2L 5s: Difference between revisions

Revision as of 11:45, 4 November 2015

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Original Wikitext content:

2L 5s refers to a Moment of Symmetry scale with two large steps and five small steps. Common names for such a tuning are mavila and anti-diatonic. The generator is a sharp fourth (or flat fifth), falling between 3\7 (3 degrees of [[7edo]]) and 1\2 (1 degree of [[2edo]] — the half-octave tritone that appears in every even-numbered edo).

The word "mavila" is used in different ways by different folks. Not every user of the word would consider every 2L 5s scale an instance of "mavila." In particular, between 13\29 and 14\31, and centered on 9\20, is the albitonic scale for the 2.7.11.13 subgroup temperament [[Chromatic pairs#Score|score]], which is not intended to be treated as having any kind of fifth, flat or otherwise.

In terms of harmonic entropy, the most significant minimum is at [[Meantone family|Liese]]/Triton, in which the generator is about 7/5 and three of them make a 3/1.
||||||||||||||~ generator in degrees of an [[edo]] ||~ generator in cents ||~ tetrachord ||~ L in cents ||~ s in cents ||~ L to s ratio ||~ comments ||
||= 3\7 ||=   ||=   ||=   ||=   ||   ||   ||= 514.3 ||= 1 1 1 ||= 171.4 ||= 171.4 ||= 1.00 ||=   ||
||=   ||=   ||=   ||=   ||= 13\30 ||   ||   ||= 520.0 ||= 4 4 5 ||= 200.0 ||= 160.0 ||= 1.25 ||= Mavila extends from here... ||
||=   ||=   ||=   ||= 10\23 ||=   ||   ||   ||= 521.7 ||= 3 3 4 ||= 208.7 ||= 156.5 ||= 1.33 ||=   ||
||=   ||=   ||=   ||=   ||= 17\39 ||   ||   ||= 523.1 ||= 5 5 7 ||= 215.4 ||= 153.8 ||= 1.40 ||=   ||
||=   ||=   ||= 7\16 ||=   ||=   ||   ||   ||= 525.0 ||= 2 2 3 ||= 225.0 ||= 150.0 ||= 1.50 ||= Mavila in Armodue
Optimum rank range (L/s=3/2) ||
||   ||   ||   ||   ||   ||   ||   ||= 526.3 ||= <span style="display: block; text-align: center;">2 2 pi</span> ||= 231.5 ||= 147.4 ||= <span style="display: block; text-align: center;">pi/2</span> ||   ||
||=   ||=   ||=   ||=   ||= 18\41 ||   ||   ||= 526.8 ||= 5 5 8 ||= 234.1 ||= 146.3 ||= 1.60 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||= 1200*5/(13-phi) ||= 1 1 phi ||= 235.7 ||= 145.7 ||= phi ||= Golden mavila ||
||   ||   ||   ||   ||   || 29\66 ||   ||= 527.3 ||= 8 8 13 ||= 236.4 ||= 145.5 ||= 1.625 ||=   ||
