|
|
| (12 intermediate revisions by 8 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''Badness''' is a measure that allows the comparative evaluation of tunings, temperaments, interval approximations, etc. in terms of both [[complexity]] and [[error]], two measures that usually vary in opposite directions. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-06-12 05:34:04 UTC</tt>.<br>
| |
| : The original revision id was <tt>437724528</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>
| |
| <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">**Badness** is a negative [[measure]] for tunings, temperaments, interval approximations etc....
| |
|
| |
|
| == badness measures for temperaments ==
| | Complexity and error are both usually treated as undesirable characteristics, but there is a trade-off between them in that very low complexity temperaments (e.g. small [[edo]]s) typically do not have low error, and very low error temperaments (e.g. [[microtemperament]]s) typically do not have low complexity. Badness is a way to combine complexity and error such that a search for low-badness temperaments yields results with a particularly good trade-off between complexity and error. A temperament is said to be '''efficient''' if it achieves low badness. |
| *[[Cangwu badness]]
| | |
| *[[Tenney-Euclidean temperament measures#TE simple badness]] (the same as //TE badness//?)
| | Several different badness measures are in use, including [[Cangwu badness]], [[TE simple badness]], and [[TE logflat badness]]. Some also have several normalizing coefficients. |
| </pre></div>
| | |
| <h4>Original HTML content:</h4>
| | {{Note| [[Sintel]]'s [[TE logflat badness]] is generally the badness metric used throughout this wiki. Many old pages still use [[Gene Ward Smith|Smith]]'s; those are being phased out. }} |
| <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>Badness</title></head><body><strong>Badness</strong> is a negative <a class="wiki_link" href="/measure">measure</a> for tunings, temperaments, interval approximations etc....<br />
| | |
| <br />
| | == External links == |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-badness measures for temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 --> badness measures for temperaments </h2>
| | * [http://tonalsoft.com/enc/b/badness.aspx Tonalsoft Encyclopedia | ''Badness''] |
| *<a class="wiki_link" href="/Cangwu%20badness">Cangwu badness</a><br />
| | |
| *<a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">Tenney-Euclidean temperament measures</a> (the same as <em>TE badness</em>?)</body></html></pre></div>
| | [[Category:Badness| ]] <!-- Main article --> |