Wikispaces>PiotrGrochowski |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''large comma''' is a [[comma]] whose size is approximately 100 cents and larger. As intervals, these commas are steps or even skips. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-03 06:59:35 UTC</tt>.<br>
| |
| : The original revision id was <tt>590996492</tt>.<br>
| |
| : The revision comment was: <tt>Not a large comma</tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">==3-limit commas==
| |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| |
| || whole tone || [[9_8|9 / 8]] || | -3 2 > || 203.910 ||
| |
| || apotome || [[2187_2048|2187 / 2048]] || | -11 7 > || 113.685 ||
| |
| || 19-comma || || | -30 19 > || 137.145 ||
| |
| || [[31 comma temperaments|31-comma]] || || | -49 31 > || 160.605 ||
| |
| || 43-comma || || | -68 43 > || 184.065 ||
| |
| || 22-comma || || | 35 -22 > || 156.990 ||
| |
| || 46-comma || || | 73 -46 > || 110.070 ||
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| || 63-comma || || | 100 -63 > || 176.835 ||
| |
| || 77-comma || || | 122 -77 > || 176.815 ||
| |
|
| |
|
| ==5-limit commas==
| | For commas under 100 cents, see [[Medium comma]] for commas in between 30 and 100 cents or [[Small comma]] for commas under 30 cents. For commas under 3.5 cents, see [[Unnoticeable comma]]. |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| |
| || 5-cycle major second, hexadecathird comma || || | -37 0 16 > || 181.019 ||
| |
| || acute limma || || | -44 0 19 > || 139.961 ||
| |
| || meantone Integer cents comma || || | -1393 0 600 > || 188.228 ||
| |
| || 31-15-comma || || | 121 -31 -31 > || 136.330 ||
| |
| || 87-15-comma || || | 340 -87 -87 > || 120.622 ||
| |
| || enipucrop || 1125 / 1024 || | -10 2 3 > || 162.851 ||
| |
| || supersharp || 800 / 729 || | 5 -6 2 > || 160.897 ||
| |
| || gorgo || 2187 / 2000 || | -4 7 -3 > || 154.744 ||
| |
| || large limma || [[27_25|27 / 25]] || | 0 3 -1> || 133.238 ||
| |
| || lemba || 140625 / 131072 || | -17 2 6 > || 121.792 ||
| |
| || sixix || 3125 / 2916 || | -2 -6 5 > || 119.839 ||
| |
| || diesma || 10460353203 / 9765625000 || | -3 21 -13 > || 118.977 ||
| |
| || comic || 5120000 / 4782969 || | 13 -14 4 > || 117.885 ||
| |
| || just diatonic semitone || [[16_15|16 / 15]] || | 4 -1 -1> || 111.731 ||
| |
| || beatles || 524288 / 492075 || | 19 -9 -2 > || 109.778 ||
| |
| || wronecki || 531441 / 500000 || | -5 12 -6 > || 105.578 ||
| |
| || wesley || 78125 / 73728 || | -13 -2 7 > || 100.286 ||
| |
| || 11-3/5-comma || 48828125 / 45339632 || | -8 -11 11 > || 127.946 ||
| |
| || 27-3/5-comma || || | 20 27 -27 > || 122.315 ||
| |
| || 31-3/5-comma || || | 23 31 -31 > || 184.880 ||
| |
| || Keemun Integer cents comma || || | 221 300 -300 > || 107.614 ||
| |
|
| |
|
| ==7-limit commas==
| | Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is [[tempered out]]. |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| |
| || hexatone comma, 6-7-comma || 131072 / 117649 || | 17 0 0 -6 > || 187.045 ||
| |
| || hendecatone comma, 11-7-comma || 2147483648 / 1977326743 || | 31 0 0 -11 > || 142.915 ||
| |
| || 41-7-comma || || | -115 0 0 41 > || 121.862 ||
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| || 46-7-comma || || | -129 0 0 46 > || 165.992 ||
| |
| || 25-7/5-comma || || | -12 0 -25 25 > || 162.805 ||
| |
| || 27-7/5-comma || || | -13 0 -27 27 > || 127.829 ||
| |
| || 41-7/5-comma || || | 21 0 41 -41 > || 117.000 ||
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| || 43-7/5-comma || || | 22 0 43 -43 > || 151.976 ||
| |
| || 45-7/5-comma || || | 23 0 45 -45 > || 186.951 ||
| |
| || 8-21-comma || || | -35 8 0 8 > || 166.247 ||
| |
| || 13-21-comma || || | -57 13 0 13 > || 120.152 ||
