1L 5s: Difference between revisions

Revision as of 13:12, 22 May 2015

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2015-05-22 13:12:19 UTC.

The original revision id was 551904440.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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.
||||||||||||||~ 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 ||=   ||
||   ||   ||   ||   || 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 ||
||   ||   ||   ||   || 4\27 ||   ||   || 177.78 ||=   ||
||   ||   ||   || 3\20 ||   ||   ||   || 180 ||=   ||
||   ||   ||   ||   ||   || 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 ||=   ||
||   ||   || 2\13 ||   ||   ||   ||   || 184.62 ||= Optimum rank range glacial (L/s=3/2) ||
||   ||   ||   || 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 ||=   ||

Original HTML content:

<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 />
<br />
Other scales include very improper (incomplete) versions of porcupine, negri, etc.<br />


<table class="wiki_table">
    <tr>
        <th colspan="7">Generator<br />
</th>
        <th>Cents<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 />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>133.33<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><br />
</td>
        <td><br />
</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>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>
        <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>
        <td><br />
</td>
        <td>5\33<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>181.82<br />
</td>
        <td style="text-align: center;"><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>
        <td>3\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <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>
        <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>
        <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>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\37<br />
</td>
        <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>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>200<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-10 22:26:58 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-22 13:12:19 UTC</tt>.<br>
-: The original revision id was <tt>540546388</tt>.<br>
+: The original revision id was <tt>551904440</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 12: / Line 12: @@
 || 0\1 ||   ||   ||   ||   ||   ||   || 0 ||=   ||
 ||   ||   ||   || 1\9 ||   ||   ||   || 133.33 ||= L/s = 4 ||
-||   ||   ||   ||   ||   ||   ||   || 1200/(5+3*2^(1/75)) ||&lt; &lt;span style="display: block; text-align: center;"&gt;
+||   ||   ||   ||   ||   ||   ||   || 1200/(5+pi) ||&lt; &lt;span style="display: block; text-align: center;"&gt;
 &lt;/span&gt; ||
 ||   ||   || 1\8 ||   ||   ||   ||   || 150 ||= L/s = 3 ||
-||   ||   ||   ||   ||   ||   ||   || 1200/(5+3/2^(1/75)) ||   ||
+||   ||   ||   ||   ||   ||   ||   || 1200/(5+e) ||   ||
 ||   ||   ||   || 2\15 ||   ||   ||   || 160 ||=   ||
 ||   ||   ||   ||   || 3\22 ||   ||   || 163.64 ||= Porcupine is around here ||
@@ Line 102: / Line 102: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200/(5+3*2^(1/75))&lt;br /&gt;
+         &lt;td&gt;1200/(5+pi)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;&lt;span style="display: block; text-align: center;"&gt;&lt;br /&gt;
@@ Line 143: / Line 143: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200/(5+3/2^(1/75))&lt;br /&gt;
+         &lt;td&gt;1200/(5+e)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;

1L 5s: Difference between revisions

Revision as of 13:12, 22 May 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search