Map of rank-2 temperaments: Difference between revisions
Wikispaces>Kosmorsky **Imported revision 319166072 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 320275270 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-04-13 14:34:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>320275270</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 135: | Line 135: | ||
* [[Compton]] - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called [[waage]]), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of [[72edo]] might make this more concrete. | * [[Compton]] - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called [[waage]]), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of [[72edo]] might make this more concrete. | ||
* [[Catler]] - 5-limit as in 12edo; intervals of 7 are off by one generator. | * [[Catler]] - 5-limit as in 12edo; intervals of 7 are off by one generator. | ||
* [[Atomic]] - Does not temper out the | * [[Atomic]] - Does not temper out the schisma, so 3/2 is one schisma sharp of its 12edo value. Extremely accurate.</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>Map of rank-2 temperaments</title></head><body>This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> that completely lack octaves.<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>Map of rank-2 temperaments</title></head><body>This is intended to be a map of all interesting linear (rank-2) temperaments that are compatible with octave equivalence. The only linear temperaments not appearing here should be ones like <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> that completely lack octaves.<br /> | ||
| Line 3,307: | Line 3,307: | ||
See also: <a class="wiki_link" href="/Pythagorean%20family">Pythagorean family</a><br /> | See also: <a class="wiki_link" href="/Pythagorean%20family">Pythagorean family</a><br /> | ||
Temperaments in this family are interesting because they can be thought of as <a class="wiki_link" href="/12edo">12edo</a> with microtonal alterations.<br /> | Temperaments in this family are interesting because they can be thought of as <a class="wiki_link" href="/12edo">12edo</a> with microtonal alterations.<br /> | ||
<ul><li><a class="wiki_link" href="/Compton">Compton</a> - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called <a class="wiki_link" href="/waage">waage</a>), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of <a class="wiki_link" href="/72edo">72edo</a> might make this more concrete.</li><li><a class="wiki_link" href="/Catler">Catler</a> - 5-limit as in 12edo; intervals of 7 are off by one generator.</li><li><a class="wiki_link" href="/Atomic">Atomic</a> - Does not temper out the | <ul><li><a class="wiki_link" href="/Compton">Compton</a> - 3-limit as in 12edo; intervals of 5 are off by one generator. In the 7-limit (sometimes called <a class="wiki_link" href="/waage">waage</a>), intervals of 7 are off by two generators. In the 11-limit, intervals of 11 are off by 3 generators. Thinking of <a class="wiki_link" href="/72edo">72edo</a> might make this more concrete.</li><li><a class="wiki_link" href="/Catler">Catler</a> - 5-limit as in 12edo; intervals of 7 are off by one generator.</li><li><a class="wiki_link" href="/Atomic">Atomic</a> - Does not temper out the schisma, so 3/2 is one schisma sharp of its 12edo value. Extremely accurate.</li></ul></body></html></pre></div> | ||