7L 2s: 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:~~phylingual~~|~~phylingual~~]] and made on <tt>2012-05-29 08:46:55 UTC</tt>.

: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-29 16:50:35 UTC</tt>.

: The original revision id was <tt>~~340448942~~</tt>.

: The original revision id was <tt>340671190</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 18:

||= ||= ||= ||= ||= ||= ||= 13\[[30edo|30]] ||= ||= ||< 4 4 4 1 4 4 4 4 1 ||< ||

||= ||= ||= ||= ||= ||= 23\[[53edo|53]] ||= ||= ||= ||< 7 7 7 2 7 7 7 7 2 ||< ||

||= ||= ||= ||= ||= 156\[[359edo|359]] ||= ||= ||= ||= ||< 47 47 47 15 47 47 47 47 15 ||< 1/47-tone, a very heavy representation of Hornbostel Temperament ||

||= ||= ||= ||= ||= 156\[[359edo|359]] ||= ||= ||= ||= ||< 47 47 47 15 47 47 47 47 15 ||< 47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament ||

||= ||= ||= ||= ||= 93\[[214edo|214]] ||= ||= ||= ||= ||< 28 28 28 9 28 28 28 28 9 ||< 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||

||= ||= ||= ||= ||= 93\[[214edo|214]] ||= ||= ||= ||= ||< 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]] ||= ||= ||= ||= ||= ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-~~tones~~; Optimum high size

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

of Hornbostel '6th') ||

||= ||= ||= 10\[[23edo|23]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-~~tones~~) ||

||= ||= ||= 10\[[23edo|23]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||

|| || || || 97\[[223edo|223]] || || || || || || 29 29 29 10 29

29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||

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

(1/26-~~tones~~; 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; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' & '8') ||

||= ||= ||= ||= ||= ||= ||= ||= 57\[[131edo|131]] ||= ||< 17 17 17 6 17 17 17 17 6 ||< Armodue-Hornbostel 1/17-~~tones~~ (the Golden Tone System of

||= ||= ||= ||= ||= ||= ||= ||= 57\[[131edo|131]] ||= ||< 17 17 17 6 17 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) ||

||= ||= ||= ||= ||= ||= ||= 37\[[85edo|85]] ||= ||= ||< 11 11 11 4 11

11 11 11 4 ||< Armodue-Hornbostel 1/11-~~tones~~ (Optimum accuracy of Phi

11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi

interval, the note '7') ||

||= ||= ||= ||= ||= ||= 27\[[62edo|62]] ||= ||= ||= ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-~~tones~~ ||

||= ||= ||= ||= ||= ||= 27\[[62edo|62]] ||= ||= ||= ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||

||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= ||< 13 13 13 5 13 13 13 13 5 ||< Armodue-Hornbostel 1/13-~~tones~~ ||

||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= ||< 13 13 13 5 13 13 13 13 5 ||< Armodue-Hornbostel 1/13-tone ||

||= ||= ||= ||= 17\[[39edo|39]] ||= ||= ||= ||= ||= ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-~~tones~~ (Optimum low size of Hornbostel '6th') ||

||= ||= ||= ||= 17\[[39edo|39]] ||= ||= ||= ||= ||= ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||

||= ||= ||= ||= ||= 58\[[133edo|133]] ||= ||= ||= ||= ||< 17 17 17 7 17 17 17 17 7 ||< 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||

||= ||= ||= ||= ||= 58\[[133edo|133]] ||= ||= ||= ||= ||< 17 17 17 7 17 17 17 17 7 ||< 17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||

||= ||= ||= ||= ||= ||= 24\[[55edo|55]] ||= ||= ||= ||< 7 7 7 3 7 7 7 7 3 ||< ~~Armodue-"Hornbostel"~~ 1/7-~~tones~~ ||

