<br/>
[[http://lumma.org/tuning/faq/|The alternative tuning FAQ (draft)]]
: [http://lumma.org/music/theory/keys/DiatonicCrossSet.png Isomorphic keyboard mapping for 5-limit just intonation]<br/>
[[http://lumma.org/music/theory/CrossSetsPrimer.txt|Cross-sets Primer]]
: [http://lumma.org/music/theory/spectro/ Spectral analysis reveals accurate 7-limit intonation in barbershop music]<br/>
[[http://lumma.org/music/theory/tctmo/|The Too-Condensed Tuning-Math Outline]]
: [http://lumma.org/music/theory/keys/arch/ Archimedean keyboards]<br/>
: [[Lumma_stability|Rothenberg stability in pitch space]]<br/>
: [http://lumma.org/music/theory/StellatedCPS.txt Stellated Combination Product Sets: How many tones?]<br/>
: [http://lumma.org/music/theory/XMW.txt Xenharmonic Moving Windows: Extended JI with conventional keyboards]<br/>
: [http://lumma.org/music/theory/AdaptiveTuning.txt MIDI-based adaptive tuning by common-tone matching]<br/>
: [http://lumma.org/music/theory/gd/ Generalizing diatonicity]<br/>
: [http://lumma.org/music/theory/TOPDamageOfETs.txt Successive improvements in 17-limit TOP damage for the first 100 ETs]<br/>
: [http://lumma.org/music/theory/TOPBadnessOfETs.txt Logflat-best rank 1 temperaments up to 100 notes/octave]<br/>
: [http://lumma.org/music/theory/notation/ Classification of microtonal notation systems]<br/>
: [http://lumma.org/music/theory/subgroup/ No limits: Optimal subgroups for equal temperaments]<br/>
: [http://lumma.org/music/theory/ProgressionStrength.txt Measuring the strength of chord progressions]<br/>
: [http://lumma.org/music/theory/MaxETError.txt Maximum dyadic error of triads in equal temperaments]<br/>
: The MOS theorem: Well-formed scales are tempered Fokker blocks


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]].
'''Stuff of a more tutorial nature:'''


Elsewhere on the web:
: [https://en.xen.wiki/index.php?title=Glossary&oldid=54787 Xenharmonic Glossary]<br/>
[[http://lumma.org|Home page]]
: [http://lumma.org/tuning/faq/ The Alternative Tuning FAQ]<br/>
[[http://plus.google.com/115045287509032322837/|Google Plus]]
: [http://lumma.org/music/theory/CrossSetsPrimer.txt Cross-sets Primer]<br/>
[[http://twitter.com/clumma/favorites|Twitter]]
: [http://lumma.org/music/theory/tctmo/ The Too-Condensed Tuning-Math Outline]
[[http://www.quora.com/Carl-Lumma/answers|Quora]]
 
[[http://www.reddit.com/user/clumma/|reddit]]
'''Elsewhere on the web:'''
[[http://en.wikipedia.org/wiki/Special:Contributions/Beefman|Wikipedia contributions]]
 
</pre></div>
: [https://www.youtube.com/user/clumma YouTube]<br/>
<h4>Original HTML content:</h4>
: [http://www.facebook.com/clumma Facebook]<br/>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Carl Lumma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Carl Lumma&lt;/strong&gt; (b. 1977) is a man with varied interests, including: energy policy &amp;amp; nuclear engineering, macroeconomics, game theory &amp;amp; mechanism design, artificial intelligence &amp;amp; cognitive computing, haptics &amp;amp; UX design, music theory &amp;amp; psychoacoustics, music composition, and the game of chess.  Making his home in the San Francisco Bay Area, he has worked as an editor at &lt;a class="wiki_link_ext" href="http://www.keyboardmag.com" rel="nofollow"&gt;Keyboard magazine&lt;/a&gt; and as a program manager at &lt;a class="wiki_link_ext" href="http://www.apple.com" rel="nofollow"&gt;Apple Inc&lt;/a&gt;.  Below is a partial listing of articles of his on music theory:&lt;br /&gt;
: [http://www.twitter.com/clumma Twitter]
&lt;br /&gt;
 
