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 2013-10-25 18:19:31 UTC.
- The original revision id was 463187734.
- The revision comment was:
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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 || ...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>
<br />
...to be continued...</body></html>