| |
| || 55-35-comma || || | -282 0 55 55 > || 132.679 ||
| |
| || 63-35-comma || || | -323 0 63 63 > || 173.796 ||
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|
| |
|
| ==11-limit commas==
| | The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler. |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| |
| || enipucrop, 9-11-comma</span || 2357947691 / 2147483648]] || | -31 0 0 0 9 > || 161.8615 ||
| |
| || 11-cycle major second prote, 33-11-comma || || | -114 0 0 0 33 > || 193.492 ||
| |
|
| |
|
| ==13-limit commas== | | == Disputed status == |
| ||~ name(s) ||~ ratio ||~ monzo ||~ cents ||
| | To varying degrees, the status of each of the commas on this page as "a comma" is disputed. Due to their large size in [[cents]], many of these commas lead to high-[[damage]] temperaments when tempered out. Which calls into question whether they can actually be used as commas. |
| || heptasixth comma, 13-cycle secor || 67108864 / 62748517 || | 26 0 0 0 0 0 -7 > || 116.306 ||
| |
| || heptadecasixth comma, neutral thirteenth comma || || | 63 0 0 0 0 0 -17 > || 111.030 ||
| |
| || 13-cycle neutral second || || | -196 0 0 0 0 0 53 > || 147.966 ||</pre></div>
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| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Large commas</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->3-limit commas</h2>
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|
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|
| |
|
| <table class="wiki_table">
| | Those which have a highly complex monzo and ratio tend to distribute their error more thinly across a wide number of [[JI]] intervals, making them more 'comma-like' than the others on this page. Some still dispute this due to their perhaps limited ability to make [[comma pump]]s. However they are more widely accepted than the ones on this page with simpler monzos and ratios. |
| <tr>
| |
| <th>name(s)<br />
| |
| </th>
| |
| <th>ratio<br />
| |
| </th>
| |
| <th>monzo<br />
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| </th>
| |
| <th>cents<br />
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| </th>
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| </tr>
| |
| <tr>
| |
| <td>whole tone<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/9_8">9 / 8</a><br />
| |
| </td>
| |
| <td>| -3 2 &gt;<br />
| |
| </td>
| |
| <td>203.910<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>apotome<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/2187_2048">2187 / 2048</a><br />
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| </td>
| |
| <td>| -11 7 &gt;<br />
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| </td>
| |
| <td>113.685<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>| -30 19 &gt;<br />
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| </td>
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| <td>137.145<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><a class="wiki_link" href="/31%20comma%20temperaments">31-comma</a><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td>| -49 31 &gt;<br />
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| </td>
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| <td>160.605<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td>43-comma<br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>| -68 43 &gt;<br />
| |
| </td>
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| <td>184.065<br />
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| </td>
| |
| </tr>
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| <tr>
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| <td>22-comma<br />
