Mailing list articles by Carl Lumma: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Selected posts by [[Carl_Lumma|Carl Lumma]] to the Yahoo! microtonal mailing lists.
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>2011-09-18 16:58:05 UTC</tt>.<br>
__FORCETOC__
: The original revision id was <tt>255348414</tt>.<br>
 
: The revision comment was: <tt></tt><br>
== 2012 ==
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>
=== April ===
<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">Selected posts by [[Carl Lumma]] to the Yahoo! microtonal mailing lists.
 
[[toc]]
Triadic variety in MOS scales
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104428.html#104450 http://groups.yahoo.com/group/tuning/message/104450]
 
Magic[10] as a generalized diatonic
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104428.html#104434 http://groups.yahoo.com/group/tuning/message/104434]
 
=== January ===
 
The Diatonic Property and porcupine[7]
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102293.html#102605 http://groups.yahoo.com/group/tuning/message/102605]
 
TE vs TOP
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102293.html#102562 http://groups.yahoo.com/group/tuning/message/102562]
 
Searching for subgroups
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102476.html#102507 http://groups.yahoo.com/group/tuning/message/102507]
 
Ranking temperaments
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102092.html#102282 http://groups.yahoo.com/group/tuning/message/102282]


== 2011 ==
== 2011 ==
=== December ===
Systematic kernelnaming
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102018.html#102083 http://groups.yahoo.com/group/tuning/message/102083]
An incomplete history of subgroups
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_102018.html#102058 http://groups.yahoo.com/group/tuning/message/102058]
=== August ===
=== August ===


Rank range and proper MOS
Rank range and proper MOS
http://groups.yahoo.com/group/tuning/message/101392
 
http://groups.yahoo.com/group/tuning/message/101393
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101354.html#101392 http://groups.yahoo.com/group/tuning/message/101392]<br />
http://groups.yahoo.com/group/tuning/message/101408
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101354.html#101393 http://groups.yahoo.com/group/tuning/message/101393]<br />
http://groups.yahoo.com/group/tuning/message/101414
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101354.html#101408 http://groups.yahoo.com/group/tuning/message/101408]<br />
http://groups.yahoo.com/group/tuning/message/101425
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101354.html#101414 http://groups.yahoo.com/group/tuning/message/101414]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101354.html#101425 http://groups.yahoo.com/group/tuning/message/101425]
 
=== July ===
 
Rank-3 scales
 
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19341 http://groups.yahoo.com/group/tuning-math/message/19341]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19352 http://groups.yahoo.com/group/tuning-math/message/19352]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19354 http://groups.yahoo.com/group/tuning-math/message/19354]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19360 http://groups.yahoo.com/group/tuning-math/message/19360]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19367 http://groups.yahoo.com/group/tuning-math/message/19367]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19334.html#19371 http://groups.yahoo.com/group/tuning-math/message/19371]


=== June ===
=== June ===


Lumma stability
Lumma stability
http://groups.yahoo.com/group/tuning/message/100319
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100309.html#100319 http://groups.yahoo.com/group/tuning/message/100319]


=== May ===
=== May ===


Periodicity buzz and time-domain processing in human hearing
Periodicity buzz and time-domain processing in human hearing
http://groups.yahoo.com/group/tuning/message/98941
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_98831.html#98941 http://groups.yahoo.com/group/tuning/message/98941]
 
Where theory falls short
Where theory falls short
http://groups.yahoo.com/group/tuning/message/99064
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99043.html#99064 http://groups.yahoo.com/group/tuning/message/99064]
 
Criticism of TTSS
Criticism of TTSS
http://groups.yahoo.com/group/tuning/message/99106
 
http://groups.yahoo.com/group/tuning/message/99122
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99043.html#99106 http://groups.yahoo.com/group/tuning/message/99106]<br />
http://groups.yahoo.com/group/tuning/message/99126
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99043.html#99122 http://groups.yahoo.com/group/tuning/message/99122]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99043.html#99126 http://groups.yahoo.com/group/tuning/message/99126]
 
Diatonic notations
Diatonic notations
http://groups.yahoo.com/group/tuning/message/99407?var=0&amp;l=1
 
http://groups.yahoo.com/group/tuning/message/99475?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99382.html#99407 http://groups.yahoo.com/group/tuning/message/99407]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99382.html#99475 http://groups.yahoo.com/group/tuning/message/99475]
 
Lattice distance and chord progressions
Lattice distance and chord progressions
http://groups.yahoo.com/group/tuning/message/99447?var=0&amp;l=1
 
http://groups.yahoo.com/group/tuning/message/99474?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99305.html#99447 http://groups.yahoo.com/group/tuning/message/99447]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99305.html#99474 http://groups.yahoo.com/group/tuning/message/99474]


=== April ===
=== April ===


Complete list of just intonation dyads
Complete list of just intonation dyads
http://groups.yahoo.com/group/tuning/message/97647?var=0&amp;l=1
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97455.html#97647 http://groups.yahoo.com/group/tuning/message/97647]
 
Little or no use of septimal harmony in doo-wop
Little or no use of septimal harmony in doo-wop
http://groups.yahoo.com/group/tuning/message/98223
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_98211.html#98223 http://groups.yahoo.com/group/tuning/message/98223]
 
Functional harmony: Meaning and mechanism
Functional harmony: Meaning and mechanism
http://groups.yahoo.com/group/tuning/message/98715
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_98715.html#98715 http://groups.yahoo.com/group/tuning/message/98715]


=== March ===
=== March ===


Grove's article on "temperament"
Grove's article on "temperament"
http://groups.yahoo.com/group/tuning/message/96704
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96244.html#96704 http://groups.yahoo.com/group/tuning/message/96704]
 
'Mashability'
'Mashability'
http://groups.yahoo.com/group/tuning/message/96640
 
http://groups.yahoo.com/group/tuning/message/96663
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96623.html#96640 http://groups.yahoo.com/group/tuning/message/96640]<br />
http://groups.yahoo.com/group/tuning/message/96692
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96623.html#96663 http://groups.yahoo.com/group/tuning/message/96663]<br />
http://groups.yahoo.com/group/tuning/message/96721
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96623.html#96692 http://groups.yahoo.com/group/tuning/message/96692]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96623.html#96721 http://groups.yahoo.com/group/tuning/message/96721]
 
