Otones20-40: Difference between revisions

Revision as of 21:08, 8 June 2009

IMPORTED REVISION FROM WIKISPACES

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Original Wikitext content:

Taking harmonic overtones 20 to 40, you can make a 20-note isoharmonic scale like this:

|| otone || 20 || 21 || 22 || 23 || 24 || 25 || 26 || 27 || 28 || 29 || 30 || 31 || 32 || 33 || 34 || 35 || 36 || 37 || 38 || 39 || 40 ||
|| freq. ratio || 1/1 || 21/20 || 11/10 || 23/20 || 6/5 || 5/4 || 13/10 || 27/20 || 7/5 || 29/20 || 3/2 || 31/20 || 8/5 || 33/20 || 17/10 || 7/4 || 9/5 || 37/20 || 19/10 || 39/20 || 2/1 ||
|| cents || 0 || 84 || 165 || 242 || 316 || 386 || 454 || 520 || 583 || 643 || 702 || 759 || 814 || 867 || 919 || 969 || 1018 || 1065 || 1111 || 1156 || 1200 ||

A reference chart to find cents values for every interval available in this scale:

||   || 20 || 21 || 22 || 23 || 24 || 25 || 26 || 27 || 28 || 29 || 30 || 31 || 32 || 33 || 34 || 35 || 36 || 37 || 38 || 39 ||
|| 20 || 0 || 84 || 165 || 242 || 316 || 386 || 454 || 520 || 583 || 643 || 702 || 759 || 814 || 867 || 919 || 969 || 1018 || 1065 || 1111 || 1156 ||
|| 21 || 1116 || 0 || 81 || 157 || 231 || 302 || 370 || 435 || 498 || 559 || 617 || 674 || 729 || 782 || 834 || 884 || 933 || 981 || 1027 || 1072 ||
|| 22 || 1035 || 1119 || 0 || 77 || 151 || 221 || 289 || 355 || 418 || 478 || 537 || 594 || 649 || 702 || 754 || 804 || 853 || 900 || 946 || 991 ||
|| 23 || 958 || 1043 || 1123 || 0 || 74 || 144 || 212 || 278 || 341 || 401 || 460 || 517 || 572 || 625 || 677 || 727 || 776 || 823 || 869 || 914 ||
|| 24 || 884 || 969 || 1049 || 1126 || 0 || 71 || 139 || 204 || 267 || 328 || 386 || 443 || 498 || 551 || 603 || 653 || 702 || 749 || 796 || 841 ||
|| 25 || 814 || 583 || 979 || 1056 || 1129 || 0 || 68 || 133 || 196 || 257 || 316 || 372 || 427 || 481 || 532 || 583 || 631 || 679 || 725 || 770 ||
|| 26 || 746 || 830 || 911 || 988 || 1061 || 1132 || 0 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 27 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 28 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 29 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 30 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 31 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 32 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 33 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 34 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 35 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 36 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 37 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 38 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| 39 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||

Original HTML content:

<html><head><title>otones20-40</title></head><body>Taking harmonic overtones 20 to 40, you can make a 20-note isoharmonic scale like this:<br />
<br />


<table class="wiki_table">
    <tr>
        <td>otone<br />
</td>
        <td>20<br />
</td>
        <td>21<br />
</td>
        <td>22<br />
</td>
        <td>23<br />
</td>
        <td>24<br />
</td>
        <td>25<br />
</td>
        <td>26<br />
</td>
        <td>27<br />
</td>
        <td>28<br />
</td>
        <td>29<br />
</td>
        <td>30<br />
</td>
        <td>31<br />
</td>
        <td>32<br />
</td>
        <td>33<br />
</td>
        <td>34<br />
</td>
        <td>35<br />
</td>
        <td>36<br />
</td>
        <td>37<br />
</td>
        <td>38<br />
</td>
        <td>39<br />
</td>
        <td>40<br />
</td>
    </tr>
    <tr>
        <td>freq. ratio<br />
</td>
        <td>1/1<br />
</td>
        <td>21/20<br />
</td>
        <td>11/10<br />
</td>
        <td>23/20<br />
</td>
        <td>6/5<br />
</td>
        <td>5/4<br />
</td>
        <td>13/10<br />
</td>
        <td>27/20<br />
</td>
        <td>7/5<br />
</td>
        <td>29/20<br />
</td>
        <td>3/2<br />
</td>
        <td>31/20<br />
</td>
        <td>8/5<br />
</td>
        <td>33/20<br />
</td>
        <td>17/10<br />
</td>
        <td>7/4<br />
</td>
        <td>9/5<br />
</td>
        <td>37/20<br />
</td>
        <td>19/10<br />
</td>
        <td>39/20<br />
</td>
        <td>2/1<br />
</td>
    </tr>
    <tr>
        <td>cents<br />
</td>
        <td>0<br />
</td>
        <td>84<br />
</td>
        <td>165<br />
</td>
        <td>242<br />
</td>
        <td>316<br />
</td>
        <td>386<br />
</td>
        <td>454<br />
</td>
        <td>520<br />
</td>
        <td>583<br />
</td>
        <td>643<br />
</td>
        <td>702<br />
</td>
        <td>759<br />
</td>
        <td>814<br />
</td>
        <td>867<br />
</td>
        <td>919<br />
</td>
        <td>969<br />
</td>
        <td>1018<br />
</td>
        <td>1065<br />
</td>
        <td>1111<br />
</td>
        <td>1156<br />
</td>
        <td>1200<br />
</td>
    </tr>
</table>

