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>2015-02-11 16:15:09 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 16:25:56 UTC</tt>.

: The original revision id was <tt>~~540661612~~</tt>.

: The original revision id was <tt>540663032</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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Optional types of 'JI [[Blown Fifth]]' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169.

||||||~ Generator ||~ **Generator size (cents)** ||~ Pentachord steps ||~ Comments ||

||||||~ Generator ||~ **Generator size (cents)** ||~ Pentachord steps ||~ Comments ||

||< 4\[[7edo|7]] ||< ||< ||< 685.714 ||< 1 1 1 0 ||< ||

||< 21\37 ||< ||< ||< 681.081 ||< 5 5 5 1 ||< ||

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|| || 95\168 || || 678.571 || 22 22 22 7 || ||

|| || 108\191 || || 678.534 || 25 25 25 8 || ||

||< ||< 121\214 ||< ||< 678.505 ||< 28 28 28 9 ||< 28;9 Superdiatonic 1/28-tone

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

(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||

||< ||< 134\237 ||< ||< 678.481 ||< 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size of Hornbostel '6th') ||

||< ||< 134\237 ||< ||< 678.481 ||< 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT

|| || || || 678.3235 || 3.03 3.03 3.03 3.03 1 || L/s = 3*2^(1/75) ||

(1/31-tone; Optimum high size of Hornbostel '6th') ||

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

||< 13\23 ||< ||< ||< 678.261 ||< 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT

|| || || || 678.198 || 2.97 2.97 2.97 2.97 1 || L/s = 3/2^(1/75) ||

~~L/s = 3~~

(Armodue 1/3-tone) ||

||< ||< 126\223 ||< ||< 678.027 ||< 29 29 29 10 ||< HORNBOSTEL TEMPERAMENT

(Armodue 1/29-tone) ||

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

||< ||< 113\200 ||< ||< 678 ||< 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT (Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' & '8') ||

(Armodue 1/26-tone~~;~~

 ||

||< ||< 100\177 ||< ||< 677.966 ||< 23 23 23 8 ||< ||

||< ||< 87\154 ||< ||< 677.922 ||< 20 20 20 7 ||< ||

||< ||< 74\131 ||< ||< 677.863 ||< 17 17 17 6 ||< Armodue-Hornbostel 1/17-tone

||< ||< 74\131 ||< ||< 677.863 ||< 17 17 17 6 ||< Armodue-Hornbostel 1/17-tone (the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments) ||

(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments) ||

||< ||< 61\108 ||< ||< 677.778 ||< 14 14 14 5 ||< Armodue-Hornbostel 1/14-tone ||

||< ||< ||< 109\193 ||< 677.720 ||< 25 25 25 9 ||< Armodue-Hornbostel 1/25-tone ||

||< ||< 48\85 ||< ||< 677.647 ||< 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone

||< ||< 48\85 ||< ||< 677.647 ||< 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi interval, the note '7') ||

(Optimum accuracy of Phi interval, the note '7') ||

||< ||< 35\62 ||< ||< 677.419 ||< 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||

||< ||< 92\163 ||< ||< 677.301 ||< 21 21 21 8 ||< 21;8 Superdiatonic 1/21-tone ||

||< ||< ||< ||< 677.2804 ||< φ+1 φ+1 φ+1 1 ||< Split φ superdiatonic relation

||< ||< ||< ||< 677.2804 ||< 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..) ||

(34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||

||< ||< 57\101 ||< ||< 677.228 ||< 13 13 13 5 ||< 13;5 Superdiatonic 1/13-tone ||

||< 22\39 ||< ||< ||< 676.923 ||< 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone

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

(Optimum low size of Hornbostel '6th') ||

||< ||< 75\133 ||< ||< 676.692 ||< 17 17 17 7 ||< 17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents) ||

||< ||< 75\133 ||< ||< 676.692 ||< 17 17 17 7 ||< 17;7 Superdiatonic 1/17-tone

(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents) ||

||< ||< 53\94 ||< ||< 676.596 ||< 12 12 12 5 ||< ||

||< ||< 31\55 ||< ||< 676.364 ||< 7 7 7 3 ||< 7;3 Superdiatonic 1/7-tone ||

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||< ||< 59\105 ||< ||< 674.286 ||< 13 13 13 7 ||< Armodue-Mávila 1/13-tone ||

||< ||< 50\89 ||< ||< 674.157 ||< 11 11 11 6 ||< Armodue-Mávila 1/11-tone ||

||< ||< 41\73 ||< ||< 673.973 ||< 9 9 9 5 ||< Armodue-Mávila 1/9-tone

||< ||< 41\73 ||< ||< 673.973 ||< 9 9 9 5 ||< Armodue-Mávila 1/9-tone (with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||

