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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | There are two notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot_family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6|roulette6]], the six note haplitonic scale for the roulette [[Chromatic_pair|Chromatic pair]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-03 12:11:37 UTC</tt>.<br>
| |
| : The original revision id was <tt>564958211</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>
| |
| <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">There are two notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]].
| |
|
| |
|
| Other scales include very improper (incomplete) versions of porcupine, negri, etc. | | Other scales include very improper (incomplete) versions of porcupine, negri, etc. |
| ||||||||||||||~ Generator ||~ Cents ||~ Comments ||
| |
| || 0\1 || || || || || || || 0 ||= ||
| |
| || || || || 1\9 || || || || 133.33 ||= L/s = 4 ||
| |
| || || || || || || || || 1200/(5+pi) ||< <span style="display: block; text-align: center;">
| |
| </span> ||
| |
| || || || 1\8 || || || || || 150 ||= L/s = 3 ||
| |
| || || || || || || || || 1200/(5+e) || ||
| |
| || || || || 2\15 || || || || 160 ||= ||
| |
| || || || || || || || || 1200/(6+phi) || ||
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| || || || || || 3\22 || || || 163.64 ||= Porcupine is around here ||
| |
| || || 1\7 || || || || || || 171.43 ||= Boundary of propriety
| |
| (generators larger than this are proper) ||
| |
| || || || || || || 5\34 || || 176.47 ||= Tetracot is around here ||
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| || || || || || 4\27 || || || 177.78 ||= ||
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| || || || || 3\20 || || || || 180 ||= ||
| |
| || || || || || || || || 1200/(5+sqrt(3)) || ||
| |
| || || || || || || 8\53 || || 181.13 ||= ||
| |
| || || || || || || || || 1200/(5+phi) ||= Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) ||
| |
| || || || || || 5\33 || || || 181.82 ||= ||
| |
| || || || || || || || || 1200/(10+pi) || ||
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| || || || 2\13 || || || || || 184.62 ||= Optimum rank range glacial (L/s=3/2) ||
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| || || || || 3\19 || || || || 189.47 ||= ||
| |
| || || || || || 4\25 || || || 192 ||= ||
| |
| || || || || || || 5\31 || || 193.55 ||= ||
| |
| || || || || || || || 6\37 || 194.59 ||= Luna/Hemithird/Roulette is around here: [[roulette6]] ||
| |
| || 1\6 || || || || || || || 200 ||= ||</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 5s</title></head><body>There are two notable low-harmonic-entropy scales with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments &quot;luna&quot;, &quot;hemithird&quot;, and &quot;hemiwürschmidt&quot; all have 6-note MOSes that are very similar. But perhaps it is best known as <a class="wiki_link" href="/roulette6">roulette6</a>, the six note haplitonic scale for the roulette <a class="wiki_link" href="/Chromatic%20pair">Chromatic pair</a>.<br />
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| <br />
| |
| Other scales include very improper (incomplete) versions of porcupine, negri, etc.<br />
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|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! colspan="7" | Generator |
| | ! | Cents |
| | ! | Comments |
| | |- |
| | | | 0\1 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 0 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 1\9 |
| | | | |
| | | | |
| | | | |
| | | | 133.33 |
| | | style="text-align:center;" | L/s = 4 |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(5+pi) |
| | | | <span style="display: block; text-align: center;"> |
|
| |
|
| <table class="wiki_table">
| | </span> |
| <tr>
| | |- |
| <th colspan="7">Generator<br />
| | | | |
| </th>
| | | | |
| <th>Cents<br />
| | | | 1\8 |
| </th>
| | | | |
| <th>Comments<br />
| | | | |
| </th>
| | | | |
| </tr>
| | | | |
| <tr>
| | | | 150 |
| <td>0\1<br />
| | | style="text-align:center;" | L/s = 3 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 1200/(5+e) |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>0<br />
| | | | |
| </td>
| | | | 2\15 |
| <td style="text-align: center;"><br />
| | | | |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | | | 160 |
| <td><br />
| | | style="text-align:center;" | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>1\9<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 1200/(6+phi) |
| <td><br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>133.33<br />
| | | | |
| </td>
| | | | |
| <td style="text-align: center;">L/s = 4<br />
| | | | 3\22 |
| </td>
| | | | |
| </tr>
| | | | |
| <tr>
| | | | 163.64 |
| <td><br />
| | | style="text-align:center;" | Porcupine is around here |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | 1\7 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 171.43 |
| <td><br />
| | | style="text-align:center;" | Boundary of propriety |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1200/(5+pi)<br />
| |
| </td>
| |
| <td style="text-align: left;"><span style="display: block; text-align: center;"><br />
| |
| </span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1\8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>150<br />
| |
| </td>
| |
| <td style="text-align: center;">L/s = 3<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>1200/(5+e)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\15<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>160<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>1200/(6+phi)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\22<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>163.64<br />
| |
| </td>
| |
| <td style="text-align: center;">Porcupine is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>1\7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>171.43<br />
| |
| </td>
| |
| <td style="text-align: center;">Boundary of propriety<br />
| |
| (generators larger than this are proper)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5\34<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>176.47<br />
| |
| </td>
| |
| <td style="text-align: center;">Tetracot is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4\27<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>177.78<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3\20<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>180<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><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 />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1200/(5+sqrt(3))<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8\53<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>181.13<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>1200/(5+phi)<br />
| |
| </td>
| |
| <td style="text-align: center;">Unnamed golden temperament (discussed in <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow">this thread</a>)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td>5\33<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>181.82<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>1200/(10+pi)<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>2\13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>184.62<br />
| |
| </td>
| |
| <td style="text-align: center;">Optimum rank range glacial (L/s=3/2)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>3\19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>189.47<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>4\25<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>192<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td>5\31<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>193.55<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td>6\37<br />
| |
| </td>
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| <td>194.59<br />
| |
| </td>
| |
| <td style="text-align: center;">Luna/Hemithird/Roulette is around here: <a class="wiki_link" href="/roulette6">roulette6</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\6<br />
| |
| </td>
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| <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 />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td>200<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | (generators larger than this are proper) |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 5\34 |
| | | | |
| | | | 176.47 |
| | | style="text-align:center;" | Tetracot is around here |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 4\27 |
| | | | |
| | | | |
| | | | 177.78 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 3\20 |
| | | | |
| | | | |
| | | | |
| | | | 180 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(5+sqrt(3)) |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 8\53 |
| | | | |
| | | | 181.13 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(5+phi) |
| | | style="text-align:center;" | Unnamed golden temperament (discussed in [http://launch.groups.yahoo.com/group/tuning/message/100254 this thread]) |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 5\33 |
| | | | |
| | | | |
| | | | 181.82 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 1200/(10+pi) |
| | | | |
| | |- |
| | | | |
| | | | |
| | | | 2\13 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 184.62 |
| | | style="text-align:center;" | Optimum rank range glacial (L/s=3/2) |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | 3\19 |
| | | | |
| | | | |
| | | | |
| | | | 189.47 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 4\25 |
| | | | |
| | | | |
| | | | 192 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 5\31 |
| | | | |
| | | | 193.55 |
| | | style="text-align:center;" | |
| | |- |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 6\37 |
| | | | 194.59 |
| | | style="text-align:center;" | Luna/Hemithird/Roulette is around here: [[roulette6|roulette6]] |
| | |- |
| | | | 1\6 |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | |
| | | | 200 |
| | | style="text-align:center;" | |
| | |} |
| | [[Category:mos]] |