||= ||= ||= ||= ||= ||= 24\[[55edo|55]] ||= ||= ||= ||< 7 7 7 3 7 7 7 7 3 ||< 7;3 Superdiatonic 1/7-tone ||

||= ||= ||= ||= ||= ||= ||= 31\[[71edo|71]] ||= ||= ||< 9 9 9 4 9 9 9 9 4 ||< ~~UNFAIR Armodue-Hornbostel~~ 1/9-tone ||

||= ||= ||= ||= ||= ||= ||= 31\[[71edo|71]] ||= ||= ||< 9 9 9 4 9 9 9 9 4 ||< 9;4 Superdiatonic 1/9-tone ||

||= ||= ||= ||= ||= ||= ||= ||= ||= 38\[[87edo|87]] ||< 11 11 11 5 11 11 11 11 5 ||< ||

||= ||= 7\[[16edo|16]] ||= ||= ||= ||= ||= ||= ||= ||< 2 2 2 1 2 2 2 2 1 ||< [BOUNDARY OF PROPRIETY: larger generators are strictly proper]ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||

|| || || || || || || || || 46\[[105edo|105]] || 13 13 13 7 13

13 13 13 7 || Armodue-~~Mesotonic~~ 1/13-tone ||

13 13 13 7 || Armodue-Mavila 1/13-tone ||

||= ||= ||= ||= ||= ||= ||= ||= 39\[[89edo|89]] ||= ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-~~Mesotonic~~ 1/11-tone ||

||= ||= ||= ||= ||= ||= ||= ||= 39\[[89edo|89]] ||= ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-Mavila 1/11-tone ||

||= ||= ||= ||= ||= ||= ||= 32\[[73edo|73]] ||= ||= ||< 9 9 9 5 9 9 9 9 5 ||< Armodue-~~Mesotonic~~ 1/9-tone (with an approximation

||= ||= ||= ||= ||= ||= ||= 32\[[73edo|73]] ||= ||= ||< 9 9 9 5 9 9 9 9 5 ||< Armodue-Mavila 1/9-tone (with an approximation

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

||= ||= ||= ||= ||= ||= 25\[[57edo|57]] ||= ||= ||= ||< 7 7 7 4 7 7 7 7 4 ||< Armodue-~~Mesotonic~~ 1/7-tone (the 'Commatic' version of

||= ||= ||= ||= ||= ||= 25\[[57edo|57]] ||= ||= ||= ||< 7 7 7 4 7 7 7 7 4 ||< Armodue-Mavila 1/7-tone (the 'Commatic' version of

Armodue, because its highly accuracy of the [[7_4|7/4]]

interval, the note '8') ||

||= ||= ||= ||= 18\[[41edo|41]] ||= ||= ||= ||= ||= ||< 5 5 5 3 5 5 5 5 3 ||< Armodue-~~Mesotonic~~ 1/5-tone ||

||= ||= ||= ||= 18\[[41edo|41]] ||= ||= ||= ||= ||= ||< 5 5 5 3 5 5 5 5 3 ||< 5;3 Golden Armodue-Mavila 1/5-tone ||

||= ||= ||= ||= ||= ||= ||= 47\107 ||= ||= ||< 13 13 13 8 13 13 13 13 8 ||< 1/13-tone ||

||= ||= ||= ||= ||= ||= ||= 47\[[107edo|107]] ||= ||= ||< 13 13 13 8 13 13 13 13 8 ||< 13;8 Golden Mavila 1/13-tone ||

||= ||= ||= ||= ||= ||= ||= ||= ||= 86\173 ||< 21 21 21 13 21 21 21 21 13 ||< Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||

||= ||= ||= ||= ||= ||= ||= ||= ||= 86\[[173edo|173]] ||< 21 21 21 13 21 21 21 21 13 ||< 21;13 Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||