(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||

||< ||< 32\57 ||< ||< 673.684 ||< 7 7 7 4 ||< Armodue-Mávila 1/7-tone (the 'Commatic' version of Armodue, because its high accuracy of the [[xenharmonic/7_4|7/4]] interval, the note '8') ||

||< ||< 32\57 ||< ||< 673.684 ||< 7 7 7 4 ||< Armodue-Mávila 1/7-tone

(the 'Commatic' version of Armodue, because its high accuracy of the ~~~~[[xenharmonic/7_4|7/4]]~~~~ interval, the note '8') ||

||< ||< 55\98 ||< ||< 673.469 ||< 12 12 12 7 ||< ||

||< ||< 78\139 ||< ||< 673.381 ||< 17 17 17 10 ||< Armodue-Mávila 1/17-tone ||

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||< ||< 60\107 ||< ||< 672.897 ||< 13 13 13 8 ||< 13;8 Golden Mávila 1/13-tone ||

||< ||< ||< ||< 672.8503 ||< φ φ φ 1 ||< GOLDEN MÁVILA (L/s = φ) ||

||< ||< ||< 97\173 ||< 672.832 ||< 21 21 21 13 ||< 21;13 Golden Mávila 1/21-tone

||< ||< ||< 97\173 ||< 672.832 ||< 21 21 21 13 ||< 21;13 Golden Mávila 1/21-tone (Phi is the step 120\173) ||

(~~ratio between large and small steps is Phi, and~~ Phi is the step 120\173) ||

||< ||< 37\66 ||< ||< 672.727 ||< 8 8 8 5 ||< 8;5 Golden Mávila 1/8-tone ||

||< ||< 51\91 ||< ||< 672.527 ||< 11 11 11 7 ||< 11;7 Superdiatonic 1/11-tone ||

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<th colspan="3">Generator

</th>

<th>Generator size (cents)

<th>Generator size (cents)

</th>

<th>Pentachord steps

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<td style="text-align: left;">28 28 28 9

</td>

<td style="text-align: left;">28;9 Superdiatonic 1/28-tone~~ ~~

<td style="text-align: left;">28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)

(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)

</td>

</tr>

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<td style="text-align: left;">31 31 31 10

</td>

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT~~ ~~

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size of Hornbostel '6th')

(1/31-tone; Optimum high size of Hornbostel '6th')

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>678.3235

</td>

<td>3.03 3.03 3.03 3.03 1

</td>

<td>L/s = 3*2^(1/75)

</td>

</tr>

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<td style="text-align: left;">3 3 3 1

</td>

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT

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

L/~~s = 3~~

</td>

<~~span style="font-size: 12~~.~~8000001907349px~~;">~~(Armodue~~ 1/~~3-tone)~~</~~span~~>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>678.198

</td>

<td>2.97 2.97 2.97 2.97 1

</td>

<td>L/s = 3/2^(1/75)

</td>

</tr>

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<td style="text-align: left;">26 26 26 9

</td>

<td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT~~ ~~

<td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT (Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')

(Armodue 1/26-tone~~; ~~

</td>

</tr>

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<td style="text-align: left;">17 17 17 6

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/17-tone~~ ~~

<td style="text-align: left;">Armodue-Hornbostel 1/17-tone (the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)

(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)

</td>

</tr>

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<td style="text-align: left;">11 11 11 4

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/11-tone~~ ~~

<td style="text-align: left;">Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi interval, the note '7')

(Optimum accuracy of Phi interval, the note '7')

</td>

</tr>

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

</td>

<td style="text-align: left;">Split φ superdiatonic relation~~ ~~

<td style="text-align: left;">Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)

(34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)

</td>

</tr>

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<td style="text-align: left;">5 5 5 2

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/5-tone~~ ~~

<td style="text-align: left;">Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th')

(Optimum low size of Hornbostel '6th')

</td>

</tr>

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<td style="text-align: left;">17 17 17 7

</td>

<td style="text-align: left;">17;7 Superdiatonic 1/17-tone~~ ~~

<td style="text-align: left;">17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)

(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)

</td>

</tr>

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<td style="text-align: left;">9 9 9 5

</td>

<td style="text-align: left;">Armodue-Mávila 1/9-tone~~ ~~

<td style="text-align: left;">Armodue-Mávila 1/9-tone (with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)

(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)

</td>

</tr>

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<td style="text-align: left;">7 7 7 4

