Tsaharuk: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

__FORCETOC__

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

-----

~~: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 02:54:46 UTC</tt>.<br>~~

~~: The original revision id was <tt>248099749</tt>.<br>~~

~~: The revision comment was: <tt></tt><br>~~

~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-~~html">[[toc|flat]]~~

----

=Temperaments=

[[~~Schismatic family~~#Tsaharuk|Tsaharuk]] is a linear temperament proposed by [[Jacques Dudon]] based on [[Julien Jalaleddine Weiss]] qanun tunings, which has [[MOSScales|MOS]] of size 43, 60, 77 and 94 notes. See [[http://launch.groups.yahoo.com/group/tuning/message/100718|discussion on the Yahoo tuning list]]. [[~~Chromatic pairs~~#Bleu|Bleu]] has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is [[~~Hemifamity temperaments~~#Quanic|Quanic]], which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. [[~~edo~~|Equal divisions of the octave]] that support Tsaharuk include [[77edo]], [[94edo]], [[171edo]] and [[248edo]], and edos supporting Quanic are [[94edo]], [[111edo]] and [[205edo]]. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.

[[Schismatic_family#Tsaharuk|Tsaharuk]] is a linear temperament proposed by [[Jacques_Dudon|Jacques Dudon]] based on [[Julien_Jalaleddine_Weiss|Julien Jalaleddine Weiss]] qanun tunings, which has [[MOSScales|MOS]] of size 43, 60, 77 and 94 notes. See [http://launch.groups.yahoo.com/group/tuning/message/100718 discussion on the Yahoo tuning list]. [[Chromatic_pairs#Bleu|Bleu]] has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is [[Hemifamity_temperaments#Quanic|Quanic]], which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. [[EDO|Equal divisions of the octave]] that support Tsaharuk include [[77edo|77edo]], [[94edo|94edo]], [[171edo|171edo]] and [[248edo|248edo]], and edos supporting Quanic are [[94edo|94edo]], [[111edo|111edo]] and [[205edo|205edo]]. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.

=Horagram=

[[~~image~~:Tsaharuk.jpg ~~width~~=~~"560" height="696" caption="~~Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)~~"]]~~

{| class="wikitable"

|-

|-

| | Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)

|}

=A 24 notes JI realization=

See [[http://launch.groups.yahoo.com/group/tuning/message/100885|Entry on the Yahoo tuning list]] for explanation

See [http://launch.groups.yahoo.com/group/tuning/message/100885 Entry on the Yahoo tuning list] for explanation

! tsaharuk24.scl

!

Rational version of Tsaharuk linear temperament

24

!

28/27

59/56

35/32

9/8

7/6

32/27

59/48

5/4

35/27

4/3

112/81

59/42

35/24

3/2

14/9

128/81

59/36

27/16

7/4

16/9

59/32

15/8

35/18

~~2/1</pre></div>~~

~~<h4>Original HTML content:</h4>~~

2/1

<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"><html><head><title>Tsaharuk</title></head><body><a href="#Temperaments">Temperaments</a> | <a href="#Horagram">Horagram</a> | <a href="#A 24 notes JI realization">A 24 notes JI realization</a>

~~<hr />~~

~~<br />~~

~~<h1 id="toc0"><a name="Temperaments"></a>Temperaments</h1>~~

<a class="wiki_link" href="/Schismatic%20family#Tsaharuk">Tsaharuk</a> is a linear temperament proposed by <a class="wiki_link" href="/Jacques%20Dudon">Jacques Dudon</a> based on <a class="wiki_link" href="/Julien%20Jalaleddine%20Weiss">Julien Jalaleddine Weiss</a> qanun tunings, which has <a class="wiki_link" href="/MOSScales">MOS</a> of size 43, 60, 77 and 94 notes. See <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100718" rel="nofollow">discussion on the Yahoo tuning list</a>. <a class="wiki_link" href="/Chromatic%20pairs#Bleu">Bleu</a> has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is <a class="wiki_link" href="/Hemifamity%20temperaments#Quanic">Quanic</a>, which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. <a class="wiki_link" href="/edo">Equal divisions of the octave</a> that support Tsaharuk include <a class="wiki_link" href="/77edo">77edo</a>, <a class="wiki_link" href="/94edo">94edo</a>, <a class="wiki_link" href="/171edo">171edo</a> and <a class="wiki_link" href="/248edo">248edo</a>, and edos supporting Quanic are <a class="wiki_link" href="/94edo">94edo</a>, <a class="wiki_link" href="/111edo">111edo</a> and <a class="wiki_link" href="/205edo">205edo</a>. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.<br />

