Val: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 288554698 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 288555046 - 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:mbattaglia1|mbattaglia1]] and made on <tt>2011-12-27 | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-12-27 07:05:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>288555046</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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* For each wart, the letter specifies which prime is being deviated from, so that the nth letter of the alphabet refers to the nth prime. | * For each wart, the letter specifies which prime is being deviated from, so that the nth letter of the alphabet refers to the nth prime. | ||
* A letter which appears m times refers to the (m+1)th most accurate mapping for that prime. | * A letter which appears m times refers to the (m+1)th most accurate mapping for that prime. | ||
* If one is referring to the patent val for some EDO, e.g. the val for which no deviations appear, the wart "p" refers to the patent val for that EDO. This wart shall not appear in conjunction with other warts. | |||
* The letter "p" is also the 16th letter of the alphabet, and hence could also represent the 16th prime, or 53/1. The behavior of this notation system in handling extremely high-limit vals in which the 53rd prime deviates from the patent val is currently undefined. | |||
If a number representing a val should appear at all without any corresponding wart, it is taken to mean the patent val. So the 5-limit val "12" is taken to be identical to 12p. | If a number representing a val should appear at all without any corresponding wart, it is taken to mean the patent val. So the 5-limit val "12" is taken to be identical to 12p. | ||
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In general, the rule is:<br /> | In general, the rule is:<br /> | ||
<ul><li>For each wart, the letter specifies which prime is being deviated from, so that the nth letter of the alphabet refers to the nth prime.</li><li>A letter which appears m times refers to the (m+1)th most accurate mapping for that prime.</li></ul><br /> | <ul><li>For each wart, the letter specifies which prime is being deviated from, so that the nth letter of the alphabet refers to the nth prime.</li><li>A letter which appears m times refers to the (m+1)th most accurate mapping for that prime.</li><li>If one is referring to the patent val for some EDO, e.g. the val for which no deviations appear, the wart &quot;p&quot; refers to the patent val for that EDO. This wart shall not appear in conjunction with other warts.</li><li>The letter &quot;p&quot; is also the 16th letter of the alphabet, and hence could also represent the 16th prime, or 53/1. The behavior of this notation system in handling extremely high-limit vals in which the 53rd prime deviates from the patent val is currently undefined.</li></ul><br /> | ||
If a number representing a val should appear at all without any corresponding wart, it is taken to mean the patent val. So the 5-limit val &quot;12&quot; is taken to be identical to 12p.<br /> | If a number representing a val should appear at all without any corresponding wart, it is taken to mean the patent val. So the 5-limit val &quot;12&quot; is taken to be identical to 12p.<br /> | ||
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See also: <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a>, <a class="wiki_link" href="/Patent%20val">Patent val</a>, <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a></body></html></pre></div> | See also: <a class="wiki_link" href="/Monzos%20and%20Interval%20Space">Monzos and Interval Space</a>, <a class="wiki_link" href="/Patent%20val">Patent val</a>, <a class="wiki_link" href="/Vals%20and%20Tuning%20Space">Vals and Tuning Space</a></body></html></pre></div> | ||