7L 2s: 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:JosephRuhf|JosephRuhf]] and made on <tt>2012-10-~~04 18~~:48:52 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-25 22:15:50 UTC</tt>.

: The original revision id was <tt>~~370380708~~</tt>.

: The original revision id was <tt>385912630</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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||= 4\[[7edo|7]] ||= ||= ||= ||= ||= ||= ||= ||= || 685.714 ||< 1 1 1 0 1 1 1 1 0 ||< ||

||= ||= 21\[[37edo|37]] ||= ||= ||= ||= ||= ||= ||= || 681.081 ||< 5 5 5 1 5 5 5 5 1 ||< ||

||= ||= ||= 17\[[30edo|30]] ||= ||= ||= ||= ||= ||= || 680 ||< 4 4 4 1 4 4 4 4 1 ||< ||

||= ||= ||= 17\[[30edo|30]] ||= ||= ||= ||= ||= ||= || 680 ||< 4 4 4 1 4 4 4 4 1 ||< generators larger than this are "impractical" ||

||= ||= ||= ||= 30\[[53edo|53]] ||= ||= ||= ||= ||= || 679.245 ||< 7 7 7 2 7 7 7 7 2 ||< ||

||= ||= ||= ||= ||= 121\[[214edo|214]] ||= ||= ||= ||= || 678.505 ||< 28 28 28 9 28 28 28 28 9 ||< 28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||

||= ||= ||= ||= 134\[[237edo|237]] ||= ||= ||= ||= ||= || 678.481 ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size

of Hornbostel '6th') ||

||= ||= ||= 13\[[23edo|23]] ||= ||= ||= ||= ||= ||= || 678.261 ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||

||= ||= ||= 13\[[23edo|23]] ||= ||= ||= ||= ||= ||= || 678.261 ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)

generators largerer than this may be considered "impractical" ||

|| || || || 126\[[223edo|223]] || || || || || || 678.027 || 29 29 29 10 29 29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||

||= ||= ||= ||= ||= 113\[[200edo|200]] ||= ||= ||= ||= || 678 ||< 26 26 26 9 26 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT

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||= ||= ||= ||= ||= ||= ||= 35\[[62edo|62]] ||= ||= || 677.419 ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||

|| || || || || || 92\[[163edo|163]] || || || || 677.301 || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone ||

|| || || || || || || || || || 677.2804 || φ φ φ ~~0.5~~ φ φ φ φ ~~0.5~~ || Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||

|| || || || || || || || || || 677.2804 || φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1 || Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||

||= ||= ||= ||= ||= 57\[[101edo|101]] ||= ||= ||= ||= || 677.228 ||< 13 13 13 5 13 13 13 13 5 ||< 13;5 Superdiatonic 1/13-tone ||

||= ||= ||= ||= 22\[[39edo|39]] ||= ||= ||= ||= ||= || 676.923 ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||

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<td style="text-align: left;">4 4 4 1 4 4 4 4 1

</td>

<td style="text-align: left;">generators larger than this are &quot;impractical&quot;

</td>

</tr>

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</td>

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)

generators largerer than this may be considered &quot;impractical&quot;

</td>

</tr>

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<td>677.2804

</td>

<td>φ φ φ ~~0.5~~ φ φ φ φ ~~0.5~~

<td>φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1

</td>

<td>Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)

@@ 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:JosephRuhf|JosephRuhf]] and made on <tt>2012-10-04 18:48:52 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-25 22:15:50 UTC</tt>.<br>
-: The original revision id was <tt>370380708</tt>.<br>
+: The original revision id was <tt>385912630</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 15: / Line 15: @@
 ||= 4\[[7edo|7]] ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   || 685.714 ||&lt; 1 1 1 0 1 1 1 1 0 ||&lt;   ||
 ||=   ||= 21\[[37edo|37]] ||=   ||=   ||=   ||=   ||=   ||=   ||=   || 681.081 ||&lt; 5 5 5 1 5 5 5 5 1 ||&lt;   ||
-||=   ||=   ||= 17\[[30edo|30]] ||=   ||=   ||=   ||=   ||=   ||=   || 680 ||&lt; 4 4 4 1 4 4 4 4 1 ||&lt;   ||
+||=   ||=   ||= 17\[[30edo|30]] ||=   ||=   ||=   ||=   ||=   ||=   || 680 ||&lt; 4 4 4 1 4 4 4 4 1 ||&lt; generators larger than this are "impractical" ||
 ||=   ||=   ||=   ||= 30\[[53edo|53]] ||=   ||=   ||=   ||=   ||=   || 679.245 ||&lt; 7 7 7 2 7 7 7 7 2 ||&lt;   ||
 ||=   ||=   ||=   ||=   ||= 121\[[214edo|214]] ||=   ||=   ||=   ||=   || 678.505 ||&lt; 28 28 28 9 28 28 28 28 9 ||&lt; 28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
 ||=   ||=   ||=   ||= 134\[[237edo|237]] ||=   ||=   ||=   ||=   ||=   || 678.481 ||&lt; 31 31 31 10 31 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size
 of Hornbostel '6th') ||
-||=   ||=   ||= 13\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   || 678.261 ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||
+||=   ||=   ||= 13\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   || 678.261 ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)
+generators largerer than this may be considered "impractical" ||
 ||   ||   ||   || 126\[[223edo|223]] ||   ||   ||   ||   ||   || 678.027 || 29 29 29 10 29 29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
 ||=   ||=   ||=   ||=   ||= 113\[[200edo|200]] ||=   ||=   ||=   ||=   || 678 ||&lt; 26 26 26 9 26 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
@@ Line 36: / Line 37: @@
 ||=   ||=   ||=   ||=   ||=   ||=   ||= 35\[[62edo|62]] ||=   ||=   || 677.419 ||&lt; 8 8 8 3 8 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tone ||
 ||   ||   ||   ||   ||   || 92\[[163edo|163]] ||   ||   ||   || 677.301 || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone ||
-||   ||   ||   ||   ||   ||   ||   ||   ||   || 677.2804 || &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ φ φ 0.5 φ φ φ φ 0.5&lt;/span&gt; || Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
+||   ||   ||   ||   ||   ||   ||   ||   ||   || 677.2804 || &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1&lt;/span&gt; || Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
 ||=   ||=   ||=   ||=   ||= 57\[[101edo|101]] ||=   ||=   ||=   ||=   || 677.228 ||&lt; 13 13 13 5 13 13 13 13 5 ||&lt; 13;5 Superdiatonic 1/13-tone ||
 ||=   ||=   ||=   ||= 22\[[39edo|39]] ||=   ||=   ||=   ||=   ||=   || 676.923 ||&lt; 5 5 5 2 5 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||
@@ Line 174: / Line 175: @@
          &lt;td style="text-align: left;"&gt;4 4 4 1 4 4 4 4 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;generators larger than this are &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 281: @@
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)&lt;br /&gt;
+generators largerer than this may be considered &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 518: / Line 520: @@
          &lt;td&gt;677.2804&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ φ φ 0.5 φ φ φ φ 0.5&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)&lt;br /&gt;