7L 5s: Difference between revisions

Revision as of 17:50, 10 November 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 2015-11-10 17:50:24 UTC.

The original revision id was 565970535.

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:

This is the MOS pattern of the [[Meantone family|meantone]] chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, "diatonic" semitones (~16/15), such as appear in the [[5L 2s|diatonic scale]], for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches.

The meantone chromatic scale is [[Rothenberg propriety|proper]].
||||||||||||~ Generator ||~ in cents ||~ Comments ||
||= 3\7 ||=   ||=   ||=   ||=   ||=   ||< 514.286 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 20\47 ||< 510.638 ||=   ||
||=   ||=   ||=   ||=   ||= 17\40 ||=   ||< 510 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 31\73 ||< 509.589 ||=   ||
||=   ||=   ||=   ||= 14\33 ||=   ||=   ||< 509.091 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 39\92 ||< 508.696 ||=   ||
||=   ||=   ||=   ||=   ||= 25\59 ||=   ||< 508.475 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 36\85 ||< 508.235 ||=   ||
||   ||   ||   ||   ||   ||   || 507.934 ||   ||
||=   ||=   ||= 11\26 ||=   ||=   ||=   ||< 507.692 ||=   ||
||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">41\97</span> || 507.216 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||< 507.151 ||= <span style="display: block; text-align: center;">Flattone</span> ||
||=   ||=   ||=   ||=   ||= 30\71 ||=   ||< 507.042 ||=   ||
||   ||   ||   ||   ||   ||   || 506.9365 ||   ||
||=   ||=   ||=   ||=   ||=   ||= 49\116 ||< 506.897 ||= Flattone ||
||=   ||=   ||=   ||= 19\45 ||=   ||=   ||< 506.667 ||= Flattone ||
||=   ||=   ||=   ||=   ||=   ||= 46\109 ||< 506.422 ||= Flattone ||
||=   ||=   ||=   ||=   ||= 27\64 ||=   ||< 506.25 ||= Flattone ||
||=   ||=   ||=   ||=   ||=   ||= 35\83 ||< 506.024 ||=   ||
||=   ||= 8\19 ||=   ||=   ||=   ||=   ||< 505.263 ||= Boundary of propriety: generators smaller than this are proper.
Meanenneadecal ||
||=   ||=   ||=   ||=   ||=   ||= 37\88 ||< 504.5455 ||= LucyTuning ||
||=   ||=   ||=   ||=   ||= 29\69 ||=   ||< 504.348 ||=   ||
||   ||   ||   ||   ||   ||   || 504.275 ||   ||
||=   ||=   ||=   ||=   ||=   ||= 50\119 ||< 504.202 ||=   ||
||=   ||=   ||=   ||= 21\50 ||=   ||=   ||< 504 ||= Meantone/Meanpop ||
||=   ||=   ||=   ||=   ||=   ||= 55\131 ||< 503.817 ||= Golden meantone ||
||   ||   ||   ||   ||   ||   || 503.7855 ||   ||
||=   ||=   ||=   ||=   ||= 34\81 ||=   ||< 503.704 ||= Optimal meantone is around here ||
||=   ||=   ||=   ||=   ||=   ||= 47\112 ||< 503.571 ||= Meantone/Meanpop ||
||   ||   ||   ||   ||   ||   || 503.5685 ||   ||
||=   ||=   ||= 13\31 ||=   ||=   ||=   ||< 503.226 ||= Optimal rank range (L/s=3/2) ||
||=   ||=   ||=   ||=   ||=   ||= 44\105 ||< 502.857 ||= Meantone/Huygens ||
||=   ||=   ||=   ||=   ||= 31\74 ||=   ||< 502.703 ||= Meantone/Huygens ||
||=   ||=   ||=   ||=   ||=   ||= 49\117 ||< 502.564 ||=   ||
||=   ||=   ||=   ||= 18\43 ||=   ||=   ||< 502.326 ||= Meantone/Meridetone ||
||=   ||=   ||=   ||=   ||=   ||= 41\98 ||< 502.041 ||=   ||
||=   ||=   ||=   ||=   ||= 23\55 ||=   ||< 501.818 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 28\67 ||< 501.493 ||=   ||
||= 5\12 ||=   ||=   ||=   ||=   ||=   ||< 500 ||=   ||

Original HTML content:

<html><head><title>7L 5s</title></head><body>This is the MOS pattern of the <a class="wiki_link" href="/Meantone%20family">meantone</a> chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, &quot;diatonic&quot; semitones (~16/15), such as appear in the <a class="wiki_link" href="/5L%202s">diatonic scale</a>, for example B-C, are larger than &quot;chromatic&quot; semitones (~25/24), the intervals by which flats and sharps alter pitches.<br />
<br />
The meantone chromatic scale is <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>.<br />