||= ||= ||= ||= ||= ||= 29\[[66edo|66]] ||= ||= ||= ||< 8 8 8 5 8 8 8 8 5 ||< ||

||= ||= ||= ||= ||= ||= 29\[[66edo|66]] ||= ||= ||= ||< 8 8 8 5 8 8 8 8 5 ||< 8;5 Golden Mavila 1/8-tone ||

||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< ~~MESOTONIC Type of~~ Armodue 1/3-tone~~; Optimum rank range (L/s=3/2)~~ ||

||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone ||

||= ||= ||= ||= ||= ||= 26\[[59edo|59]] ||= ||= ||= ||< 7 7 7 5 7 7 7 7 5 ||< ||

||= ||= ||= ||= 15\[[34edo|34]] ||= ||= ||= ||= ||= ||< 4 4 4 3 4 4 4 4 3 ||< ||

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<td style="text-align: left;">47 47 47 15 47 47 47 47 15

</td>

<td style="text-align: left;">1/47-tone, a very heavy representation of Hornbostel Temperament

<td style="text-align: left;">47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament

</td>

</tr>

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

</td>

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

<td style="text-align: left;">28;9 Superdiatonic 1/28-tone (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 31 31 31 31 10

</td>

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-~~tones~~; Optimum high size

<td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size

of Hornbostel '6th')

</td>

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

</td>

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

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

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>29 29 29 10 29

29 29 29 10

</td>

<td>HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone)

</td>

</tr>

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</td>

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

(1/26-~~tones~~; 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; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')

</td>

</tr>

Line 318:

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

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/17-~~tones~~ (the Golden Tone System of

<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)

Line 345:

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11 11 11 4

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/11-~~tones~~ (Optimum accuracy of Phi

<td style="text-align: left;">Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi

interval, the note '7')

</td>

Line 370:

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<td style="text-align: left;">8 8 8 3 8 8 8 8 3

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/8-~~tones~~

<td style="text-align: left;">Armodue-Hornbostel 1/8-tone

</td>

</tr>

Line 394:

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<td style="text-align: left;">13 13 13 5 13 13 13 13 5

</td>

<td style="text-align: left;">Armodue-Hornbostel 1/13-~~tones~~

<td style="text-align: left;">Armodue-Hornbostel 1/13-tone

</td>

</tr>

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

</td>

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

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

</td>

</tr>

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

</td>

<td style="text-align: left;">1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)

<td style="text-align: left;">17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)

</td>

</tr>

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<td style="text-align: left;">7 7 7 3 7 7 7 7 3

</td>

<td style="text-align: left;">~~Armodue-&quot;Hornbostel&quot~~; 1/7-~~tones~~

<td style="text-align: left;">7;3 Superdiatonic 1/7-tone

</td>

</tr>

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<td style="text-align: left;">9 9 9 4 9 9 9 9 4

</td>

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

<td style="text-align: left;">9;4 Superdiatonic 1/9-tone

</td>

</tr>

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13 13 13 7

</td>

<td>Armodue-~~Mesotonic~~ 1/13-tone

<td>Armodue-Mavila 1/13-tone

</td>

</tr>

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<td style="text-align: left;">11 11 11 6 11 11 11 11 6

</td>

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

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

</td>

</tr>

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

</td>

<td style="text-align: left;">Armodue-~~Mesotonic~~ 1/9-tone (with an approximation

<td style="text-align: left;">Armodue-Mavila 1/9-tone (with an approximation

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

</td>

Line 636:

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

</td>

<td style="text-align: left;">Armodue-~~Mesotonic~~ 1/7-tone (the 'Commatic' version of

<td style="text-align: left;">Armodue-Mavila 1/7-tone (the 'Commatic' version of

Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a>

interval, the note '8')

Line 662:

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<td style="text-align: left;">5 5 5 3 5 5 5 5 3

</td>

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

<td style="text-align: left;">5;3 Golden Armodue-Mavila 1/5-tone

</td>

</tr>

Line 678:

Line 705:

</td>

<td style="text-align: center;">47\107

</td>

Line 686:

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<td style="text-align: left;">13 13 13 8 13 13 13 13 8

</td>

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

<td style="text-align: left;">13;8 Golden Mavila 1/13-tone

</td>

</tr>

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</td>

<td style="text-align: center;">86\173

</td>

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

</td>

<td style="text-align: left;">Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)

<td style="text-align: left;">21;13 Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)

</td>

</tr>

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<td style="text-align: left;">8 8 8 5 8 8 8 8 5

</td>

<td style="text-align: left;">8;5 Golden Mavila 1/8-tone

</td>

</tr>

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<td style="text-align: left;">3 3 3 2 3 3 3 3 2

</td>

<td style="text-align: left;">~~MESOTONIC Type of~~ Armodue 1/3-tone~~; Optimum rank range (L/s=3/2)~~

<td style="text-align: left;">3;2 Golden Armodue-Mavila 1/3-tone

</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:phylingual|phylingual]] and made on <tt>2012-05-29 08:46:55 UTC</tt>.<br>
+: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-29 16:50:35 UTC</tt>.<br>
-: The original revision id was <tt>340448942</tt>.<br>
+: The original revision id was <tt>340671190</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 18: / Line 18: @@
 ||=   ||=   ||=   ||=   ||=   ||=   ||= 13\[[30edo|30]] ||=   ||=   ||&lt; 4 4 4 1 4 4 4 4 1 ||&lt;   ||
 ||=   ||=   ||=   ||=   ||=   ||= 23\[[53edo|53]] ||=   ||=   ||=   ||&lt; 7 7 7 2 7 7 7 7 2 ||&lt;   ||
-||=   ||=   ||=   ||=   ||= 156\[[359edo|359]] ||=   ||=   ||=   ||=   ||&lt; 47 47 47 15 47 47 47 47 15 ||&lt; 1/47-tone, a very heavy representation of Hornbostel Temperament ||
+||=   ||=   ||=   ||=   ||= 156\[[359edo|359]] ||=   ||=   ||=   ||=   ||&lt; 47 47 47 15 47 47 47 47 15 ||&lt; 47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament ||
-||=   ||=   ||=   ||=   ||= 93\[[214edo|214]] ||=   ||=   ||=   ||=   ||&lt; 28 28 28 9 28 28 28 28 9 ||&lt; 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
+||=   ||=   ||=   ||=   ||= 93\[[214edo|214]] ||=   ||=   ||=   ||=   ||&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]] ||=   ||=   ||=   ||=   ||=   ||&lt; 31 31 31 10 31 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size
+||=   ||=   ||=   ||= 134\[[237edo|237]] ||=   ||=   ||=   ||=   ||=   ||&lt; 31 31 31 10 31 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size
 of Hornbostel '6th') ||
-||=   ||=   ||= 10\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones) ||
+||=   ||=   ||= 10\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||
+||   ||   ||   || 97\[[223edo|223]] ||   ||   ||   ||   ||   || 29 29 29 10 29
+29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
 ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 113\[[200edo|200]] ||&lt; 26 26 26 9 26 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
-(1/26-tones; 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; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8') ||
-||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 57\[[131edo|131]] ||=   ||&lt; 17 17 17 6 17 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tones (the Golden Tone System of
+||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 57\[[131edo|131]] ||=   ||&lt; 17 17 17 6 17 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tone (the Golden Tone System of
 Thorvald Kornerup and a temperament of the Alexei
 Ogolevets's list of temperaments) ||
 ||=   ||=   ||=   ||=   ||=   ||=   ||= 37\[[85edo|85]] ||=   ||=   ||&lt; 11 11 11 4 11
-11 11 4 ||&lt; Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi
+11 11 4 ||&lt; Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi
 interval, the note '7') ||
-||=   ||=   ||=   ||=   ||=   ||= 27\[[62edo|62]] ||=   ||=   ||=   ||&lt; 8 8 8 3 8 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tones ||
+||=   ||=   ||=   ||=   ||=   ||= 27\[[62edo|62]] ||=   ||=   ||=   ||&lt; 8 8 8 3 8 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tone ||
-||=   ||=   ||=   ||=   ||= 44\[[101edo|101]] ||=   ||=   ||=   ||=   ||&lt; 13 13 13 5 13 13 13 13 5 ||&lt; Armodue-Hornbostel 1/13-tones ||
+||=   ||=   ||=   ||=   ||= 44\[[101edo|101]] ||=   ||=   ||=   ||=   ||&lt; 13 13 13 5 13 13 13 13 5 ||&lt; Armodue-Hornbostel 1/13-tone ||
-||=   ||=   ||=   ||= 17\[[39edo|39]] ||=   ||=   ||=   ||=   ||=   ||&lt; 5 5 5 2 5 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th') ||
+||=   ||=   ||=   ||= 17\[[39edo|39]] ||=   ||=   ||=   ||=   ||=   ||&lt; 5 5 5 2 5 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||
-||=   ||=   ||=   ||=   ||= 58\[[133edo|133]] ||=   ||=   ||=   ||=   ||&lt; 17 17 17 7 17 17 17 17 7 ||&lt; 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||
+||=   ||=   ||=   ||=   ||= 58\[[133edo|133]] ||=   ||=   ||=   ||=   ||&lt; 17 17 17 7 17 17 17 17 7 ||&lt; 17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||
-||=   ||=   ||=   ||=   ||=   ||= 24\[[55edo|55]] ||=   ||=   ||=   ||&lt; 7 7 7 3 7 7 7 7 3 ||&lt; Armodue-"Hornbostel" 1/7-tones ||
+||=   ||=   ||=   ||=   ||=   ||= 24\[[55edo|55]] ||=   ||=   ||=   ||&lt; 7 7 7 3 7 7 7 7 3 ||&lt; 7;3 Superdiatonic 1/7-tone ||
-||=   ||=   ||=   ||=   ||=   ||=   ||= 31\[[71edo|71]] ||=   ||=   ||&lt; 9 9 9 4 9 9 9 9 4 ||&lt; UNFAIR Armodue-Hornbostel 1/9-tone ||
+||=   ||=   ||=   ||=   ||=   ||=   ||= 31\[[71edo|71]] ||=   ||=   ||&lt; 9 9 9 4 9 9 9 9 4 ||&lt; 9;4 Superdiatonic 1/9-tone ||
 ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 38\[[87edo|87]] ||&lt; 11 11 11 5 11 11 11 11 5 ||&lt;   ||
 ||=   ||= 7\[[16edo|16]] ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 2 2 2 1 2 2 2 2 1 ||&lt; &lt;span style="display: block; text-align: left;"&gt;[BOUNDARY OF PROPRIETY: larger generators are strictly proper]&lt;/span&gt;ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
 ||   ||   ||   ||   ||   ||   ||   ||   || 46\[[105edo|105]] || 13 13 13 7 13
-13 13 7 || Armodue-Mesotonic 1/13-tone ||
+13 13 7 || Armodue-Mavila 1/13-tone ||
-||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 39\[[89edo|89]] ||=   ||&lt; 11 11 11 6 11 11 11 11 6 ||&lt; Armodue-Mesotonic 1/11-tone ||
+||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 39\[[89edo|89]] ||=   ||&lt; 11 11 11 6 11 11 11 11 6 ||&lt; Armodue-Mavila 1/11-tone ||
-||=   ||=   ||=   ||=   ||=   ||=   ||= 32\[[73edo|73]] ||=   ||=   ||&lt; 9 9 9 5 9 9 9 9 5 ||&lt; Armodue-Mesotonic 1/9-tone (with an approximation
+||=   ||=   ||=   ||=   ||=   ||=   ||= 32\[[73edo|73]] ||=   ||=   ||&lt; 9 9 9 5 9 9 9 9 5 ||&lt; Armodue-Mavila 1/9-tone (with an approximation
 of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||
-||=   ||=   ||=   ||=   ||=   ||= 25\[[57edo|57]] ||=   ||=   ||=   ||&lt; 7 7 7 4 7 7 7 7 4 ||&lt; Armodue-Mesotonic 1/7-tone (the 'Commatic' version of
+||=   ||=   ||=   ||=   ||=   ||= 25\[[57edo|57]] ||=   ||=   ||=   ||&lt; 7 7 7 4 7 7 7 7 4 ||&lt; Armodue-Mavila 1/7-tone (the 'Commatic' version of
 Armodue, because its highly accuracy of the [[7_4|7/4]]
 interval, the note '8') ||
-||=   ||=   ||=   ||= 18\[[41edo|41]] ||=   ||=   ||=   ||=   ||=   ||&lt; 5 5 5 3 5 5 5 5 3 ||&lt; Armodue-Mesotonic 1/5-tone ||
+||=   ||=   ||=   ||= 18\[[41edo|41]] ||=   ||=   ||=   ||=   ||=   ||&lt; 5 5 5 3 5 5 5 5 3 ||&lt; 5;3 Golden Armodue-Mavila 1/5-tone ||
-||=   ||=   ||=   ||=   ||=   ||=   ||= 47\107 ||=   ||=   ||&lt; 13 13 13 8 13 13 13 13 8 ||&lt; 1/13-tone ||
