20ed5: Difference between revisions
Wikispaces>guest **Imported revision 250647256 - Original comment: ** |
Wikispaces>Kosmorsky **Imported revision 268459084 - Original comment: ** |
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<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: | : This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-10-25 14:48:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>268459084</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> | ||
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<span class="commentBody">One way of looking at it comes by constructing it via four tempered 3/2</span> ([[meantone]] without octaves) <span class="commentBody">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the "pentave", 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but //turned entirely inside-out//. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts. | <span class="commentBody">One way of looking at it comes by constructing it via four tempered 3/2</span> ([[meantone]] without octaves) <span class="commentBody">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the "pentave", 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but //turned entirely inside-out//. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts. | ||
Adding octaves makes it [[Meantone family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. | Adding octaves makes it [[Meantone family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>20ed5</title></head><body>20th root of 5 &quot;Hieronymus' Tuning&quot;<br /> | <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>20ed5</title></head><body>20th root of 5 &quot;Hieronymus' Tuning&quot;<br /> | ||
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<span class="commentBody">One way of looking at it comes by constructing it via four tempered 3/2</span> (<a class="wiki_link" href="/meantone">meantone</a> without octaves) <span class="commentBody">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the &quot;pentave&quot;, 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but <em>turned entirely inside-out</em>. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts.<br /> | <span class="commentBody">One way of looking at it comes by constructing it via four tempered 3/2</span> (<a class="wiki_link" href="/meantone">meantone</a> without octaves) <span class="commentBody">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the &quot;pentave&quot;, 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but <em>turned entirely inside-out</em>. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts.<br /> | ||
<br /> | <br /> | ||
Adding octaves makes it <a class="wiki_link" href="/Meantone%20family#Jerome">jerome temperament</a>, with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. | Adding octaves makes it <a class="wiki_link" href="/Meantone%20family#Jerome">jerome temperament</a>, with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system.</body></html></pre></div> | ||