Maqam intonation analysis
Maqam intonation analysis
http://groups.yahoo.com/group/tuning/message/96871
 
http://groups.yahoo.com/group/tuning/message/96881
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96858.html#96871 http://groups.yahoo.com/group/tuning/message/96871]<br />
http://groups.yahoo.com/group/tuning/message/96939
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96858.html#96881 http://groups.yahoo.com/group/tuning/message/96881]<br />
http://groups.yahoo.com/group/tuning/message/96945
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#96939 http://groups.yahoo.com/group/tuning/message/96939]<br />
http://groups.yahoo.com/group/tuning/message/96948
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#96945 http://groups.yahoo.com/group/tuning/message/96945]<br />
http://groups.yahoo.com/group/tuning/message/96949
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#96948 http://groups.yahoo.com/group/tuning/message/96948]<br />
http://groups.yahoo.com/group/tuning/message/96951
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#96949 http://groups.yahoo.com/group/tuning/message/96949]<br />
http://groups.yahoo.com/group/tuning/message/96983
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#96951 http://groups.yahoo.com/group/tuning/message/96951]<br />
http://groups.yahoo.com/group/tuning/message/97002
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96858.html#96983 http://groups.yahoo.com/group/tuning/message/96983]<br />
http://groups.yahoo.com/group/tuning/message/97013
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96858.html#97002 http://groups.yahoo.com/group/tuning/message/97002]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96839.html#97013 http://groups.yahoo.com/group/tuning/message/97013]
 
Chromatic Pairs
Chromatic Pairs
http://groups.yahoo.com/group/MakeMicroMusic/message/26424
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_26401.html#26424 http://groups.yahoo.com/group/MakeMicroMusic/message/26424]


=== February ===
=== February ===


Generalized diatonicity
Generalized diatonicity
http://groups.yahoo.com/group/tuning/message/96339
 
http://groups.yahoo.com/group/tuning/message/96374
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96322.html#96339 http://groups.yahoo.com/group/tuning/message/96339]<br />
http://groups.yahoo.com/group/tuning/message/96402
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96322.html#96374 http://groups.yahoo.com/group/tuning/message/96374]<br />
http://groups.yahoo.com/group/tuning/message/96525
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96322.html#96402 http://groups.yahoo.com/group/tuning/message/96402]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_96322.html#96525 http://groups.yahoo.com/group/tuning/message/96525]
 
Untwelve 2010 Review
Untwelve 2010 Review
http://groups.yahoo.com/group/MakeMicroMusic/message/25148
 
http://groups.yahoo.com/group/MakeMicroMusic/message/25180
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_25148.html#25148 http://groups.yahoo.com/group/MakeMicroMusic/message/25148]<br />
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_25132.html#25180 http://groups.yahoo.com/group/MakeMicroMusic/message/25180]
 
Heterophony
Heterophony
http://groups.yahoo.com/group/MakeMicroMusic/message/25280
 
http://groups.yahoo.com/group/MakeMicroMusic/message/25357
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_25238.html#25280 http://groups.yahoo.com/group/MakeMicroMusic/message/25280]<br />
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_25238.html#25357 http://groups.yahoo.com/group/MakeMicroMusic/message/25357]
 
Scale Sieve
Scale Sieve
http://groups.yahoo.com/group/tuning-math/message/18810
 
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18801.html#18810 http://groups.yahoo.com/group/tuning-math/message/18810]


=== January ===
=== January ===


Brats ain't no thing
Brats ain't no thing
http://groups.yahoo.com/group/tuning/message/95331
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95321.html#95331 http://groups.yahoo.com/group/tuning/message/95331]
 
Dichotic listening and Periodicity Buzz
Dichotic listening and Periodicity Buzz
http://groups.yahoo.com/group/tuning/message/95412
 
http://groups.yahoo.com/group/tuning/message/95487
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95321.html#95412 http://groups.yahoo.com/group/tuning/message/95412]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95321.html#95487 http://groups.yahoo.com/group/tuning/message/95487]
 
49:48
49:48
http://groups.yahoo.com/group/tuning/message/95661?var=0&amp;l=1
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95448.html#95661 http://groups.yahoo.com/group/tuning/message/95661]
 
Pajara vs. meantone
Pajara vs. meantone
http://groups.yahoo.com/group/tuning/message/95826
 
http://groups.yahoo.com/group/tuning/message/95833
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95310.html#95826 http://groups.yahoo.com/group/tuning/message/95826]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95828.html#95883 http://groups.yahoo.com/group/tuning/message/95833]
 
Extended JI in Tanzania?
Extended JI in Tanzania?
http://groups.yahoo.com/group/tuning/message/95924
 
http://groups.yahoo.com/group/tuning/message/96002
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95845.html#95924 http://groups.yahoo.com/group/tuning/message/95924]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95845.html#96002 http://groups.yahoo.com/group/tuning/message/96002]
 
A MOS by any other name...
A MOS by any other name...
http://groups.yahoo.com/group/tuning/message/95939
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95922.html#95939 http://groups.yahoo.com/group/tuning/message/95939]
 
The changing role of pitch in music
The changing role of pitch in music
http://groups.yahoo.com/group/MakeMicroMusic/message/24278
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24278.html#24278 http://groups.yahoo.com/group/MakeMicroMusic/message/24278]
 
Electronica and microtonality
Electronica and microtonality
http://groups.yahoo.com/group/MakeMicroMusic/message/24381
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24353.html#24381 http://groups.yahoo.com/group/MakeMicroMusic/message/24381]
 
On 4:5:6:7 approximations
On 4:5:6:7 approximations
http://groups.yahoo.com/group/MakeMicroMusic/message/24728
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24652.html#24728 http://groups.yahoo.com/group/MakeMicroMusic/message/24728]
 
Most well temperaments sound the same
Most well temperaments sound the same
http://groups.yahoo.com/group/MakeMicroMusic/message/24967
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24919.html#24967 http://groups.yahoo.com/group/MakeMicroMusic/message/24967]
 
Roots and the blues
Roots and the blues
http://groups.yahoo.com/group/MakeMicroMusic/message/25011
 
http://groups.yahoo.com/group/MakeMicroMusic/message/25014
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24996.html#25011 http://groups.yahoo.com/group/MakeMicroMusic/message/25011]<br />
http://groups.yahoo.com/group/MakeMicroMusic/message/25046
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24996.html#25014 http://groups.yahoo.com/group/MakeMicroMusic/message/25014]<br />
http://groups.yahoo.com/group/MakeMicroMusic/message/25048
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24996.html#25046 http://groups.yahoo.com/group/MakeMicroMusic/message/25046]<br />
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24996.html#25048 http://groups.yahoo.com/group/MakeMicroMusic/message/25048]
 
Substitutions
Substitutions
http://groups.yahoo.com/group/MakeMicroMusic/message/25108
 
[https://yahootuninggroupsultimatebackup.github.io/makemicromusic/topicId_24996.html#25108 http://groups.yahoo.com/group/MakeMicroMusic/message/25108]
 
Automatic just intonation
Automatic just intonation
http://groups.yahoo.com/group/tuning-math/message/18529
 
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18529.html#18529 http://groups.yahoo.com/group/tuning-math/message/18529]
 
1029
1029
http://groups.yahoo.com/group/tuning-math/message/18559
 
http://groups.yahoo.com/group/tuning-math/message/18560
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18559.html#18559 http://groups.yahoo.com/group/tuning-math/message/18559]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18559.html#18560 http://groups.yahoo.com/group/tuning-math/message/18560]
 
