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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Periods = 1 |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-10 16:38:26 UTC</tt>.<br>
| | | nLargeSteps = 1 |
| : The original revision id was <tt>540513134</tt>.<br>
| | | nSmallSteps = 4 |
| : The revision comment was: <tt></tt><br>
| | | Equalized = 4 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Collapsed = 1 |
| <h4>Original Wikitext content:</h4>
| | | Pattern = Lssss |
| <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;white-space: pre-wrap ! important" class="old-revision-html">The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[gamelismic clan|slendric or gamelismic]], in which the generator is 8/7 and three of them make a 3/2. Other scales include very [[Rothenberg propriety|improper]] (incomplete) versions of [[porcupine family|porcupine]], [[marvel temperaments|negri]], etc.
| | | Name = pedal |
| ||||||||||||||||~ Generator ||~ Generator (s) ||~ L-s ||~ |L-2s| ||~ Comments ||
| | }} |
| || 0\1 || || || || || || || ||= || || ||= || | |
| || || || || || || 1\10 || || ||= 120 || 600 || 480 ||= ||
| |
| || || || || || || || 2\19 || ||= 126.32 || 568.42 || 442.11 ||= Negri is around here || | |
| || || || || || 1\9 || || || ||= 133.33 || 533.33 || 400 ||= ||
| |
| || || || || 1\8 || || || || ||= 150 || 450 || 300 ||= L/s = 4 || | |
| || || || || || 2\15 || || || ||= 160 || 400 || 240 ||= ||
| |
| || || || || || || 3\22 || || ||= 163.64 || 381.82 || 218.18 ||= Porcupine is around here ||
| |
| || || || || || || || || ||= 1200/(4+3*2^(1\75)) || 346.25 || 175.505 || || | |
| || || || 1\7 || || || || || ||= 171.43 || 342.86 || 171.43 ||= L/s = 3 || | |
| || || || || || || || || ||= <span style="display: block; text-align: center;">1200/(4+3/2^(1\75))</span> || 339.46 || 167.36 || ||
| |
| || || 1\6 || || || || || || ||= 200 || 200 || 0 ||= Boundary of propriety (generators
| |
| larger than this are strictly proper) ||
| |
| || || || || 3\17 || || || || ||= 211.76 || 141.18 || 70.59 ||= ||
| |
| || || || || || || 8\45 || || ||= 213.33 || 133.33 || 80 ||= ||
| |
| || || || || || || || || ||= 1200/(4+phi) || 132.01 || 81.59 ||= Golden machine ||
| |
| || || || || || || || 13\73 || ||= 213.70 || 131.51 || 82.19 ||= ||
| |
| || || || || || 5\28 || || || ||= 214.29 || 128.57 || 85.71 ||= || | |
| || || || 2\11 || || || || || ||= 218.18 || 109.09 || 109.09 ||= Optimum rank range (L/s=3/2) machine || | |
| || || || || 3\16 || || || || ||= 225 || 75 || 150 ||= Gorgo is around here ||
| |
| || || || || || 4\21 || || || ||= 228.57 || 57.14 || 171.43 ||= ||
| |
| || || || || || || 5\26 || || ||= 230.77 || 46.15 || 184.62 ||= ||
| |
| || || || || || || || 6\31 || ||= 232.26 || 38.71 || 193.55 ||= ||
| |
| || || || || || || || || 7\36 ||= 233.33 || 33.33 || 200 ||= Slendric is around here ||
| |
| || 1\5 || || || || || || || ||= 240 || 0 || 240 ||= ||</pre></div>
| |
| <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>1L 4s</title></head><body>The only notable low-harmonic-entropy scale for this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/gamelismic%20clan">slendric or gamelismic</a>, in which the generator is 8/7 and three of them make a 3/2. Other scales include very <a class="wiki_link" href="/Rothenberg%20propriety">improper</a> (incomplete) versions of <a class="wiki_link" href="/porcupine%20family">porcupine</a>, <a class="wiki_link" href="/marvel%20temperaments">negri</a>, etc.<br />
| |
|
| |
|
| | {{MOS intro}} |
|
| |
|
| <table class="wiki_table">
| | The only notable low-[[harmonic entropy|harmonic-entropy]] scale for this [[MOS]] pattern is [[Gamelismic clan|slendric or gamelismic]], in which the [[generator]] is [[8/7]] and three of them make a [[3/2]]. Other scales include very [[improper]] (incomplete) versions of [[Porcupine family|porcupine]], [[Marvel temperaments #Negri|negri]], etc. |
| <tr>
| |
| <th colspan="8">Generator<br />
| |
| </th>
| |
| <th>Generator (s)<br />
| |
| </th>
| |
| <th>L-s<br />
| |
| </th>
| |
| <th>|L-2s|<br />
| |
