Mailing list articles by Carl Lumma: Difference between revisions

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

== 2012 ==
=== April ===

Triadic variety in MOS scales
http://groups.yahoo.com/group/tuning/message/104450?var=0
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?var=0
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?var=0&l=1
http://groups.yahoo.com/group/tuning/message/99475?var=0&l=1
Lattice distance and chord progressions
http://groups.yahoo.com/group/tuning/message/99447?var=0&l=1
http://groups.yahoo.com/group/tuning/message/99474?var=0&l=1

=== April ===

Complete list of just intonation dyads
http://groups.yahoo.com/group/tuning/message/97647?var=0&l=1
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?var=0&l=1
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/94932
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?source=1&var=0&l=1
http://groups.yahoo.com/group/tuning/message/94447?var=0&l=1
http://groups.yahoo.com/group/tuning/message/94460?var=0&l=1
http://groups.yahoo.com/group/tuning/message/94482?var=0&l=1
http://groups.yahoo.com/group/tuning/message/94488?var=0&l=1
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?var=0&l=1
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 ===

Links to online resources related to Xenharmonikon:
http://groups.yahoo.com/group/tuning/message/93861
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
including PDF score
http://groups.yahoo.com/group/tuning/message/93940
and algorithmic method for creating tonal chord progressions
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/18318
http://groups.yahoo.com/group/tuning-math/message/18306?var=0&l=1

Original HTML content:

<html><head><title>Mailing list articles by Carl Lumma</title></head><body>Selected posts by <a class="wiki_link" href="/Carl%20Lumma">Carl Lumma</a> to the Yahoo! microtonal mailing lists.<br />
<!-- ws:start:WikiTextTocRule:34:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 2em;"><a href="#x-2012"> 2012 </a></div>
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 3em;"><a href="#x-2012-April"> April </a></div>
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 3em;"><a href="#x-2012-January"> January </a></div>
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 2em;"><a href="#x-2011"> 2011 </a></div>
<!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 3em;"><a href="#x-2011-December"> December </a></div>
<!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 3em;"><a href="#x-2011-August"> August </a></div>
<!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 3em;"><a href="#x-2011-July"> July </a></div>
<!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 3em;"><a href="#x-2011-June"> June </a></div>
<!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 3em;"><a href="#x-2011-May"> May </a></div>
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 3em;"><a href="#x-2011-April"> April </a></div>
<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 3em;"><a href="#x-2011-March"> March </a></div>
<!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 3em;"><a href="#x-2011-February"> February </a></div>
<!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 3em;"><a href="#x-2011-January"> January </a></div>
<!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 2em;"><a href="#x-2010"> 2010 </a></div>
<!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 3em;"><a href="#x-2010-December"> December </a></div>
<!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 3em;"><a href="#x-2010-November"> November </a></div>
<!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 3em;"><a href="#x-2010-October"> October </a></div>
<!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --></div>
<!-- ws:end:WikiTextTocRule:52 --><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-2012"></a><!-- ws:end:WikiTextHeadingRule:0 --> 2012 </h2>
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<br />
Triadic variety in MOS scales<br />
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Magic[10] as a generalized diatonic<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-2012-January"></a><!-- ws:end:WikiTextHeadingRule:4 --> January </h3>
<br />
The Diatonic Property and porcupine[7]<br />
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TE vs TOP<br />
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Searching for subgroups<br />
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Ranking temperaments<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-2011"></a><!-- ws:end:WikiTextHeadingRule:6 --> 2011 </h2>
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<br />
Systematic kernelnaming<br />
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An incomplete history of subgroups<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-2011-August"></a><!-- ws:end:WikiTextHeadingRule:10 --> August </h3>
<br />
Rank range and proper MOS<br />
<!-- ws:start:WikiTextUrlRule:304:http://groups.yahoo.com/group/tuning/message/101392 --><a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/101392" rel="nofollow">http://groups.yahoo.com/group/tuning/message/101392</a><!-- ws:end:WikiTextUrlRule:304 --><br />
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Rank-3 scales<br />
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<br />
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<br />
Lumma stability<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x-2011-May"></a><!-- ws:end:WikiTextHeadingRule:16 --> May </h3>
<br />
Periodicity buzz and time-domain processing in human hearing<br />
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Where theory falls short<br />
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Criticism of TTSS<br />
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Diatonic notations<br />
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Lattice distance and chord progressions<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x-2011-April"></a><!-- ws:end:WikiTextHeadingRule:18 --> April </h3>
<br />
Complete list of just intonation dyads<br />
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Little or no use of septimal harmony in doo-wop<br />
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Functional harmony: Meaning and mechanism<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x-2011-March"></a><!-- ws:end:WikiTextHeadingRule:20 --> March </h3>
<br />
Grove's article on &quot;temperament&quot;<br />
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'Mashability'<br />
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Maqam intonation analysis<br />
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Chromatic Pairs<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x-2011-February"></a><!-- ws:end:WikiTextHeadingRule:22 --> February </h3>
<br />
Generalized diatonicity<br />
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Untwelve 2010 Review<br />
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Heterophony<br />
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Scale Sieve<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x-2011-January"></a><!-- ws:end:WikiTextHeadingRule:24 --> January </h3>
<br />
Brats ain't no thing<br />
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Dichotic listening and Periodicity Buzz<br />
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49:48<br />
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Pajara vs. meantone<br />
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Extended JI in Tanzania?<br />
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A MOS by any other name...<br />
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The changing role of pitch in music<br />
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Electronica and microtonality<br />
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On 4:5:6:7 approximations<br />
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Most well temperaments sound the same<br />
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Roots and the blues<br />
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Substitutions<br />
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Automatic just intonation<br />
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1029<br />
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Best macro-ETs<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x-2010"></a><!-- ws:end:WikiTextHeadingRule:26 --> 2010 </h2>
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<br />
Triadic entropy reproduces TOP tunings when linearly constrained<br />
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Triadic entropy is proportional to Tenney height for Just triads<br />
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Entropy of l=u triads is related to the badness of their vanishing comma<br />
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Triadic entropy vs. Cook &amp; Fujisawa<br />
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Monte Carlo triadic entropy minimizer<br />
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Trilinear coordinates for tetradic entropy<br />
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5:6:7 vs. 6:8:9<br />
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Exotic temperaments containing 12-ET approximations<br />