Best macro-ETs
Best macro-ETs
http://groups.yahoo.com/group/tuning-math/message/18593
 
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18592.html#18593 http://groups.yahoo.com/group/tuning-math/message/18593]


== 2010 ==
== 2010 ==
=== December ===
=== December ===


Triadic entropy reproduces TOP tunings when linearly constrained
Triadic entropy reproduces TOP tunings when linearly constrained<br />[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#94963 http://groups.yahoo.com/group/tuning/message/94963]
http://groups.yahoo.com/group/tuning/message/94932
 
http://groups.yahoo.com/group/tuning/message/94963
Triadic entropy is proportional to Tenney height for Just triads
Triadic entropy is proportional to Tenney height for Just triads
http://groups.yahoo.com/group/tuning/message/95227
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95088.html#95227 http://groups.yahoo.com/group/tuning/message/95227]
 
Entropy of l=u triads is related to the badness of their vanishing comma
Entropy of l=u triads is related to the badness of their vanishing comma
http://groups.yahoo.com/group/tuning/message/95041
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#95041 http://groups.yahoo.com/group/tuning/message/95041]
 
Triadic entropy vs. Cook &amp; Fujisawa
Triadic entropy vs. Cook &amp; Fujisawa
http://groups.yahoo.com/group/tuning/message/95077
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95036.html#95077 http://groups.yahoo.com/group/tuning/message/95077]
 
Monte Carlo triadic entropy minimizer
Monte Carlo triadic entropy minimizer
http://groups.yahoo.com/group/tuning/message/95028
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#95028 http://groups.yahoo.com/group/tuning/message/95028]
 
Trilinear coordinates for tetradic entropy
Trilinear coordinates for tetradic entropy
http://groups.yahoo.com/group/tuning/message/95144
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#95144 http://groups.yahoo.com/group/tuning/message/95144]
 
5:6:7 vs. 6:8:9
5:6:7 vs. 6:8:9
http://groups.yahoo.com/group/tuning/message/95162
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95138.html#95162 http://groups.yahoo.com/group/tuning/message/95162]
 
Exotic temperaments containing 12-ET approximations
Exotic temperaments containing 12-ET approximations
http://groups.yahoo.com/group/tuning/message/95246
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95224.html#95246 http://groups.yahoo.com/group/tuning/message/95246]
 
Rank 1 subgroup temperaments with integer basis elements
Rank 1 subgroup temperaments with integer basis elements
http://groups.yahoo.com/group/tuning/message/95295
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95273.html#95295 http://groups.yahoo.com/group/tuning/message/95295]
 
History of Pascal's triangle
History of Pascal's triangle
http://groups.yahoo.com/group/tuning/message/95075
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95075.html#95075 http://groups.yahoo.com/group/tuning/message/95075]
 
Microtuning on Quora
Microtuning on Quora
http://groups.yahoo.com/group/tuning/message/95082
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95082.html#95082 http://groups.yahoo.com/group/tuning/message/95082]
 
Geocities archive available
Geocities archive available
http://groups.yahoo.com/group/tuning/message/95126
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95126.html#95126 http://groups.yahoo.com/group/tuning/message/95126]
 
CELT audio codec and psychoacoustic model
CELT audio codec and psychoacoustic model
http://groups.yahoo.com/group/tuning/message/95198
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95198.html#95198 http://groups.yahoo.com/group/tuning/message/95198]
 
EverTune bridge for electric guitars
EverTune bridge for electric guitars
http://groups.yahoo.com/group/tuning/message/95264
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95264.html#95264 http://groups.yahoo.com/group/tuning/message/95264]


=== November ===
=== November ===


Formula for fret division:
Formula for fret division:
http://groups.yahoo.com/group/tuning/message/94198
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93888.html#94198 http://groups.yahoo.com/group/tuning/message/94198]
 
Explaining regular mapping / father temperament:
Explaining regular mapping / father temperament:
http://groups.yahoo.com/group/tuning/message/94438?source=1&amp;var=0&amp;l=1
 
http://groups.yahoo.com/group/tuning/message/94447?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94411.html#94438 http://groups.yahoo.com/group/tuning/message/94438]<br />
http://groups.yahoo.com/group/tuning/message/94460?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94411.html#94447 http://groups.yahoo.com/group/tuning/message/94447]<br />
http://groups.yahoo.com/group/tuning/message/94482?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94411.html#94460 http://groups.yahoo.com/group/tuning/message/94460]<br />
http://groups.yahoo.com/group/tuning/message/94488?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94411.html#94482 http://groups.yahoo.com/group/tuning/message/94482]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94411.html#94488 http://groups.yahoo.com/group/tuning/message/94488]
 
On Mike's "DC" concordance model
On Mike's "DC" concordance model
http://groups.yahoo.com/group/tuning/message/94317
 
http://groups.yahoo.com/group/tuning/message/94320
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94207.html#94317 http://groups.yahoo.com/group/tuning/message/94317]<br />
http://groups.yahoo.com/group/tuning/message/94321?var=0&amp;l=1
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94207.html#94320 http://groups.yahoo.com/group/tuning/message/94320]<br />
http://groups.yahoo.com/group/tuning/message/94340
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94207.html#94321 http://groups.yahoo.com/group/tuning/message/94321]<br />
http://groups.yahoo.com/group/tuning/message/94695
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94207.html#94340 http://groups.yahoo.com/group/tuning/message/94340]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94207.html#94695 http://groups.yahoo.com/group/tuning/message/94695]
 
More on triadic entropy:
More on triadic entropy:
http://groups.yahoo.com/group/tuning/message/94570
 
http://groups.yahoo.com/group/tuning/message/94932
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#94570 http://groups.yahoo.com/group/tuning/message/94570]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#94932 http://groups.yahoo.com/group/tuning/message/94932]
 
Exciting developments in keyboards:
Exciting developments in keyboards:
http://groups.yahoo.com/group/tuning/message/94391
 
http://groups.yahoo.com/group/tuning/message/94499
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94391.html http://groups.yahoo.com/group/tuning/message/94391]<br />
http://groups.yahoo.com/group/tuning/message/94518
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94391.html#94499 http://groups.yahoo.com/group/tuning/message/94499]<br />
http://groups.yahoo.com/group/tuning/message/94568
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94391.html#94518 http://groups.yahoo.com/group/tuning/message/94518]<br />
http://groups.yahoo.com/group/tuning/message/94738
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94391.html#94568 http://groups.yahoo.com/group/tuning/message/94568]<br />
http://groups.yahoo.com/group/tuning/message/94799
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94722.html#94738 http://groups.yahoo.com/group/tuning/message/94738]<br />
http://groups.yahoo.com/group/tuning/message/94802
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94722.html#94799 http://groups.yahoo.com/group/tuning/message/94799]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_94722.html#94802 http://groups.yahoo.com/group/tuning/message/94802]


