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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Equal divisions of [[8/3]] and beyond can be conceived of as to use one interval of these as an [[equivalence]], or not. However, the utility of such intervals as bases is limited by the fact that it is generally difficult for a singer to reach much more than an augmented tenth (in theory as wide as 1946 cents) above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done. In particular, the eleventh is slightly complicated to use as a base because it is a suspension of the major third or a compound tritone when it appears in common practice. Even so, a few such wider intervals (they not being powers of rational intervals 1680 cents or narrower) have seen their uses: |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-03 15:09:00 UTC</tt>.<br>
| | *[[Ed8/3|Equal divisions of 8/3]] |
| : The original revision id was <tt>601295840</tt>.<br>
| | *[[Ed20/7|Equal divisions of 20/7]] |
| : The revision comment was: <tt></tt><br>
| | *[[Edt|Equal divisions of the tritave]] |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | *[[Ed10/3|Equal division of 10/3]] |
| <h4>Original Wikitext content:</h4>
| | *[[Ed7/2|Equal division of 7/2]] |
| <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">Intervals wider than a tenth (regular: 1680 cents or augmented: ~1810.01 cents) may be taken directly as the base of a of family of tonalities. However, the utility of such intervals as bases is limited by the fact that //it is generally difficult for a singer to reach much more than an augmented tenth above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done//. In particular, the eleventh is slightly complicated to use as a base because it appears as a suspension of the major third or a compound tritone when it does in common practice. Even so, a few such wider intervals have seen direct uses as bases of families of tonalities:
| | *[[Ed4|Equal division of the double octave]] |
| * [[edt|Equal divisions of the tritave]] | | *[[Ed5|Equal divisions of the fifth harmonic]] |
| * [[ed5|Equal divisions of the fifth harmonic]] | | *[[Ed6|Equal divisions of the sixth harmonic]] |
| * [[ed6|Equal divisions of the sixth harmonic]] | | *[[Ed7|Equal divisions of the seventh harmonic]] |
| * [[ed7|Equal divisions of the seventh harmonic]]</pre></div> | | *[[Ed10|Equal divisions of the tenth harmonic]] |
| <h4>Original HTML content:</h4>
| | *[[Ed11|Equal divisions of the eleventh harmonic]] |
| <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>edXI and beyond</title></head><body>Intervals wider than a tenth (regular: 1680 cents or augmented: ~1810.01 cents) may be taken directly as the base of a of family of tonalities. However, the utility of such intervals as bases is limited by the fact that <em>it is generally difficult for a singer to reach much more than an augmented tenth above a given note (at least very reliably) without prior training and it is nevertheless not even very dramatic to do it regardless of how reliably it is done</em>. In particular, the eleventh is slightly complicated to use as a base because it appears as a suspension of the major third or a compound tritone when it does in common practice. Even so, a few such wider intervals have seen direct uses as bases of families of tonalities:<br />
| | *[[Ed12|Equal divisions of the twelfth harmonic]] |
| <ul><li><a class="wiki_link" href="/edt">Equal divisions of the tritave</a></li><li><a class="wiki_link" href="/ed5">Equal divisions of the fifth harmonic</a></li><li><a class="wiki_link" href="/ed6">Equal divisions of the sixth harmonic</a></li><li><a class="wiki_link" href="/ed7">Equal divisions of the seventh harmonic</a></li></ul></body></html></pre></div>
| | *[[Ed13|Equal divisions of the thirteenth harmonic]] |
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| | [[Category:Nonoctave]] |
| | {{todo|improve synopsis}} |