</td>

<td style="text-align: left;">Armodue-Mávila 1/7-tone~~ ~~

<td style="text-align: left;">Armodue-Mávila 1/7-tone (the 'Commatic' version of Armodue, because its high accuracy of the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_4">7/4</a> interval, the note '8')

(the 'Commatic' version of Armodue, because its high accuracy of the ~~~~<a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_4">7/4</a> interval, the note '8')

</td>

</tr>

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<td style="text-align: left;">21 21 21 13

</td>

<td style="text-align: left;">21;13 Golden Mávila 1/21-tone~~ ~~

<td style="text-align: left;">21;13 Golden Mávila 1/21-tone (Phi is the step 120\173)

(~~ratio between large and small steps is Phi, and~~ Phi is the step 120\173)

</td>

</tr>

@@ 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>2015-02-11 16:15:09 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 16:25:56 UTC</tt>.<br>
-: The original revision id was <tt>540661612</tt>.<br>
+: The original revision id was <tt>540663032</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 12: / Line 12: @@
 Optional types of 'JI [[Blown Fifth]]' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 &amp; 250/169.
-||||||~ Generator ||~ &lt;span style="text-align: center;"&gt;**Generator size (cents)**&lt;/span&gt; ||~ Pentachord steps ||~ Comments ||
+||||||~ Generator ||~ &lt;span style="display: block; text-align: center;"&gt;**Generator size (cents)**&lt;/span&gt; ||~ Pentachord steps ||~ Comments ||
 ||&lt; 4\[[7edo|7]] ||&lt;   ||&lt;   ||&lt; 685.714 ||&lt; 1 1 1 0 ||&lt;   ||
 ||&lt; 21\37 ||&lt;   ||&lt;   ||&lt; 681.081 ||&lt; 5 5 5 1 ||&lt;   ||
@@ Line 23: / Line 23: @@
 ||   || 95\168 ||   || 678.571 || 22 22 22 7 ||   ||
 ||   || 108\191 ||   || 678.534 || 25 25 25 8 ||   ||
-||&lt;   ||&lt; 121\214 ||&lt;   ||&lt; 678.505 ||&lt; 28 28 28 9 ||&lt; 28;9 Superdiatonic 1/28-tone
+||&lt;   ||&lt; 121\214 ||&lt;   ||&lt; 678.505 ||&lt; 28 28 28 9 ||&lt; 28;9 Superdiatonic 1/28-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt; ||
+||&lt;   ||&lt; 134\237 ||&lt;   ||&lt; 678.481 ||&lt; 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt; ||
-||&lt;   ||&lt; 134\237 ||&lt;   ||&lt; 678.481 ||&lt; 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT
+||   ||   ||   || 678.3235 || 3.03 3.03 3.03 3.03 1 || L/s = 3*2^(1/75) ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt; ||
+||&lt; 13\23 ||&lt;   ||&lt;   ||&lt; 678.261 ||&lt; 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/3-tone)&lt;/span&gt; ||
-||&lt; 13\23 ||&lt;   ||&lt;   ||&lt; 678.261 ||&lt; 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT
+||   ||   ||   || 678.198 || 2.97 2.97 2.97 2.97 1 || L/s = 3/2^(1/75) ||
-L/s = 3
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/3-tone)&lt;/span&gt; ||
 ||&lt;   ||&lt; 126\223 ||&lt;   ||&lt; 678.027 ||&lt; 29 29 29 10 ||&lt; HORNBOSTEL TEMPERAMENT
 &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/29-tone)&lt;/span&gt; ||
-||&lt;   ||&lt; 113\200 ||&lt;   ||&lt; 678 ||&lt; 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
+||&lt;   ||&lt; 113\200 ||&lt;   ||&lt; 678 ||&lt; 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/26-tone;&lt;/span&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')&lt;/span&gt; ||
 ||&lt;   ||&lt; 100\177 ||&lt;   ||&lt; 677.966 ||&lt; 23 23 23 8 ||&lt;   ||
 ||&lt;   ||&lt; 87\154 ||&lt;   ||&lt; 677.922 ||&lt; 20 20 20 7 ||&lt;   ||
-||&lt;   ||&lt; 74\131 ||&lt;   ||&lt; 677.863 ||&lt; 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tone
+||&lt;   ||&lt; 74\131 ||&lt;   ||&lt; 677.863 ||&lt; 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)&lt;/span&gt; ||
 ||&lt;   ||&lt; 61\108 ||&lt;   ||&lt; 677.778 ||&lt; 14 14 14 5 ||&lt; Armodue-Hornbostel 1/14-tone ||
 ||&lt;   ||&lt;   ||&lt; 109\193 ||&lt; 677.720 ||&lt; 25 25 25 9 ||&lt; Armodue-Hornbostel 1/25-tone ||
-||&lt;   ||&lt; 48\85 ||&lt;   ||&lt; 677.647 ||&lt; 11 11 11 4 ||&lt; Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone&lt;/span&gt;
+||&lt;   ||&lt; 48\85 ||&lt;   ||&lt; 677.647 ||&lt; 11 11 11 4 ||&lt; Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt; ||
 ||&lt;   ||&lt; 35\62 ||&lt;   ||&lt; 677.419 ||&lt; 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tone ||