=== October ===
=== October ===


Links to online resources related to Xenharmonikon:
http://groups.yahoo.com/group/tuning/message/93861
Contacted list founder and documented date of first post:
Contacted list founder and documented date of first post:
http://groups.yahoo.com/group/tuning/message/93936
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93098.html#93936 http://groups.yahoo.com/group/tuning/message/93936]
 
Excavated Geocities URLs from archives:
Excavated Geocities URLs from archives:
http://groups.yahoo.com/group/tuning/message/93877
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93812.html#93877 http://groups.yahoo.com/group/tuning/message/93877]
 
Answered FAQs:
Answered FAQs:
http://groups.yahoo.com/group/tuning/message/93815
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93812.html#93815 http://groups.yahoo.com/group/tuning/message/93815]
 
Pitch analysis of a Maqam Al-Iraqi recording excerpt:
Pitch analysis of a Maqam Al-Iraqi recording excerpt:
http://groups.yahoo.com/group/tuning/message/93615
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93615 http://groups.yahoo.com/group/tuning/message/93615]
 
Ruminations on the meaning of "tonality":
Ruminations on the meaning of "tonality":
http://groups.yahoo.com/group/tuning/message/93929
 
including PDF score
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93833.html#93929 http://groups.yahoo.com/group/tuning/message/93929]
http://groups.yahoo.com/group/tuning/message/93940
 
and algorithmic method for creating tonal chord progressions
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93833.html#93940 http://groups.yahoo.com/group/tuning/message/93940]
http://groups.yahoo.com/group/tuning/message/93900
 
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93833.html#93900 http://groups.yahoo.com/group/tuning/message/93900]
 
Provided recipe to compute triadic harmonic entropy:
Provided recipe to compute triadic harmonic entropy:
http://groups.yahoo.com/group/tuning/message/93396
 
http://groups.yahoo.com/group/tuning/message/93399
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#93396 http://groups.yahoo.com/group/tuning/message/93396]<br />
http://groups.yahoo.com/group/tuning/message/93468
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#93399 http://groups.yahoo.com/group/tuning/message/93399]<br />
http://groups.yahoo.com/group/tuning/message/93495
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#93468 http://groups.yahoo.com/group/tuning/message/93468]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93392.html#93495 http://groups.yahoo.com/group/tuning/message/93495]
 
Comments on Thresholds of Discrimination (Vos, van Vianen):
Comments on Thresholds of Discrimination (Vos, van Vianen):
http://groups.yahoo.com/group/tuning/message/93512
 
http://groups.yahoo.com/group/tuning/message/93524
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93512 http://groups.yahoo.com/group/tuning/message/93512]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93524 http://groups.yahoo.com/group/tuning/message/93524]
 
Debunked dubious claims in ethnomusicology:
Debunked dubious claims in ethnomusicology:
http://groups.yahoo.com/group/tuning/message/93584
 
http://groups.yahoo.com/group/tuning/message/93595
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93584 http://groups.yahoo.com/group/tuning/message/93584]<br />
http://groups.yahoo.com/group/tuning/message/93639
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93595 http://groups.yahoo.com/group/tuning/message/93595]<br />
http://groups.yahoo.com/group/tuning/message/93642
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93618.html#93639 http://groups.yahoo.com/group/tuning/message/93639]<br />
http://groups.yahoo.com/group/tuning/message/93658
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93618.html#93642 http://groups.yahoo.com/group/tuning/message/93642]<br />
http://groups.yahoo.com/group/tuning/message/93677
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93658 http://groups.yahoo.com/group/tuning/message/93658]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93677 http://groups.yahoo.com/group/tuning/message/93677]
 
Most instruments have perfectly harmonic timbres:
Most instruments have perfectly harmonic timbres:
http://groups.yahoo.com/group/tuning/message/93770
 
http://groups.yahoo.com/group/tuning/message/93781
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93770 http://groups.yahoo.com/group/tuning/message/93770]<br />
http://groups.yahoo.com/group/tuning/message/93797
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93781 http://groups.yahoo.com/group/tuning/message/93781]<br />
[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_93182.html#93797 http://groups.yahoo.com/group/tuning/message/93797]
 
Fokker block approach for starling[11] scales:
Fokker block approach for starling[11] scales:
http://groups.yahoo.com/group/tuning-math/message/18305
 
http://groups.yahoo.com/group/tuning-math/message/18318
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18174.html#18305 http://groups.yahoo.com/group/tuning-math/message/18305]
http://groups.yahoo.com/group/tuning-math/message/18306?var=0&amp;l=1
 
