List of 47-odd-limit intervals
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 2013-10-26 15:13:59 UTC.
- The original revision id was 463349948.
- 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:
The 47-limit. Whoa. Here is a list of the intervals within the octave belonging to the 47-odd limit -- that is, intervals between 1/1 and 2/1 which contain no odd numbers greater than 47. It is organized by [[interval category]] according to the Schulter System outlined in [[http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]]. ==Pure Unison (0 cents)== ||~ ratio ||~ cents value || || 1/1 || 0 || ==Commas (0-30 cents)== None within the 47-odd limit. ==Dieses (30-60 cents)== ||~ ratio ||~ cents value ||~ prime limit || || 48/47 || 36.448 || 47 || || 47/46 || 37.232 || 47 || || 46/45 || 38.051 || 23 || || 45/44 || 38.906 || 11 || || 44/43 || 39.800 || 43 || || 43/42 || 40.737 || 43 || || 42/41 || 41.719 || 41 || || 41/40 || 42.749 || 41 || || 40/39 || 43.831 || 13 || || 39/38 || 44.970 || 19 || || 38/37 || 46/169 || 37 || || 37/36 || 47.434 || 37 || || 36/35 || 48.770 || 7 || || 35/34 || 50.184 || 17 || || 34/33 || 51.682 || 17 || || 33/32 || 53.273 || 11 || || 32/31 || 54.964 || 31 || || 31/30 || 56.767 || 31 || || 30/29 || 58.692 || 29 || ==Minor Seconds (60-125 cents)== ===Small Minor Seconds (60-80 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 29/28 || 60.751 || 29 || || 28/27 || 62.961 || 7 || || 27/26 || 65.337 || 13 || || 26/25 || 67.900 || 13 || || 25/24 || 70.672 || 5 || || 24/23 || 73.681 || 23 || || 47/45 || 75.283 || 47 || || 23/22 || 76.956 || 23 || || 45/43 || 78.706 || 43 || ===Middle Minor Seconds (80-100 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 22/21 || 80.537 || 11 || || 43/41 || 82.455 || 43 || || 21/20 || 84.467 || 7 || || 41/39 || 86.580 || 41 || || 20/19 || 88.801 || 19 || || 39/37 || 91.139 || 37 || || 19/18 || 93.603 || 19 || || 37/35 || 96.204 || 37 || || 18/17 || 98.955 || 17 || ===Large Minor Seconds (100-125 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 35/33 || 101.867 || 11 || || 17/16 || 104.955 || 17 || || 50/47 || 107.121 || 47 || || 33/31 || 108.237 || 31 || || 16/15 = 48/45 || 111.731 || 5 || || 47/44 || 114.189 || 47 || || 31/29 || 115.458 || 31 || || 46/43 || 116.757 || 43 || || 15/14 = 45/42 || 119.443 || 7 || || 44/41 || 122.256 || 41 || || 29/27 || 123.712 || 29 || ==Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)== ===Small Central Seconds (125-170 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 43/40 || 125.204 || 43 || || 14/13 = 42/39 || 128.298 || 13 || || 41/38 || 131.549 || 41 || || 27/25 || 133.238 || 5 || || 40/37 || 134.970 || 37 || ===Middle Central Seconds (135-160 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 13/12 = 39/36 || 138.573 || 13 || || 38/35 || 142.373 || 19 || || 25/23 || 144.353 || 23 || || 37/34 || 146.389 || 37 || || 12/11 = 36/33 || 150.637 || 11 || || 47/43 || 153.989 || 47 || || 35/32 || 155.140 || 7 || || 23/21 || 157.493 || 23 || || 34/31 || 159.920 || 31 || ===Large Central Seconds (160-170 cents)=== ====Beginning of Equable Heptatonic Region (160-182 cents)==== ||~ ratio ||~ cents value ||~ prime limit || || 45/41 || 161.161 || 41 || || 11/10 = 33/30 || 165.004 || 11 || || 43/39 || 169.035 || 43 || ====End of Large Central Seconds Region, continuation of Equable Heptatonic Region==== ||~ ratio ||~ cents value ||~ prime limit || || 32/29 || 170.423 || 29 || || 21/19 || 173.268 || 19 || || 52/47 || 175.021 || 47 || || 31/28 || 176.210 || 31 || || 41/37 || 177.718 || 41 || ====End of Equable Heptatonic Region.