7L 2s: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 256371432 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 263908241 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011- | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-10-12 03:46:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>263908241</tt>.<br> | ||
: The revision comment was: <tt></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> | 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: | ||
These scales are strongly associated with the [[Armodue]] project/system. | These scales are strongly associated with the [[Armodue]] project/system. | ||
Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 145/98, 176/119 & 250/169. | Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169. | ||
||||||||||||||~ Generator ||~ Scale steps ||~ Comments || | ||~ ||~ ||||||||||||||~ Generator ||~ Scale steps ||~ Comments || | ||
|| 3\[[7edo|7]] || || || || || || || 1 1 1 0 1 1 1 1 0 || || | ||= 3\[[7edo|7]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 0 1 1 1 1 0 ||< || | ||
|| || || || || 16\37 || || || 5 5 5 1 5 5 5 5 1 || || | ||= ||= ||= ||= ||= ||= 16\37 ||= ||= ||= ||< 5 5 5 1 5 5 5 5 1 ||< || | ||
|| || || || || || 13\[[30edo|30]] || || 4 4 4 1 4 4 4 4 1 || || | ||= ||= ||= ||= ||= ||= ||= 13\[[30edo|30]] ||= ||= ||< 4 4 4 1 4 4 4 4 1 ||< || | ||
|| || || || || 23\[[53edo|53]] || || || 7 7 7 2 7 7 7 7 2 || || | ||= ||= ||= ||= ||= ||= 23\[[53edo|53]] ||= ||= ||= ||< 7 7 7 2 7 7 7 7 2 ||< || | ||
|| || || || 134\[[237edo|237]] || || || || 31 31 31 10 31 | ||= ||= ||= ||= ||= 156\[[359edo|359]] ||= ||= ||= ||= ||< 47 47 47 15 47 47 47 47 15 ||< 1/47-tone, a very heavy representation of Hornbostel Temperament || | ||
31 31 31 10 || HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size | ||= ||= ||= ||= ||= 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) || | ||
||= ||= ||= ||= 134\[[237edo|237]] ||= ||= ||= ||= ||= ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size | |||
of Hornbostel '6th') || | 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-tones) || | ||
|| || || || || || || | ||= ||= ||= ||= ||= ||= ||= ||= ||= 113\[[200edo|200]] ||< 26 26 26 9 26 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT | ||
26 26 26 9 || HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT (1/26-tones; Best | (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') || | ||
equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), | ||= ||= ||= ||= ||= ||= ||= ||= 57\[[131edo|131]] ||= ||< 17 17 17 6 17 17 17 17 6 ||< Armodue-Hornbostel 1/17-tones (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 | ||
|| | interval, the note '7') || | ||
|| || || | ||= ||= ||= ||= ||= ||= 27\[[62edo|62]] ||= ||= ||= ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tones || | ||
|| || || || || | ||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= ||< 13 13 13 5 13 13 13 13 5 ||< Armodue-Hornbostel 1/13-tones || | ||
|| || || || || || | ||= ||= ||= ||= 17\[[39edo|39]] ||= ||= ||= ||= ||= ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tones (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) || | |||
|| || | ||= ||= ||= ||= ||= ||= 24\[[55edo|55]] ||= ||= ||= ||< 7 7 7 3 7 7 7 7 3 ||< Armodue-"Hornbostel" 1/7-tones || | ||
|| || || || || || | ||= ||= ||= ||= ||= ||= ||= 31\[[71edo|71]] ||= ||= ||< 9 9 9 4 9 9 9 9 4 ||< UNFAIR Armodue-Hornbostel 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 ||< ARMODUE ESADECAFONIA (or Goldsmith Temperament) || | ||
|| || || || || || || || || 46\[[105edo|105]] || 13 13 13 7 13 | |||
|| || || | 13 13 13 7 || Armodue-Mesotonic 1/13-tone || | ||
||= ||= ||= ||= ||= ||= ||= ||= 39\[[89edo|89]] ||= ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-Mesotonic 1/11-tone || | |||
|| || | ||= ||= ||= ||= ||= ||= ||= 32\[[73edo|73]] ||= ||= ||< 9 9 9 5 9 9 9 9 5 ||< Armodue-Mesotonic 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 | |||
|| || || || || || || | 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 || | ||
|| || | ||= ||= ||= ||= ||= ||= ||= 47\107 ||= ||= ||< 13 13 13 8 13 13 13 13 8 ||< 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) || | ||
|| || | ||= ||= ||= ||= ||= ||= 29\[[66edo|66]] ||= ||= ||= ||< 8 8 8 5 8 8 8 8 5 ||< || | ||
|| | ||= ||= ||= 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) || | ||
||= ||= ||= ||= ||= ||= 26\[[59edo|59]] ||= ||= ||= ||< 7 7 7 5 7 7 7 7 5 ||< || | |||
||= ||= ||= ||= 15\[[34edo|34]] ||= ||= ||= ||= ||= ||< 4 4 4 3 4 4 4 4 3 ||< || | |||
||= ||= ||= ||= ||= ||= 19\[[43edo|43]] ||= ||= ||= ||< 5 5 5 4 5 5 5 5 4 ||< || | |||
||= 4\[[9edo|9]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 1 1 1 1 1 1 ||< ||</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7L 2s</title></head><body>This page is about <a class="wiki_link" href="/MOSScales">MOSScales</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7L 2s</title></head><body>This page is about <a class="wiki_link" href="/MOSScales">MOSScales</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br /> | ||
| Line 59: | Line 63: | ||