<br />
A reference chart to find cents values for every interval available in this scale:<br />
<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td>20<br />
</td>
        <td>21<br />
</td>
        <td>22<br />
</td>
        <td>23<br />
</td>
        <td>24<br />
</td>
        <td>25<br />
</td>
        <td>26<br />
</td>
        <td>27<br />
</td>
        <td>28<br />
</td>
        <td>29<br />
</td>
        <td>30<br />
</td>
        <td>31<br />
</td>
        <td>32<br />
</td>
        <td>33<br />
</td>
        <td>34<br />
</td>
        <td>35<br />
</td>
        <td>36<br />
</td>
        <td>37<br />
</td>
        <td>38<br />
</td>
        <td>39<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0<br />
</td>
        <td>84<br />
</td>
        <td>165<br />
</td>
        <td>242<br />
</td>
        <td>316<br />
</td>
        <td>386<br />
</td>
        <td>454<br />
</td>
        <td>520<br />
</td>
        <td>583<br />
</td>
        <td>643<br />
</td>
        <td>702<br />
</td>
        <td>759<br />
</td>
        <td>814<br />
</td>
        <td>867<br />
</td>
        <td>919<br />
</td>
        <td>969<br />
</td>
        <td>1018<br />
</td>
        <td>1065<br />
</td>
        <td>1111<br />
</td>
        <td>1156<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>1116<br />
</td>
        <td>0<br />
</td>
        <td>81<br />
</td>
        <td>157<br />
</td>
        <td>231<br />
</td>
        <td>302<br />
</td>
        <td>370<br />
</td>
        <td>435<br />
</td>
        <td>498<br />
</td>
        <td>559<br />
</td>
        <td>617<br />
</td>
        <td>674<br />
</td>
        <td>729<br />
</td>
        <td>782<br />
</td>
        <td>834<br />
</td>
        <td>884<br />
</td>
        <td>933<br />
</td>
        <td>981<br />
</td>
        <td>1027<br />
</td>
        <td>1072<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>1035<br />
</td>
        <td>1119<br />
</td>
        <td>0<br />
</td>
        <td>77<br />
</td>
        <td>151<br />
</td>
        <td>221<br />
</td>
        <td>289<br />
</td>
        <td>355<br />
</td>
        <td>418<br />
</td>
        <td>478<br />
</td>
        <td>537<br />
</td>
        <td>594<br />
</td>
        <td>649<br />
</td>
        <td>702<br />
</td>
        <td>754<br />
</td>
        <td>804<br />
</td>
        <td>853<br />
</td>
        <td>900<br />
</td>
        <td>946<br />
</td>
        <td>991<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>958<br />
</td>
        <td>1043<br />
</td>
        <td>1123<br />
</td>
        <td>0<br />
</td>
        <td>74<br />
</td>
        <td>144<br />
</td>
        <td>212<br />
</td>
        <td>278<br />
</td>
        <td>341<br />
</td>
        <td>401<br />
</td>
        <td>460<br />
</td>
        <td>517<br />
</td>
        <td>572<br />
</td>
        <td>625<br />
</td>
        <td>677<br />
</td>
        <td>727<br />
</td>
        <td>776<br />
</td>
        <td>823<br />
</td>
        <td>869<br />
</td>
        <td>914<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>884<br />
</td>
        <td>969<br />
</td>
        <td>1049<br />
</td>
        <td>1126<br />
</td>
        <td>0<br />
</td>
        <td>71<br />
</td>
        <td>139<br />
</td>
        <td>204<br />
</td>
        <td>267<br />
</td>
        <td>328<br />
</td>
        <td>386<br />
</td>
        <td>443<br />
</td>
        <td>498<br />
</td>
        <td>551<br />
</td>
        <td>603<br />
</td>
        <td>653<br />
</td>
        <td>702<br />
</td>
        <td>749<br />
</td>
        <td>796<br />
</td>
        <td>841<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>814<br />
</td>
        <td>583<br />
</td>
        <td>979<br />
</td>
        <td>1056<br />
</td>
        <td>1129<br />
</td>
        <td>0<br />
</td>
        <td>68<br />
</td>
        <td>133<br />
</td>
        <td>196<br />
</td>
        <td>257<br />
</td>
        <td>316<br />
</td>
        <td>372<br />
</td>
        <td>427<br />
</td>
        <td>481<br />
</td>
        <td>532<br />
</td>
        <td>583<br />
</td>
        <td>631<br />
</td>
        <td>679<br />
</td>
        <td>725<br />
</td>
        <td>770<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>746<br />
</td>
        <td>830<br />
</td>
        <td>911<br />
</td>
        <td>988<br />
</td>
        <td>1061<br />
</td>
        <td>1132<br />
</td>
        <td>0<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
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        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
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</td>
        <td><br />
</td>
        <td><br />
</td>
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</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
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</td>
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</td>
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</td>
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</td>
        <td><br />
</td>
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</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
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</td>
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</td>
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</td>
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</td>
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</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
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@@ 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-08 20:59:06 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-08 21:08:58 UTC</tt>.<br>
-: The original revision id was <tt>77340555</tt>.<br>
+: The original revision id was <tt>77341755</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>
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-|| 24 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
+|| 24 || 884 || 969 || 1049 || 1126 || 0 || 71 || 139 || 204 || 267 || 328 || 386 || 443 || 498 || 551 || 603 || 653 || 702 || 749 || 796 || 841 ||
-|| 25 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
+|| 25 || 814 || 583 || 979 || 1056 || 1129 || 0 || 68 || 133 || 196 || 257 || 316 || 372 || 427 || 481 || 532 || 583 || 631 || 679 || 725 || 770 ||
-|| 26 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
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Otones20-40: Difference between revisions

Revision as of 21:08, 8 June 2009

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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