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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{interwiki |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | en = 19ed3 |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-13 12:14:28 UTC</tt>.<br>
| | | de = Bernhard Stopper |
| : The original revision id was <tt>595262542</tt>.<br>
| | }} |
| : The revision comment was: <tt></tt><br>
| | {{Infobox ET}} |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | {{ED intro}} It is also known as '''Stopper tuning'''. |
| <h4>Original Wikitext content:</h4>
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| <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">=Division of 3/1 into 19 equal parts=
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| = =
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| [[@http://www.piano-stopper.de/html/onlypure_tuning.html|Bernhard Stopper's OnlyPure tuning]]
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| Note: 19 equal divisions of the tritave is not a xenharmonic tuning; it is a slightly stretched version (with an octave of 1201.2 cents) of the normal [[@12edo|12-tone scale]]. Or if you insist that it is, it is the tritave twin of godzilla temperament (with a generator of 400.4 cents and a 3:1 ratio superdiatonic scale) or of sensi or meantone temperament <span style="background-color: rgba(255,255,255,0);">(with a generator of 700.7 or </span>1101.1
| | == Theory == |
| <span style="background-color: rgba(255,255,255,0);">cents and a 2:1 ratio superdiatonic scale)</span>.</pre></div>
| | 19edt is not a truly [[xenharmonic]] tuning; it is a slightly stretched version (with an octave of 1201.2 cents) of the normal [[12edo|12-tone scale]]. Although it is really just the normal 12edo framed in a pure-3 tuning, it can still be used as a temperament with no twos like other tritave-equivalent tunings, although limited in [[accuracy]], with [[5/3]] approximated as 9 steps and [[7/3]] approximated by 15 steps. It completely misses the next tritave-reduced prime harmonic, [[11/9]]. |
| <h4>Original HTML content:</h4>
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| <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>19ED3</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Division of 3/1 into 19 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Division of 3/1 into 19 equal parts</h1>
| | This approach can create very non-standard chords and scales such as the approximation of the 5:7:9 chord as 0–600–1000 cents. These could be considered xenharmonic in a sense, since they have little connection to standard 12-tone practice in spite of using the 12-tone interval set. The "default" approach to it is as a "macro-[[godzilla]]" temperament (with a generator of 400.4 cents and a 3:1 ratio {{mos scalesig|5L 4s<3/1>|link=1}} scale, and it is an interesting coincidence how [[17edt]] and 19edt tonality have the same "default" scheme with two tones more or less). Beyond this, it also contains the tritave twin of [[meantone]] temperament (with a generator of 700.7 or 1201.2 cents), producing a basic {{mos scalesig|8L 3s<3/1>|link=1}} scale. |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h1>
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| <a class="wiki_link_ext" href="http://www.piano-stopper.de/html/onlypure_tuning.html" rel="nofollow" target="_blank">Bernhard Stopper's OnlyPure tuning</a><br />
| | === Harmonics === |
| <br />
| | {{Harmonics in equal|steps=19|num=3|denom=1|intervals=integer}} |
| Note: 19 equal divisions of the tritave is not a xenharmonic tuning; it is a slightly stretched version (with an octave of 1201.2 cents) of the normal <a class="wiki_link" href="/12edo" target="_blank">12-tone scale</a>. Or if you insist that it is, it is the tritave twin of godzilla temperament (with a generator of 400.4 cents and a 3:1 ratio superdiatonic scale) or of sensi or meantone temperament <span style="background-color: rgba(255,255,255,0);">(with a generator of 700.7 or </span>1101.1<br />
| | {{Harmonics in equal|steps=19|num=3|denom=1|intervals=integer|start=12|columns=12|collapsed=1|title=Approximation of harmonics in 19edt (continued)}} |
| <span style="background-color: rgba(255,255,255,0);">cents and a 2:1 ratio superdiatonic scale)</span>.</body></html></pre></div>
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| | === Subsets and supersets === |
| | 19edt is the 8th [[prime equal division|prime edt]], following [[17edt]] and before [[23edt]]. |
| | |
| | == Intervals == |
| | {{Interval table}} |
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| | == See also == |
| | * [[7edf]] – relative edf |
| | * [[12edo]] – relative edo |
| | * [[28ed5]] – relative ed5 |
| | * [[31ed6]] – relative ed6 |
| | * [[34ed7]] – relative ed7 |
| | * [[40ed10]] – relative ed10 |
| | * [[43ed12]] – relative ed12 |
| | * [[76ed80]] – close to the zeta-optimized tuning for 12edo |
| | * [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]] |
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| | == External links == |
| | * [[Bernhard Stopper]]'s [https://piano-stopper.de/?page_id=107&lang=en OnlyPure tuning]{{dead link}} |
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| | [[Category:12edo]] |
| | [[Category:Macrotonal]] |