| </th>
| |
| <th>Comments<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>0\1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>1\10<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">120<br />
| |
| </td>
| |
| <td>600<br />
| |
| </td>
| |
| <td>480<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">126.32<br />
| |
| </td>
| |
| <td>568.42<br />
| |
| </td>
| |
| <td>442.11<br />
| |
| </td>
| |
| <td style="text-align: center;">Negri is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1\9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">133.33<br />
| |
| </td>
| |
| <td>533.33<br />
| |
| </td>
| |
| <td>400<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1\8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">150<br />
| |
| </td>
| |
| <td>450<br />
| |
| </td>
| |
| <td>300<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = 4<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\15<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">160<br />
| |
| </td>
| |
| <td>400<br />
| |
| </td>
| |
| <td>240<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\22<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">163.64<br />
| |
| </td>
| |
| <td>381.82<br />
| |
| </td>
| |
| <td>218.18<br />
| |
| </td>
| |
| <td style="text-align: center;">Porcupine is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">1200/(4+3*2^(1\75))<br />
| |
| </td>
| |
| <td>346.25<br />
| |
| </td>
| |
| <td>175.505<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1\7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">171.43<br />
| |
| </td>
| |
| <td>342.86<br />
| |
| </td>
| |
| <td>171.43<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = 3<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;">1200/(4+3/2^(1\75))</span><br />
| |
| </td>
| |
| <td>339.46<br />
| |
| </td>
| |
| <td>167.36<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
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| <td>1\6<br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">200<br />
| |
| </td>
| |
| <td>200<br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| <td style="text-align: center;">Boundary of propriety (generators<br />
| |
| larger than this are strictly proper)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td>3\17<br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td style="text-align: center;">211.76<br />
| |
| </td>
| |
| <td>141.18<br />
| |
| </td>
| |
| <td>70.59<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>8\45<br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">213.33<br />
| |
| </td>
| |
| <td>133.33<br />
| |
| </td>
| |
| <td>80<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td style="text-align: center;">1200/(4+phi)<br />
| |
| </td>
| |
| <td>132.01<br />
| |
| </td>
| |
| <td>81.59<br />
| |
| </td>
| |
| <td style="text-align: center;">Golden machine<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>13\73<br />
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| </td>
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| <td><br />
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| </td>
| |
| <td style="text-align: center;">213.70<br />
| |
| </td>
| |
| <td>131.51<br />
| |
| </td>
| |
| <td>82.19<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td>5\28<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td style="text-align: center;">214.29<br />
| |
| </td>
| |
| <td>128.57<br />
| |
| </td>
| |
| <td>85.71<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td>2\11<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">218.18<br />
| |
| </td>
| |
| <td>109.09<br />
| |
| </td>
| |
| <td>109.09<br />
| |
| </td>
| |
| <td style="text-align: center;">Optimum rank range (L/s=3/2) machine<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td>3\16<br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">225<br />
| |
| </td>
| |
| <td>75<br />
| |
| </td>
| |
| <td>150<br />
| |
| </td>
| |
| <td style="text-align: center;">Gorgo is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4\21<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">228.57<br />