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| </td>
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| <td><br />
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| </td>
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| <td>| 35 -22 &gt;<br />
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| </td>
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| <td>156.990<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td>46-comma<br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td>| 73 -46 &gt;<br />
| |
| </td>
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| <td>110.070<br />
| |
| </td>
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| </tr>
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| <tr>
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| <td>63-comma<br />
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| </td>
| |
| <td><br />
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| </td>
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| <td>| 100 -63 &gt;<br />
| |
| </td>
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| <td>176.835<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td>77-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>| 122 -77 &gt;<br />
| |
| </td>
| |
| <td>176.815<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == List of commas, by prime limit == |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:2 -->5-limit commas</h2>
| | ===[[3-limit commas]]=== |
|
| | {| class="wikitable" |
| | |- |
| | ! Name(s) |
| | ! colspan="2" |[[Color notation|Color Name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | |- |
| | | [[26-comma]] |
| | | Wa-26 |
| | | w-26 |
| | | 2541865828329 / 2199023255552 |
| | | {{monzo| -41 26 }} |
| | | 250.83 |
| | |- |
| | | 27-comma |
| | | Wa-27 |
| | | w-27 |
| | | 8796093022208 / 7625597484987 |
| | | {{monzo| 43 -27 }} |
| | | 247.21 |
| | |- |
| | | [[9/8|Pythagorean whole tone]] |
| | | Wa 2nd |
| | | w2 |
| | | 9 / 8 |
| | | {{monzo| -3 2 }} |
| | | 203.91 |
| | |- |
| | | 43-comma |
| | | Wa-43 |
| | | w-43 |
| | | |
| | | {{monzo| -68 43 }} |
| | | 184.065 |
| | |- |
| | | 63-comma |
| | | Wa-63 |
| | | w-63 |
| | | |
| | | {{monzo| 100 -63 }} |
| | | 176.835 |
| | |- |
| | | [[31st-octave temperaments|31-comma]] |
| | | Wa-31 |
| | | w-31 |
| | | 617673396283947 / <br>562949953421312 |
| | | {{monzo| -49 31 }} |
| | | 160.605 |
| | |- |
| | | 22-comma |
| | | Wa-22 |
| | | w-22 |
| | | 34359738368 / <br>31381059609 |
| | | {{monzo| 35 -22 }} |
| | | 156.99 |
| | |- |
| | | 19-comma |
| | | Wa-19 |
| | | w-19 |
| | | 1162261467 / 1073741824 |
| | | {{monzo| -30 19 }} |
| | | 137.145 |
| | |- |
| | | [[2187/2048|Apotome]] |
| | | Lawa |
| | | Lw1 |
| | | 2187 / 2048 |
| | | {{monzo| -11 7 }} |
| | | 113.685 |
| | |- |
| | | 46-comma |
| | | Wa-46 |
| | | w-46 |
| | | |
| | | {{monzo| 73 -46 }} |
| | | 110.07 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | ===[[5-limit commas]]=== |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | |- |
| </th>
| | ! Name(s) |
| <th>ratio<br />
| | ! colspan="2" |[[Color notation|Color Name]] |
| </th>
| | ! Ratio |
| <th>monzo<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>cents<br />
| | |- |
| </th>
| | | [[Shallowtone comma]] |
| </tr>
| | | Lalayobi |
| <tr>
| | | LLy1 |
| <td>5-cycle major second, hexadecathird comma<br />
| | | 295245 / 262144 |
| </td>
| | | {{monzo| -18 10 1 }} |
| <td><br />
| | | 205.864 |
| </td>
| | |- |
| <td>| -37 0 16 &gt;<br />
| | | Delorean |
| </td>
| | | Tribigu |
| <td>181.019<br />
| | | 6g3 |
| </td>
| | | 17496 / 15625 |
| </tr>
| | | {{monzo| 3 7 -6 }} |
| <tr>
| | | 195.803 |
| <td>acute limma<br />
