Tsaharuk

From Xenharmonic Wiki
Revision as of 02:54, 24 August 2011 by Wikispaces>hstraub (**Imported revision 248099749 - Original comment: **)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author hstraub and made on 2011-08-24 02:54:46 UTC.
The original revision id was 248099749.
The revision comment was:

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

Original Wikitext content:

[[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.

=Horagram= 

[[image:Tsaharuk.jpg width="560" height="696" caption="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

! 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

Original HTML content:

<html><head><title>Tsaharuk</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Temperaments">Temperaments</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Horagram">Horagram</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#A 24 notes JI realization">A 24 notes JI realization</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><hr />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->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 />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Horagram"></a><!-- ws:end:WikiTextHeadingRule:2 -->Horagram</h1>
 <br />
<!-- ws:start:WikiTextLocalImageRule:12:&lt;img src=&quot;/file/view/Tsaharuk.jpg/242631361/560x696/Tsaharuk.jpg&quot; alt=&quot;Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)&quot; title=&quot;Parametric horagram of Tsaharuk temperament (used by permission Jacques Dudon)&quot; style=&quot;height: 696px; width: 560px;&quot; /&gt; --><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><!-- ws:end:WikiTextLocalImageRule:12 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="A 24 notes JI realization"></a><!-- ws:end:WikiTextHeadingRule:4 -->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>