||=   ||=   ||=   ||= 11\25 ||=   ||   ||   ||= 528.0 ||= 3 3 5 ||= 240.0 ||= 144.0 ||= 1.67 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||= 529.1 ||= <span style="background-color: #ffffff;"><span style="line-height: 1.5;">1 1 </span>√3 </span> ||= 245.6 ||= 141.8 ||= <span style="background-color: #ffffff; display: block; text-align: center;">√3</span> ||   ||
||=   ||=   ||=   ||=   ||= 15\34 ||   ||   ||= 529.4 ||= 4 4 7 ||= 247.1 ||= 141.2 ||= 1.75 ||= ...to somewhere around here ||
||=   ||= 4\9 ||=   ||=   ||=   ||   ||   ||= 533.3 ||= 1 1 2 ||= 266.7 ||= 133.3 ||= 2.00 ||= Boundary of propriety (generators
smaller than this are proper) ||
||=   ||=   ||=   ||=   ||= 13\29 ||   ||   ||= 537.9 ||= 3 3 7 ||= 289.7 ||= 124.1 ||= 2.33 ||=   ||
||=   ||=   ||=   ||= 9\20 ||=   ||   ||   ||= 540.0 ||= 2 2 5 ||= 300.0 ||= 120.0 ||= 2.50 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||= 541.4 ||= <span style="display: block; text-align: center;">1 1 phi+1</span> ||= 306.9 ||= 117.2 ||= <span style="display: block; text-align: center;">1 1 phi+1</span> ||   ||
||=   ||=   ||=   ||=   ||= 14\31 ||   ||   ||= 541.9 ||= 3 3 8 ||= 309.7 ||= 116.1 ||= 2.66 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||= 542<span style="line-height: 1.5;">.5</span> ||= 1 1 e ||= 321.55 ||= 115.0 ||= e ||= L/s = e ||
||=   ||=   ||= 5\11 ||=   ||=   ||   ||   ||= 545.5 ||= 1 1 3 ||= 327.3 ||= 109.1 ||= 3.00 ||= L/s = 3 ||
||   ||   ||   ||   ||   ||   ||   ||= 546.8 ||= 1 1 pi ||= 334.1 ||= 106.35 ||= pi ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
||=   ||=   ||=   ||=   ||= 11\24 ||   ||   ||= 550.0 ||= 2 2 7 ||= 350.0 ||= 100.0 ||= 3.50 ||=   ||
||=   ||=   ||=   ||= 6\13 ||=   ||   ||   ||= 553.8 ||= 1 1 4 ||= 369.2 ||= 92.3 ||= 4.00 ||= Thuja is optimal around here
L/s = 4 ||
||=   ||=   ||=   ||=   ||= 7\15 ||   ||   ||= 560.0 ||= 1 1 5 ||= 400.0 ||= 80.0 ||= 5.00 ||= ie. (11/8)^5 = 5/1 ||
||=   ||=   ||=   ||=   ||=   ||= 8\17 ||=   ||= 564.7 ||= 1 1 6 ||= 423.5 ||= 70.6 ||= 6.00 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 9\19 ||= 568.4 ||= 1 1 7 ||= 442.1 ||= 63.2 ||= 7.00 ||= Liese/Triton is around here ||
||= 1\2 ||=   ||=   ||=   ||=   ||   ||   ||= 600.0 ||= 0 0 1 ||= 600.0 ||= 0 ||= — ||=   ||

