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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>
| | | Periods = 3 |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-05-04 15:00:19 UTC</tt>.<br>
| | | nLargeSteps = 3 |
| : The original revision id was <tt>330153082</tt>.<br>
| | | nSmallSteps = 6 |
| : The revision comment was: <tt></tt><br>
| | | Equalized = 1 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Collapsed = 0 |
| <h4>Original Wikitext content:</h4>
| | | Pattern = LssLssLss |
| <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 MOS has generators which range between 100 (1/12edo) and 133.__3__: (1/9edo) cents and three periods per octave and runs Lss Lss Lss.
| | | Name = tcherepnin |
| | }} |
| | {{MOS intro}} |
|
| |
|
| || 1/12 || || || || || || 100 ||
| | == Name == |
| || || || || || || 6/69 || 104.34783 ||
| | [[TAMNAMS]] suggests the temperaement-agnostic name '''tcherepnin''' for this scale. This is named after Alexander Tcherepnin's 9-note scale which, in 12edo, is notated as C Db Eb E F G Ab A B C, forming the step pattern of HWHHWHHWH in standard notation (assuming a root of C). |
| || || || || || 5/57 || || 105.26316 ||
| |
| || || || || || || 9/102 || 105.88235 ||
| |
| || || || || 4/45 || || || 106.__6__ ||
| |
| || || || || || || 11/123 || 107.__31707__ ||
| |
| || || || || || 7/78 || || 107.69231 ||
| |
| || || || || || || 10/111 || 108.__108__ ||
| |
| || || || 3/33 || || || || 109.__09__ ||
| |
| || || || || || || 11/120 || 110 ||
| |
| || || || || || 8/87 || || 110.34483 ||
| |
| || || || || || || 13/141 || 110.63828 ||
| |
| || || || || 5/54 || || || 111.__1__ ||
| |
| || || || || || || 12/129 || 111.62791 ||
| |
| || || || || || 7/75 || || 112 ||
| |
| || || || || || || 9/96 || 112.5 ||
| |
| || || 2/21 || || || || || 114.28571 ||
| |
| || || || || || || 9/93 || 116.12903 ||
| |
| || || || || || 7/72 || || 116.__6__ ||
| |
| || || || || || || 12/123 || 117.__07137__ ||
| |
| || || || || 5/51 || || || 117.64706 ||
| |
| || || || || || || 13/132 || 118.__18__ ||
| |
| || || || || || 8/81 || || 118.__518__ ||
| |
| || || || || || || 11/111 || 118.__918__ ||
| |
| || || || 3/30 || || || || 120 ||
| |
| || || || || || || 10/99 || 121.__21__ ||
| |
| || || || || || 7/69 || || 121.73913 ||
| |
| || || || || || || 11/108 || 122.__2__ ||
| |
| || || || || 4/39 || || || 123.07692 ||
| |
| || || || || || || 9/87 || 124.13793 ||
| |
| || || || || || 5/48 || || 125 ||
| |
| || || || || || || 6/57 || 126.31579 ||
| |
| || 1/9 || || || || || || 133.__3__ ||</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 6s</title></head><body>This MOS has generators which range between 100 (1/12edo) and 133.<u>3</u>: (1/9edo) cents and three periods per octave and runs Lss Lss Lss.<br />
| |
| <br />
| |
|
| |
|
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <td>1/12<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>100<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>6/69<br />
| |
| </td>
| |
| <td>104.34783<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5/57<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>105.26316<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/102<br />
| |
| </td>
| |
| <td>105.88235<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/45<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>106.<u>6</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/123<br />
| |
| </td>
| |
| <td>107.<u>31707</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/78<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>107.69231<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>10/111<br />
| |
| </td>
| |
| <td>108.<u>108</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/33<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>109.<u>09</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/120<br />
| |
| </td>
| |
| <td>110<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8/87<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>110.34483<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13/141<br />
| |
| </td>
| |
| <td>110.63828<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5/54<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>111.<u>1</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>12/129<br />
| |
| </td>
| |
| <td>111.62791<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/75<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>112<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/96<br />
| |
| </td>
| |
| <td>112.5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>2/21<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>114.28571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/93<br />
| |
| </td>
| |
| <td>116.12903<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/72<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>116.<u>6</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>12/123<br />
| |
| </td>
| |
| <td>117.<u>07137</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5/51<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>117.64706<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13/132<br />
| |
| </td>
| |
| <td>118.<u>18</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8/81<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>118.<u>518</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/111<br />
| |
| </td>
| |
| <td>118.<u>918</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3/30<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>120<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>10/99<br />
| |
| </td>
| |
| <td>121.<u>21</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/69<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>121.73913<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/108<br />
| |
| </td>
| |
| <td>122.<u>2</u><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4/39<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>123.07692<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9/87<br />
| |
| </td>
| |
| <td>124.13793<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
| |
| </td>
| |
| <td>5/48<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>125<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>6/57<br />
| |
| </td>
| |
| <td>126.31579<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1/9<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>133.<u>3</u><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div> | | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 9/5 = August, Lithium |
| | | 12/5 = Augene |
| | | 10/3 = Inflated |
| | | 6/1 = Hemiug, hemiaug ↓ |
| | }} |
| | |
| | == External links == |
| | * Piano Encyclopedia, on Tcherepnin's 9-note scale: https://pianoencyclopedia.com/scales/tcherepnin-nine-note-mode-i/ |
| | |
| | [[Category:Tcherepnin| ]] |
| | [[Category:9-tone scales]] |
| | <!--main article--> |