| | |- |
| </td>
| | | 31-3/5-comma |
| <td><br />
| | | Thiwegu |
| </td>
| | | 31g7 |
| <td>| -44 0 19 &gt;<br />
| | | |
| </td>
| | | {{monzo| 23 31 -31 }} |
| <td>139.961<br />
| | | 184.88 |
| </td>
| | |- |
| </tr>
| | | [[10/9|Minor whole tone]], yo 2nd |
| <tr>
| | | Yo |
| <td>meantone Integer cents comma<br />
| | | y2 |
| </td>
| | | 10 / 9 |
| <td><br />
| | | {{monzo| 1 -2 1 }} |
| </td>
| | | 182.404 |
| <td>| -1393 0 600 &gt;<br />
| | |- |
| </td>
| | | 5-cycle major second, hexadecathird comma |
| <td>188.228<br />
| | | Lala-quadquadyo |
| </td>
| | | LL16y-4 |
| </tr>
| | | 152587890625 / <br>137438953472 |
| <tr>
| | | {{monzo| -37 0 16 }} |
| <td>31-15-comma<br />
| | | 181.019 |
| </td>
| | |- |
| <td><br />
| | | [[Nadir comma]] |
| </td>
| | | Lalatrigu |
| <td>| 121 -31 -31 &gt;<br />
| | | LL3g1 |
| </td>
| | | 1162261467 / 1048576000 |
| <td>136.330<br />
| | | {{monzo| -23 19 -3 }} |
| </td>
| | | 178.204 |
| </tr>
| | |- |
| <tr>
| | | |
| <td>87-15-comma<br />
| | | Legu |
| </td>
| | | 11g4 |
| <td><br />
| | | [[53747712 / 48828125]] |
| </td>
| | | {{monzo| 13 8 -11 }} |
| <td>| 340 -87 -87 &gt;<br />
| | | 166.189 |
| </td>
| | |- |
| <td>120.622<br />
| | | Enipucrop |
| </td>
| | | Latriyobi |
| </tr>
| | | L3y1 |
| <tr>
| | | 1125 / 1024 |
| <td>enipucrop<br />
| | | {{monzo| -10 2 3 }} |
| </td>
| | | 162.851 |
| <td>1125 / 1024<br />
| | |- |
| </td>
| | | [[800/729|Supersharp]] |
| <td>| -10 2 3 &gt;<br />
| | | Sayoyo |
| </td>
| | | syy2 |
| <td>162.851<br />
| | | 800 / 729 |
| </td>
| | | {{monzo| 5 -6 2 }} |
| </tr>
| | | 160.897 |
| <tr>
| | |- |
| <td>supersharp<br />
| | | [[Nether comma]] |
| </td>
| | | Lala-gugu |
| <td>800 / 729<br />
| | | LLgg1 |
| </td>
| | | 14348907 / 13107200 |
| <td>| 5 -6 2 &gt;<br />
| | | {{monzo| -19 15 -2 }} |
| </td>
| | | 156.698 |
| <td>160.897<br />
| | |- |
| </td>
| | | [[Rarity comma]] |
| </tr>
| | | Quadla-theyo |
| <tr>
| | | 4L13y-5 |
| <td>gorgo<br />
| | | |
| </td>
| | | {{monzo| -57 17 13 }} |
| <td>2187 / 2000<br />
| | | 155.313 |
| </td>
| | |- |
| <td>| -4 7 -3 &gt;<br />
| | | Gorgo, laconic |
| </td>
| | | Latrigubi |
| <td>154.744<br />
| | | L3g2 |
| </td>
| | | 2187 / 2000 |
| </tr>
| | | {{monzo| -4 7 -3 }} |
| <tr>
| | | 154.744 |
| <td>large limma<br />
| | |- |
| </td>
| | | [[2048/1875|Smate]], symbolic comma |
| <td><a class="wiki_link" href="/27_25">27 / 25</a><br />
| | | Saquadgu |
| </td>
| | | s4g3 |
| <td>| 0 3 -1&gt;<br />
| | | 2048 / 1875 |
| </td>
| | | {{monzo| 11 -1 -4 }} |
| <td>133.238<br />
| | | 152.790 |
| </td>
| | |- |
| </tr>
| | | Acute limma |
| <tr>
| | | Trila-neyobi |
| <td>lemba<br />
| | | 3L19y-5 |
| </td>
| | | 19073486328125 / <br>17592186044416 |
| <td>140625 / 131072<br />
| | | {{monzo| -44 0 19 }} |
| </td>
| | | 139.961 |
| <td>| -17 2 6 &gt;<br />
| | |- |
| </td>
| | | 31-15-comma |
| <td>121.792<br />
| | | Tritrila-thiweyo |
| </td>
| | | 9L31y-11 |
| </tr>
| | | |
| <tr>
| | | {{monzo| -121 31 31 }} |
| <td>sixix<br />
| | | 136.33 |
| </td>
| | |- |
| <td>3125 / 2916<br />
| | | [[177147/163840|Deeptone comma]], Tragicomma |
| </td>
| | | Lagu |
| <td>| -2 -6 5 &gt;<br />
| | | Lg1 |
| </td>
| | | 177147 / 163840 |
| <td>119.839<br />
| | | {{monzo| -15 11 -1 }} |
| </td>
| | | 135.191 |
| </tr>
| | |- |
| <tr>
| | | [[27/25|Large limma]] |
| <td>diesma<br />
| | | Gugu |
| </td>
| | | gg2 |
| <td>10460353203 / 9765625000<br />
| | | 27 / 25 |
| </td>
| | | {{monzo| 0 3 -2 }} |
| <td>| -3 21 -13 &gt;<br />
| | | 133.238 |
| </td>
| | |- |
| <td>118.977<br />
| | | 11-3/5-comma |
| </td>
| | | Leyo |
| </tr>
| | | 11y-2 |
| <tr>
| | | 48828125 / 45349632 |
| <td>comic<br />
