26edo: Difference between revisions

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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:

: This revision was by author [[User:~~igliashon~~|~~igliashon~~]] and made on <tt>2011-05-~~26 20~~:35:49 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-27 03:22:48 UTC</tt>.

: The original revision id was <tt>~~232258872~~</tt>.

: The original revision id was <tt>232317066</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.

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|| 7\26 || || || || ||

Orgone tempers out ~~65539~~/65219 = |16 0 0 -2 -3>, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

Orgone tempers out 65536/65219 = |16 0 0 -2 -3>, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.

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Orgone tempers out ~~65539~~/65219 = |16 0 0 -2 -3&gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

Orgone tempers out 65536/65219 = |16 0 0 -2 -3&gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.

@@ 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:igliashon|igliashon]] and made on <tt>2011-05-26 20:35:49 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-27 03:22:48 UTC</tt>.<br>
-: The original revision id was <tt>232258872</tt>.<br>
+: The original revision id was <tt>232317066</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 48: / Line 48: @@
 || 7\26 ||   ||   ||   ||   ||
-Orgone tempers out 65539/65219 = |16 0 0 -2 -3&gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.
+Orgone tempers out 65536/65219 = |16 0 0 -2 -3&gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.
 If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.
@@ Line 333: / Line 333: @@
 &lt;br /&gt;
-Orgone tempers out 65539/65219 = |16 0 0 -2 -3&amp;gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.&lt;br /&gt;
+Orgone tempers out 65536/65219 = |16 0 0 -2 -3&amp;gt;, and has a minimax tuning which sharpens both 7 and 11 by 1/5 of this comma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgone comma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.&lt;br /&gt;
 &lt;br /&gt;
 If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.&lt;br /&gt;