Patent val: Difference between revisions
Wikispaces>genewardsmith **Imported revision 246419993 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 246420125 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-08-17 01: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-17 01:33:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>246420125</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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3/1 is 1901.96 in cents. | 3/1 is 1901.96 in cents. | ||
1901.96 cents / 38.70967742 cents/step = 49.13383752 steps. | 1901.96 cents / 38.70967742 cents/step = 49.13383752 steps. | ||
This is an EDO, but we can't take 0.13383752 steps. So we round. This is clearly closer to 49 steps, so that's the "obvious" or "patent" choice. The 3-limit patent val is < 31 49 | | This is an EDO, but we can't take 0.13383752 steps. So we round. This is clearly closer to 49 steps, so that's the "obvious" or "patent" choice. The 3-limit patent val is < 31 49 |. Doing the same thing up through 17, and we get an 17-limit patent val of | ||
< 31 49 72 87 107 115 127 | | |||
Doing the same thing up through 17, and we get an 17-limit patent val of < 31 49 72 87 107 115 127 | | |||
To see how to extend from one limit to another, we may look at what to do for 19/1 and use that to go from the 17-limit to the 19-limit. | To see how to extend from one limit to another, we may look at what to do for 19/1 and use that to go from the 17-limit to the 19-limit. | ||
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3/1 is 1901.96 in cents.<br /> | 3/1 is 1901.96 in cents.<br /> | ||
1901.96 cents / 38.70967742 cents/step = 49.13383752 steps.<br /> | 1901.96 cents / 38.70967742 cents/step = 49.13383752 steps.<br /> | ||
This is an EDO, but we can't take 0.13383752 steps. So we round. This is clearly closer to 49 steps, so that's the &quot;obvious&quot; or &quot;patent&quot; choice. The 3-limit patent val is &lt; 31 49 | | This is an EDO, but we can't take 0.13383752 steps. So we round. This is clearly closer to 49 steps, so that's the &quot;obvious&quot; or &quot;patent&quot; choice. The 3-limit patent val is &lt; 31 49 |. Doing the same thing up through 17, and we get an 17-limit patent val of <br /> | ||
&lt; 31 49 72 87 107 115 127 |<br /> | |||
Doing the same thing up through 17, and we get an 17-limit patent val of &lt; 31 49 72 87 107 115 127 |<br /> | |||
<br /> | <br /> | ||
To see how to extend from one limit to another, we may look at what to do for 19/1 and use that to go from the 17-limit to the 19-limit.<br /> | To see how to extend from one limit to another, we may look at what to do for 19/1 and use that to go from the 17-limit to the 19-limit.<br /> | ||