| | | {{monzo| -8 -11 11 }} |
| </td>
| | | 127.946 |
| <td>5120000 / 4782969<br />
| | |- |
| </td>
| | | 27-3/5-comma |
| <td>| 13 -14 4 &gt;<br />
| | | Tritritrigu |
| </td>
| | | 27g6 |
| <td>117.885<br />
| | | |
| </td>
| | | {{monzo| 20 27 -27 }} |
| </tr>
| | | 122.315 |
| <tr>
| | |- |
| <td>just diatonic semitone<br />
| | | Lemba |
| </td>
| | | Latribiyo |
| <td><a class="wiki_link" href="/16_15">16 / 15</a><br />
| | | L6y-2 |
| </td>
| | | 140625 / 131072 |
| <td>| 4 -1 -1&gt;<br />
| | | {{monzo| -17 2 6 }} |
| </td>
| | | 121.792 |
| <td>111.731<br />
| | |- |
| </td>
| | | 87-15-comma |
| </tr>
| | | |
| <tr>
| | | |
| <td>beatles<br />
| | | |
| </td>
| | | {{monzo| 340 -87 -87 }} |
| <td>524288 / 492075<br />
| | | 120.622 |
| </td>
| | |- |
| <td>| 19 -9 -2 &gt;<br />
| | | [[3125/2916|Sixix comma]] |
| </td>
| | | Quinyo |
| <td>109.778<br />
| | | 5y1 |
| </td>
| | | 3125 / 2916 |
| </tr>
| | | {{monzo| -2 -6 5 }} |
| <tr>
| | | 119.839 |
| <td>wronecki<br />
| | |- |
| </td>
| | | Diesma |
| <td>531441 / 500000<br />
| | | Lathegu |
| </td>
| | | L13g3 |
| <td>| -5 12 -6 &gt;<br />
| | | 10460353203 / <br>9765625000 |
| </td>
| | | {{monzo| -3 21 -13 }} |
| <td>105.578<br />
| | | 118.977 |
| </td>
| | |- |
| </tr>
| | | Comic comma |
| <tr>
| | | Saquadyobi |
| <td>wesley<br />
| | | s4y2 |
| </td>
| | | 5120000 / 4782969 |
| <td>78125 / 73728<br />
| | | {{monzo| 13 -14 4 }} |
| </td>
| | | 117.885 |
| <td>| -13 -2 7 &gt;<br />
| | |- |
| </td>
| | | [[16/15|Just diatonic semitone]] |
| <td>100.286<br />
| | | Gubi |
| </td>
| | | g2 |
| </tr>
| | | 16 / 15 |
| <tr>
| | | {{monzo| 4 -1 -1 }} |
| <td>11-3/5-comma<br />
| | | 111.731 |
| </td>
| | |- |
| <td>48828125 / 45339632<br />
| | | Beatles |
| </td>
| | | Sasa-gugu |
| <td>| -8 -11 11 &gt;<br />
| | | ssgg3 |
| </td>
| | | 524288 / 492075 |
| <td>127.946<br />
| | | {{monzo| 19 -9 -2 }} |
| </td>
| | | 109.778 |
| </tr>
| | |- |
| <tr>
| | | 300-3/5-comma |
| <td>27-3/5-comma<br />
| | | |
| </td>
| | | |
| <td><br />
| | | |
| </td>
| | | {{monzo| -221 -300 300 }} |
| <td>| 20 27 -27 &gt;<br />
| | | 107.614 |
| </td>
| | |- |
| <td>122.315<br />
| | | Wronecki |
| </td>
| | | Latribigu |
| </tr>
| | | L6g2 |
| <tr>
| | | 531441 / 500000 |
| <td>31-3/5-comma<br />
| | | {{monzo| -5 12 -6 }} |
| </td>
| | | 105.578 |
| <td><br />
| | |- |
| </td>
| | | [[Wesley comma]] |
| <td>| 23 31 -31 &gt;<br />
| | | Lasepyobi |
| </td>
| | | L7y-2 |
| <td>184.880<br />
| | | 78125 / 73728 |
| </td>
| | | {{monzo| -13 -2 7 }} |
| </tr>
| | | 100.286 |
| <tr>
| | |} |
| <td>Keemun Integer cents comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 221 300 -300 &gt;<br />
| |
| </td>
| |
| <td>107.614<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | === 7-limit commas === |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:4 -->7-limit commas</h2>
| | {| class="wikitable" |
|
| | |- |
| | ! Name(s) |
| | ! colspan="2" |[[Color notation|Color Name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | |- |
| | | [[Antidilemma]] |
| | | Sasa-theruquad |
| | | ss13r-2 |
| | | 137438953472 / 96889010407 |
| | | {{monzo| 37 0 0 -13 }} |
| | | 605.263 |
| | |- |
| | | [[Dilemma]] |
| | | Lala-thezoquad |
| | | LL13z9 |
| | | 96889010407 / 68719476736 |
| | | {{monzo| -36 0 0 13 }} |
| | | 594.737 |
| | |- |
| | | [[8/7|Septimal major second]], supermajor second, |
| | augmented whole-tone, ru 2nd |
| | | Rubi |
| | | r2 |
| | | 8 / 7 |
| | | {{monzo| 3 0 0 -1 }} |
| | | 231.174 |
| | |- |
| | | Hexatone comma, 6-7-comma |
| | | Satribiru |
| | | s6r-2 |
| | | 131072 / 117649 |
| | | {{monzo| 17 0 0 -6 }} |
| | | 187.045 |
| | |- |
| | | 45-7/5-comma |
| | | Quintritriruyo |