~~<br />~~

~~<h1 id="toc1"><a name="Horagram"></a>Horagram</h1>~~

~~<br />~~

<table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Tsaharuk.jpg/242631361/560x696/Tsaharuk.jpg" alt="Tsaharuk.jpg" title="Tsaharuk.jpg" style="height: 696px; width: 560px;" /></td></tr><tr><td class="imageCaption">Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)</td></tr></table><br />

~~<br />~~

<h1 id="toc2"><a name="A 24 notes JI realization"></a>A 24 notes JI realization</h1>

~~See <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100885" rel="nofollow">Entry on the Yahoo tuning list</a> for explanation<br />~~

~~<br />~~

~~! tsaharuk24.scl<br />~~

~~!<br />~~

~~Rational version of Tsaharuk linear temperament<br />~~

~~24<br />~~

~~!<br />~~

~~28/27<br />~~

~~59/56<br />~~

~~35/32<br />~~

~~9/8<br />~~

~~7/6<br />~~

~~32/27<br />~~

~~59/48<br />~~

~~5/4<br />~~

~~35/27<br />~~

~~4/3<br />~~

~~112/81<br />~~

~~59/42<br />~~

~~35/24<br />~~

~~3/2<br />~~

~~14/9<br />~~

~~128/81<br />~~

~~59/36<br />~~

~~27/16<br />~~

~~7/4<br />~~

~~16/9<br />~~

~~59/32<br />~~

~~15/8<br />~~

~~35/18<br />~~

2/1~~</body></html></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+__FORCETOC__
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+-----
-: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 02:54:46 UTC</tt>.<br>
-: The original revision id was <tt>248099749</tt>.<br>
-: The revision comment was: <tt></tt><br>
-The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
-----
 =Temperaments=
-[[Schismatic family#Tsaharuk|Tsaharuk]] is a linear temperament proposed by [[Jacques Dudon]] based on [[Julien Jalaleddine Weiss]] qanun tunings, which has [[MOSScales|MOS]] of size 43, 60, 77 and 94 notes. See [[http://launch.groups.yahoo.com/group/tuning/message/100718|discussion on the Yahoo tuning list]]. [[Chromatic pairs#Bleu|Bleu]] has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is [[Hemifamity temperaments#Quanic|Quanic]], which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. [[edo|Equal divisions of the octave]] that support Tsaharuk include [[77edo]], [[94edo]], [[171edo]] and [[248edo]], and edos supporting Quanic are [[94edo]], [[111edo]] and [[205edo]]. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.
+[[Schismatic_family#Tsaharuk|Tsaharuk]] is a linear temperament proposed by [[Jacques_Dudon|Jacques Dudon]] based on [[Julien_Jalaleddine_Weiss|Julien Jalaleddine Weiss]] qanun tunings, which has [[MOSScales|MOS]] of size 43, 60, 77 and 94 notes. See [http://launch.groups.yahoo.com/group/tuning/message/100718 discussion on the Yahoo tuning list]. [[Chromatic_pairs#Bleu|Bleu]] has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is [[Hemifamity_temperaments#Quanic|Quanic]], which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. [[EDO|Equal divisions of the octave]] that support Tsaharuk include [[77edo|77edo]], [[94edo|94edo]], [[171edo|171edo]] and [[248edo|248edo]], and edos supporting Quanic are [[94edo|94edo]], [[111edo|111edo]] and [[205edo|205edo]]. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.
 =Horagram=
-[[image:Tsaharuk.jpg width="560" height="696" caption="Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)"]]
+{| class="wikitable"
+|-
+| | [[File:Tsaharuk.jpg|alt=Tsaharuk.jpg|560x696px|Tsaharuk.jpg]]
+|-
+| | Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)
+|}
 =A 24 notes JI realization=
-See [[http://launch.groups.yahoo.com/group/tuning/message/100885|Entry on the Yahoo tuning list]] for explanation
+See [http://launch.groups.yahoo.com/group/tuning/message/100885 Entry on the Yahoo tuning list] for explanation
 ! tsaharuk24.scl
 !
 Rational version of Tsaharuk linear temperament
 !
 /27
 /56
 /32
 /8
 /6
 /27
 /48
 /4
 /27
 /3
 /81
 /42
 /24
 /2
 /9
 /81
 /36
 /16
 /4
 /9
 /32
 /8
 /18
-/1</pre></div>
-<h4>Original HTML content:</h4>
