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>
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: 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=  
=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=  
=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=  
=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
! tsaharuk24.scl
!
!
Rational version of Tsaharuk linear temperament
Rational version of Tsaharuk linear temperament
24
24
!
!
28/27
28/27
59/56
59/56
35/32
35/32
9/8
9/8
7/6
7/6
32/27
32/27
59/48
59/48
5/4
5/4
35/27
35/27
4/3
4/3
112/81
112/81
59/42
59/42
35/24
35/24
3/2
3/2
14/9
14/9
128/81
128/81
59/36
59/36
27/16
27/16
7/4
7/4
16/9
16/9
59/32
59/32
15/8
15/8
35/18
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">&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;
24&lt;br /&gt;
!&lt;br /&gt;
28/27&lt;br /&gt;
59/56&lt;br /&gt;
35/32&lt;br /&gt;
9/8&lt;br /&gt;
7/6&lt;br /&gt;
32/27&lt;br /&gt;
59/48&lt;br /&gt;
5/4&lt;br /&gt;
35/27&lt;br /&gt;
4/3&lt;br /&gt;
112/81&lt;br /&gt;
59/42&lt;br /&gt;
35/24&lt;br /&gt;
3/2&lt;br /&gt;
14/9&lt;br /&gt;
128/81&lt;br /&gt;
59/36&lt;br /&gt;
27/16&lt;br /&gt;
7/4&lt;br /&gt;
16/9&lt;br /&gt;
59/32&lt;br /&gt;
15/8&lt;br /&gt;
35/18&lt;br /&gt;
2/1&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018


Temperaments

Tsaharuk is a linear temperament proposed by Jacques Dudon based on Julien Jalaleddine Weiss qanun tunings, which has MOS of size 43, 60, 77 and 94 notes. See discussion on the Yahoo tuning list. 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 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. 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.

Horagram

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

A 24 notes JI realization

See 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