Original HTML content:

<html><head><title>2L 5s</title></head><body>2L 5s refers to a Moment of Symmetry scale with two large steps and five small steps. Common names for such a tuning are mavila and anti-diatonic. The generator is a sharp fourth (or flat fifth), falling between 3\7 (3 degrees of <a class="wiki_link" href="/7edo">7edo</a>) and 1\2 (1 degree of <a class="wiki_link" href="/2edo">2edo</a> — the half-octave tritone that appears in every even-numbered edo).<br />
<br />
The word &quot;mavila&quot; is used in different ways by different folks. Not every user of the word would consider every 2L 5s scale an instance of &quot;mavila.&quot; In particular, between 13\29 and 14\31, and centered on 9\20, is the albitonic scale for the 2.7.11.13 subgroup temperament <a class="wiki_link" href="/Chromatic%20pairs#Score">score</a>, which is not intended to be treated as having any kind of fifth, flat or otherwise.<br />
<br />
In terms of harmonic entropy, the most significant minimum is at <a class="wiki_link" href="/Meantone%20family">Liese</a>/Triton, in which the generator is about 7/5 and three of them make a 3/1.<br />


<table class="wiki_table">
    <tr>
        <th colspan="7">generator in degrees of an <a class="wiki_link" href="/edo">edo</a><br />
</th>
        <th>generator in cents<br />
</th>
        <th>tetrachord<br />
</th>
        <th>L in cents<br />
</th>
        <th>s in cents<br />
</th>
        <th>L to s ratio<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">3\7<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><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">514.3<br />
</td>
        <td style="text-align: center;">1 1 1<br />
</td>
        <td style="text-align: center;">171.4<br />
</td>
        <td style="text-align: center;">171.4<br />
</td>
        <td style="text-align: center;">1.00<br />
</td>
        <td style="text-align: center;"><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;">13\30<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">520.0<br />
</td>
        <td style="text-align: center;">4 4 5<br />
</td>
        <td style="text-align: center;">200.0<br />
</td>
        <td style="text-align: center;">160.0<br />
</td>
        <td style="text-align: center;">1.25<br />
</td>
        <td style="text-align: center;">Mavila extends from here...<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;">10\23<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">521.7<br />
</td>
        <td style="text-align: center;">3 3 4<br />
</td>
        <td style="text-align: center;">208.7<br />
</td>
        <td style="text-align: center;">156.5<br />
</td>
        <td style="text-align: center;">1.33<br />
</td>
        <td style="text-align: center;"><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;">17\39<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">523.1<br />
</td>
        <td style="text-align: center;">5 5 7<br />
</td>
        <td style="text-align: center;">215.4<br />
</td>
        <td style="text-align: center;">153.8<br />
</td>
        <td style="text-align: center;">1.40<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7\16<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">525.0<br />
</td>
        <td style="text-align: center;">2 2 3<br />
</td>
        <td style="text-align: center;">225.0<br />
</td>
        <td style="text-align: center;">150.0<br />
</td>
        <td style="text-align: center;">1.50<br />
</td>
        <td style="text-align: center;">Mavila in Armodue<br />
Optimum rank range (L/s=3/2)<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 style="text-align: center;">526.3<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">2 2 pi</span><br />
</td>
        <td style="text-align: center;">231.5<br />
</td>
        <td style="text-align: center;">147.4<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">pi/2</span><br />
</td>
        <td><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;">18\41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">526.8<br />
</td>
        <td style="text-align: center;">5 5 8<br />
</td>
        <td style="text-align: center;">234.1<br />
</td>
        <td style="text-align: center;">146.3<br />
</td>
        <td style="text-align: center;">1.60<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 style="text-align: center;">1200*5/(13-phi)<br />
</td>
        <td style="text-align: center;">1 1 phi<br />
</td>
        <td style="text-align: center;">235.7<br />
</td>
        <td style="text-align: center;">145.7<br />
</td>
        <td style="text-align: center;">phi<br />
</td>
        <td style="text-align: center;">Golden mavila<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>29\66<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">527.3<br />
</td>
        <td style="text-align: center;">8 8 13<br />
</td>
        <td style="text-align: center;">236.4<br />
</td>
        <td style="text-align: center;">145.5<br />
</td>
        <td style="text-align: center;">1.625<br />
</td>
        <td style="text-align: center;"><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;">11\25<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">528.0<br />
</td>
        <td style="text-align: center;">3 3 5<br />
</td>
        <td style="text-align: center;">240.0<br />
</td>
        <td style="text-align: center;">144.0<br />
</td>
