|
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Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents). |
| 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>2015-11-14 16:04:12 UTC</tt>.<br>
| |
| : The original revision id was <tt>566468349</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>
| |
| <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents).
| |
| || 1/3 || || || || || || 0 || 0 ||
| |
| || || || || || 9/28 || || 171.429 || 214.286 ||
| |
| || || || || || || 17/53 || 181.132 || 226.415 ||
| |
| || || || || 8/25 || || || 192 || 240 ||
| |
| || || || || || || 23/72 || 200 || 250 ||
| |
| || || || || || 15/47 || || 204.255 || 255.319 ||
| |
| || || || || || || 22/69 || 208.696 || 260.87 ||
| |
| || || || || || || || 214.049 || 267.561 ||
| |
| || || || 7/22 || || || || 218.182 || 272.727 ||
| |
| || || || || || || 27/85 || 225.882 || 282.353 ||
| |
| || || || || || || || 226.898 || 283.623 ||
| |
| || || || || || 20/63 || || 228.571 || 285.714 ||
| |
| || || || || || || || 230.1705 || 287.713 ||
| |
| || || || || || || 33/104 || 230.769 || 288.4615 ||
| |
| || || || || 13/41 || || || 234.146 || 292.683 ||
| |
| || || || || || || 32/101 || 237.624 || 297.03 ||
| |
| || || || || || 19/60 || || 240 || 300 ||
| |
| || || || || || || 25/79 || 243.038 || 303.7975 ||
| |
| || || 6/19 || || || || || 252.632 || 315.789 ||
| |
| || || || || || || 29/92 || 260.87 || 326.087 ||
| |
| || || || || || 23/73 || || 263.014 || 328.767 ||
| |
| || || || || || || || 263.792 || 329.74 ||
| |
| || || || || || || 40/127 || 264.567 || 330.709 ||
| |
| || || || || 17/54 || || || 266.667 || 333.333 ||
| |
| || || || || || || 45/143 || 264.828 || 331.034 ||
| |
| || || || || || || || 268.846 || 336.057 ||
| |
| || || || || || 28/89 || || 269.663 || 337.079 ||
| |
| || || || || || || 39/124 || 270.968 || 338.71 ||
| |
| || || || || || || || 270.997 || 338.746 ||
| |
| || || || 11/35 || || || || 274.286 || 342.857 ||
| |
| || || || || || || 38/121 || 277.686 || 347.107 ||
| |
| || || || || || 27/86 || || 279.07 || 348.837 ||
| |
| || || || || || || 43/137 || 280.292 || 350.365 ||
| |
| || || || || 16/51 || || || 282.353 || 352.941 ||
| |
| || || || || || || 37/118 || 284.746 || 355.932 ||
| |
| || || || || || 21/67 || || 286.567 || 358.209 ||
| |
| || 5/16 || || || || || || 300 || 375 ||</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 13s</title></head><body>This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents).<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 1/3 |
| <td>1/3<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 0 |
| <td><br />
| | | | 0 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>0<br />
| | | | 9/28 |
| </td>
| | | | |
| <td>0<br />
| | | | 171.429 |
| </td>
| | | | 214.286 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 17/53 |
| </td>
| | | | 181.132 |
| <td><br />
| | | | 226.415 |
| </td>
| | |- |
| <td>9/28<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 8/25 |
| <td>171.429<br />
| | | | |
| </td>
| | | | |
| <td>214.286<br />
| | | | 192 |
| </td>
| | | | 240 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 23/72 |
| </td>
| | | | 200 |
| <td><br />
| | | | 250 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>17/53<br />
| | | | |
| </td>
| | | | |
| <td>181.132<br />
| | | | 15/47 |
| </td>
| | | | |
| <td>226.415<br />
| | | | 204.255 |
| </td>
| | | | 255.319 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 22/69 |
| </td>
| | | | 208.696 |
| <td>8/25<br />
| | | | 260.87 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>192<br />
| | | | |
| </td>
| | | | |
| <td>240<br />
| | | | 214.049 |
| </td>
| | | | 267.561 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 7/22 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 218.182 |
| <td><br />
| | | | 272.727 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>23/72<br />
| | | | |
| </td>
| | | | |
| <td>200<br />
| | | | |
| </td>
| | | | 27/85 |
| <td>250<br />
| | | | 225.882 |
| </td>
| | | | 282.353 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 226.898 |
| <td><br />
| | | | 283.623 |
| </td>
| | |- |
| <td>15/47<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>204.255<br />
| | | | 20/63 |
| </td>
| | | | |
| <td>255.319<br />
| | | | 228.571 |
| </td>
| | | | 285.714 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 230.1705 |
| <td><br />
| | | | 287.713 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>22/69<br />
| | | | |
| </td>
| | | | |
| <td>208.696<br />
| | | | |
| </td>
| | | | 33/104 |
| <td>260.87<br />
| | | | 230.769 |
| </td>
| | | | 288.4615 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 13/41 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 234.146 |
| <td><br />
| | | | 292.683 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>214.049<br />
| | | | |
| </td>
| | | | 32/101 |
| <td>267.561<br />
| | | | 237.624 |
| </td>
| | | | 297.03 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 19/60 |
| <td>7/22<br />
| | | | |
| </td>
| | | | 240 |
| <td><br />
| | | | 300 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>218.182<br />
| | | | |
| </td>
| | | | 25/79 |
| <td>272.727<br />
| | | | 243.038 |
| </td>
| | | | 303.7975 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | 6/19 |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 252.632 |
| <td><br />
| | | | 315.789 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>27/85<br />