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Rank 1 subgroup temperaments with integer basis elements<br />
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History of Pascal's triangle<br />
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Microtuning on Quora<br />
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Geocities archive available<br />
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CELT audio codec and psychoacoustic model<br />
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EverTune bridge for electric guitars<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x-2010-November"></a><!-- ws:end:WikiTextHeadingRule:30 --> November </h3>
<br />
Formula for fret division:<br />
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Explaining regular mapping / father temperament:<br />
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On Mike's &quot;DC&quot; concordance model<br />
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More on triadic entropy:<br />
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Exciting developments in keyboards:<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x-2010-October"></a><!-- ws:end:WikiTextHeadingRule:32 --> October </h3>
<br />
Links to online resources related to Xenharmonikon:<br />
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Contacted list founder and documented date of first post:<br />
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Excavated Geocities URLs from archives:<br />
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Answered FAQs:<br />
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Pitch analysis of a Maqam Al-Iraqi recording excerpt:<br />
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Ruminations on the meaning of &quot;tonality&quot;:<br />
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including PDF score<br />
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and algorithmic method for creating tonal chord progressions<br />
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Provided recipe to compute triadic harmonic entropy:<br />
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Comments on Thresholds of Discrimination (Vos, van Vianen):<br />
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Debunked dubious claims in ethnomusicology:<br />
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Most instruments have perfectly harmonic timbres:<br />
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Fokker block approach for starling[11] scales:<br />
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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-04-20 17:21:46 UTC</tt>.<br>
+: This revision was by author [[User:clumma|clumma]] and made on <tt>2012-12-05 02:25:10 UTC</tt>.<br>
-: The original revision id was <tt>323409358</tt>.<br>
+: The original revision id was <tt>389270572</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 26: / Line 26: @@
 http://groups.yahoo.com/group/tuning/message/102507
 Ranking temperaments
-http://groups.yahoo.com/group/tuning/message/102253
+http://groups.yahoo.com/group/tuning/message/102282
-http://groups.yahoo.com/group/tuning/message/102280
 == 2011 ==
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 &lt;br /&gt;
 Triadic variety in MOS scales&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:297:http://groups.yahoo.com/group/tuning/message/104450?var=0 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/104450?var=0" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/104450?var=0&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:297 --&gt;&lt;br /&gt;
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 Magic[10] as a generalized diatonic&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:297:http://groups.yahoo.com/group/tuning/message/104434 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/104434" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/104434&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:297 --&gt;&lt;br /&gt;
 &lt;br /&gt;
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 &lt;br /&gt;
 The Diatonic Property and porcupine[7]&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:298:http://groups.yahoo.com/group/tuning/message/102605 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning/message/102605" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning/message/102605&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:298 --&gt;&lt;br /&gt;
 TE vs TOP&lt;br /&gt;
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 Searching for subgroups&lt;br /&gt;
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 Ranking temperaments&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-2011"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; 2011 &lt;/h2&gt;
@@ Line 314: / Line 312: @@
 &lt;br /&gt;
 Systematic kernelnaming&lt;br /&gt;
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 An incomplete history of subgroups&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-2011-August"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; August &lt;/h3&gt;
 &lt;br /&gt;
 Rank range and proper MOS&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-2011-July"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt; July &lt;/h3&gt;
 &lt;br /&gt;
 Rank-3 scales&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-2011-June"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt; June &lt;/h3&gt;
 &lt;br /&gt;
 Lumma stability&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-2011-May"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt; May &lt;/h3&gt;
 &lt;br /&gt;
 Periodicity buzz and time-domain processing in human hearing&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:316: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:316 --&gt;&lt;br /&gt;
 Where theory falls short&lt;br /&gt;
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 Criticism of TTSS&lt;br /&gt;
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 Diatonic notations&lt;br /&gt;
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 Lattice distance and chord progressions&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-2011-April"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt; April &lt;/h3&gt;
 &lt;br /&gt;
 Complete list of just intonation dyads&lt;br /&gt;
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 Little or no use of septimal harmony in doo-wop&lt;br /&gt;
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 Functional harmony: Meaning and mechanism&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-2011-March"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; March &lt;/h3&gt;
 &lt;br /&gt;
 Grove's article on &amp;quot;temperament&amp;quot;&lt;br /&gt;
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 'Mashability'&lt;br /&gt;
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 Maqam intonation analysis&lt;br /&gt;
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 Chromatic Pairs&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:343: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:343 --&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-2011-February"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt; February &lt;/h3&gt;
 &lt;br /&gt;
 Generalized diatonicity&lt;br /&gt;
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 Untwelve 2010 Review&lt;br /&gt;
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 Heterophony&lt;br /&gt;