| | | 45ry-27 |
| | | |
| | | {{monzo| 22 0 45 -45 }} |
| | | 186.951 |
| | |- |
| | | 63-35-comma |
| | | Tritribila-septritrizoyo |
| | | 18L63zy8 |
| | | |
| | | {{monzo| -323 0 63 63 }} |
| | | 173.796 |
| | |- |
| | | 8-21-comma |
| | | Lala-quadbizo |
| | | LL8z4 |
| | | 37822859361 / <br>34359738368 |
| | | {{monzo| -35 8 0 8 }} |
| | | 166.247 |
| | |- |
| | | 46-7-comma |
| | | Sepla-twethebizobi |
| | | 7L46z18 |
| | | |
| | | {{monzo| -129 0 0 46 }} |
| | | 165.992 |
| | |- |
| | | 25-7/5-comma |
| | | Quinquinzogu |
| | | 25zg17 |
| | | |
| | | {{monzo| -12 0 -25 25 }} |
| | | 162.805 |
| | |- |
| | | 43-21-comma |
| | | Quadtrisa-fotherubi |
| | | 12s43r-11 |
| | | |
| | | {{monzo| 189 -43 0 -43 }} |
| | | 156.421 |
| | |- |
| | | [[35/32|Septimal neutral second]], 35th harmonic |
| | | Zoyo |
| | | zy2 |
| | | 35 / 32 |
| | | {{monzo| -5 0 1 1 }} |
| | | 155.140 |
| | |- |
| | | 43-7/5-comma |
| | | Fotheruyo |
| | | 43ry-26 |
| | | |
| | | {{monzo| 21 0 43 -43 }} |
| | | 151.976 |
| | |- |
| | | [[49/45|Swetismic neutral second]] |
| | | Zozogu |
| | | zzg3 |
| | | 49 / 45 |
| | | {{monzo| 0 -2 -1 2 }} |
| | | 147.428 |
| | |- |
| | | [[160/147]] |
| | | Ruruyobi |
| | | rry1 |
| | | 160 / 147 |
| | | {{monzo| 5 -1 1 -2 }} |
| | | 146.707 |
| | |- |
| | | Hendecatone comma, 11-7-comma |
| | | Sasa-leru |
| | | ss11r-4 |
| | | 2147483648 / 1977326743 |
| | | {{monzo| 31 0 0 -11 }} |
| | | 142.915 |
| | |- |
| | | [[243/224|Septimal subtone]] |
| | | Larubi |
| | | Lr1 |
| | | 243 / 224 |
| | | {{monzo| -5 5 0 -1 }} |
| | | 140.949 |
| | |- |
| | | 55-35-comma |
| | | Quadquadla-lequinzoyobi |
| | | 16L55zy7 |
| | | |
| | | {{monzo| -282 0 55 55 }} |
| | | 132.679 |
| | |- |
| | | 27-7/5-comma |
| | | Tritritrizogu |
| | | 27zg18 |
| | | |
| | | {{monzo| -13 0 -27 27 }} |
| | | 127.829 |
| | |- |
| | | 41-7-comma |
| | | Tribila-fowezo |
| | | 6L41z16 |
| | | |
| | | {{monzo| -115 0 0 41 }} |
| | | 121.862 |
| | |- |
| | | 13-21-comma |
| | | Quadla-thezobi |
| | | 4L13z5 |
| | | |
| | | {{monzo| -57 13 0 13 }} |
| | | 120.152 |
| | |- |
| | | [[15/14|Major diatonic semitone]] |
| | | Ruyo |
| | | ry1 |
| | | 15 / 14 |
| | | {{monzo| -1 1 1 -1 }} |
| | | 119.443 |
| | |- |
| | | [[Primate comma]] |
| | | Saru |
| | | sr2 |
| | | 16384 / 15309 |
| | | {{monzo| 14 -7 0 -1 }} |
| | | 117.489 |
| | |- |
| | | 41-7/5-comma |
| | | Foweruyo |
| | | 41ry-25 |
| | | |
| | | {{monzo| 20 0 41 -41 }} |
| | | 117 |
| | |- |
| | | 7-35-comma |
| | | Sasa-seprugu |
| | | ss7rg1 |
| | | 68719476736 / <br>64339296875 |
| | | {{monzo| 36 0 -7 -7 }} |
| | | 114.023 |
| | |- |
| | | 38-21-comma |
| | | Lesa-nebiru |
| | | 11s38r-10 |
| | | |
| | | {{monzo| 167 -38 0 -38 }} |
| | | 110.326 |
| | |- |
| | | [[729/686|Triru comma]] |
| | | Triru |
| | | 3r-2 |
| | | 729 / 686 |
| | | {{monzo| -1 6 0 -3 }} |
| | | 105.252 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 11-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | |- |
| </th>
| | ! Name(s) |
| <th>ratio<br />
| | ! colspan="2" |[[Color notation|Color Name]] |
| </th>
| | ! Ratio |
| <th>monzo<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>cents<br />
| | |- |
| </th>
| | | 11-cycle major second prote, 33-11-comma |
| </tr>
| | | Quinla-letrilobi |
| <tr>
| | | 5L33(1o)-7 |
| <td>hexatone comma, 6-7-comma<br />
| | | |
| </td>
| | | {{monzo| -114 0 0 0 33 }} |
| <td>131072 / 117649<br />
| | | 193.492 |
| </td>
| | |- |
| <td>| 17 0 0 -6 &gt;<br />
| | | 4/5-tone, Ptolemy's second |
| </td>
| | | Logu |
| <td>187.045<br />
| | | 1og2 |
| </td>
| | | [[11/10|11 / 10]] |
| </tr>
| | | {{monzo| -1 0 -1 0 1 }} |
| <tr>
| | | 165.004 |
| <td>hendecatone comma, 11-7-comma<br />