</pre></div>
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18174.html#18306 http://groups.yahoo.com/group/tuning-math/message/18306]<br />
<h4>Original HTML content:</h4>
[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18174.html#18318 http://groups.yahoo.com/group/tuning-math/message/18318]
<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;Mailing list articles by Carl Lumma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Selected posts by &lt;a class="wiki_link" href="/Carl%20Lumma"&gt;Carl Lumma&lt;/a&gt; to the Yahoo! microtonal mailing lists.&lt;br /&gt;
[[Category:Lists]]
&lt;!-- ws:start:WikiTextTocRule:24:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-2011"&gt; 2011 &lt;/a&gt;&lt;/div&gt;
[[Category:Archive]]
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-August"&gt; August &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-June"&gt; June &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-May"&gt; May &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-April"&gt; April &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-March"&gt; March &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-February"&gt; February &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2011-January"&gt; January &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-2010"&gt; 2010 &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2010-December"&gt; December &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2010-November"&gt; November &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-2010-October"&gt; October &lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-2011"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt; 2011 &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-2011-August"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; August &lt;/h3&gt;
&lt;br /&gt;
Rank range and proper MOS&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:250:http://groups.yahoo.com/group/tuning/message/101392 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101392" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/101392&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:250 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:251:http://groups.yahoo.com/group/tuning/message/101393 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101393" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/101393&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:251 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:252:http://groups.yahoo.com/group/tuning/message/101408 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101408" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/101408&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:252 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:253:http://groups.yahoo.com/group/tuning/message/101414 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101414" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/101414&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:253 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:254:http://groups.yahoo.com/group/tuning/message/101425 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101425" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/101425&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:254 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-2011-June"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt; June &lt;/h3&gt;
&lt;br /&gt;
Lumma stability&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:255:http://groups.yahoo.com/group/tuning/message/100319 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/100319" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/100319&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:255 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-2011-May"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; May &lt;/h3&gt;
&lt;br /&gt;
Periodicity buzz and time-domain processing in human hearing&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:256:http://groups.yahoo.com/group/tuning/message/98941 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/98941" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/98941&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:256 --&gt;&lt;br /&gt;
Where theory falls short&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:257:http://groups.yahoo.com/group/tuning/message/99064 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99064" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99064&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:257 --&gt;&lt;br /&gt;
Criticism of TTSS&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:258:http://groups.yahoo.com/group/tuning/message/99106 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99106" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99106&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:258 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:259:http://groups.yahoo.com/group/tuning/message/99122 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99122" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99122&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:259 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:260:http://groups.yahoo.com/group/tuning/message/99126 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99126" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99126&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:260 --&gt;&lt;br /&gt;
Diatonic notations&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:261:http://groups.yahoo.com/group/tuning/message/99407?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99407?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99407?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:261 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:262:http://groups.yahoo.com/group/tuning/message/99475?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99475?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99475?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:262 --&gt;&lt;br /&gt;
Lattice distance and chord progressions&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:263:http://groups.yahoo.com/group/tuning/message/99447?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99447?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99447?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:263 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:264:http://groups.yahoo.com/group/tuning/message/99474?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/99474?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/99474?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:264 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-2011-April"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; April &lt;/h3&gt;
&lt;br /&gt;
Complete list of just intonation dyads&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:265:http://groups.yahoo.com/group/tuning/message/97647?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/97647?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/97647?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:265 --&gt;&lt;br /&gt;
Little or no use of septimal harmony in doo-wop&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:266:http://groups.yahoo.com/group/tuning/message/98223 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/98223" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/98223&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:266 --&gt;&lt;br /&gt;
Functional harmony: Meaning and mechanism&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:267:http://groups.yahoo.com/group/tuning/message/98715 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/98715" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/98715&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:267 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-2011-March"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; March &lt;/h3&gt;
&lt;br /&gt;
Grove's article on &amp;quot;temperament&amp;quot;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:268:http://groups.yahoo.com/group/tuning/message/96704 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96704" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96704&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:268 --&gt;&lt;br /&gt;
'Mashability'&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:269:http://groups.yahoo.com/group/tuning/message/96640 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96640" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96640&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:269 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:270:http://groups.yahoo.com/group/tuning/message/96663 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96663" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96663&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:270 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:271:http://groups.yahoo.com/group/tuning/message/96692 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96692" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96692&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:271 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:272:http://groups.yahoo.com/group/tuning/message/96721 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96721" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96721&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:272 --&gt;&lt;br /&gt;
Maqam intonation analysis&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:273:http://groups.yahoo.com/group/tuning/message/96871 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96871" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96871&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:273 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:274:http://groups.yahoo.com/group/tuning/message/96881 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96881" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96881&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:274 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:275:http://groups.yahoo.com/group/tuning/message/96939 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96939" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96939&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:275 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:276:http://groups.yahoo.com/group/tuning/message/96945 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96945" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96945&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:276 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:277:http://groups.yahoo.com/group/tuning/message/96948 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96948" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96948&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:277 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:278:http://groups.yahoo.com/group/tuning/message/96949 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96949" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96949&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:278 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:279:http://groups.yahoo.com/group/tuning/message/96951 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96951" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96951&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:279 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:280:http://groups.yahoo.com/group/tuning/message/96983 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96983" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96983&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:280 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:281:http://groups.yahoo.com/group/tuning/message/97002 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/97002" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/97002&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:281 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:282:http://groups.yahoo.com/group/tuning/message/97013 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/97013" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/97013&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:282 --&gt;&lt;br /&gt;
Chromatic Pairs&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:283:http://groups.yahoo.com/group/MakeMicroMusic/message/26424 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/26424" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/26424&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:283 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-2011-February"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt; February &lt;/h3&gt;
&lt;br /&gt;
Generalized diatonicity&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:284:http://groups.yahoo.com/group/tuning/message/96339 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96339" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96339&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:284 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:285:http://groups.yahoo.com/group/tuning/message/96374 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96374" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96374&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:285 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:286:http://groups.yahoo.com/group/tuning/message/96402 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96402" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96402&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:286 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:287:http://groups.yahoo.com/group/tuning/message/96525 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96525" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96525&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:287 --&gt;&lt;br /&gt;
Untwelve 2010 Review&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:288:http://groups.yahoo.com/group/MakeMicroMusic/message/25148 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25148" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25148&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:288 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:289:http://groups.yahoo.com/group/MakeMicroMusic/message/25180 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25180" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25180&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:289 --&gt;&lt;br /&gt;
Heterophony&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:290:http://groups.yahoo.com/group/MakeMicroMusic/message/25280 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25280" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25280&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:290 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:291:http://groups.yahoo.com/group/MakeMicroMusic/message/25357 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25357" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25357&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:291 --&gt;&lt;br /&gt;
Scale Sieve&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:292:http://groups.yahoo.com/group/tuning-math/message/18810 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18810" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18810&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:292 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-2011-January"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt; January &lt;/h3&gt;
&lt;br /&gt;
Brats ain't no thing&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:293:http://groups.yahoo.com/group/tuning/message/95331 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95331" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95331&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:293 --&gt;&lt;br /&gt;
Dichotic listening and Periodicity Buzz&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:294:http://groups.yahoo.com/group/tuning/message/95412 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95412" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95412&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:294 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:295:http://groups.yahoo.com/group/tuning/message/95487 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95487" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95487&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:295 --&gt;&lt;br /&gt;
49:48&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:296:http://groups.yahoo.com/group/tuning/message/95661?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95661?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95661?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:296 --&gt;&lt;br /&gt;
Pajara vs. meantone&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:297:http://groups.yahoo.com/group/tuning/message/95826 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95826" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95826&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:297 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:298:http://groups.yahoo.com/group/tuning/message/95833 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95833" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95833&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:298 --&gt;&lt;br /&gt;
Extended JI in Tanzania?&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:299:http://groups.yahoo.com/group/tuning/message/95924 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95924" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95924&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:299 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:300:http://groups.yahoo.com/group/tuning/message/96002 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/96002" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/96002&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:300 --&gt;&lt;br /&gt;
A MOS by any other name...&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:301:http://groups.yahoo.com/group/tuning/message/95939 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95939" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95939&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:301 --&gt;&lt;br /&gt;
The changing role of pitch in music&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:302:http://groups.yahoo.com/group/MakeMicroMusic/message/24278 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/24278" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/24278&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:302 --&gt;&lt;br /&gt;
Electronica and microtonality&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:303:http://groups.yahoo.com/group/MakeMicroMusic/message/24381 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/24381" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/24381&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:303 --&gt;&lt;br /&gt;
On 4:5:6:7 approximations&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:304:http://groups.yahoo.com/group/MakeMicroMusic/message/24728 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/24728" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/24728&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:304 --&gt;&lt;br /&gt;
Most well temperaments sound the same&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:305:http://groups.yahoo.com/group/MakeMicroMusic/message/24967 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/24967" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/24967&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:305 --&gt;&lt;br /&gt;
Roots and the blues&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:306:http://groups.yahoo.com/group/MakeMicroMusic/message/25011 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25011" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25011&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:306 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:307:http://groups.yahoo.com/group/MakeMicroMusic/message/25014 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25014" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25014&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:307 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:308:http://groups.yahoo.com/group/MakeMicroMusic/message/25046 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25046" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25046&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:308 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:309:http://groups.yahoo.com/group/MakeMicroMusic/message/25048 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25048" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25048&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:309 --&gt;&lt;br /&gt;
Substitutions&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:310:http://groups.yahoo.com/group/MakeMicroMusic/message/25108 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/MakeMicroMusic/message/25108" rel="nofollow"&gt;http://groups.yahoo.com/group/MakeMicroMusic/message/25108&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:310 --&gt;&lt;br /&gt;
Automatic just intonation&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:311:http://groups.yahoo.com/group/tuning-math/message/18529 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18529" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18529&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:311 --&gt;&lt;br /&gt;
1029&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:312:http://groups.yahoo.com/group/tuning-math/message/18559 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18559" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18559&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:312 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:313:http://groups.yahoo.com/group/tuning-math/message/18560 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18560" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18560&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:313 --&gt;&lt;br /&gt;
Best macro-ETs&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:314:http://groups.yahoo.com/group/tuning-math/message/18593 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18593" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18593&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:314 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-2010"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt; 2010 &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-2010-December"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt; December &lt;/h3&gt;
&lt;br /&gt;
Triadic entropy reproduces TOP tunings when linearly constrained&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:315:http://groups.yahoo.com/group/tuning/message/94932 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94932" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94932&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:315 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:316:http://groups.yahoo.com/group/tuning/message/94963 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94963" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94963&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:316 --&gt;&lt;br /&gt;
Triadic entropy is proportional to Tenney height for Just triads&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:317:http://groups.yahoo.com/group/tuning/message/95227 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95227" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95227&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:317 --&gt;&lt;br /&gt;
Entropy of l=u triads is related to the badness of their vanishing comma&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:318:http://groups.yahoo.com/group/tuning/message/95041 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95041" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95041&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:318 --&gt;&lt;br /&gt;
Triadic entropy vs. Cook &amp;amp; Fujisawa&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:319:http://groups.yahoo.com/group/tuning/message/95077 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95077" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95077&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:319 --&gt;&lt;br /&gt;
Monte Carlo triadic entropy minimizer&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:320:http://groups.yahoo.com/group/tuning/message/95028 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95028" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95028&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:320 --&gt;&lt;br /&gt;
Trilinear coordinates for tetradic entropy&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:321:http://groups.yahoo.com/group/tuning/message/95144 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95144" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95144&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:321 --&gt;&lt;br /&gt;
5:6:7 vs. 6:8:9&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:322:http://groups.yahoo.com/group/tuning/message/95162 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95162" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95162&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:322 --&gt;&lt;br /&gt;
Exotic temperaments containing 12-ET approximations&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:323:http://groups.yahoo.com/group/tuning/message/95246 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95246" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95246&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:323 --&gt;&lt;br /&gt;
Rank 1 subgroup temperaments with integer basis elements&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:324:http://groups.yahoo.com/group/tuning/message/95295 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95295" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95295&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:324 --&gt;&lt;br /&gt;
History of Pascal's triangle&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:325:http://groups.yahoo.com/group/tuning/message/95075 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95075" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95075&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:325 --&gt;&lt;br /&gt;
Microtuning on Quora&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:326:http://groups.yahoo.com/group/tuning/message/95082 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95082" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95082&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:326 --&gt;&lt;br /&gt;
Geocities archive available&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:327:http://groups.yahoo.com/group/tuning/message/95126 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95126" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95126&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:327 --&gt;&lt;br /&gt;
CELT audio codec and psychoacoustic model&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:328:http://groups.yahoo.com/group/tuning/message/95198 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95198" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95198&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:328 --&gt;&lt;br /&gt;
EverTune bridge for electric guitars&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:329:http://groups.yahoo.com/group/tuning/message/95264 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/95264" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/95264&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:329 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-2010-November"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; November &lt;/h3&gt;
&lt;br /&gt;
Formula for fret division:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:330:http://groups.yahoo.com/group/tuning/message/94198 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94198" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94198&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:330 --&gt;&lt;br /&gt;
Explaining regular mapping / father temperament:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:331:http://groups.yahoo.com/group/tuning/message/94438?source=1&amp;amp;var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94438?source=1&amp;amp;var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94438?source=1&amp;amp;var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:331 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:332:http://groups.yahoo.com/group/tuning/message/94447?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94447?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94447?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:332 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:333:http://groups.yahoo.com/group/tuning/message/94460?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94460?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94460?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:333 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:334:http://groups.yahoo.com/group/tuning/message/94482?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94482?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94482?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:334 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:335:http://groups.yahoo.com/group/tuning/message/94488?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94488?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94488?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:335 --&gt;&lt;br /&gt;
On Mike's &amp;quot;DC&amp;quot; concordance model&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:336:http://groups.yahoo.com/group/tuning/message/94317 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94317" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94317&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:336 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:337:http://groups.yahoo.com/group/tuning/message/94320 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94320" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94320&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:337 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:338:http://groups.yahoo.com/group/tuning/message/94321?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94321?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94321?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:338 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:339:http://groups.yahoo.com/group/tuning/message/94340 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94340" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94340&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:339 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:340:http://groups.yahoo.com/group/tuning/message/94695 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94695" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94695&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:340 --&gt;&lt;br /&gt;
More on triadic entropy:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:341:http://groups.yahoo.com/group/tuning/message/94570 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94570" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94570&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:341 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:342:http://groups.yahoo.com/group/tuning/message/94932 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94932" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94932&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:342 --&gt;&lt;br /&gt;
Exciting developments in keyboards:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:343:http://groups.yahoo.com/group/tuning/message/94391 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94391" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94391&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:343 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:344:http://groups.yahoo.com/group/tuning/message/94499 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94499" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94499&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:344 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:345:http://groups.yahoo.com/group/tuning/message/94518 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94518" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94518&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:345 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:346:http://groups.yahoo.com/group/tuning/message/94568 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94568" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94568&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:346 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:347:http://groups.yahoo.com/group/tuning/message/94738 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94738" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94738&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:347 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:348:http://groups.yahoo.com/group/tuning/message/94799 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94799" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94799&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:348 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:349:http://groups.yahoo.com/group/tuning/message/94802 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/94802" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/94802&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:349 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x-2010-October"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt; October &lt;/h3&gt;
&lt;br /&gt;
Links to online resources related to Xenharmonikon:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:350:http://groups.yahoo.com/group/tuning/message/93861 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93861" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93861&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:350 --&gt;&lt;br /&gt;
Contacted list founder and documented date of first post:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:351:http://groups.yahoo.com/group/tuning/message/93936 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93936" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93936&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:351 --&gt;&lt;br /&gt;
Excavated Geocities URLs from archives:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:352:http://groups.yahoo.com/group/tuning/message/93877 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93877" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93877&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:352 --&gt;&lt;br /&gt;
Answered FAQs:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:353:http://groups.yahoo.com/group/tuning/message/93815 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93815" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93815&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:353 --&gt;&lt;br /&gt;
Pitch analysis of a Maqam Al-Iraqi recording excerpt:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:354:http://groups.yahoo.com/group/tuning/message/93615 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93615" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93615&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:354 --&gt;&lt;br /&gt;
Ruminations on the meaning of &amp;quot;tonality&amp;quot;:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:355:http://groups.yahoo.com/group/tuning/message/93929 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93929" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93929&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:355 --&gt;&lt;br /&gt;
including PDF score&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:356:http://groups.yahoo.com/group/tuning/message/93940 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93940" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93940&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:356 --&gt;&lt;br /&gt;
and algorithmic method for creating tonal chord progressions&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:357:http://groups.yahoo.com/group/tuning/message/93900 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93900" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93900&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:357 --&gt;&lt;br /&gt;
Provided recipe to compute triadic harmonic entropy:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:358:http://groups.yahoo.com/group/tuning/message/93396 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93396" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93396&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:358 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:359:http://groups.yahoo.com/group/tuning/message/93399 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93399" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93399&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:359 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:360:http://groups.yahoo.com/group/tuning/message/93468 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93468" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93468&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:360 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:361:http://groups.yahoo.com/group/tuning/message/93495 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93495" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93495&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:361 --&gt;&lt;br /&gt;
Comments on Thresholds of Discrimination (Vos, van Vianen):&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:362:http://groups.yahoo.com/group/tuning/message/93512 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93512" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93512&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:362 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:363:http://groups.yahoo.com/group/tuning/message/93524 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93524" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93524&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:363 --&gt;&lt;br /&gt;
Debunked dubious claims in ethnomusicology:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:364:http://groups.yahoo.com/group/tuning/message/93584 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93584" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93584&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:364 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:365:http://groups.yahoo.com/group/tuning/message/93595 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93595" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93595&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:365 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:366:http://groups.yahoo.com/group/tuning/message/93639 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93639" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93639&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:366 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:367:http://groups.yahoo.com/group/tuning/message/93642 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93642" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93642&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:367 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:368:http://groups.yahoo.com/group/tuning/message/93658 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93658" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93658&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:368 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:369:http://groups.yahoo.com/group/tuning/message/93677 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93677" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93677&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:369 --&gt;&lt;br /&gt;
Most instruments have perfectly harmonic timbres:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:370:http://groups.yahoo.com/group/tuning/message/93770 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93770" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93770&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:370 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:371:http://groups.yahoo.com/group/tuning/message/93781 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93781" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93781&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:371 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:372:http://groups.yahoo.com/group/tuning/message/93797 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/93797" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/93797&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:372 --&gt;&lt;br /&gt;
Fokker block approach for starling[11] scales:&lt;br /&gt;
&lt;!-- ws:start:WikiTextUrlRule:373:http://groups.yahoo.com/group/tuning-math/message/18305 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18305" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18305&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:373 --&gt;&lt;br /&gt;
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Latest revision as of 00:30, 27 April 2023