These scales are strongly associated with the <a class="wiki_link" href="/Armodue">Armodue</a> project/system.<br /> | These scales are strongly associated with the <a class="wiki_link" href="/Armodue">Armodue</a> project/system.<br /> | ||
<br /> | <br /> | ||
Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 145/98, 176/119 &amp; 250/169.<br /> | Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 &amp; 250/169.<br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | |||
<th colspan="7">Generator<br /> | <th colspan="7">Generator<br /> | ||
</th> | </th> | ||
| Line 72: | Line 80: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3\<a class="wiki_link" href="/7edo">7</a><br /> | <td style="text-align: center;">3\<a class="wiki_link" href="/7edo">7</a><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">1 1 1 0 1 1 1 1 0<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">16\37<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">5 5 5 1 5 5 5 5 1<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">13\<a class="wiki_link" href="/30edo">30</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>1 1 | <td style="text-align: left;">4 4 4 1 4 4 4 4 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">23\<a class="wiki_link" href="/53edo">53</a><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">7 7 7 2 7 7 7 7 2<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">156\<a class="wiki_link" href="/359edo">359</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">47 47 47 15 47 47 47 47 15<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;">1/47-tone, a very heavy representation of Hornbostel Temperament<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">93\<a class="wiki_link" href="/214edo">214</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">28 28 28 9 28 28 28 28 9<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;">1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">134\<a class="wiki_link" href="/237edo">237</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>31 31 31 10 31 | <td style="text-align: left;">31 31 31 10 31 31 31 31 10<br /> | ||
31 31 31 10<br /> | |||
</td> | </td> | ||
<td>HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size<br /> | <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size<br /> | ||
of Hornbostel '6th')<br /> | of Hornbostel '6th')<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">10\<a class="wiki_link" href="/23edo">23</a><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">3 3 3 1 3 3 3 3 1<br /> | |||
</td> | |||
<td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones)<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">113\<a class="wiki_link" href="/200edo">200</a><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">26 26 26 9 26 26 26 26 9<br /> | ||
</td> | </td> | ||
<td>HORNBOSTEL TEMPERAMENT ( | <td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT <br /> | ||
(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')<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">57\<a class="wiki_link" href="/131edo">131</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: left;">17 17 17 6 17 17 17 17 6<br /> | ||
</td> | </td> | ||
<td | <td style="text-align: left;">Armodue-Hornbostel 1/17-tones (the Golden Tone System of<br /> | ||
Thorvald Kornerup and a temperament of the Alexei<br /> | |||
Ogolevets's list of temperaments)<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">37\<a class="wiki_link" href="/85edo">85</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>11 11 11 4 11<br /> | <td style="text-align: left;">11 11 11 4 11<br /> | ||
11 11 11 4<br /> | 11 11 11 4<br /> | ||
</td> | </td> | ||
<td>Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi interval, the note '7')<br /> | <td style="text-align: left;">Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi<br /> | ||
interval, the note '7')<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">27\<a class="wiki_link" href="/62edo">62</a><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">8 8 8 3 8 8 8 8 3<br /> | |||
</td> | |||
<td style="text-align: left;">Armodue-Hornbostel 1/8-tones<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">44\<a class="wiki_link" href="/101edo">101</a><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">13 13 13 5 13 13 13 13 5<br /> | |||
</td> | |||
<td style="text-align: left;">Armodue-Hornbostel 1/13-tones<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">17\<a class="wiki_link" href="/39edo">39</a><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: left;">5 5 5 2 5 5 5 5 2<br /> | |||
</td> | |||
<td style="text-align: left;">Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th')<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">58\<a class="wiki_link" href="/133edo">133</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">17 17 17 7 17 17 17 17 7<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">24\<a class="wiki_link" href="/55edo">55</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">7 7 7 3 7 7 7 7 3<br /> | ||
</td> | </td> | ||
<td>Armodue-Hornbostel 1/ | <td style="text-align: left;">Armodue-&quot;Hornbostel&quot; 1/7-tones<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;">31\<a class="wiki_link" href="/71edo">71</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">9 9 9 4 9 9 9 9 4<br /> | ||