| | |- |
| </td>
| | | 11-enipucrop, 9-11-comma |
| <td>2147483648 / 1977326743<br />
| | | Latritrilo |
| </td>
| | | L9(1o)-2 |
| <td>| 31 0 0 -11 &gt;<br />
| | | 2357947691 / 2147483648 |
| </td>
| | | {{monzo| -31 0 0 0 9 }} |
| <td>142.915<br />
| | | 161.862 |
| </td>
| | |- |
| </tr>
| | | 3/4-tone, undecimal neutral second |
| <tr>
| | | Lu |
| <td>41-7-comma<br />
| | | 1u2 |
| </td>
| | | [[12/11|12 / 11]] |
| <td><br />
| | | {{monzo| 2 1 0 0 -1 }} |
| </td>
| | | 150.637 |
| <td>| -115 0 0 41 &gt;<br />
| | |- |
| </td>
| | | [[Secor|Undecimal secor]] |
| <td>121.862<br />
| | | Lozo |
| </td>
| | | 1oz2 |
| </tr>
| | | [[77/72|77 / 72]] |
| <tr>
| | | {{monzo| -3 -2 0 1 1 }} |
| <td>46-7-comma<br />
| | | 116.234 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td>| -129 0 0 46 &gt;<br />
| |
| </td>
| |
| <td>165.992<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -12 0 -25 25 &gt;<br />
| |
| </td>
| |
| <td>162.805<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -13 0 -27 27 &gt;<br />
| |
| </td>
| |
| <td>127.829<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 21 0 41 -41 &gt;<br />
| |
| </td>
| |
| <td>117.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 22 0 43 -43 &gt;<br />
| |
| </td>
| |
| <td>151.976<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45-7/5-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| 23 0 45 -45 &gt;<br />
| |
| </td>
| |
| <td>186.951<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -35 8 0 8 &gt;<br />
| |
| </td>
| |
| <td>166.247<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13-21-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -57 13 0 13 &gt;<br />
| |
| </td>
| |
| <td>120.152<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -282 0 55 55 &gt;<br />
| |
| </td>
| |
| <td>132.679<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63-35-comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -323 0 63 63 &gt;<br />
| |
| </td>
| |
| <td>173.796<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | === 13-limit commas === |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit commas</h2>
| | {| class="wikitable" |
|
| | |- |
| | ! Name(s) |
| | ! colspan="2" |[[Color notation|Color Name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | |- |
| | | 13-cycle neutral second |
| | | Quadbila-fithethobi |
| | | 8L53(3o)7 |
| | | |
| | | {{monzo| -196 0 0 0 0 53 }} |
| | | 147.966 |
| | |- |
| | | Large tridecimal 2/3-tone, tridecimal neutral second |
| | | Tho |
| | | 3o2 |
| | | [[13/12|13 / 12]] |
| | | {{monzo| -2 -1 0 0 0 1 }} |
| | | 138.573 |
| | |- |
| | | Small tridecimal 2/3-tone, tridecimal limma, trienthird |
| | | Thuzo |
| | | 3uz2 |
| | | [[14/13|14 / 13]] |
| | | {{monzo| 1 0 0 1 0 -1 }} |
| | | 128.298 |
| | |- |
| | | Heptasixth comma, 13-cycle secor |
| | | Sasepthu |
| | | s7(3u)1 |
| | | 67108864 / 62748517 |
| | | {{monzo| 26 0 0 0 0 -7 }} |
| | | 116.306 |
| | |- |
| | | Heptadecasixth comma, neutral thirteenth comma |
| | | Sasa-sethubi |
| | | ss17(3u)-2 |
| | | |
| | | {{monzo| 63 0 0 0 0 -17 }} |
| | | 111.030 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 17-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | |- |
| </th>
| | ! Name(s) |
| <th>ratio<br />
| | ! colspan="2" |[[Color notation|Color Name]] |
| </th>
| | ! Ratio |
| <th>monzo<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>cents<br />
| | |- |
| </th>
| | | 17-limit rational eventone |
| </tr>
| | | Sogubi |
| <tr>
| | | 17og3 |
| <td>enipucrop, 9-11-comma&lt;/span<br />
| | | [[17/15|17 / 15]] |
| </td>
| | | {{monzo| 0 -1 -1 0 0 0 1 }} |
| <td>2357947691 / 2147483648]]<br />
| | | 216.687 |
| </td>