+/1
-<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;Tsaharuk&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Temperaments"&gt;Temperaments&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Horagram"&gt;Horagram&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#A 24 notes JI realization"&gt;A 24 notes JI realization&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;hr /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Temperaments&lt;/h1&gt;
- &lt;a class="wiki_link" href="/Schismatic%20family#Tsaharuk"&gt;Tsaharuk&lt;/a&gt; is a linear temperament proposed by &lt;a class="wiki_link" href="/Jacques%20Dudon"&gt;Jacques Dudon&lt;/a&gt; based on &lt;a class="wiki_link" href="/Julien%20Jalaleddine%20Weiss"&gt;Julien Jalaleddine Weiss&lt;/a&gt; qanun tunings, which has &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; of size 43, 60, 77 and 94 notes. See &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100718" rel="nofollow"&gt;discussion on the Yahoo tuning list&lt;/a&gt;. &lt;a class="wiki_link" href="/Chromatic%20pairs#Bleu"&gt;Bleu&lt;/a&gt; has, like Tsaharuk, a generator of 1/5 fifth and makes for an instructive comparison. Another temperament with a 1/5 of a fifth generator is &lt;a class="wiki_link" href="/Hemifamity%20temperaments#Quanic"&gt;Quanic&lt;/a&gt;, which has a sharper fifth and works better for higher-limit temperaments, but which also has MOS of size 43, 60, 77 and 94 notes. &lt;a class="wiki_link" href="/edo"&gt;Equal divisions of the octave&lt;/a&gt; that support Tsaharuk include &lt;a class="wiki_link" href="/77edo"&gt;77edo&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;, &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt; and &lt;a class="wiki_link" href="/248edo"&gt;248edo&lt;/a&gt;, and edos supporting Quanic are &lt;a class="wiki_link" href="/94edo"&gt;94edo&lt;/a&gt;, &lt;a class="wiki_link" href="/111edo"&gt;111edo&lt;/a&gt; and &lt;a class="wiki_link" href="/205edo"&gt;205edo&lt;/a&gt;. Quanic and Tsaharuk therefore become identical if 94edo is the tuning.&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Horagram"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Horagram&lt;/h1&gt;
- &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:12:&amp;lt;img src=&amp;quot;/file/view/Tsaharuk.jpg/242631361/560x696/Tsaharuk.jpg&amp;quot; alt=&amp;quot;Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)&amp;quot; title=&amp;quot;Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)&amp;quot; style=&amp;quot;height: 696px; width: 560px;&amp;quot; /&amp;gt; --&gt;&lt;table class="captionBox"&gt;&lt;tr&gt;&lt;td class="captionedImage"&gt;&lt;img src="/file/view/Tsaharuk.jpg/242631361/560x696/Tsaharuk.jpg" alt="Tsaharuk.jpg" title="Tsaharuk.jpg" style="height: 696px; width: 560px;" /&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="imageCaption"&gt;Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;&lt;!-- ws:end:WikiTextLocalImageRule:12 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="A 24 notes JI realization"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;A 24 notes JI realization&lt;/h1&gt;
- See &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100885" rel="nofollow"&gt;Entry on the Yahoo tuning list&lt;/a&gt; for explanation&lt;br /&gt;
-&lt;br /&gt;
-! tsaharuk24.scl&lt;br /&gt;
-!&lt;br /&gt;
-Rational version of Tsaharuk linear temperament&lt;br /&gt;
-&lt;br /&gt;
-!&lt;br /&gt;
-/27&lt;br /&gt;
-/56&lt;br /&gt;
-/32&lt;br /&gt;
-/8&lt;br /&gt;
-/6&lt;br /&gt;
-/27&lt;br /&gt;
-/48&lt;br /&gt;
-/4&lt;br /&gt;
-/27&lt;br /&gt;
-/3&lt;br /&gt;
-/81&lt;br /&gt;
-/42&lt;br /&gt;
-/24&lt;br /&gt;
-/2&lt;br /&gt;
-/9&lt;br /&gt;
-/81&lt;br /&gt;
-/36&lt;br /&gt;
-/16&lt;br /&gt;
-/4&lt;br /&gt;
-/9&lt;br /&gt;
-/32&lt;br /&gt;
-/8&lt;br /&gt;
-/18&lt;br /&gt;
-/1&lt;/body&gt;&lt;/html&gt;</pre></div>