==== ==Major Seconds (180-240 cents)== ===Small Major Seconds (180-200 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 10/9 = 30/27 = 50/45 || 182.404 || 5 || || 39/35 || 187.343 || 13 || || 29/26 || 189.050 || 29 || || 19/17 || 192.558 || 19 || || 47/42 || 194.726 || 47 || || 28/25 || 196.198 || 7 || || 37/33 || 198.071 || 37 || || 46/41 || 199.212 || 41 || ===Middle Major Seconds (200-220 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 9/8 = 27/24 = 45/40 || 203.910 || 3 || || 44/39 || 208.835 || 13 || || 35/31 || 210.104 || 31 || || 26/23 || 212.253 || 23 || || 43/38 || 214.005 || 43 || || 17/15 || 216.687 || 17 || || 42/37 || 219.437 || 37 || ===Large Major Seconds (220-240 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 25/22 || 221.309 || 11 || || 33/29 || 223.696 || 29 || || 41/36 || 225.152 || 41 || || 8/7 = 24/21 = 40/35 || 231.174 || 7 || || 47/41 || 236.444 || 47 || || 39/34 || 237.527 || 17 || || 31/27 || 239.171 || 31 || ==Interseptimal Region (M2-m3) (240-260 cents)== ||~ ratio ||~ cents value ||~ prime limit || || 54/47 || 240.358 || 47 || || 23/20 || 241.961 || 23 || || 38/33 || 244.240 || 19 || || 15/13 = 45/39 || 247.741 || 13 || || 52/45 || 250.304 || 13 || || 37/32 || 251.344 || 37 || || 22/19 || 253.805 || 19 || || 29/25 || 256.950 || 29 || || 36/31 || 258.874 || 31 || == == ==Minor Thirds (260-330 cents)== ===Small Minor Thirds (260-280 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 43/37 || 260.174 || 43 || || 50/43 || 261.110 || 43 || || 7/6 = 21/18 = 35/30 || 266.871 || 7 || || 48/41 || 272.893 || 41 || || 41/35 || 273.923 || 41 || || 34/29 || 275.378 || 29 || || 27/23 || 277.591 || 23 || || 47/40 || 279.193 || 47 || ===Middle Minor Thirds (280-300 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 20/17 || 281.358 || 17 || || 33/28 || 284.447 || 11 || || 46/39 || 285.792 || 23 || || 13/11 = 39/33 || 289.210 || 13 || || 45/38 || 292.711 || 19 || || 32/27 || 294.135 || 3 || || 19/16 || 297.513 || 19 || || 44/37 || 299.974 || 37 || ===Large Minor Thirds (300-330 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 25/21 || 301.847 || 7 || || 56/47 || 303.319 || 47 || || 31/26 || 304.508 || 31 || || 37/31 || 306.308 || 37 || || 43/36 || 307.608 || 43 || || 6/5 = 18/15 = 30/25 = 42/35 = 54/45 || 315.641 || 5 || || 47/39 || 323.024 || 47 || || 41/34 || 324.107 || 41 || || 35/29 || 325.562 || 29 || || 29/24 || 327.622 || 29 || || 52/43 || 329.010 || 43 || == == ==Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)== ===Small Central Thirds (330-342 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 23/19 || 330.761 || 23 || || 40/33 || 333.041 || 11 || || 17/14 || 336.130 || 17 || || 45/37 || 338.880 || 37 || || 28/23 || 340.552 || 23 || ===Middle Central Thirds (342-360 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 39/32 || 342.483 || 13 || || 50/41 || 343.565 || 41 || || 11/9 = 33/27 || 347.408 || 11 || || 38/31 || 352.477 || 31 || || 27/22 || 354.547 || 11 || || 43/35 || 356.378 || 43 || || 16/13 = 48/39 || 359.472 || 13 || ===Large Central Thirds (360-372 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 37/30 || 363.075 || 37 || || 58/47 || 364.071 || 47 || || 21/17 || 365.825 || 17 || || 47/38 || 367.994 || 47 || || 26/21 || 369.747 || 13 || ==Major Thirds (372-440 cents)== ===Small Major Thirds (372-400 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 31/25 || 372.408 || 31 || || 36/29 || 374.333 || 29 || || 41/33 || 375.789 || 41 || || 46/37 || 376.930 || 37 || || 56/45 || 378.602 || 7 || || 5/4 = 15/12 = 25/20 = 35/28 = 45/36 || 386.314 || 5 || || 54/43 || 394.347 || 43 || || 44/35 || 396.178 || 11 || || 39/31 || 397.447 || 31 || || 34/27 || 399.090 || 17 || ===Middle Major Thirds (400-423 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 