Otones20-40
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2009-06-08 20:59:06 UTC.
- The original revision id was 77340555.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
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 || || || || || || || || || || || || || || || || || || || || || || 25 || || || || || || || || || || || || || || || || || || || || || || 26 || || || || || || || || || || || || || || || || || || || || || || 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><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>25<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>26<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>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 />
</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>34<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>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>
<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>36<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>37<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>38<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>39<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>
</table>
</body></html>