 ||&lt;   ||&lt; 92\163 ||&lt;   ||&lt; 677.301 ||&lt; 21 21 21 8 ||&lt; 21;8 Superdiatonic 1/21-tone ||
-||&lt;   ||&lt;   ||&lt;   ||&lt; 677.2804 ||&lt; &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ+1 φ+1 φ+1 1&lt;/span&gt; ||&lt; Split φ superdiatonic relation
+||&lt;   ||&lt;   ||&lt;   ||&lt; 677.2804 ||&lt; &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ+1 φ+1 φ+1 1&lt;/span&gt; ||&lt; Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
-(34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
 ||&lt;   ||&lt; 57\101 ||&lt;   ||&lt; 677.228 ||&lt; 13 13 13 5 ||&lt; 13;5 Superdiatonic 1/13-tone ||
-||&lt; 22\39 ||&lt;   ||&lt;   ||&lt; 676.923 ||&lt; 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tone
+||&lt; 22\39 ||&lt;   ||&lt;   ||&lt; 676.923 ||&lt; 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum low size of Hornbostel '6th')&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum low size of Hornbostel '6th')&lt;/span&gt; ||
+||&lt;   ||&lt; 75\133 ||&lt;   ||&lt; 676.692 ||&lt; 17 17 17 7 ||&lt; 17;7 Superdiatonic 1/17-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)&lt;/span&gt; ||
-||&lt;   ||&lt; 75\133 ||&lt;   ||&lt; 676.692 ||&lt; 17 17 17 7 ||&lt; 17;7 Superdiatonic 1/17-tone
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)&lt;/span&gt; ||
 ||&lt;   ||&lt; 53\94 ||&lt;   ||&lt; 676.596 ||&lt; 12 12 12 5 ||&lt;   ||
 ||&lt;   ||&lt; 31\55 ||&lt;   ||&lt; 676.364 ||&lt; 7 7 7 3 ||&lt; 7;3 Superdiatonic 1/7-tone ||
@@ Line 60: / Line 51: @@
 ||&lt;   ||&lt; 59\105 ||&lt;   ||&lt; 674.286 ||&lt; 13 13 13 7 ||&lt; Armodue-Mávila 1/13-tone ||
 ||&lt;   ||&lt; 50\89 ||&lt;   ||&lt; 674.157 ||&lt; 11 11 11 6 ||&lt; Armodue-Mávila 1/11-tone ||
-||&lt;   ||&lt; 41\73 ||&lt;   ||&lt; 673.973 ||&lt; 9 9 9 5 ||&lt; Armodue-Mávila 1/9-tone
+||&lt;   ||&lt; 41\73 ||&lt;   ||&lt; 673.973 ||&lt; 9 9 9 5 ||&lt; Armodue-Mávila 1/9-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;/span&gt; ||
+||&lt;   ||&lt; 32\57 ||&lt;   ||&lt; 673.684 ||&lt; 7 7 7 4 ||&lt; Armodue-Mávila 1/7-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(the 'Commatic' version of Armodue, because its high accuracy of the [[xenharmonic/7_4|7/4]] interval, the note '8')&lt;/span&gt; ||
-||&lt;   ||&lt; 32\57 ||&lt;   ||&lt; 673.684 ||&lt; 7 7 7 4 ||&lt; Armodue-Mávila 1/7-tone
-&lt;span style="font-size: 12.8000001907349px;"&gt;(the 'Commatic' version of Armodue, because its high accuracy of the &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;[[xenharmonic/7_4|7/4]]&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt; interval, the note '8')&lt;/span&gt; ||
 ||&lt;   ||&lt; 55\98 ||&lt;   ||&lt; 673.469 ||&lt; 12 12 12 7 ||&lt;   ||
 ||&lt;   ||&lt; 78\139 ||&lt;   ||&lt; 673.381 ||&lt; 17 17 17 10 ||&lt; Armodue-Mávila 1/17-tone ||
@@ Line 70: / Line 59: @@
 ||&lt;   ||&lt; 60\107 ||&lt;   ||&lt; 672.897 ||&lt; 13 13 13 8 ||&lt; 13;8 Golden Mávila 1/13-tone ||
 ||&lt;   ||&lt;   ||&lt;   ||&lt; 672.8503 ||&lt; &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ φ φ 1&lt;/span&gt; ||&lt; GOLDEN MÁVILA (L/s = &lt;span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"&gt;φ)&lt;/span&gt; ||
-||&lt;   ||&lt;   ||&lt; 97\173 ||&lt; 672.832 ||&lt; 21 21 21 13 ||&lt; 21;13 Golden Mávila 1/21-tone
+||&lt;   ||&lt;   ||&lt; 97\173 ||&lt; 672.832 ||&lt; 21 21 21 13 ||&lt; 21;13 Golden Mávila 1/21-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Phi is the step 120\173)&lt;/span&gt; ||
-&lt;span style="font-size: 12.8000001907349px;"&gt;(ratio between large and small steps is Phi, and Phi is the step 120\173)&lt;/span&gt; ||
 ||&lt;   ||&lt; 37\66 ||&lt;   ||&lt; 672.727 ||&lt; 8 8 8 5 ||&lt; 8;5 Golden Mávila 1/8-tone ||
 ||&lt;   ||&lt; 51\91 ||&lt;   ||&lt; 672.527 ||&lt; 11 11 11 7 ||&lt; 11;7 Superdiatonic 1/11-tone ||
@@ Line 107: / Line 95: @@
          &lt;th colspan="3"&gt;Generator&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;&lt;span style="text-align: center;"&gt;&lt;strong&gt;Generator size (cents)&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
+         &lt;th&gt;&lt;span style="display: block; text-align: center;"&gt;&lt;strong&gt;Generator size (cents)&lt;/strong&gt;&lt;/span&gt;&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;Pentachord steps&lt;br /&gt;