29/23 || 401.303 || 29 || || 24/19 || 404.442 || 19 || || 43/34 || 406.562 || 43 || || 19/15 || 409.244 || 19 || || 52/41 || 411.465 || 41 || || 33/26 || 412.745 || 13 || || 47/37 || 414.163 || 47 || || 14/11 = 42/33 || 417.508 || 11 || || 37/29 || 421.767 || 37 || || 60/47 || 422.762 || 47 || ===Large Major Thirds (423-440 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 23/18 || 424.364 || 23 || || 32/25 || 427.373 || 5 || || 41/32 || 429.062 || 41 || || 50/39 || 430.145 || 13 || || 9/7 = 27/21 = 45/35 || 435.084 || 7 || || 58/45 || 439.353 || 29 || ==Interseptimal Region (M3-4) (440-468 cents)== ||~ ratio ||~ cents value ||~ prime limit || || 40/31 || 441.278 || 31 || || 31/24 || 443.081 || 31 || || 22/17 || 446.363 || 17 || || 35/27 || 449.275 || 7 || || 48/37 || 450.611 || 37 || || 13/10 = 39/30 || 454.214 || 13 || || 56/43 || 457.308 || 43 || || 43/33 || 458.245 || 43 || || 30/23 || 459.994 || 23 || || 47/36 || 461.597 || 47 || || 17/13 || 464.428 || 17 || || 38/29 || 467.936 || 29 || ==Perfect Fourths (468-528 cents)== ===Small Perfect Fourths (468-491 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 21/16 || 470.781 || 7 || || 46/35 || 473.135 || 23 || || 25/19 || 475.114 || 19 || || 54/41 || 476.803 || 41 || || 29/22 || 478.259 || 29 || || 62/47 || 479.529 || 47 || || 33/25 || 480.646 || 11 || || 37/28 || 482.518 || 37 || || 41/31 || 484.027 || 41 || || 45/34 || 485.268 || 17 || ===Middle Perfect Fourths (491-505 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 4/3 = 12/9 = 20/15 = 36/27 = 36/27 = 44/33 = 52/39 = 60/45 || 498.045 || 3 || ===Large Perfect Fourths (505-528 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 47/35 || 510.367 || 47 || || 43/32 || 511.518 || 43 || || 39/29 || 512.905 || 29 || || 35/26 || 514.612 || 13 || || 31/23 || 516.761 || 31 || || 58/43 || 518.059 || 43 || || 27/20 || 519.551 || 5 || || 50/37 || 521.283 || 37 || || 23/17 || 523.319 || 23 || || 42/31 || 525.745 || 31 || ==Superfourths (528-560 cents)== ||~ ratio ||~ cents value ||~ prime limit || || 19/14 || 528.687 || 19 || || 34/25 || 532.328 || 17 || || 64/47 || 534.493 || 47 || || 15/11 = 45/33 || 536.951 || 11 || || 56/41 || 539.764 || 41 || || 41/30 || 540.794 || 41 || || 26/19 || 543.015 || 19 || || 37/27 || 545.479 || 37 || || 48/35 || 546.815 || 7 || || 11/8 = 33/24 || 551.318 || 11 || || 62/45 || 554.812 || 31 || || 40/29 || 556.737 || 29 || || 29/21 || 558.796 || 29 || || 47/34 || 560.551 || 47 || ==Tritonic Region (560-640 cents)== ===Small Tritones (560-577 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 18/13 = 54/39 || 563.382 || 13 || || 43/31 || 566.382 || 43 || || 25/18 || 568.717 || 5 || || 32/23 || 571.726 || 23 || || 39/28 || 573.657 || 13 || || 46/33 || 575.001 || 23 || || 60/43 || 576.751 || 43 || ===Middle Tritones (577-623 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 7/5 = 21/15 = 35/25 || 582.512 || 7 || || 66/47 || 587.766 || 47 || || 52/37 || 589.184 || 37 || || 45/32 || 590.224 || 5 || || 38/27 || 591.648 || 19 || || 31/22 || 593.718 || 31 || || 24/17 || 597.000 || 17 || || 41/29 || 599.485 || 41 || || 58/41 || 600.515 || 41 || || 17/12 || 603.000 || 17 || || 44/31 || 606.282 || 31 || || 27/19 || 608.352 || 19 || || 64/45 || 609.776 || 5 || || 37/26 || 610.816 || 37 || || 47/33 || 612.234 || 47 || || 10/7 = 30/21 = 50/35 || 617.488 || 7 || ===Large Tritones (623-640 cents)=== ||~ ratio ||~ cents value ||~ prime limit || || 43/30 || 623.249 || 43 || || 33/23 || 624.999 || 23 || || 56/39 || 626.343 || 13 || || 23/16 || 628.274 || 23 || || 36/25 || 631.283 || 5 || || 62/43 || 633.518 || 43 || || 13/9 = 39/27 || 636.618 || 13 || || 68/47 || 639.449 || 47 || ...to be continued...
