EDT: Difference between revisions

Wikispaces>Kosmorsky
**Imported revision 247417049 - Original comment: **
Wikispaces>Kosmorsky
**Imported revision 247417835 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-08-21 14:26:02 UTC</tt>.<br>
: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-08-21 14:30:13 UTC</tt>.<br>
: The original revision id was <tt>247417049</tt>.<br>
: The original revision id was <tt>247417835</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 16: Line 16:
There are other uses, or conceptualizations, of tritave-based tunings. Purely intuitive use of these myriad, assuredly xenharmonic structures comes to mind (see "EDO" versus "equal temperament"). Another intent might be to find or define temperaments (such as Magic, Hanson, etc.), or to provide exact formulae for stretching/compressing what would musically be used as an "ordinary" octave of ~2:1. (And given the stable nature of octave-based systems, some aesthetic overlap even in the most tritave-equivalent of music, would be forseeable.) For instance, the Bernhard-Stopper (19edt) temperament, might for instance be found useful in tuning pianoforti, being equivalent to 12edo, except for a 2c sharp octave which is relevant to inharmonicity.
There are other uses, or conceptualizations, of tritave-based tunings. Purely intuitive use of these myriad, assuredly xenharmonic structures comes to mind (see "EDO" versus "equal temperament"). Another intent might be to find or define temperaments (such as Magic, Hanson, etc.), or to provide exact formulae for stretching/compressing what would musically be used as an "ordinary" octave of ~2:1. (And given the stable nature of octave-based systems, some aesthetic overlap even in the most tritave-equivalent of music, would be forseeable.) For instance, the Bernhard-Stopper (19edt) temperament, might for instance be found useful in tuning pianoforti, being equivalent to 12edo, except for a 2c sharp octave which is relevant to inharmonicity.


[[3edt]] Three tempered 13/9 (see [[3edo]] which does the same with 5/4)
[[4edt]] Tetratonic BP (see above)
[[5edt]] (Tritave counterpart of Magic)
[[5edt]] (Tritave counterpart of Magic)
[[6edt]] (Tritave counterpart of Hanson)
[[6edt]] (Tritave counterpart of Hanson)
Line 53: Line 55:
There are other uses, or conceptualizations, of tritave-based tunings. Purely intuitive use of these myriad, assuredly xenharmonic structures comes to mind (see &amp;quot;EDO&amp;quot; versus &amp;quot;equal temperament&amp;quot;). Another intent might be to find or define temperaments (such as Magic, Hanson, etc.), or to provide exact formulae for stretching/compressing what would musically be used as an &amp;quot;ordinary&amp;quot; octave of ~2:1. (And given the stable nature of octave-based systems, some aesthetic overlap even in the most tritave-equivalent of music, would be forseeable.) For instance, the Bernhard-Stopper (19edt) temperament, might for instance be found useful in tuning pianoforti, being equivalent to 12edo, except for a 2c sharp octave which is relevant to inharmonicity.&lt;br /&gt;
There are other uses, or conceptualizations, of tritave-based tunings. Purely intuitive use of these myriad, assuredly xenharmonic structures comes to mind (see &amp;quot;EDO&amp;quot; versus &amp;quot;equal temperament&amp;quot;). Another intent might be to find or define temperaments (such as Magic, Hanson, etc.), or to provide exact formulae for stretching/compressing what would musically be used as an &amp;quot;ordinary&amp;quot; octave of ~2:1. (And given the stable nature of octave-based systems, some aesthetic overlap even in the most tritave-equivalent of music, would be forseeable.) For instance, the Bernhard-Stopper (19edt) temperament, might for instance be found useful in tuning pianoforti, being equivalent to 12edo, except for a 2c sharp octave which is relevant to inharmonicity.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/3edt"&gt;3edt&lt;/a&gt; Three tempered 13/9 (see &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt; which does the same with 5/4)&lt;br /&gt;
&lt;a class="wiki_link" href="/4edt"&gt;4edt&lt;/a&gt; Tetratonic BP (see above)&lt;br /&gt;
&lt;a class="wiki_link" href="/5edt"&gt;5edt&lt;/a&gt; (Tritave counterpart of Magic)&lt;br /&gt;
&lt;a class="wiki_link" href="/5edt"&gt;5edt&lt;/a&gt; (Tritave counterpart of Magic)&lt;br /&gt;
&lt;a class="wiki_link" href="/6edt"&gt;6edt&lt;/a&gt; (Tritave counterpart of Hanson)&lt;br /&gt;
&lt;a class="wiki_link" href="/6edt"&gt;6edt&lt;/a&gt; (Tritave counterpart of Hanson)&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/EDT"