        <td style="text-align: center;">1.67<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 style="text-align: center;">529.1<br />
</td>
        <td style="text-align: center;"><span style="background-color: #ffffff;"><span style="line-height: 1.5;">1 1 </span>√3 </span><br />
</td>
        <td style="text-align: center;">245.6<br />
</td>
        <td style="text-align: center;">141.8<br />
</td>
        <td style="text-align: center;"><span style="background-color: #ffffff; display: block; text-align: center;">√3</span><br />
</td>
        <td><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;">15\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">529.4<br />
</td>
        <td style="text-align: center;">4 4 7<br />
</td>
        <td style="text-align: center;">247.1<br />
</td>
        <td style="text-align: center;">141.2<br />
</td>
        <td style="text-align: center;">1.75<br />
</td>
        <td style="text-align: center;">...to somewhere around here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">4\9<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">533.3<br />
</td>
        <td style="text-align: center;">1 1 2<br />
</td>
        <td style="text-align: center;">266.7<br />
</td>
        <td style="text-align: center;">133.3<br />
</td>
        <td style="text-align: center;">2.00<br />
</td>
        <td style="text-align: center;">Boundary of propriety (generators<br />
smaller than this are proper)<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;">13\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">537.9<br />
</td>
        <td style="text-align: center;">3 3 7<br />
</td>
        <td style="text-align: center;">289.7<br />
</td>
        <td style="text-align: center;">124.1<br />
</td>
        <td style="text-align: center;">2.33<br />
</td>
        <td style="text-align: center;"><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;">9\20<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">540.0<br />
</td>
        <td style="text-align: center;">2 2 5<br />
</td>
        <td style="text-align: center;">300.0<br />
</td>
        <td style="text-align: center;">120.0<br />
</td>
        <td style="text-align: center;">2.50<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 style="text-align: center;">541.4<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 1 phi+1</span><br />
</td>
        <td style="text-align: center;">306.9<br />
</td>
        <td style="text-align: center;">117.2<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 1 phi+1</span><br />
</td>
        <td><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;">14\31<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">541.9<br />
</td>
        <td style="text-align: center;">3 3 8<br />
</td>
        <td style="text-align: center;">309.7<br />
</td>
        <td style="text-align: center;">116.1<br />
</td>
        <td style="text-align: center;">2.66<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 style="text-align: center;">542<span style="line-height: 1.5;">.5</span><br />
</td>
        <td style="text-align: center;">1 1 e<br />
</td>
        <td style="text-align: center;">321.55<br />
</td>
        <td style="text-align: center;">115.0<br />
</td>
        <td style="text-align: center;">e<br />
</td>
        <td style="text-align: center;">L/s = e<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">5\11<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">545.5<br />
</td>
        <td style="text-align: center;">1 1 3<br />
</td>
        <td style="text-align: center;">327.3<br />
</td>
        <td style="text-align: center;">109.1<br />
</td>
        <td style="text-align: center;">3.00<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 style="text-align: center;">546.8<br />
</td>
        <td style="text-align: center;">1 1 pi<br />
</td>
        <td style="text-align: center;">334.1<br />
</td>
        <td style="text-align: center;">106.35<br />
</td>
        <td style="text-align: center;">pi<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><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;">11\24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">550.0<br />
</td>
        <td style="text-align: center;">2 2 7<br />
</td>
        <td style="text-align: center;">350.0<br />
</td>
        <td style="text-align: center;">100.0<br />
</td>
        <td style="text-align: center;">3.50<br />
</td>
        <td style="text-align: center;"><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;">6\13<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">553.8<br />
</td>
        <td style="text-align: center;">1 1 4<br />
</td>
        <td style="text-align: center;">369.2<br />
</td>
        <td style="text-align: center;">92.3<br />
</td>
        <td style="text-align: center;">4.00<br />
</td>
        <td style="text-align: center;">Thuja is optimal around here<br />
L/s = 4<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;">7\15<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">560.0<br />
</td>
        <td style="text-align: center;">1 1 5<br />
</td>
        <td style="text-align: center;">400.0<br />
</td>
        <td style="text-align: center;">80.0<br />
</td>
        <td style="text-align: center;">5.00<br />
</td>
        <td style="text-align: center;">ie. (11/8)^5 = 5/1<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;">8\17<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">564.7<br />