Original HTML content:
<html><head><title>47-limit</title></head><body>The 47-limit. Whoa.<br />
<br />
Here is a list of the intervals within the octave belonging to the 47-odd limit -- that is, intervals between 1/1 and 2/1 which contain no odd numbers greater than 47. It is organized by <a class="wiki_link" href="/interval%20category">interval category</a> according to the Schulter System outlined in <a class="wiki_link_ext" href="http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt" rel="nofollow">Regions of the Interval Spectrum</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Pure Unison (0 cents)"></a><!-- ws:end:WikiTextHeadingRule:0 -->Pure Unison (0 cents)</h2>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
</tr>
<tr>
<td>1/1<br />
</td>
<td>0<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Commas (0-30 cents)"></a><!-- ws:end:WikiTextHeadingRule:2 -->Commas (0-30 cents)</h2>
None within the 47-odd limit.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x-Dieses (30-60 cents)"></a><!-- ws:end:WikiTextHeadingRule:4 -->Dieses (30-60 cents)</h2>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>48/47<br />
</td>
<td>36.448<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>47/46<br />
</td>
<td>37.232<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>46/45<br />
</td>
<td>38.051<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>45/44<br />
</td>
<td>38.906<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>44/43<br />
</td>
<td>39.800<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>43/42<br />
</td>
<td>40.737<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>42/41<br />
</td>
<td>41.719<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>41/40<br />
</td>
<td>42.749<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>40/39<br />
</td>
<td>43.831<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>39/38<br />
</td>
<td>44.970<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>38/37<br />
</td>
<td>46/169<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>37/36<br />
</td>
<td>47.434<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>36/35<br />
</td>
<td>48.770<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>35/34<br />
</td>
<td>50.184<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>34/33<br />
</td>
<td>51.682<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>33/32<br />
</td>
<td>53.273<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>32/31<br />
</td>
<td>54.964<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>31/30<br />
</td>
<td>56.767<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>30/29<br />
</td>
<td>58.692<br />
</td>
<td>29<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x-Minor Seconds (60-125 cents)"></a><!-- ws:end:WikiTextHeadingRule:6 -->Minor Seconds (60-125 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="x-Minor Seconds (60-125 cents)-Small Minor Seconds (60-80 cents)"></a><!-- ws:end:WikiTextHeadingRule:8 -->Small Minor Seconds (60-80 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>29/28<br />
</td>
<td>60.751<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>28/27<br />
</td>
<td>62.961<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>27/26<br />
</td>
<td>65.337<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>26/25<br />
</td>
<td>67.900<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>25/24<br />
</td>
<td>70.672<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>24/23<br />
</td>
<td>73.681<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>47/45<br />
</td>
<td>75.283<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>23/22<br />
</td>
<td>76.956<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>45/43<br />
</td>
<td>78.706<br />
</td>
<td>43<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x-Minor Seconds (60-125 cents)-Middle Minor Seconds (80-100 cents)"></a><!-- ws:end:WikiTextHeadingRule:10 -->Middle Minor Seconds (80-100 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>22/21<br />
</td>
<td>80.537<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>43/41<br />
</td>
<td>82.455<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>21/20<br />
</td>
<td>84.467<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>41/39<br />
</td>
<td>86.580<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>20/19<br />
</td>
<td>88.801<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>39/37<br />
</td>
<td>91.139<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>19/18<br />
</td>
<td>93.603<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>37/35<br />
</td>
<td>96.204<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>18/17<br />
</td>
<td>98.955<br />
</td>
<td>17<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:12:<h3> --><h3 id="toc6"><a name="x-Minor Seconds (60-125 cents)-Large Minor Seconds (100-125 cents)"></a><!-- ws:end:WikiTextHeadingRule:12 -->Large Minor Seconds (100-125 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>35/33<br />
</td>
<td>101.867<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>17/16<br />
</td>
<td>104.955<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>50/47<br />
</td>
<td>107.121<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>33/31<br />
</td>
<td>108.237<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>16/15 = 48/45<br />
</td>
<td>111.731<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>47/44<br />
</td>
<td>114.189<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>31/29<br />
</td>
<td>115.458<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>46/43<br />
</td>
<td>116.757<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>15/14 = 45/42<br />
</td>
<td>119.443<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>44/41<br />
</td>
<td>122.256<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>29/27<br />
</td>
<td>123.712<br />
</td>
<td>29<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)"></a><!-- ws:end:WikiTextHeadingRule:14 -->Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:16:<h3> --><h3 id="toc8"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Small Central Seconds (125-170 cents)"></a><!-- ws:end:WikiTextHeadingRule:16 -->Small Central Seconds (125-170 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>43/40<br />
