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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>
| | | Name = |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 16:42:31 UTC</tt>.<br>
| | | Periods = 1 |
| : The original revision id was <tt>551975094</tt>.<br>
| | | nLargeSteps = 3 |
| : The revision comment was: <tt></tt><br>
| | | nSmallSteps = 8 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Equalized = 4 |
| <h4>Original Wikitext content:</h4>
| | | Collapsed = 1 |
| <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">This scale, with a generator between 1\3 octave (400 cents) and 4\11 octave (436 4/11), has versions relating to ditonic/coditone, roman, bossier, sqrtphi and squares.
| | | Pattern = LsssLsssLss |
| || 1\3 || || 400 || || | | }} |
| || 18\53 || || 407.547 || Ditonic || | | {{MOS intro}} |
| || 17\50 || || 408.000 || ||
| |
| || 16\47 || || 408.511 || ||
| |
| || 15\44 || || 409.091 || ||
| |
| || 14\41 || || 409.756 || ||
| |
| || 13\38 || || 410.526 || ||
| |
| || 12\35 || || 411.429 || ||
| |
| || 11\32 || || 412.500 || ||
| |
| || 10\29 || || 413.793 || Roman ||
| |
| || 9\26 || || 415.385 || ||
| |
| || || 17\49 || 416.3265 || ||
| |
| || || 25\72 || 416.667 || Sqrtphi ||
| |
| || 8\23 || || 417.391 || ||
| |
| || 7\20 || || 420 || || | |
| || || 13\37 || 421.621 || Bossier || | |
| || || || 422.956 || || | |
| || 6\17 || || 423.529 || ||
| |
| || || || 424.76 || ||
| |
| || || 17\48 || 425 || ||
| |
| || || 11\31 || 425.806 || Squares ||
| |
| || || 16\45 || 426.667 || ||
| |
| || 5\14 || || 428.521 || ||
| |
| || || 19\53 || 430.187 || ||
| |
| || || 14\39 || 430.769 || ||
| |
| || || 23\64 || 431.25 || ||
| |
| || 9\25 || || 432 || ||
| |
| || || 22\61 || 432.787 || ||
| |
| || || 13\36 || 433.333 || ||
| |
| || || 17\47 || 434.043 || ||
| |
| || || 21\58 || 434.483 || ||
| |
| || || 25\69 || 434.783 || ||
| |
| || 4\11 || || 436.364 || ||</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>3L 8s</title></head><body>This scale, with a generator between 1\3 octave (400 cents) and 4\11 octave (436 4/11), has versions relating to ditonic/coditone, roman, bossier, sqrtphi and squares.<br />
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| | This scale has versions relating to [[ditonic]]/[[coditone]], [[roman]], [[bossier]], [[sqrtphi]], and [[squares]]. The unique generator ''g'' for which the suspended chord (that is, 1/1 - 2/''g'' - ''g'') is [[isodifferential]] generates this MOS (it is (sqrt(17) + 1)/4 = 428.422{{c}}, only 0.15{{c}} away from [[14edo|5\14]]), and as a result, [[User:Lériendil|Lériendil]] has proposed the name '''isodiaphoric''' for this scale. |
|
| |
|
| <table class="wiki_table">
| | == Scale properties == |
| <tr>
| | {{TAMNAMS use}} |
| <td>1\3<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>400<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18\53<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>407.547<br />
| |
| </td>
| |
| <td>Ditonic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17\50<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>408.000<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16\47<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>408.511<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15\44<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>409.091<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14\41<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>409.756<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13\38<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>410.526<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12\35<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>411.429<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11\32<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>412.500<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10\29<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>413.793<br />
| |
| </td>
| |
| <td>Roman<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9\26<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>415.385<br />
| |
| </td>
| |
| <td><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>17\49<br />
| |
| </td>
| |
| <td>416.3265<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>25\72<br />
| |
| </td>
| |
| <td>416.667<br />
| |
| </td>
| |
| <td>Sqrtphi<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8\23<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>417.391<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7\20<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>420<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>13\37<br />
| |
| </td>
| |
| <td>421.621<br />
| |
| </td>
| |
| <td>Bossier<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>422.956<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6\17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>423.529<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>424.76<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>17\48<br />
| |
| </td>
| |
| <td>425<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>11\31<br />
| |
| </td>
| |
| <td>425.806<br />
| |
| </td>
| |
| <td>Squares<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>16\45<br />
| |
| </td>
| |
| <td>426.667<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\14<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>428.521<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>19\53<br />
| |
| </td>
| |
| <td>430.187<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>14\39<br />
| |
| </td>
| |
| <td>430.769<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>23\64<br />
| |
| </td>
| |
| <td>431.25<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9\25<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>432<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>22\61<br />
| |
| </td>
| |
| <td>432.787<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>13\36<br />
| |
| </td>
| |
| <td>433.333<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>17\47<br />
| |
| </td>
| |
| <td>434.043<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>21\58<br />
| |
| </td>
| |
| <td>434.483<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>25\69<br />
| |
| </td>
| |
| <td>434.783<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4\11<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>436.364<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | === Intervals === |
| | {{MOS intervals}} |
| | |
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 6/1 = [[Ditonic]] ↓, [[Roman]] |
| | | 5/2 = [[Squares]] |
| | | 7/2 = [[Bossier]] |
| | | 11/2 = [[Sqrtphi]] (416.667{{c}}) |
| | }} |
| | |
| | {{todo|expand}} |
| | |
| | [[Category:11-tone scales]] |