Millioctave: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>xenwolf **Imported revision 239300585 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 509664148 - 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: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-05-18 15:06:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>509664148</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">The **millioctave** (**mO**) is a logarithmic [[interval size measure]]. Its independence from the "classical" [[12edo]] tuning | <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">The **millioctave** (**mO**) is a logarithmic [[interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[@http://en.wikipedia.org/wiki/International_System_of_Units|SI]] units, have led some microtonalists to prefer it over similar measures such as [[cents]]. However, others note that it naturally favors [[10edo]] and its multiples, just as cents favor 12edo and its multiples. | ||
When comparing the approximations of [[just intervals]] between different systems, mO values can be used equally well as [[Cent]] values. Also the absolute size of [[comma]]s can be given in millioctave steps. | When comparing the approximations of [[just intervals]] between different systems, mO values can be used equally well as [[Cent|cent]] values. Also the absolute size of [[comma]]s can be given in millioctave steps. | ||
== Links == | 1 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001. | ||
http://en.wikipedia.org/wiki/Millioctave</pre></div> | |||
To convert a just interval (n/d) to millioctaves (m), use the formula m = 1000 * log<span style="font-size: 80%; vertical-align: sub;">2</span>(n/d) . | |||
Or, if your calculator or software does not have a log2 function, use m = 1000 * log(n/d) / log(2) . | |||
1 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO. | |||
==Links== | |||
[[@http://en.wikipedia.org/wiki/Millioctave]] | |||
Other [[interval size measure]]s</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>millioctave</title></head><body>The <strong>millioctave</strong> (<strong>mO</strong>) is a logarithmic <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>. Its independence from the &quot;classical&quot; <a class="wiki_link" href="/12edo">12edo</a> tuning | <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>millioctave</title></head><body>The <strong>millioctave</strong> (<strong>mO</strong>) is a logarithmic <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the &quot;classical&quot;/&quot;standard&quot; <a class="wiki_link" href="/12edo">12edo</a> tuning, and its similarity to other metric/<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/International_System_of_Units" rel="nofollow" target="_blank">SI</a> units, have led some microtonalists to prefer it over similar measures such as <a class="wiki_link" href="/cents">cents</a>. However, others note that it naturally favors <a class="wiki_link" href="/10edo">10edo</a> and its multiples, just as cents favor 12edo and its multiples.<br /> | ||
<br /> | |||
When comparing the approximations of <a class="wiki_link" href="/just%20intervals">just intervals</a> between different systems, mO values can be used equally well as <a class="wiki_link" href="/Cent">cent</a> values. Also the absolute size of <a class="wiki_link" href="/comma">comma</a>s can be given in millioctave steps.<br /> | |||
<br /> | |||
1 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001.<br /> | |||
<br /> | |||
To convert a just interval (n/d) to millioctaves (m), use the formula m = 1000 * log<span style="font-size: 80%; vertical-align: sub;">2</span>(n/d) .<br /> | |||
Or, if your calculator or software does not have a log2 function, use m = 1000 * log(n/d) / log(2) .<br /> | |||
<br /> | <br /> | ||
1 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 --> Links </h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h2> | ||
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Millioctave" rel="nofollow" target="_blank">http://en.wikipedia.org/wiki/Millioctave</a><br /> | |||
Other <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>s</body></html></pre></div> | |||
Revision as of 15:06, 18 May 2014
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2014-05-18 15:06:17 UTC.
- The original revision id was 509664148.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The **millioctave** (**mO**) is a logarithmic [[interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[@http://en.wikipedia.org/wiki/International_System_of_Units|SI]] units, have led some microtonalists to prefer it over similar measures such as [[cents]]. However, others note that it naturally favors [[10edo]] and its multiples, just as cents favor 12edo and its multiples. When comparing the approximations of [[just intervals]] between different systems, mO values can be used equally well as [[Cent|cent]] values. Also the absolute size of [[comma]]s can be given in millioctave steps. 1 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001. To convert a just interval (n/d) to millioctaves (m), use the formula m = 1000 * log<span style="font-size: 80%; vertical-align: sub;">2</span>(n/d) . Or, if your calculator or software does not have a log2 function, use m = 1000 * log(n/d) / log(2) . 1 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO. ==Links== [[@http://en.wikipedia.org/wiki/Millioctave]] Other [[interval size measure]]s
Original HTML content:
<html><head><title>millioctave</title></head><body>The <strong>millioctave</strong> (<strong>mO</strong>) is a logarithmic <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" <a class="wiki_link" href="/12edo">12edo</a> tuning, and its similarity to other metric/<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/International_System_of_Units" rel="nofollow" target="_blank">SI</a> units, have led some microtonalists to prefer it over similar measures such as <a class="wiki_link" href="/cents">cents</a>. However, others note that it naturally favors <a class="wiki_link" href="/10edo">10edo</a> and its multiples, just as cents favor 12edo and its multiples.<br /> <br /> When comparing the approximations of <a class="wiki_link" href="/just%20intervals">just intervals</a> between different systems, mO values can be used equally well as <a class="wiki_link" href="/Cent">cent</a> values. Also the absolute size of <a class="wiki_link" href="/comma">comma</a>s can be given in millioctave steps.<br /> <br /> 1 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001.<br /> <br /> To convert a just interval (n/d) to millioctaves (m), use the formula m = 1000 * log<span style="font-size: 80%; vertical-align: sub;">2</span>(n/d) .<br /> Or, if your calculator or software does not have a log2 function, use m = 1000 * log(n/d) / log(2) .<br /> <br /> 1 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:0 -->Links</h2> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Millioctave" rel="nofollow" target="_blank">http://en.wikipedia.org/wiki/Millioctave</a><br /> Other <a class="wiki_link" href="/interval%20size%20measure">interval size measure</a>s</body></html>