| |
| </td>
| |
| <td>57.14<br />
| |
| </td>
| |
| <td>171.43<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\26<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">230.77<br />
| |
| </td>
| |
| <td>46.15<br />
| |
| </td>
| |
| <td>184.62<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>6\31<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">232.26<br />
| |
| </td>
| |
| <td>38.71<br />
| |
| </td>
| |
| <td>193.55<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7\36<br />
| |
| </td>
| |
| <td style="text-align: center;">233.33<br />
| |
| </td>
| |
| <td>33.33<br />
| |
| </td>
| |
| <td>200<br />
| |
| </td>
| |
| <td style="text-align: center;">Slendric is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">240<br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| <td>240<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | == Modes == |
| | {{MOS modes}} |
| | |
| | === Degrees === |
| | {{MOS mode degrees}} |
| | |
| | == Intervals == |
| | {{MOS intervals}} |
| | |
| | == Scale tree == |
| | Generator ranges: |
| | * Chroma-positive generator: 960 cents (4\5) to 1200 cents (1\1) |
| | * Chroma-negative generator: 0 cents (0\1) to 240 cents (1\5) |
| | |
| | {| class="wikitable center-all" |
| | ! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span> |
| | ! Cents |
| | ! L |
| | ! s |
| | ! L/s |
| | ! Comments |
| | |- |
| | | 1\5 || || || || || || 240.000 || 1 || 1 || 1.000 || |
| | |- |
| | | || || || || || 5\26 || 230.769 || 6 || 5 || 1.200 || |
| | |- |
| | | || || || || 4\21 || || 228.571 || 5 || 4 || 1.250 || [[Laconic]]/[[gorgo]] |
| | |- |
| | | || || || || || 7\37 || 227.027 || 9 || 7 || 1.286 || [[Semaja]] |
| | |- |
| | | || || || 3\16 || || || 225.000 || 4 || 3 || 1.333 || |
| | |- |
| | | || || || || || 8\43 || 223.256 || 11 || 8 || 1.375 || |
| | |- |
| | | || || || || 5\27 || || 222.222 || 7 || 5 || 1.400 || |
| | |- |
| | | || || || || || 7\38 || 221.053 || 10 || 7 || 1.429 || |
| | |- |
| | | || || 2\11 || || || || 218.182 || 3 || 2 || 1.500 || |
| | |- |
| | | || || || || || 7\39 || 215.385 || 11 || 7 || 1.571 || |
| | |- |
| | | || || || || 5\28 || || 214.286 || 8 || 5 || 1.600 || |
| | |- |
| | | || || || || || 8\45 || 213.333 || 13 || 8 || 1.625 || Golden [[machine]] (213.5979¢) |
| | |- |
| | | || || || 3\17 || || || 211.765 || 5 || 3 || 1.667 || |
| | |- |
| | | || || || || || 7\40 || 210.000 || 12 || 7 || 1.714 || |
| | |- |
| | | || || || || 4\23 || || 208.696 || 7 || 4 || 1.750 || |
| | |- |
| | | || || || || || 5\29 || 206.897 || 9 || 5 || 1.800 || |
| | |- |
| | | || 1\6 || || || || || 200.000 || 2 || 1 || 2.000 || Basic 1L 4s <br>(small steps larger than this are proper) |
| | |- |
| | | || || || || || 4\25 || 192.000 || 9 || 4 || 2.250 || [[Luna]]/[[hemithirds]], [[Isra]]/[[leantone]] |
| | |- |
| | | || || || || 3\19 || || 189.474 || 7 || 3 || 2.333 || [[Spell]] |
| | |- |
| | | || || || || || 5\32 || 187.500 || 12 || 5 || 2.400 || |
| | |- |
| | | || || || 2\13 || || || 184.615 || 5 || 2 || 2.500 || |
| | |- |
| | | || || || || || 5\33 || 181.818 || 13 || 5 || 2.600 || Wilson Golden 2 (181.3227¢) |
| | |- |
| | | || || || || 3\20 || || 180.000 || 8 || 3 || 2.667 || |
| | |- |
| | | || || || || || 4\27 || 177.778 || 11 || 4 || 2.750 || |
| | |- |
| | | || || 1\7 || || || || 171.429 || 3 || 1 || 3.000 || |
| | |- |
| | | || || || || || 3\22 || 163.636 || 10 || 3 || 3.333 || [[Porcupine]] |
| | |- |
| | | || || || || 2\15 || || 160.000 || 7 || 2 || 3.500 || |
| | |- |
| | | || || || || || 3\23 || 156.522 || 11 || 3 || 3.667 || |
| | |- |
| | | || || || 1\8 || || || 150.000 || 4 || 1 || 4.000 || |
| | |- |
| | | || || || || || 2\17 || 141.176 || 9 || 2 || 4.500 || [[Bleu]]/[[jerome]] |
| | |- |
| | | || || || || 1\9 || || 133.333 || 5 || 1 || 5.000 || |
| | |- |
| | | || || || || || 1\10 || 120.000 || 6 || 1 || 6.000 || [[Negri]] |
| | |- |
| | | 0\1 || || || || || || 0.000 || 1 || 0 || → inf || |
| | |} |
| | |
| | [[Category:5-tone scales]] |