| | |- |
| <td>| -31 0 0 0 9 &gt;<br />
| | | 17th harmonic |
| </td>
| | | Iso |
| <td>161.8615<br />
| | | 17o2 |
| </td>
| | | [[17/16|17 / 16]] |
| </tr>
| | | {{monzo| -4 0 0 0 0 0 1 }} |
| <tr>
| | | 104.955 |
| <td>11-cycle major second prote, 33-11-comma<br />
| | |} |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -114 0 0 0 33 &gt;<br />
| |
| </td>
| |
| <td>193.492<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | === 19-limit commas === |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit commas</h2>
| | {| class="wikitable" |
|
| | |- |
| | ! Name(s) |
| | ! colspan="2" |[[Color notation|Color Name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | |- |
| | | 19-cycle meantone prima |
| | | Tribila-foweno |
| | | 6L41(19o)13 |
| | | |
| | | {{monzo| -174 0 0 0 0 0 0 41 }} |
| | | 198.034 |
| | |- |
| | | Undevicesimal rational meantone |
| | | Nosu |
| | | 19o17u2 |
| | | [[19/17|19 / 17]] |
| | | {{monzo| 0 0 0 0 0 0 -1 1 }} |
| | | 192.558 |
| | |- |
| | | 19-cycle meantone secunda |
| | | Tribila-quintritrino |
| | | 6L45(19o)14 |
| | | |
| | | {{monzo| -191 0 0 0 0 0 0 45 }} |
| | | 188.086 |
| | |- |
| | | 19-cycle minor tone |
| | | Sepla-sepsepno |
| | | 7L49(19o)15 |
| | | |
| | | {{monzo| -208 0 0 0 0 0 0 49 }} |
| | | 178.138 |
| | |- |
| | | Undevicesimal rational submajor second |
| | | Nuzo |
| | | 19uz2 |
| | | [[21/19|21 / 19]] |
| | | {{monzo| 0 1 0 1 0 0 0 -1 }} |
| | | 173.268 |
| | |- |
| | | 19-cycle submajor second |
| | | Quadbila-fithenobi |
| | | 8L53(19o)16 |
| | | |
| | | {{monzo| -225 0 0 0 0 0 0 53 }} |
| | | 168.190 |
| | |- |
| | | [[81/76|Dog comma]] |
| | | Inu |
| | | 19u1 |
| | | 81 / 76 |
| | | {{monzo| -2 4 0 0 0 0 0 -1 }} |
| | | 110.307 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | === 23-limit commas === |
| <tr>
| | {| class="wikitable" |
| <th>name(s)<br />
| | |- |
| </th>
| | ! Name(s) |
| <th>ratio<br />
| | ! colspan="2" |[[Color notation|Color Name]] |
| </th>
| | ! Ratio |
| <th>monzo<br />
| | ! Monzo |
| </th>
| | ! Cents |
| <th>cents<br />
| | |- |
| </th>
| | | Large vicesimotertial neutral second |
| </tr>
| | | Twethoru |
| <tr>
| | | 23or2 |
| <td>heptasixth comma, 13-cycle secor<br />
| | | [[23/21|23 / 21]] |
| </td>
| | | 3.7.23 {{monzo| -1 -1 1 }} |
| <td>67108864 / 62748517<br />
| | | 157.493 |
| </td>
| | |- |
| <td>| 26 0 0 0 0 0 -7 &gt;<br />
| | | Small vicesimotertial neutral second |
| </td>
| | | Twethuyoyo |
| <td>116.306<br />
| | | 23uyy1 |
| </td>
| | | [[25/23|25 / 23]] |
| </tr>
| | | 5.23 {{monzo| 2 -1 }} |
| <tr>
| | | 144.353 |
| <td>heptadecasixth comma, neutral thirteenth comma<br />
| | |- |
| </td>
| | | 69th harmonic |
| <td><br />
| | | Twetho |
| </td>
| | | 23o2 |
| <td>| 63 0 0 0 0 0 -17 &gt;<br />
| | | [[69/64|69 / 64]] |
| </td>
| | | 2.3.23 {{monzo| -6 1 1 }} |
| <td>111.030<br />
| | | 130.229 |
| </td>
| | |} |
| </tr>
| |
| <tr>
| |
| <td>13-cycle neutral second<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>| -196 0 0 0 0 0 53 &gt;<br />
| |
| </td>
| |
| <td>147.966<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | === Higher-limit commas === |
| | {| class="wikitable" |
| | |- |
| | ! Name(s) |
| | ! colspan="2" |[[Color notation|Color Name]] |
| | ! Ratio |
| | ! Monzo |
| | ! Cents |
| | |- |
| | | 29th subharmonic |
| | | Twenu |
| | | 29u2 |
| | | [[32/29|32 / 29]] |
| | | 2.29 {{monzo| 5 -1 }} |
| | | 170.423 |
| | |- |
| | | [[47/44]] |
| | | Fosolu |
| | | 47o1u2 |
| | | 47 / 44 |
| | | 2.11.47 {{monzo| -2 -1 1 }} |
| | | 114.189 |
| | |} |
| | |
| | [[Category:Large commas| ]] <!-- main article --> |
| | [[Category:Lists of commas]] |
| | {{todo|complete table|add color name}} |