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/cosmo/CosmolyraInstructions.txt" rel="nofollow"&gt;28-string Cosmolyra after Ivor Darreg&lt;/a&gt;&lt;br /&gt;
{{DEFAULTSORT:Lumma, Carl}}
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/keys/DiatonicCrossSet.png" rel="nofollow"&gt;Isomorphic keyboard mapping for 5-limit just intonation&lt;/a&gt;&lt;br /&gt;
[[Category:People]]
Marvel temperament: 225/224 is a critical 7-limit comma&lt;br /&gt;
[[Category:Theorists]]
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/spectro/" rel="nofollow"&gt;Spectral analysis reveals accurate 7-limit intonation in barbershop music&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/keys/arch/" rel="nofollow"&gt;Archimedean keyboards&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lumma%20Stability"&gt;Rothenberg stability in pitch space&lt;/a&gt;&lt;br /&gt;
Stellated Combination Product Sets: How many tones?&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/XMW.txt" rel="nofollow"&gt;Xenharmonic Moving Windows: Extended JI with conventional keyboards&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/AdaptiveTuning.txt" rel="nofollow"&gt;MIDI-based adaptive tuning by common-tone matching&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/gd/gd3-spec.txt" rel="nofollow"&gt;Generalizing diatonicity&lt;/a&gt;&lt;br /&gt;
Triadic beat ratios do not predict listener preference&lt;br /&gt;
New well temperaments from first principles&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/TOPDamageOfETs.txt" rel="nofollow"&gt;Successive improvements in 17-limit TOP damage for the first 100 ETs&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/TOPBadnessOfETs.txt" rel="nofollow"&gt;Logflat-best rank 1 temperaments up to 100 notes/octave&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/notation/" rel="nofollow"&gt;Classification of microtonal notation systems&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/subgroup/" rel="nofollow"&gt;Beyond limits: Optimal subgroups for equal temperaments&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/ProgressionStrength.txt" rel="nofollow"&gt;A quantitative measure for the strength of chord progressions&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/MaxETError.txt" rel="nofollow"&gt;Maximum dyadic error of triads in equal temperaments&lt;/a&gt;&lt;br /&gt;
The MOS theorem: Well-formed scales are tempered Fokker blocks&lt;br /&gt;
&lt;br /&gt;
Stuff of a more tutorial nature:&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/faq/" rel="nofollow"&gt;The alternative tuning FAQ (draft)&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/CrossSetsPrimer.txt" rel="nofollow"&gt;Cross-sets Primer&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org/music/theory/tctmo/" rel="nofollow"&gt;The Too-Condensed Tuning-Math Outline&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
Carl has been a moderator of the &lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/" rel="nofollow"&gt;Tuning&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/" rel="nofollow"&gt;Tuning-math&lt;/a&gt; mailing lists.  Some of his recent posts are collected &lt;a class="wiki_link" href="/Tuning%20List%20Reviews"&gt;here&lt;/a&gt; and some ancient posts are &lt;a class="wiki_link_ext" href="http://lumma.org/words/forums/CKL-Tuning97-00.txt" rel="nofollow"&gt;here&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
Elsewhere on the web:&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://lumma.org" rel="nofollow"&gt;Home page&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://plus.google.com/115045287509032322837/" rel="nofollow"&gt;Google Plus&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://twitter.com/clumma/favorites" rel="nofollow"&gt;Twitter&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.quora.com/Carl-Lumma/answers" rel="nofollow"&gt;Quora&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.reddit.com/user/clumma/" rel="nofollow"&gt;reddit&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Special:Contributions/Beefman" rel="nofollow"&gt;Wikipedia contributions&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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