</td>
<td>125.204<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>14/13 = 42/39<br />
</td>
<td>128.298<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>41/38<br />
</td>
<td>131.549<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>27/25<br />
</td>
<td>133.238<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>40/37<br />
</td>
<td>134.970<br />
</td>
<td>37<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:18:<h3> --><h3 id="toc9"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Middle Central Seconds (135-160 cents)"></a><!-- ws:end:WikiTextHeadingRule:18 -->Middle Central Seconds (135-160 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>13/12 = 39/36<br />
</td>
<td>138.573<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>38/35<br />
</td>
<td>142.373<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>25/23<br />
</td>
<td>144.353<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>37/34<br />
</td>
<td>146.389<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>12/11 = 36/33<br />
</td>
<td>150.637<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>47/43<br />
</td>
<td>153.989<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>35/32<br />
</td>
<td>155.140<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>23/21<br />
</td>
<td>157.493<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>34/31<br />
</td>
<td>159.920<br />
</td>
<td>31<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:20:<h3> --><h3 id="toc10"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)"></a><!-- ws:end:WikiTextHeadingRule:20 -->Large Central Seconds (160-170 cents)</h3>
<!-- ws:start:WikiTextHeadingRule:22:<h4> --><h4 id="toc11"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-Beginning of Equable Heptatonic Region (160-182 cents)"></a><!-- ws:end:WikiTextHeadingRule:22 -->Beginning of Equable Heptatonic Region (160-182 cents)</h4>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>45/41<br />
</td>
<td>161.161<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>11/10 = 33/30<br />
</td>
<td>165.004<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>43/39<br />
</td>
<td>169.035<br />
</td>
<td>43<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:24:<h4> --><h4 id="toc12"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Large Central Seconds Region, continuation of Equable Heptatonic Region"></a><!-- ws:end:WikiTextHeadingRule:24 -->End of Large Central Seconds Region, continuation of Equable Heptatonic Region</h4>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>32/29<br />
</td>
<td>170.423<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>21/19<br />
</td>
<td>173.268<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>52/47<br />
</td>
<td>175.021<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>31/28<br />
</td>
<td>176.210<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>41/37<br />
</td>
<td>177.718<br />
</td>
<td>41<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:26:<h4> --><h4 id="toc13"><a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Equable Heptatonic Region."></a><!-- ws:end:WikiTextHeadingRule:26 -->End of Equable Heptatonic Region.</h4>
<br />
<!-- ws:start:WikiTextHeadingRule:28:<h2> --><h2 id="toc14"><a name="x-Major Seconds (180-240 cents)"></a><!-- ws:end:WikiTextHeadingRule:28 -->Major Seconds (180-240 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:30:<h3> --><h3 id="toc15"><a name="x-Major Seconds (180-240 cents)-Small Major Seconds (180-200 cents)"></a><!-- ws:end:WikiTextHeadingRule:30 -->Small Major Seconds (180-200 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>10/9 = 30/27 = 50/45<br />
</td>
<td>182.404<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>39/35<br />
</td>
<td>187.343<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>29/26<br />
</td>
<td>189.050<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>19/17<br />
</td>
<td>192.558<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>47/42<br />
</td>
<td>194.726<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>28/25<br />
</td>
<td>196.198<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>37/33<br />
</td>
<td>198.071<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>46/41<br />
</td>
<td>199.212<br />
</td>
<td>41<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:32:<h3> --><h3 id="toc16"><a name="x-Major Seconds (180-240 cents)-Middle Major Seconds (200-220 cents)"></a><!-- ws:end:WikiTextHeadingRule:32 -->Middle Major Seconds (200-220 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>9/8 = 27/24 = 45/40<br />
</td>
<td>203.910<br />
</td>
<td>3<br />
</td>
</tr>
<tr>
<td>44/39<br />
</td>
<td>208.835<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>35/31<br />
</td>
<td>210.104<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>26/23<br />
</td>
<td>212.253<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>43/38<br />
</td>
<td>214.005<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>17/15<br />
</td>
<td>216.687<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>42/37<br />
</td>
<td>219.437<br />
</td>
<td>37<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:34:<h3> --><h3 id="toc17"><a name="x-Major Seconds (180-240 cents)-Large Major Seconds (220-240 cents)"></a><!-- ws:end:WikiTextHeadingRule:34 -->Large Major Seconds (220-240 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>25/22<br />
</td>
<td>221.309<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>33/29<br />
</td>
<td>223.696<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>41/36<br />
</td>
<td>225.152<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>8/7 = 24/21 = 40/35<br />
</td>
<td>231.174<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>47/41<br />
</td>
<td>236.444<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>39/34<br />
</td>
<td>237.527<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>31/27<br />
</td>
<td>239.171<br />
</td>
<td>31<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:36:<h2> --><h2 id="toc18"><a name="x-Interseptimal Region (M2-m3) (240-260 cents)"></a><!-- ws:end:WikiTextHeadingRule:36 -->Interseptimal Region (M2-m3) (240-260 cents)</h2>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>54/47<br />