+||=   ||=   ||=   ||=   ||=   ||=   ||= 47\[[107edo|107]] ||=   ||=   ||&lt; 13 13 13 8 13 13 13 13 8 ||&lt; 13;8 Golden Mavila 1/13-tone ||
-||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 86\173 ||&lt; 21 21 21 13 21 21 21 21 13 ||&lt; Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||
+||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 86\[[173edo|173]] ||&lt; 21 21 21 13 21 21 21 21 13 ||&lt; 21;13 Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||
-||=   ||=   ||=   ||=   ||=   ||= 29\[[66edo|66]] ||=   ||=   ||=   ||&lt; 8 8 8 5 8 8 8 8 5 ||&lt;   ||
+||=   ||=   ||=   ||=   ||=   ||= 29\[[66edo|66]] ||=   ||=   ||=   ||&lt; 8 8 8 5 8 8 8 8 5 ||&lt; 8;5 Golden Mavila 1/8-tone ||
-||=   ||=   ||= 11\[[25edo|25]] ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 3 3 3 2 3 3 3 3 2 ||&lt; MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2) ||
+||=   ||=   ||= 11\[[25edo|25]] ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 3 3 3 2 3 3 3 3 2 ||&lt; 3;2 Golden Armodue-Mavila 1/3-tone ||
 ||=   ||=   ||=   ||=   ||=   ||= 26\[[59edo|59]] ||=   ||=   ||=   ||&lt; 7 7 7 5 7 7 7 7 5 ||&lt;   ||
 ||=   ||=   ||=   ||= 15\[[34edo|34]] ||=   ||=   ||=   ||=   ||=   ||&lt; 4 4 4 3 4 4 4 4 3 ||&lt;   ||
@@ Line 196: / Line 198: @@
          &lt;td style="text-align: left;"&gt;47 47 47 15 47 47 47 47 15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;1/47-tone, a very heavy representation of Hornbostel Temperament&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 220: / Line 222: @@
          &lt;td style="text-align: left;"&gt;28 28 28 9 28 28 28 28 9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 244: / Line 246: @@
          &lt;td style="text-align: left;"&gt;31 31 31 10 31 31 31 31 10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size&lt;br /&gt;
 of Hornbostel '6th')&lt;br /&gt;
 &lt;/td&gt;
@@ Line 269: / Line 271: @@
          &lt;td style="text-align: left;"&gt;3 3 3 1 3 3 3 3 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones)&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)&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;97\&lt;a class="wiki_link" href="/223edo"&gt;223&lt;/a&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;&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;29 29 29 10 29&lt;br /&gt;
+29 29 10&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 294: / Line 321: @@
 &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;
-(1/26-tones; 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;br /&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;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 318: / Line 345: @@
          &lt;td style="text-align: left;"&gt;17 17 17 6 17 17 17 17 6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tones (the Golden Tone System of&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tone (the Golden Tone System of&lt;br /&gt;
 Thorvald Kornerup and a temperament of the Alexei&lt;br /&gt;
 Ogolevets's list of temperaments)&lt;br /&gt;
@@ Line 345: / Line 372: @@
 11 11 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi&lt;br /&gt;
 interval, the note '7')&lt;br /&gt;
 &lt;/td&gt;
@@ Line 370: / Line 397: @@
          &lt;td style="text-align: left;"&gt;8 8 8 3 8 8 8 8 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/8-tones&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/8-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 394: / Line 421: @@
          &lt;td style="text-align: left;"&gt;13 13 13 5 13 13 13 13 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/13-tones&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/13-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 418: / Line 445: @@