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 Scale Sieve&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x-2011-January"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt; January &lt;/h3&gt;
 &lt;br /&gt;
 Brats ain't no thing&lt;br /&gt;
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 Dichotic listening and Periodicity Buzz&lt;br /&gt;
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 :48&lt;br /&gt;
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 Pajara vs. meantone&lt;br /&gt;
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 Extended JI in Tanzania?&lt;br /&gt;
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 A MOS by any other name...&lt;br /&gt;
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 The changing role of pitch in music&lt;br /&gt;
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 Electronica and microtonality&lt;br /&gt;
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 On 4:5:6:7 approximations&lt;br /&gt;
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 Most well temperaments sound the same&lt;br /&gt;
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 Roots and the blues&lt;br /&gt;
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 Substitutions&lt;br /&gt;
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 Automatic just intonation&lt;br /&gt;
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 &lt;br /&gt;
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 Best macro-ETs&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-2010"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt; 2010 &lt;/h2&gt;
@@ Line 451: / Line 449: @@
 &lt;br /&gt;
 Triadic entropy reproduces TOP tunings when linearly constrained&lt;br /&gt;
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 Triadic entropy is proportional to Tenney height for Just triads&lt;br /&gt;
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 Entropy of l=u triads is related to the badness of their vanishing comma&lt;br /&gt;
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 Triadic entropy vs. Cook &amp;amp; Fujisawa&lt;br /&gt;
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 Monte Carlo triadic entropy minimizer&lt;br /&gt;
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 Trilinear coordinates for tetradic entropy&lt;br /&gt;
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 :6:7 vs. 6:8:9&lt;br /&gt;
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 Exotic temperaments containing 12-ET approximations&lt;br /&gt;
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 Rank 1 subgroup temperaments with integer basis elements&lt;br /&gt;
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 History of Pascal's triangle&lt;br /&gt;
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 Microtuning on Quora&lt;br /&gt;
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 Geocities archive available&lt;br /&gt;
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 CELT audio codec and psychoacoustic model&lt;br /&gt;
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 EverTune bridge for electric guitars&lt;br /&gt;
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 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-2010-November"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt; November &lt;/h3&gt;
 &lt;br /&gt;
 Formula for fret division:&lt;br /&gt;
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 Explaining regular mapping / father temperament:&lt;br /&gt;
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 On Mike's &amp;quot;DC&amp;quot; concordance model&lt;br /&gt;
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 More on triadic entropy:&lt;br /&gt;
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 Exciting developments in keyboards:&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:409: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:409 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-2010-October"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt; October &lt;/h3&gt;
 &lt;br /&gt;
 Links to online resources related to Xenharmonikon:&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:410: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:410 --&gt;&lt;br /&gt;
 Contacted list founder and documented date of first post:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:413: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:413 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextUrlRule:411: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:411 --&gt;&lt;br /&gt;
 Excavated Geocities URLs from archives:&lt;br /&gt;
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 Answered FAQs:&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:413: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:413 --&gt;&lt;br /&gt;
 Pitch analysis of a Maqam Al-Iraqi recording excerpt:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:416: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:416 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextUrlRule:414: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:414 --&gt;&lt;br /&gt;
 Ruminations on the meaning of &amp;quot;tonality&amp;quot;:&lt;br /&gt;
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 including PDF score&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:418: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:418 --&gt;&lt;br /&gt;
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 and algorithmic method for creating tonal chord progressions&lt;br /&gt;
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 Provided recipe to compute triadic harmonic entropy:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:420: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:420 --&gt;&lt;br /&gt;
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 Comments on Thresholds of Discrimination (Vos, van Vianen):&lt;br /&gt;
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-&lt;!-- ws:start:WikiTextUrlRule:425: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:425 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextUrlRule:423: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:423 --&gt;&lt;br /&gt;
 Debunked dubious claims in ethnomusicology:&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:429: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:429 --&gt;&lt;br /&gt;
 Most instruments have perfectly harmonic timbres:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:432: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:432 --&gt;&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:432: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:432 --&gt;&lt;br /&gt;
 Fokker block approach for starling[11] scales:&lt;br /&gt;
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+&lt;!-- ws:start:WikiTextUrlRule:434:http://groups.yahoo.com/group/tuning-math/message/18318 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18318" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18318&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:434 --&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextUrlRule:437:http://groups.yahoo.com/group/tuning-math/message/18306?var=0&amp;amp;l=1 --&gt;&lt;a class="wiki_link_ext" href="http://groups.yahoo.com/group/tuning-math/message/18306?var=0&amp;amp;l=1" rel="nofollow"&gt;http://groups.yahoo.com/group/tuning-math/message/18306?var=0&amp;amp;l=1&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:437 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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Mailing list articles by Carl Lumma: Difference between revisions

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