<table class="wiki_table">
    <tr>
        <th colspan="6">Generator<br />
</th>
        <th>in cents<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 style="text-align: center;"><br />
</td>
        <td style="text-align: left;">514.286<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;">20\47<br />
</td>
        <td style="text-align: left;">510.638<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\40<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">510<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;">31\73<br />
</td>
        <td style="text-align: left;">509.589<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;">14\33<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">509.091<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;">39\92<br />
</td>
        <td style="text-align: left;">508.696<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;">25\59<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">508.475<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;">36\85<br />
</td>
        <td style="text-align: left;">508.235<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>507.934<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;">11\26<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;">507.692<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 style="text-align: center;"><span style="display: block; text-align: center;">41\97</span><br />
</td>
        <td>507.216<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: left;">507.151<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Flattone</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;">30\71<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">507.042<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>506.9365<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;"><br />
</td>
        <td style="text-align: center;">49\116<br />
</td>
        <td style="text-align: left;">506.897<br />
</td>
        <td style="text-align: center;">Flattone<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;">19\45<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">506.667<br />
</td>
        <td style="text-align: center;">Flattone<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;">46\109<br />
</td>
        <td style="text-align: left;">506.422<br />
</td>
        <td style="text-align: center;">Flattone<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;">27\64<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">506.25<br />
</td>
        <td style="text-align: center;">Flattone<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;">35\83<br />
</td>
        <td style="text-align: left;">506.024<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">8\19<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;">505.263<br />
</td>
        <td style="text-align: center;">Boundary of propriety: generators smaller than this are proper.<br />
Meanenneadecal<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;">37\88<br />
</td>
        <td style="text-align: left;">504.5455<br />
</td>
        <td style="text-align: center;">LucyTuning<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;">29\69<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">504.348<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>504.275<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;"><br />
</td>
        <td style="text-align: center;">50\119<br />
</td>
        <td style="text-align: left;">504.202<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;">21\50<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">504<br />
</td>
        <td style="text-align: center;">Meantone/Meanpop<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;">55\131<br />
</td>
        <td style="text-align: left;">503.817<br />
</td>
        <td style="text-align: center;">Golden meantone<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>503.7855<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;">34\81<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">503.704<br />
</td>
        <td style="text-align: center;">Optimal meantone is around 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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">47\112<br />
</td>
        <td style="text-align: left;">503.571<br />
</td>
        <td style="text-align: center;">Meantone/Meanpop<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>503.5685<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;">13\31<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;">503.226<br />
</td>
        <td style="text-align: center;">Optimal rank range (L/s=3/2)<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;">44\105<br />
</td>
        <td style="text-align: left;">502.857<br />
</td>
        <td style="text-align: center;">Meantone/Huygens<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;">31\74<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">502.703<br />
</td>
        <td style="text-align: center;">Meantone/Huygens<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;">49\117<br />
</td>
        <td style="text-align: left;">502.564<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;">18\43<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">502.326<br />
</td>
        <td style="text-align: center;">Meantone/Meridetone<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;">41\98<br />
</td>
        <td style="text-align: left;">502.041<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;">23\55<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">501.818<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;">28\67<br />
</td>
        <td style="text-align: left;">501.493<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5\12<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;">500<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>2015-05-23 17:33:32 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-10 17:50:24 UTC</tt>.<br>