          &lt;td style="text-align: left;"&gt;5 5 5 2 5 5 5 5 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th')&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th')&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 442: / Line 469: @@
          &lt;td style="text-align: left;"&gt;17 17 17 7 17 17 17 17 7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 466: / Line 493: @@
          &lt;td style="text-align: left;"&gt;7 7 7 3 7 7 7 7 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-&amp;quot;Hornbostel&amp;quot; 1/7-tones&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;7;3 Superdiatonic 1/7-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 490: / Line 517: @@
          &lt;td style="text-align: left;"&gt;9 9 9 4 9 9 9 9 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;UNFAIR Armodue-Hornbostel 1/9-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;9;4 Superdiatonic 1/9-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 563: / Line 590: @@
 13 13 7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Armodue-Mesotonic 1/13-tone&lt;br /&gt;
+         &lt;td&gt;Armodue-Mavila 1/13-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 587: / Line 614: @@
          &lt;td style="text-align: left;"&gt;11 11 11 6 11 11 11 11 6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/11-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/11-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 611: / Line 638: @@
          &lt;td style="text-align: left;"&gt;9 9 9 5 9 9 9 9 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/9-tone (with an approximation&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/9-tone (with an approximation&lt;br /&gt;
 of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;br /&gt;
 &lt;/td&gt;
@@ Line 636: / Line 663: @@
          &lt;td style="text-align: left;"&gt;7 7 7 4 7 7 7 7 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/7-tone (the 'Commatic' version of&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/7-tone (the 'Commatic' version of&lt;br /&gt;
 Armodue, because its highly accuracy of the &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
 interval, the note '8')&lt;br /&gt;
@@ Line 662: / Line 689: @@
          &lt;td style="text-align: left;"&gt;5 5 5 3 5 5 5 5 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/5-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;5;3 Golden Armodue-Mavila 1/5-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 678: / Line 705: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;47\107&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;47\&lt;a class="wiki_link" href="/107edo"&gt;107&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 686: / Line 713: @@
          &lt;td style="text-align: left;"&gt;13 13 13 8 13 13 13 13 8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;1/13-tone&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;13;8 Golden Mavila 1/13-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 706: / Line 733: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;86\173&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;86\&lt;a class="wiki_link" href="/173edo"&gt;173&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;21 21 21 13 21 21 21 21 13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;21;13 Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 734: / Line 761: @@
          &lt;td style="text-align: left;"&gt;8 8 8 5 8 8 8 8 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;8;5 Golden Mavila 1/8-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 758: / Line 785: @@
          &lt;td style="text-align: left;"&gt;3 3 3 2 3 3 3 3 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2)&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;3;2 Golden Armodue-Mavila 1/3-tone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;