3L 13s

Revision as of 16:04, 14 November 2015 by Wikispaces>JosephRuhf (**Imported revision 566468349 - Original comment: **)

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This revision was by author JosephRuhf and made on 2015-11-14 16:04:12 UTC.
The original revision id was 566468349.
The revision comment was:

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Original Wikitext content:

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 ||

Original HTML content:

<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 />


<table class="wiki_table">
    <tr>
        <td>1/3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/28<br />
</td>
        <td><br />
</td>
        <td>171.429<br />
</td>
        <td>214.286<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17/53<br />
</td>
        <td>181.132<br />
</td>
        <td>226.415<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8/25<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>192<br />
</td>
        <td>240<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/72<br />
</td>
        <td>200<br />
</td>
        <td>250<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>15/47<br />
</td>
        <td><br />
</td>
        <td>204.255<br />
</td>
        <td>255.319<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/69<br />
</td>
        <td>208.696<br />
</td>
        <td>260.87<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>214.049<br />
</td>
        <td>267.561<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>218.182<br />
</td>
        <td>272.727<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>27/85<br />
</td>
        <td>225.882<br />
</td>
        <td>282.353<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>226.898<br />
</td>
        <td>283.623<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>20/63<br />
</td>
        <td><br />
</td>
        <td>228.571<br />
</td>
        <td>285.714<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>230.1705<br />
</td>
        <td>287.713<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>33/104<br />
</td>
        <td>230.769<br />
</td>
        <td>288.4615<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>234.146<br />
</td>
        <td>292.683<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>32/101<br />
</td>
        <td>237.624<br />
</td>
        <td>297.03<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>19/60<br />
</td>
        <td><br />
</td>
        <td>240<br />
</td>
        <td>300<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>25/79<br />
</td>
        <td>243.038<br />
</td>
        <td>303.7975<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/19<br />
</td>
        <td><br />
</td>
        <td><br />
</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>