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'''Carl Lumma''' (b. 1977) is a man with varied interests, including nuclear engineering, macroeconomics, music theory, and artificial intelligence. Making his home in the San Francisco 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]. Below is a partial listing of his music theory articles:
'''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].


[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]
: [http://lumma.org/music/theory/cosmo/CosmolyraInstructions.txt 28-string Cosmolyra after Ivor Darreg]<br/>
: [http://lumma.org/music/theory/keys/DiatonicCrossSet.png Isomorphic keyboard mapping for 5-limit just intonation]<br/>
: [http://lumma.org/music/theory/spectro/ Spectral analysis reveals accurate 7-limit intonation in barbershop music]<br/>
: [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


[http://lumma.org/music/theory/spectro/ Spectral analysis reveals accurate 7-limit intonation in barbershop music]
'''Stuff of a more tutorial nature:'''


[http://lumma.org/music/theory/keys/arch/ Archimedean keyboards]
: [https://en.xen.wiki/index.php?title=Glossary&oldid=54787 Xenharmonic Glossary]<br/>
: [http://lumma.org/tuning/faq/ The Alternative Tuning FAQ]<br/>
: [http://lumma.org/music/theory/CrossSetsPrimer.txt Cross-sets Primer]<br/>
: [http://lumma.org/music/theory/tctmo/ The Too-Condensed Tuning-Math Outline]


[[Lumma_stability|Rothenberg stability in pitch space]]
'''Elsewhere on the web:'''


[http://lumma.org/music/theory/StellatedCPS.txt Stellated Combination Product Sets: How many tones?]
: [https://www.youtube.com/user/clumma YouTube]<br/>
: [http://www.facebook.com/clumma Facebook]<br/>
: [http://www.twitter.com/clumma Twitter]


[http://lumma.org/music/theory/XMW.txt Xenharmonic Moving Windows: Extended JI with conventional keyboards]
{{DEFAULTSORT:Lumma, Carl}}
 
[[Category:People]]
[http://lumma.org/music/theory/AdaptiveTuning.txt MIDI-based adaptive tuning by common-tone matching]
[[Category:Theorists]]
 
[http://lumma.org/music/theory/gd/ Generalizing diatonicity]
 
[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/ No limits: Optimal subgroups for equal temperaments]
 
[http://lumma.org/music/theory/ProgressionStrength.txt Measuring 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:
 
[[glossary|Xenharmonic glossary]]
 
[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 [[Mailing_list_articles_by_Carl_Lumma|here]] and some ancient posts are [http://lumma.org/words/forums/Tuning-CKL97-00.html here].
 
Elsewhere on the web:
 
[http://www.facebook.com/clumma Facebook]
 
[https://www.youtube.com/user/clumma/ YouTube]
 
[http://google.com/+CarlLumma Google Plus]
 
[http://en.wikipedia.org/wiki/Special:Contributions/Beefman Wikipedia contributions]
Retrieved from "https://en.xen.wiki/w/Carl_Lumma"