</td>
        <td style="text-align: center;">1 1 6<br />
</td>
        <td style="text-align: center;">423.5<br />
</td>
        <td style="text-align: center;">70.6<br />
</td>
        <td style="text-align: center;">6.00<br />
</td>
        <td style="text-align: center;"><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;"><br />
</td>
        <td style="text-align: center;">9\19<br />
</td>
        <td style="text-align: center;">568.4<br />
</td>
        <td style="text-align: center;">1 1 7<br />
</td>
        <td style="text-align: center;">442.1<br />
</td>
        <td style="text-align: center;">63.2<br />
</td>
        <td style="text-align: center;">7.00<br />
</td>
        <td style="text-align: center;">Liese/Triton is around here<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1\2<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><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">600.0<br />
</td>
        <td style="text-align: center;">0 0 1<br />
</td>
        <td style="text-align: center;">600.0<br />
</td>
        <td style="text-align: center;">0<br />
</td>
        <td style="text-align: center;">—<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>2015-05-22 13:44:42 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 11:45:52 UTC</tt>.<br>
-: The original revision id was <tt>551908100</tt>.<br>
+: The original revision id was <tt>565154563</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 18: / Line 18: @@
 ||=   ||=   ||= 7\16 ||=   ||=   ||   ||   ||= 525.0 ||= 2 2 3 ||= 225.0 ||= 150.0 ||= 1.50 ||= Mavila in Armodue
 Optimum rank range (L/s=3/2) ||
+||   ||   ||   ||   ||   ||   ||   ||= 526.3 ||= &lt;span style="display: block; text-align: center;"&gt;2 2 pi&lt;/span&gt; ||= 231.5 ||= 147.4 ||= &lt;span style="display: block; text-align: center;"&gt;pi/2&lt;/span&gt; ||   ||
 ||=   ||=   ||=   ||=   ||= 18\41 ||   ||   ||= 526.8 ||= 5 5 8 ||= 234.1 ||= 146.3 ||= 1.60 ||=   ||
 ||   ||   ||   ||   ||   ||   ||   ||= 1200*5/(13-phi) ||= 1 1 phi ||= 235.7 ||= 145.7 ||= phi ||= Golden mavila ||
-||   ||   ||   ||   ||   || 29\66 ||   ||= 527.3 ||= 8 8 13 ||= 236.4 ||= 145.5 ||= 1.62 ||=   ||
+||   ||   ||   ||   ||   || 29\66 ||   ||= 527.3 ||= 8 8 13 ||= 236.4 ||= 145.5 ||= 1.625 ||=   ||
 ||=   ||=   ||=   ||= 11\25 ||=   ||   ||   ||= 528.0 ||= 3 3 5 ||= 240.0 ||= 144.0 ||= 1.67 ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||= 529.1 ||= &lt;span style="background-color: #ffffff;"&gt;&lt;span style="line-height: 1.5;"&gt;1 1 &lt;/span&gt;√3 &lt;/span&gt; ||= 245.6 ||= 141.8 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;√3&lt;/span&gt; ||   ||
 ||=   ||=   ||=   ||=   ||= 15\34 ||   ||   ||= 529.4 ||= 4 4 7 ||= 247.1 ||= 141.2 ||= 1.75 ||= ...to somewhere around here ||
 ||=   ||= 4\9 ||=   ||=   ||=   ||   ||   ||= 533.3 ||= 1 1 2 ||= 266.7 ||= 133.3 ||= 2.00 ||= Boundary of propriety (generators
@@ Line 27: / Line 29: @@
 ||=   ||=   ||=   ||=   ||= 13\29 ||   ||   ||= 537.9 ||= 3 3 7 ||= 289.7 ||= 124.1 ||= 2.33 ||=   ||
 ||=   ||=   ||=   ||= 9\20 ||=   ||   ||   ||= 540.0 ||= 2 2 5 ||= 300.0 ||= 120.0 ||= 2.50 ||=   ||
+||   ||   ||   ||   ||   ||   ||   ||= 541.4 ||= &lt;span style="display: block; text-align: center;"&gt;1 1 phi+1&lt;/span&gt; ||= 306.9 ||= 117.2 ||= &lt;span style="display: block; text-align: center;"&gt;1 1 phi+1&lt;/span&gt; ||   ||
 ||=   ||=   ||=   ||=   ||= 14\31 ||   ||   ||= 541.9 ||= 3 3 8 ||= 309.7 ||= 116.1 ||= 2.66 ||=   ||
 ||   ||   ||   ||   ||   ||   ||   ||= 542&lt;span style="line-height: 1.5;"&gt;.5&lt;/span&gt; ||= 1 1 e ||= 321.55 ||= 115.0 ||= e ||= L/s = e ||
@@ Line 202: / Line 205: @@
          &lt;td style="text-align: center;"&gt;Mavila in Armodue&lt;br /&gt;
 Optimum rank range (L/s=3/2)&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;526.3&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;2 2 pi&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;231.5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;147.4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;pi/2&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 283: / Line 314: @@
          &lt;td style="text-align: center;"&gt;145.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1.62&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1.625&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 314: / Line 345: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;529.1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;span style="line-height: 1.5;"&gt;1 1 &lt;/span&gt;√3 &lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;245.6&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;141.8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;√3&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 427: / Line 486: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;541.4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;1 1 phi+1&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;306.9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;117.2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;1 1 phi+1&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

2L 5s: Difference between revisions

Revision as of 11:45, 4 November 2015

IMPORTED REVISION FROM WIKISPACES

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