Selected posts by Carl Lumma to the Yahoo! microtonal mailing lists.


2012

April

Triadic variety in MOS scales

http://groups.yahoo.com/group/tuning/message/104450

Magic[10] as a generalized diatonic

http://groups.yahoo.com/group/tuning/message/104434

January

The Diatonic Property and porcupine[7]

http://groups.yahoo.com/group/tuning/message/102605

TE vs TOP

http://groups.yahoo.com/group/tuning/message/102562

Searching for subgroups

http://groups.yahoo.com/group/tuning/message/102507

Ranking temperaments

http://groups.yahoo.com/group/tuning/message/102282

2011

December

Systematic kernelnaming

http://groups.yahoo.com/group/tuning/message/102083

An incomplete history of subgroups

http://groups.yahoo.com/group/tuning/message/102058

August

Rank range and proper MOS

http://groups.yahoo.com/group/tuning/message/101392
http://groups.yahoo.com/group/tuning/message/101393
http://groups.yahoo.com/group/tuning/message/101408
http://groups.yahoo.com/group/tuning/message/101414
http://groups.yahoo.com/group/tuning/message/101425

July

Rank-3 scales

http://groups.yahoo.com/group/tuning-math/message/19341
http://groups.yahoo.com/group/tuning-math/message/19352
http://groups.yahoo.com/group/tuning-math/message/19354
http://groups.yahoo.com/group/tuning-math/message/19360
http://groups.yahoo.com/group/tuning-math/message/19367
http://groups.yahoo.com/group/tuning-math/message/19371

June

Lumma stability

http://groups.yahoo.com/group/tuning/message/100319

May

Periodicity buzz and time-domain processing in human hearing

http://groups.yahoo.com/group/tuning/message/98941

Where theory falls short

http://groups.yahoo.com/group/tuning/message/99064

Criticism of TTSS

http://groups.yahoo.com/group/tuning/message/99106
http://groups.yahoo.com/group/tuning/message/99122
http://groups.yahoo.com/group/tuning/message/99126

Diatonic notations

http://groups.yahoo.com/group/tuning/message/99407
http://groups.yahoo.com/group/tuning/message/99475

Lattice distance and chord progressions

http://groups.yahoo.com/group/tuning/message/99447
http://groups.yahoo.com/group/tuning/message/99474

April

Complete list of just intonation dyads

http://groups.yahoo.com/group/tuning/message/97647

Little or no use of septimal harmony in doo-wop

http://groups.yahoo.com/group/tuning/message/98223

Functional harmony: Meaning and mechanism

http://groups.yahoo.com/group/tuning/message/98715

March

Grove's article on "temperament"

http://groups.yahoo.com/group/tuning/message/96704

'Mashability'

http://groups.yahoo.com/group/tuning/message/96640
http://groups.yahoo.com/group/tuning/message/96663
http://groups.yahoo.com/group/tuning/message/96692
http://groups.yahoo.com/group/tuning/message/96721

Maqam intonation analysis

http://groups.yahoo.com/group/tuning/message/96871
http://groups.yahoo.com/group/tuning/message/96881
http://groups.yahoo.com/group/tuning/message/96939
http://groups.yahoo.com/group/tuning/message/96945
http://groups.yahoo.com/group/tuning/message/96948
http://groups.yahoo.com/group/tuning/message/96949
http://groups.yahoo.com/group/tuning/message/96951
http://groups.yahoo.com/group/tuning/message/96983
http://groups.yahoo.com/group/tuning/message/97002
http://groups.yahoo.com/group/tuning/message/97013

Chromatic Pairs

http://groups.yahoo.com/group/MakeMicroMusic/message/26424

February

Generalized diatonicity

http://groups.yahoo.com/group/tuning/message/96339
http://groups.yahoo.com/group/tuning/message/96374
http://groups.yahoo.com/group/tuning/message/96402
http://groups.yahoo.com/group/tuning/message/96525