@@ Line 265: / Line 253: @@
          &lt;td style="text-align: left;"&gt;28 28 28 9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 267: @@
          &lt;td style="text-align: left;"&gt;31 31 31 10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;678.3235&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;3.03 3.03 3.03 3.03 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;L/s = 3*2^(1/75)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 295: / Line 295: @@
          &lt;td style="text-align: left;"&gt;3 3 3 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/3-tone)&lt;/span&gt;&lt;br /&gt;
-L/s = 3&lt;br /&gt;
+&lt;/td&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/3-tone)&lt;/span&gt;&lt;br /&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;678.198&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;2.97 2.97 2.97 2.97 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;L/s = 3/2^(1/75)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 326: / Line 338: @@
          &lt;td style="text-align: left;"&gt;26 26 26 9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL (&amp;amp; &lt;a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets"&gt;OGOLEVETS&lt;/a&gt;) TEMPERAMENT&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;HORNBOSTEL (&amp;amp; &lt;a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets"&gt;OGOLEVETS&lt;/a&gt;) TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp;amp; '8')&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/26-tone;&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp;amp; '8')&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 370: / Line 380: @@
          &lt;td style="text-align: left;"&gt;17 17 17 6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 413: / Line 422: @@
          &lt;td style="text-align: left;"&gt;11 11 11 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 456: / Line 464: @@
          &lt;td style="text-align: left;"&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&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Split φ superdiatonic relation&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)&lt;br /&gt;
-(34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 485: / Line 492: @@
          &lt;td style="text-align: left;"&gt;5 5 5 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum low size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum low size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 500: / Line 506: @@
          &lt;td style="text-align: left;"&gt;17 17 17 7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;17;7 Superdiatonic 1/17-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;17;7 Superdiatonic 1/17-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 627: / Line 632: @@
          &lt;td style="text-align: left;"&gt;9 9 9 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mávila 1/9-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Mávila 1/9-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 642: / Line 646: @@
          &lt;td style="text-align: left;"&gt;7 7 7 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mávila 1/7-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Mávila 1/7-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(the 'Commatic' version of Armodue, because its high accuracy of the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_4"&gt;7/4&lt;/a&gt; interval, the note '8')&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(the 'Commatic' version of Armodue, because its high accuracy of the &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_4"&gt;7/4&lt;/a&gt;&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt; interval, the note '8')&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 741: / Line 744: @@
          &lt;td style="text-align: left;"&gt;21 21 21 13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;21;13 Golden Mávila 1/21-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;21;13 Golden Mávila 1/21-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Phi is the step 120\173)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="font-size: 12.8000001907349px;"&gt;(ratio between large and small steps is Phi, and Phi is the step 120\173)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;