Tuning systems for qanun: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-11-08 07:42:15 UTC</tt>.

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-11-08 07:42:55 UTC</tt>.

: The original revision id was <tt>~~273066868~~</tt>.

: The original revision id was <tt>273067010</tt>.

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

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

Line 156:

The idea behind this system is as follows:

Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for [[14_13|14/13 ]](two-third tone, a favorite interval of [[http://en.wikipedia.org/wiki/Avicenna|Avicenna/Ibn Sina]]).

Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for [[14_13|14/13]] (two-third tone, a favorite interval of [[http://en.wikipedia.org/wiki/Avicenna|Avicenna/Ibn Sina]]).

The division of the apotome derived from this combines the known basic division into apotome, Zarlinian semitone and apotome with an equal division into 3 parts, which yields the following mandal positions (cents):

Line 664:

The idea behind this system is as follows:

Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for <a class="wiki_link" href="/14_13">14/13 </a>(two-third tone, a favorite interval of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow">Avicenna/Ibn Sina</a>).

Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for <a class="wiki_link" href="/14_13">14/13</a> (two-third tone, a favorite interval of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow">Avicenna/Ibn Sina</a>).

The division of the apotome derived from this combines the known basic division into apotome, Zarlinian semitone and apotome with an equal division into 3 parts, which yields the following mandal positions (cents):

@@ Line 1: / Line 1: @@
 <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:hstraub|hstraub]] and made on <tt>2011-11-08 07:42:15 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-11-08 07:42:55 UTC</tt>.<br>
-: The original revision id was <tt>273066868</tt>.<br>
+: The original revision id was <tt>273067010</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 156: / Line 156: @@
 © J.J. Weiss
 The idea behind this system is as follows:
-Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for [[14_13|14/13 ]](two-third tone, a favorite interval of [[http://en.wikipedia.org/wiki/Avicenna|Avicenna/Ibn Sina]]).
+Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for [[14_13|14/13]] (two-third tone, a favorite interval of [[http://en.wikipedia.org/wiki/Avicenna|Avicenna/Ibn Sina]]).
 The division of the apotome derived from this combines the known basic division into apotome, Zarlinian semitone and apotome with an equal division into 3 parts, which yields the following mandal positions (cents):
@@ Line 664: / Line 664: @@
   © J.J. Weiss&lt;br /&gt;
 The idea behind this system is as follows:&lt;br /&gt;
-Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for &lt;a class="wiki_link" href="/14_13"&gt;14/13 &lt;/a&gt;(two-third tone, a favorite interval of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow"&gt;Avicenna/Ibn Sina&lt;/a&gt;).&lt;br /&gt;
+Dividing the apotome (114 cents) into 3 equal parts gives 38 cents, and adding this to the pythagorean limma (90 cents) gives 128 cents, which is an approximation for &lt;a class="wiki_link" href="/14_13"&gt;14/13&lt;/a&gt; (two-third tone, a favorite interval of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow"&gt;Avicenna/Ibn Sina&lt;/a&gt;).&lt;br /&gt;
 &lt;br /&gt;
 The division of the apotome derived from this combines the known basic division into apotome, Zarlinian semitone and apotome with an equal division into 3 parts, which yields the following mandal positions (cents):&lt;br /&gt;