</td>
<td>240.358<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>23/20<br />
</td>
<td>241.961<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>38/33<br />
</td>
<td>244.240<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>15/13 = 45/39<br />
</td>
<td>247.741<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>52/45<br />
</td>
<td>250.304<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>37/32<br />
</td>
<td>251.344<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>22/19<br />
</td>
<td>253.805<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>29/25<br />
</td>
<td>256.950<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>36/31<br />
</td>
<td>258.874<br />
</td>
<td>31<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><!-- ws:end:WikiTextHeadingRule:38 --> </h2>
<!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="x-Minor Thirds (260-330 cents)"></a><!-- ws:end:WikiTextHeadingRule:40 -->Minor Thirds (260-330 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:42:<h3> --><h3 id="toc21"><a name="x-Minor Thirds (260-330 cents)-Small Minor Thirds (260-280 cents)"></a><!-- ws:end:WikiTextHeadingRule:42 -->Small Minor Thirds (260-280 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>43/37<br />
</td>
<td>260.174<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>50/43<br />
</td>
<td>261.110<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>7/6 = 21/18 = 35/30<br />
</td>
<td>266.871<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>48/41<br />
</td>
<td>272.893<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>41/35<br />
</td>
<td>273.923<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>34/29<br />
</td>
<td>275.378<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>27/23<br />
</td>
<td>277.591<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>47/40<br />
</td>
<td>279.193<br />
</td>
<td>47<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:44:<h3> --><h3 id="toc22"><a name="x-Minor Thirds (260-330 cents)-Middle Minor Thirds (280-300 cents)"></a><!-- ws:end:WikiTextHeadingRule:44 -->Middle Minor Thirds (280-300 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>20/17<br />
</td>
<td>281.358<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>33/28<br />
</td>
<td>284.447<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>46/39<br />
</td>
<td>285.792<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>13/11 = 39/33<br />
</td>
<td>289.210<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>45/38<br />
</td>
<td>292.711<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>32/27<br />
</td>
<td>294.135<br />
</td>
<td>3<br />
</td>
</tr>
<tr>
<td>19/16<br />
</td>
<td>297.513<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>44/37<br />
</td>
<td>299.974<br />
</td>
<td>37<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:46:<h3> --><h3 id="toc23"><a name="x-Minor Thirds (260-330 cents)-Large Minor Thirds (300-330 cents)"></a><!-- ws:end:WikiTextHeadingRule:46 -->Large Minor Thirds (300-330 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>25/21<br />
</td>
<td>301.847<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>56/47<br />
</td>
<td>303.319<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>31/26<br />
</td>
<td>304.508<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>37/31<br />
</td>
<td>306.308<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>43/36<br />
</td>
<td>307.608<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>6/5 = 18/15 = 30/25 = 42/35 = 54/45<br />
</td>
<td>315.641<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>47/39<br />
</td>
<td>323.024<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>41/34<br />
</td>
<td>324.107<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>35/29<br />
</td>
<td>325.562<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>29/24<br />
</td>
<td>327.622<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>52/43<br />
</td>
<td>329.010<br />
</td>
<td>43<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:48:<h2> --><h2 id="toc24"><!-- ws:end:WikiTextHeadingRule:48 --> </h2>
<!-- ws:start:WikiTextHeadingRule:50:<h2> --><h2 id="toc25"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)"></a><!-- ws:end:WikiTextHeadingRule:50 -->Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:52:<h3> --><h3 id="toc26"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Small Central Thirds (330-342 cents)"></a><!-- ws:end:WikiTextHeadingRule:52 -->Small Central Thirds (330-342 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>23/19<br />
</td>
<td>330.761<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>40/33<br />
</td>
<td>333.041<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>17/14<br />
</td>
<td>336.130<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>45/37<br />
</td>
<td>338.880<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>28/23<br />
</td>
<td>340.552<br />
</td>
<td>23<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:54:<h3> --><h3 id="toc27"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Middle Central Thirds (342-360 cents)"></a><!-- ws:end:WikiTextHeadingRule:54 -->Middle Central Thirds (342-360 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>39/32<br />
</td>
<td>342.483<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>50/41<br />
</td>
<td>343.565<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>11/9 = 33/27<br />
</td>
<td>347.408<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>38/31<br />
</td>
<td>352.477<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>27/22<br />
</td>
<td>354.547<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>43/35<br />
</td>
<td>356.378<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>16/13 = 48/39<br />
</td>
<td>359.472<br />
</td>
<td>13<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:56:<h3> --><h3 id="toc28"><a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Large Central Thirds (360-372 cents)"></a><!-- ws:end:WikiTextHeadingRule:56 -->Large Central Thirds (360-372 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>37/30<br />
</td>