</td> | </td> | ||
<td>Armodue- | <td style="text-align: left;">UNFAIR Armodue-Hornbostel 1/9-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">38\<a class="wiki_link" href="/87edo">87</a><br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;">11 11 11 5 11 11 11 11 5<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;">7\<a class="wiki_link" href="/16edo">16</a><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: left;">2 2 2 1 2 2 2 2 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;">ARMODUE ESADECAFONIA (or Goldsmith Temperament)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 341: | Line 544: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 353: | Line 556: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>46\<a class="wiki_link" href="/105edo">105</a><br /> | ||
</td> | |||
<td>13 13 13 7 13<br /> | |||
13 13 13 7<br /> | |||
</td> | |||
<td>Armodue-Mesotonic 1/13-tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">39\<a class="wiki_link" href="/89edo">89</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>11 11 11 6 11 | <td style="text-align: left;">11 11 11 6 11 11 11 11 6<br /> | ||
11 11 11 6<br /> | |||
</td> | </td> | ||
<td>Armodue-Mesotonic 1/11-tone<br /> | <td style="text-align: left;">Armodue-Mesotonic 1/11-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">32\<a class="wiki_link" href="/73edo">73</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>9 9 9 5 9 9 9 9 5<br /> | <td style="text-align: left;">9 9 9 5 9 9 9 9 5<br /> | ||
</td> | </td> | ||
<td>Armodue-Mesotonic 1/9-tone (with an approximation<br /> | <td style="text-align: left;">Armodue-Mesotonic 1/9-tone (with an approximation<br /> | ||
of the Perfect Fifth + 1/5 Pyth.Comma [706 | of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">25\<a class="wiki_link" href="/57edo">57</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>7 7 7 4 7 7 7 7 4<br /> | <td style="text-align: left;">7 7 7 4 7 7 7 7 4<br /> | ||
</td> | </td> | ||
<td>Armodue-Mesotonic 1/7-tone (the 'Commatic' version of | <td style="text-align: left;">Armodue-Mesotonic 1/7-tone (the 'Commatic' version of<br /> | ||
highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a> interval, the note '8')<br /> | Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a><br /> | ||
interval, the note '8')<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">18\<a class="wiki_link" href="/41edo">41</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>5 5 5 3 5 5 5 5 3<br /> | <td style="text-align: left;">5 5 5 3 5 5 5 5 3<br /> | ||
</td> | </td> | ||
<td>Armodue-Mesotonic 1/5-tone<br /> | <td style="text-align: left;">Armodue-Mesotonic 1/5-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">47\107<br /> | ||
</td> | </td> | ||
<td> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>13 13 13 8 13 | <td style="text-align: left;">13 13 13 8 13 13 13 13 8<br /> | ||
13 13 13 8<br /> | |||
</td> | </td> | ||
<td>1/13-tone<br /> | <td style="text-align: left;">1/13-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>86\173<br /> | <td style="text-align: center;">86\173<br /> | ||
</td> | </td> | ||
<td>21 21 21 13 21 | <td style="text-align: left;">21 21 21 13 21 21 21 21 13<br /> | ||
21 21 21 13<br /> | |||
</td> | </td> | ||
<td>Golden Mavila 1/21-tone (ratio between large and small steps is Phi)<br /> | <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)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">29\<a class="wiki_link" href="/66edo">66</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>8 8 8 5 8 8 8 8 5<br /> | <td style="text-align: left;">8 8 8 5 8 8 8 8 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;">11\<a class="wiki_link" href="/25edo">25</a><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>3 3 3 2 3 3 3 3 2<br /> | <td style="text-align: left;">3 3 3 2 3 3 3 3 2<br /> | ||
</td> | </td> | ||
<td>MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2)<br /> | <td style="text-align: left;">MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">26\<a class="wiki_link" href="/59edo">59</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>7 7 7 5 7 7 7 7 5<br /> | <td style="text-align: left;">7 7 7 5 7 7 7 7 5<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">15\<a class="wiki_link" href="/34edo">34</a><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>4 4 4 3 4 4 4 4 3<br /> | <td style="text-align: left;">4 4 4 3 4 4 4 4 3<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">19\<a class="wiki_link" href="/43edo">43</a><br /> | ||
</td> | </td> | ||
<td | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>5 5 5 4 5 5 5 5 4<br /> | <td style="text-align: left;">5 5 5 4 5 5 5 5 4<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4\<a class="wiki_link" href="/9edo">9</a><br /> | <td style="text-align: center;">4\<a class="wiki_link" href="/9edo">9</a><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td>1 1 1 1 1 1 1 1 1<br /> | <td style="text-align: left;">1 1 1 1 1 1 1 1 1<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||