Untwelve 2010 Review

http://groups.yahoo.com/group/MakeMicroMusic/message/25148
http://groups.yahoo.com/group/MakeMicroMusic/message/25180

Heterophony

http://groups.yahoo.com/group/MakeMicroMusic/message/25280
http://groups.yahoo.com/group/MakeMicroMusic/message/25357

Scale Sieve

http://groups.yahoo.com/group/tuning-math/message/18810

January

Brats ain't no thing

http://groups.yahoo.com/group/tuning/message/95331

Dichotic listening and Periodicity Buzz

http://groups.yahoo.com/group/tuning/message/95412
http://groups.yahoo.com/group/tuning/message/95487

49:48

http://groups.yahoo.com/group/tuning/message/95661

Pajara vs. meantone

http://groups.yahoo.com/group/tuning/message/95826
http://groups.yahoo.com/group/tuning/message/95833

Extended JI in Tanzania?

http://groups.yahoo.com/group/tuning/message/95924
http://groups.yahoo.com/group/tuning/message/96002

A MOS by any other name...

http://groups.yahoo.com/group/tuning/message/95939

The changing role of pitch in music

http://groups.yahoo.com/group/MakeMicroMusic/message/24278

Electronica and microtonality

http://groups.yahoo.com/group/MakeMicroMusic/message/24381

On 4:5:6:7 approximations

http://groups.yahoo.com/group/MakeMicroMusic/message/24728

Most well temperaments sound the same

http://groups.yahoo.com/group/MakeMicroMusic/message/24967

Roots and the blues

http://groups.yahoo.com/group/MakeMicroMusic/message/25011
http://groups.yahoo.com/group/MakeMicroMusic/message/25014
http://groups.yahoo.com/group/MakeMicroMusic/message/25046
http://groups.yahoo.com/group/MakeMicroMusic/message/25048

Substitutions

http://groups.yahoo.com/group/MakeMicroMusic/message/25108

Automatic just intonation

http://groups.yahoo.com/group/tuning-math/message/18529

1029

http://groups.yahoo.com/group/tuning-math/message/18559
http://groups.yahoo.com/group/tuning-math/message/18560

Best macro-ETs

http://groups.yahoo.com/group/tuning-math/message/18593

2010

December

Triadic entropy reproduces TOP tunings when linearly constrained
http://groups.yahoo.com/group/tuning/message/94963

Triadic entropy is proportional to Tenney height for Just triads

http://groups.yahoo.com/group/tuning/message/95227

Entropy of l=u triads is related to the badness of their vanishing comma

http://groups.yahoo.com/group/tuning/message/95041

Triadic entropy vs. Cook & Fujisawa

http://groups.yahoo.com/group/tuning/message/95077

Monte Carlo triadic entropy minimizer

http://groups.yahoo.com/group/tuning/message/95028

Trilinear coordinates for tetradic entropy

http://groups.yahoo.com/group/tuning/message/95144

5:6:7 vs. 6:8:9

http://groups.yahoo.com/group/tuning/message/95162

Exotic temperaments containing 12-ET approximations

http://groups.yahoo.com/group/tuning/message/95246

Rank 1 subgroup temperaments with integer basis elements

http://groups.yahoo.com/group/tuning/message/95295

History of Pascal's triangle

http://groups.yahoo.com/group/tuning/message/95075

Microtuning on Quora

http://groups.yahoo.com/group/tuning/message/95082

Geocities archive available

http://groups.yahoo.com/group/tuning/message/95126

CELT audio codec and psychoacoustic model

http://groups.yahoo.com/group/tuning/message/95198

EverTune bridge for electric guitars

http://groups.yahoo.com/group/tuning/message/95264

November

Formula for fret division:

http://groups.yahoo.com/group/tuning/message/94198

Explaining regular mapping / father temperament:

http://groups.yahoo.com/group/tuning/message/94438
http://groups.yahoo.com/group/tuning/message/94447
http://groups.yahoo.com/group/tuning/message/94460
http://groups.yahoo.com/group/tuning/message/94482
http://groups.yahoo.com/group/tuning/message/94488

On Mike's "DC" concordance model

http://groups.yahoo.com/group/tuning/message/94317
http://groups.yahoo.com/group/tuning/message/94320
http://groups.yahoo.com/group/tuning/message/94321
http://groups.yahoo.com/group/tuning/message/94340
http://groups.yahoo.com/group/tuning/message/94695

More on triadic entropy:

http://groups.yahoo.com/group/tuning/message/94570
http://groups.yahoo.com/group/tuning/message/94932

Exciting developments in keyboards:

http://groups.yahoo.com/group/tuning/message/94391
http://groups.yahoo.com/group/tuning/message/94499
http://groups.yahoo.com/group/tuning/message/94518
http://groups.yahoo.com/group/tuning/message/94568
http://groups.yahoo.com/group/tuning/message/94738
http://groups.yahoo.com/group/tuning/message/94799
http://groups.yahoo.com/group/tuning/message/94802

October

Contacted list founder and documented date of first post:

http://groups.yahoo.com/group/tuning/message/93936

Excavated Geocities URLs from archives:

http://groups.yahoo.com/group/tuning/message/93877

Answered FAQs:

http://groups.yahoo.com/group/tuning/message/93815

Pitch analysis of a Maqam Al-Iraqi recording excerpt:

http://groups.yahoo.com/group/tuning/message/93615

Ruminations on the meaning of "tonality":

http://groups.yahoo.com/group/tuning/message/93929

http://groups.yahoo.com/group/tuning/message/93940

http://groups.yahoo.com/group/tuning/message/93900

Provided recipe to compute triadic harmonic entropy:

http://groups.yahoo.com/group/tuning/message/93396
http://groups.yahoo.com/group/tuning/message/93399
http://groups.yahoo.com/group/tuning/message/93468
http://groups.yahoo.com/group/tuning/message/93495

Comments on Thresholds of Discrimination (Vos, van Vianen):

http://groups.yahoo.com/group/tuning/message/93512
http://groups.yahoo.com/group/tuning/message/93524

Debunked dubious claims in ethnomusicology:

http://groups.yahoo.com/group/tuning/message/93584
http://groups.yahoo.com/group/tuning/message/93595
http://groups.yahoo.com/group/tuning/message/93639
http://groups.yahoo.com/group/tuning/message/93642
http://groups.yahoo.com/group/tuning/message/93658
http://groups.yahoo.com/group/tuning/message/93677

Most instruments have perfectly harmonic timbres:

http://groups.yahoo.com/group/tuning/message/93770
http://groups.yahoo.com/group/tuning/message/93781
http://groups.yahoo.com/group/tuning/message/93797

Fokker block approach for starling[11] scales:

http://groups.yahoo.com/group/tuning-math/message/18305

http://groups.yahoo.com/group/tuning-math/message/18306
http://groups.yahoo.com/group/tuning-math/message/18318

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