<td>363.075<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>58/47<br />
</td>
<td>364.071<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>21/17<br />
</td>
<td>365.825<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>47/38<br />
</td>
<td>367.994<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>26/21<br />
</td>
<td>369.747<br />
</td>
<td>13<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:58:<h2> --><h2 id="toc29"><a name="x-Major Thirds (372-440 cents)"></a><!-- ws:end:WikiTextHeadingRule:58 -->Major Thirds (372-440 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:60:<h3> --><h3 id="toc30"><a name="x-Major Thirds (372-440 cents)-Small Major Thirds (372-400 cents)"></a><!-- ws:end:WikiTextHeadingRule:60 -->Small Major Thirds (372-400 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>31/25<br />
</td>
<td>372.408<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>36/29<br />
</td>
<td>374.333<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>41/33<br />
</td>
<td>375.789<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>46/37<br />
</td>
<td>376.930<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>56/45<br />
</td>
<td>378.602<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>5/4 = 15/12 = 25/20 = 35/28 = 45/36<br />
</td>
<td>386.314<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>54/43<br />
</td>
<td>394.347<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>44/35<br />
</td>
<td>396.178<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>39/31<br />
</td>
<td>397.447<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>34/27<br />
</td>
<td>399.090<br />
</td>
<td>17<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:62:<h3> --><h3 id="toc31"><a name="x-Major Thirds (372-440 cents)-Middle Major Thirds (400-423 cents)"></a><!-- ws:end:WikiTextHeadingRule:62 -->Middle Major Thirds (400-423 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>29/23<br />
</td>
<td>401.303<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>24/19<br />
</td>
<td>404.442<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>43/34<br />
</td>
<td>406.562<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>19/15<br />
</td>
<td>409.244<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>52/41<br />
</td>
<td>411.465<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>33/26<br />
</td>
<td>412.745<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>47/37<br />
</td>
<td>414.163<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>14/11 = 42/33<br />
</td>
<td>417.508<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>37/29<br />
</td>
<td>421.767<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>60/47<br />
</td>
<td>422.762<br />
</td>
<td>47<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:64:<h3> --><h3 id="toc32"><a name="x-Major Thirds (372-440 cents)-Large Major Thirds (423-440 cents)"></a><!-- ws:end:WikiTextHeadingRule:64 -->Large Major Thirds (423-440 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>23/18<br />
</td>
<td>424.364<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>32/25<br />
</td>
<td>427.373<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>41/32<br />
</td>
<td>429.062<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>50/39<br />
</td>
<td>430.145<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>9/7 = 27/21 = 45/35<br />
</td>
<td>435.084<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>58/45<br />
</td>
<td>439.353<br />
</td>
<td>29<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:66:<h2> --><h2 id="toc33"><a name="x-Interseptimal Region (M3-4) (440-468 cents)"></a><!-- ws:end:WikiTextHeadingRule:66 -->Interseptimal Region (M3-4) (440-468 cents)</h2>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>40/31<br />
</td>
<td>441.278<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>31/24<br />
</td>
<td>443.081<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>22/17<br />
</td>
<td>446.363<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>35/27<br />
</td>
<td>449.275<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>48/37<br />
</td>
<td>450.611<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>13/10 = 39/30<br />
</td>
<td>454.214<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>56/43<br />
</td>
<td>457.308<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>43/33<br />
</td>
<td>458.245<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>30/23<br />
</td>
<td>459.994<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>47/36<br />
</td>
<td>461.597<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>17/13<br />
</td>
<td>464.428<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>38/29<br />
</td>
<td>467.936<br />
</td>
<td>29<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:68:<h2> --><h2 id="toc34"><a name="x-Perfect Fourths (468-528 cents)"></a><!-- ws:end:WikiTextHeadingRule:68 -->Perfect Fourths (468-528 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:70:<h3> --><h3 id="toc35"><a name="x-Perfect Fourths (468-528 cents)-Small Perfect Fourths (468-491 cents)"></a><!-- ws:end:WikiTextHeadingRule:70 -->Small Perfect Fourths (468-491 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>21/16<br />
</td>
<td>470.781<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>46/35<br />
</td>
<td>473.135<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>25/19<br />
</td>
<td>475.114<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>54/41<br />
</td>
<td>476.803<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>29/22<br />
</td>
<td>478.259<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>62/47<br />
</td>
<td>479.529<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>33/25<br />
</td>
<td>480.646<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>37/28<br />
</td>
<td>482.518<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>41/31<br />
</td>
<td>484.027<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>45/34<br />
</td>
<td>485.268<br />
</td>
<td>17<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:72:<h3> --><h3 id="toc36"><a name="x-Perfect Fourths (468-528 cents)-Middle Perfect Fourths (491-505 cents)"></a><!-- ws:end:WikiTextHeadingRule:72 -->Middle Perfect Fourths (491-505 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>4/3 = 12/9 = 20/15 = 36/27 = 36/27 = 44/33 = 52/39 = 60/45<br />