-: The original revision id was <tt>551977454</tt>.<br>
+: The original revision id was <tt>565970535</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: @@
 ||= 3\7 ||=   ||=   ||=   ||=   ||=   ||&lt; 514.286 ||=   ||
 ||=   ||=   ||=   ||=   ||=   ||= 20\47 ||&lt; 510.638 ||=   ||
-||=   ||=   ||=   ||=   ||= 17\40 ||=   ||&lt; 510.000 ||=   ||
+||=   ||=   ||=   ||=   ||= 17\40 ||=   ||&lt; 510 ||=   ||
 ||=   ||=   ||=   ||=   ||=   ||= 31\73 ||&lt; 509.589 ||=   ||
 ||=   ||=   ||=   ||= 14\33 ||=   ||=   ||&lt; 509.091 ||=   ||
@@ Line 20: / Line 20: @@
 ||   ||   ||   ||   ||   ||   || 507.934 ||   ||
 ||=   ||=   ||= 11\26 ||=   ||=   ||=   ||&lt; 507.692 ||=   ||
-||   ||   ||   ||   ||   ||= &lt;span style="display: block; text-align: center;"&gt;41\97 &lt;/span&gt; || 507.216 ||=   ||
+||   ||   ||   ||   ||   ||= &lt;span style="display: block; text-align: center;"&gt;41\97&lt;/span&gt; || 507.216 ||=   ||
 ||=   ||=   ||=   ||=   ||=   ||=   ||&lt; 507.151 ||= &lt;span style="display: block; text-align: center;"&gt;Flattone&lt;/span&gt; ||
 ||=   ||=   ||=   ||=   ||= 30\71 ||=   ||&lt; 507.042 ||=   ||
+||   ||   ||   ||   ||   ||   || 506.9365 ||   ||
 ||=   ||=   ||=   ||=   ||=   ||= 49\116 ||&lt; 506.897 ||= Flattone ||
 ||=   ||=   ||=   ||= 19\45 ||=   ||=   ||&lt; 506.667 ||= Flattone ||
 ||=   ||=   ||=   ||=   ||=   ||= 46\109 ||&lt; 506.422 ||= Flattone ||
-||=   ||=   ||=   ||=   ||= 27\64 ||=   ||&lt; 506.250 ||= Flattone ||
+||=   ||=   ||=   ||=   ||= 27\64 ||=   ||&lt; 506.25 ||= Flattone ||
 ||=   ||=   ||=   ||=   ||=   ||= 35\83 ||&lt; 506.024 ||=   ||
 ||=   ||= 8\19 ||=   ||=   ||=   ||=   ||&lt; 505.263 ||= Boundary of propriety: generators smaller than this are proper.
 Meanenneadecal ||
-||=   ||=   ||=   ||=   ||=   ||= 37\88 ||&lt; 504.545 ||= LucyTuning ||
+||=   ||=   ||=   ||=   ||=   ||= 37\88 ||&lt; 504.5455 ||= LucyTuning ||
 ||=   ||=   ||=   ||=   ||= 29\69 ||=   ||&lt; 504.348 ||=   ||
+||   ||   ||   ||   ||   ||   || 504.275 ||   ||
 ||=   ||=   ||=   ||=   ||=   ||= 50\119 ||&lt; 504.202 ||=   ||
-||=   ||=   ||=   ||= 21\50 ||=   ||=   ||&lt; 504.000 ||= Meantone/Meanpop ||
+||=   ||=   ||=   ||= 21\50 ||=   ||=   ||&lt; 504 ||= Meantone/Meanpop ||
 ||=   ||=   ||=   ||=   ||=   ||= 55\131 ||&lt; 503.817 ||= Golden meantone ||
+||   ||   ||   ||   ||   ||   || 503.7855 ||   ||
 ||=   ||=   ||=   ||=   ||= 34\81 ||=   ||&lt; 503.704 ||= Optimal meantone is around here ||
 ||=   ||=   ||=   ||=   ||=   ||= 47\112 ||&lt; 503.571 ||= Meantone/Meanpop ||
+||   ||   ||   ||   ||   ||   || 503.5685 ||   ||
 ||=   ||=   ||= 13\31 ||=   ||=   ||=   ||&lt; 503.226 ||= Optimal rank range (L/s=3/2) ||
 ||=   ||=   ||=   ||=   ||=   ||= 44\105 ||&lt; 502.857 ||= Meantone/Huygens ||
@@ Line 45: / Line 49: @@
 ||=   ||=   ||=   ||=   ||= 23\55 ||=   ||&lt; 501.818 ||=   ||
 ||=   ||=   ||=   ||=   ||=   ||= 28\67 ||&lt; 501.493 ||=   ||
-||= 5\12 ||=   ||=   ||=   ||=   ||=   ||&lt; 500.000 ||=   ||</pre></div>
+||= 5\12 ||=   ||=   ||=   ||=   ||=   ||&lt; 500 ||=   ||</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;7L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the MOS pattern of the &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, &amp;quot;diatonic&amp;quot; semitones (~16/15), such as appear in the &lt;a class="wiki_link" href="/5L%202s"&gt;diatonic scale&lt;/a&gt;, for example B-C, are larger than &amp;quot;chromatic&amp;quot; semitones (~25/24), the intervals by which flats and sharps alter pitches.&lt;br /&gt;
@@ Line 110: / Line 114: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;510.000&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;510&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 252: / Line 256: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;41\97 &lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;41\97&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;507.216&lt;br /&gt;
@@ Line 293: / Line 297: @@
 &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;506.9365&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 362: / Line 384: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;506.250&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;506.25&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Flattone&lt;br /&gt;
@@ Line 417: / Line 439: @@
          &lt;td style="text-align: center;"&gt;37\88&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;504.545&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;504.5455&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;LucyTuning&lt;br /&gt;
@@ Line 438: / Line 460: @@
 &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;504.275&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 471: / Line 511: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;504.000&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;504&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Meantone/Meanpop&lt;br /&gt;
@@ Line 492: / Line 532: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Golden meantone&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;503.7855&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 528: / Line 586: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Meantone/Meanpop&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;503.5685&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 687: / Line 763: @@
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;500.000&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;500&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;

7L 5s: Difference between revisions

Revision as of 17:50, 10 November 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search