Wikispaces>PiotrGrochowski |
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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 = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma |
| : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-11 04:02:38 UTC</tt>.<br>
| | | Color name = yy1, yoyo unison |
| : The original revision id was <tt>589204050</tt>.<br>
| | | Sound = jid_25_24_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>
| | '''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[9/5]] and [[15/8]]. It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic. |
| <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">**25/24**
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| |-3 -1 2>
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| 70.6724 cents
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| [[media type="file" key="jid_25_24_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_25_24_pluck_adu_dr220.mp3|sound sample]] | |
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| The **5-limit chromatic semitone** (short: **chroma**), 25/24, 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, 6/5 and 5/4, and sixths, 8/5 and 5/3. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81_80|81/80]] comma, it can be used for a complete system of [[5-limit]] notation.
| | == Approximation == |
| | 25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size. |
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| ----
| | == Temperaments == |
| See also:
| | If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out. |
| * [[Chroma]] -- a generalising concept for MOS scales
| | |
| * [[Gallery of Just Intervals]]
| | == See also == |
| * [[comma]]</pre></div>
| | * [[36/25]] – its [[fifth complement]] |
| <h4>Original HTML content:</h4>
| | * [[48/25]] – its [[octave complement]] |
| <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>25_24</title></head><body><strong>25/24</strong><br />
| | * [[Sqrt(25/24)]] – its exact half |
| |-3 -1 2&gt;<br />
| | * [[Gallery of just intervals]] |
| 70.6724 cents<br />
| | * [[Medium comma]] |
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| | * [[List of superparticular intervals]] |
| <br />
| | * [[Chromatic semitone]] – a generalising concept for the [[5L 2s|diatonic]] scale |
| The <strong>5-limit chromatic semitone</strong> (short: <strong>chroma</strong>), 25/24, 70.672 cents, is the <a class="wiki_link" href="/superparticular">superparticular</a> ratio which marks the difference between the 5-limit thirds, 6/5 and 5/4, and sixths, 8/5 and 5/3. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the <a class="wiki_link" href="/81_80">81/80</a> comma, it can be used for a complete system of <a class="wiki_link" href="/5-limit">5-limit</a> notation.<br />
| | * [[Chroma]] – a generalising concept for all [[mos]] scales |
| <br />
| | |
| <hr />
| | [[Category:Chroma]] |
| See also:<br />
| | [[Category:Semitone]] |
| <ul><li><a class="wiki_link" href="/Chroma">Chroma</a> -- a generalising concept for MOS scales</li><li><a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></li><li><a class="wiki_link" href="/comma">comma</a></li></ul></body></html></pre></div>
| | [[Category:Third tone]] |
| | [[Category:Dicot]] |
| | [[Category:Commas named for how they divide the fifth]] |