</td>
<td>498.045<br />
</td>
<td>3<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:74:<h3> --><h3 id="toc37"><a name="x-Perfect Fourths (468-528 cents)-Large Perfect Fourths (505-528 cents)"></a><!-- ws:end:WikiTextHeadingRule:74 -->Large Perfect Fourths (505-528 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>47/35<br />
</td>
<td>510.367<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>43/32<br />
</td>
<td>511.518<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>39/29<br />
</td>
<td>512.905<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>35/26<br />
</td>
<td>514.612<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>31/23<br />
</td>
<td>516.761<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>58/43<br />
</td>
<td>518.059<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>27/20<br />
</td>
<td>519.551<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>50/37<br />
</td>
<td>521.283<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>23/17<br />
</td>
<td>523.319<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>42/31<br />
</td>
<td>525.745<br />
</td>
<td>31<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:76:<h2> --><h2 id="toc38"><a name="x-Superfourths (528-560 cents)"></a><!-- ws:end:WikiTextHeadingRule:76 -->Superfourths (528-560 cents)</h2>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>19/14<br />
</td>
<td>528.687<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>34/25<br />
</td>
<td>532.328<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>64/47<br />
</td>
<td>534.493<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>15/11 = 45/33<br />
</td>
<td>536.951<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>56/41<br />
</td>
<td>539.764<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>41/30<br />
</td>
<td>540.794<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>26/19<br />
</td>
<td>543.015<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>37/27<br />
</td>
<td>545.479<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>48/35<br />
</td>
<td>546.815<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>11/8 = 33/24<br />
</td>
<td>551.318<br />
</td>
<td>11<br />
</td>
</tr>
<tr>
<td>62/45<br />
</td>
<td>554.812<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>40/29<br />
</td>
<td>556.737<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>29/21<br />
</td>
<td>558.796<br />
</td>
<td>29<br />
</td>
</tr>
<tr>
<td>47/34<br />
</td>
<td>560.551<br />
</td>
<td>47<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:78:<h2> --><h2 id="toc39"><a name="x-Tritonic Region (560-640 cents)"></a><!-- ws:end:WikiTextHeadingRule:78 -->Tritonic Region (560-640 cents)</h2>
<!-- ws:start:WikiTextHeadingRule:80:<h3> --><h3 id="toc40"><a name="x-Tritonic Region (560-640 cents)-Small Tritones (560-577 cents)"></a><!-- ws:end:WikiTextHeadingRule:80 -->Small Tritones (560-577 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>18/13 = 54/39<br />
</td>
<td>563.382<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>43/31<br />
</td>
<td>566.382<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>25/18<br />
</td>
<td>568.717<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>32/23<br />
</td>
<td>571.726<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>39/28<br />
</td>
<td>573.657<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>46/33<br />
</td>
<td>575.001<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>60/43<br />
</td>
<td>576.751<br />
</td>
<td>43<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:82:<h3> --><h3 id="toc41"><a name="x-Tritonic Region (560-640 cents)-Middle Tritones (577-623 cents)"></a><!-- ws:end:WikiTextHeadingRule:82 -->Middle Tritones (577-623 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>7/5 = 21/15 = 35/25<br />
</td>
<td>582.512<br />
</td>
<td>7<br />
</td>
</tr>
<tr>
<td>66/47<br />
</td>
<td>587.766<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>52/37<br />
</td>
<td>589.184<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>45/32<br />
</td>
<td>590.224<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>38/27<br />
</td>
<td>591.648<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>31/22<br />
</td>
<td>593.718<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>24/17<br />
</td>
<td>597.000<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>41/29<br />
</td>
<td>599.485<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>58/41<br />
</td>
<td>600.515<br />
</td>
<td>41<br />
</td>
</tr>
<tr>
<td>17/12<br />
</td>
<td>603.000<br />
</td>
<td>17<br />
</td>
</tr>
<tr>
<td>44/31<br />
</td>
<td>606.282<br />
</td>
<td>31<br />
</td>
</tr>
<tr>
<td>27/19<br />
</td>
<td>608.352<br />
</td>
<td>19<br />
</td>
</tr>
<tr>
<td>64/45<br />
</td>
<td>609.776<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>37/26<br />
</td>
<td>610.816<br />
</td>
<td>37<br />
</td>
</tr>
<tr>
<td>47/33<br />
</td>
<td>612.234<br />
</td>
<td>47<br />
</td>
</tr>
<tr>
<td>10/7 = 30/21 = 50/35<br />
</td>
<td>617.488<br />
</td>
<td>7<br />
</td>
</tr>
</table>
<!-- ws:start:WikiTextHeadingRule:84:<h3> --><h3 id="toc42"><a name="x-Tritonic Region (560-640 cents)-Large Tritones (623-640 cents)"></a><!-- ws:end:WikiTextHeadingRule:84 -->Large Tritones (623-640 cents)</h3>
<table class="wiki_table">
<tr>
<th>ratio<br />
</th>
<th>cents value<br />
</th>
<th>prime limit<br />
</th>
</tr>
<tr>
<td>43/30<br />
</td>
<td>623.249<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>33/23<br />
</td>
<td>624.999<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>56/39<br />
</td>
<td>626.343<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>23/16<br />
</td>
<td>628.274<br />
</td>
<td>23<br />
</td>
</tr>
<tr>
<td>36/25<br />
</td>
<td>631.283<br />
</td>
<td>5<br />
</td>
</tr>
<tr>
<td>62/43<br />
</td>
<td>633.518<br />
</td>
<td>43<br />
</td>
</tr>
<tr>
<td>13/9 = 39/27<br />
</td>
<td>636.618<br />
</td>
<td>13<br />
</td>
</tr>
<tr>
<td>68/47<br />
</td>
<td>639.449<br />
</td>
<td>47<br />
</td>
</tr>
</table>
<br />
<br />
...to be continued...</body></html>