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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = small undecimal semitone, undecimal minor semitone, pentacircle minor second |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 20:54:29 UTC</tt>.<br>
| | | Color name = 1or1, loru unison |
| : The original revision id was <tt>515317078</tt>.<br>
| | | Sound = jid_22_21_pluck_adu_dr220.mp3 |
| : The revision comment was: <tt></tt><br>
| | | Comma = yes |
| 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>
| | '''22/21''' is a small [[superparticular]] [[semitone (interval region)|semitone]] of about 80.5¢ that appears in [[11-limit]] [[just intonation]], commonly known as the '''small undecimal semitone''', or '''undecimal minor semitone'''. It is the difference between [[12/11]] and [[8/7]], or between [[7/6]] and [[11/9]]. |
| <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">**22/21**
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| |1 -1 0 -1 1>
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| 80.537 cents
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| [[media type="file" key="jid_22_21_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_22_21_pluck_adu_dr220.mp3|sound sample]] | |
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| 22/21 is a small [[superparticular]] semitone of about 80.5¢ that appears in [[11-limit]] [[Just Intonation]]. It makes the difference between the 21st and 22nd overtone. It is close in size to [[21_20|21/20]], a 7-limit [[superparticular]] interval, differing from it by [[441_440|441/440]], about 3.9¢.
| | In many notation systems (e.g. [[FJS]], [[HEJI]]), it is an imperfect unison, as it is the stack of an [[33/32|undecimal quartertone (33/32)]] and a [[64/63|septimal comma (64/63)]], neither of which changes the [[scale|scale degree]] or [[interval quality|quality]]. However, it is only flat of the [[256/243|Pythagorean minor second (256/243)]] by a [[896/891|pentacircle comma (896/891)]]. For this reason it could be called the '''pentacircle minor second'''. |
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| The single degree of [[88cET]] can function as both 21/20 and 22/21, thus tempering out 441/440. | | Furthermore, it is close in size to [[21/20]], a 7-limit superparticular interval most commonly treated as a minor second, differing from it by [[441/440]], about 3.9¢. The single degree of [[88cET]] can function as both 21/20 and 22/21, thus [[tempering out]] 441/440. |
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| See: [[Gallery of Just Intervals]], [[List of Superparticular Intervals]]</pre></div>
| | == Approximation == |
| <h4>Original HTML content:</h4>
| | 10 steps of [[149edo]] appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using [[relative cent]]s. |
| <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>22_21</title></head><body><strong>22/21</strong><br />
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| |1 -1 0 -1 1&gt;<br />
| | == See also == |
| 80.537 cents<br />
| | * [[21/11]] – its [[octave complement]] |
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| | * [[Gallery of just intervals]] |
| <br />
| | * [[List of superparticular intervals]] |
| 22/21 is a small <a class="wiki_link" href="/superparticular">superparticular</a> semitone of about 80.5¢ that appears in <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>. It makes the difference between the 21st and 22nd overtone. It is close in size to <a class="wiki_link" href="/21_20">21/20</a>, a 7-limit <a class="wiki_link" href="/superparticular">superparticular</a> interval, differing from it by <a class="wiki_link" href="/441_440">441/440</a>, about 3.9¢.<br />
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| | [[Category:Semitone]] |
| The single degree of <a class="wiki_link" href="/88cET">88cET</a> can function as both 21/20 and 22/21, thus tempering out 441/440.<br />
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20Superparticular%20Intervals">List of Superparticular Intervals</a></body></html></pre></div>
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22/21 is a small superparticular semitone of about 80.5¢ that appears in 11-limit just intonation, commonly known as the small undecimal semitone, or undecimal minor semitone. It is the difference between 12/11 and 8/7, or between 7/6 and 11/9.
In many notation systems (e.g. FJS, HEJI), it is an imperfect unison, as it is the stack of an undecimal quartertone (33/32) and a septimal comma (64/63), neither of which changes the scale degree or quality. However, it is only flat of the Pythagorean minor second (256/243) by a pentacircle comma (896/891). For this reason it could be called the pentacircle minor second.
Furthermore, it is close in size to 21/20, a 7-limit superparticular interval most commonly treated as a minor second, differing from it by 441/440, about 3.9¢. The single degree of 88cET can function as both 21/20 and 22/21, thus tempering out 441/440.
Approximation
10 steps of 149edo appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using relative cents.
See also