| | | | |
| </td>
| | | | |
| <td>225.882<br />
| | | | |
| </td>
| | | | 29/92 |
| <td>282.353<br />
| | | | 260.87 |
| </td>
| | | | 326.087 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 23/73 |
| <td><br />
| | | | |
| </td>
| | | | 263.014 |
| <td><br />
| | | | 328.767 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>226.898<br />
| | | | |
| </td>
| | | | |
| <td>283.623<br />
| | | | 263.792 |
| </td>
| | | | 329.74 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 40/127 |
| </td>
| | | | 264.567 |
| <td><br />
| | | | 330.709 |
| </td>
| | |- |
| <td>20/63<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 17/54 |
| <td>228.571<br />
| | | | |
| </td>
| | | | |
| <td>285.714<br />
| | | | 266.667 |
| </td>
| | | | 333.333 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 45/143 |
| </td>
| | | | 264.828 |
| <td><br />
| | | | 331.034 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>230.1705<br />
| | | | |
| </td>
| | | | |
| <td>287.713<br />
| | | | 268.846 |
| </td>
| | | | 336.057 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 28/89 |
| <td><br />
| | | | |
| </td>
| | | | 269.663 |
| <td><br />
| | | | 337.079 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>33/104<br />
| | | | |
| </td>
| | | | |
| <td>230.769<br />
| | | | |
| </td>
| | | | 39/124 |
| <td>288.4615<br />
| | | | 270.968 |
| </td>
| | | | 338.71 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 270.997 |
| <td>13/41<br />
| | | | 338.746 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 11/35 |
| </td>
| | | | |
| <td>234.146<br />
| | | | |
| </td>
| | | | |
| <td>292.683<br />
| | | | 274.286 |
| </td>
| | | | 342.857 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 38/121 |
| </td>
| | | | 277.686 |
| <td><br />
| | | | 347.107 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>32/101<br />
| | | | |
| </td>
| | | | |
| <td>237.624<br />
| | | | 27/86 |
| </td>
| | | | |
| <td>297.03<br />
| | | | 279.07 |
| </td>
| | | | 348.837 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 43/137 |
| </td>
| | | | 280.292 |
| <td><br />
| | | | 350.365 |
| </td>
| | |- |
| <td>19/60<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 16/51 |
| <td>240<br />
| | | | |
| </td>
| | | | |
| <td>300<br />
| | | | 282.353 |
| </td>
| | | | 352.941 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 37/118 |
| </td>
| | | | 284.746 |
| <td><br />
| | | | 355.932 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>25/79<br />
| | | | |
| </td>
| | | | |
| <td>243.038<br />
| | | | 21/67 |
| </td>
| | | | |
| <td>303.7975<br />
| | | | 286.567 |
| </td>
| | | | 358.209 |
| </tr>
| | |- |
| <tr>
| | | | 5/16 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>6/19<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 300 |
| <td><br />
| | | | 375 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>252.632<br />
| |
| </td>
| |
| <td>315.789<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>29/92<br />
| |
| </td>
| |
| <td>260.87<br />
| |
| </td>
| |
| <td>326.087<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>23/73<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>263.014<br />
| |
| </td>
| |
| <td>328.767<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>263.792<br />
| |
| </td>
| |
| <td>329.74<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>40/127<br />
| |
| </td>
| |
| <td>264.567<br />
| |
| </td>
| |
| <td>330.709<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>17/54<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>266.667<br />
| |
| </td>
| |
| <td>333.333<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>45/143<br />
| |
| </td>
| |
| <td>264.828<br />
| |
| </td>
| |
| <td>331.034<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>268.846<br />
| |
| </td>
| |
| <td>336.057<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>28/89<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>269.663<br />
| |
| </td>
| |
| <td>337.079<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>39/124<br />
| |
| </td>
| |
| <td>270.968<br />
| |
| </td>
| |
| <td>338.71<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>270.997<br />
| |
| </td>
| |
| <td>338.746<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/35<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>274.286<br />
| |
| </td>
| |
| <td>342.857<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>38/121<br />
| |
| </td>
| |
| <td>277.686<br />
| |
| </td>
| |
| <td>347.107<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>27/86<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>279.07<br />
| |
| </td>
| |
| <td>348.837<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>43/137<br />
| |
| </td>
| |
| <td>280.292<br />
| |
| </td>
| |
| <td>350.365<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>16/51<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>282.353<br />
| |
| </td>
| |
| <td>352.941<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>37/118<br />
| |
| </td>
| |
| <td>284.746<br />
| |
| </td>
| |
| <td>355.932<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>21/67<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>286.567<br />
| |
| </td>
| |
| <td>358.209<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/16<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>300<br />
| |
| </td>
| |
| <td>375<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |