Kite's thoughts on pergens: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-03-27 16:18:40 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-03-27 16:45:30 UTC</tt>.

: The original revision id was <tt>~~628074207~~</tt>.

: The original revision id was <tt>628074897</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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http://www.tallkite.com/misc_files/alt-pergenLister.zip

The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.

The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Horizontal lines group the pergens into blocks (half-splits, third-splits, etc). Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.

Screenshots of the first 69 pergens:

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Some of the pergens supported by 15edo. A red asterisk means partial support.

[[image:alt-pergenLister 15edo.png width="800" height="493"]]

Pergens supported by 19edo. Edos that are a prime number support only 1 ~~half-split~~ pergen~~, 1 third-split, 1 quarter-split, etc~~.

Pergens supported by 19edo. Edos that are a prime number support only 1 pergen per block.

[[image:alt-pergenLister 19edo.png width="800" height="459"]]

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<a class="wiki_link_ext" href="http://www.tallkite.com/misc_files/alt-pergenLister.zip" rel="nofollow">http://www.tallkite.com/misc_files/alt-pergenLister.zip</a>

The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.

The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Horizontal lines group the pergens into blocks (half-splits, third-splits, etc). Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.

Screenshots of the first 69 pergens:

Line 6,579:

Some of the pergens supported by 15edo. A red asterisk means partial support.

<img src="/file/view/alt-pergenLister%2015edo.png/627986197/800x493/alt-pergenLister%2015edo.png" alt="alt-pergenLister 15edo.png" title="alt-pergenLister 15edo.png" style="height: 493px; width: 800px;" />

Pergens supported by 19edo. Edos that are a prime number support only 1 ~~half-split~~ pergen~~, 1 third-split, 1 quarter-split, etc~~.

Pergens supported by 19edo. Edos that are a prime number support only 1 pergen per block.

<img src="/file/view/alt-pergenLister%2019edo.png/627986203/800x459/alt-pergenLister%2019edo.png" alt="alt-pergenLister 19edo.png" title="alt-pergenLister 19edo.png" style="height: 459px; width: 800px;" />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-03-27 16:18:40 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-03-27 16:45:30 UTC</tt>.<br>
-: The original revision id was <tt>628074207</tt>.<br>
+: The original revision id was <tt>628074897</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>
@@ Line 970: / Line 970: @@
 http://www.tallkite.com/misc_files/alt-pergenLister.zip
-The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.
+The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Horizontal lines group the pergens into blocks (half-splits, third-splits, etc). Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.
 Screenshots of the first 69 pergens:
@@ Line 979: / Line 979: @@
 Some of the pergens supported by 15edo. A red asterisk means partial support.
 [[image:alt-pergenLister 15edo.png width="800" height="493"]]
-Pergens supported by 19edo. Edos that are a prime number support only 1 half-split pergen, 1 third-split, 1 quarter-split, etc.
+Pergens supported by 19edo. Edos that are a prime number support only 1 pergen per block.
 [[image:alt-pergenLister 19edo.png width="800" height="459"]]
@@ Line 6,570: / Line 6,570: @@
 &lt;!-- ws:start:WikiTextUrlRule:8165:http://www.tallkite.com/misc_files/alt-pergenLister.zip --&gt;&lt;a class="wiki_link_ext" href="http://www.tallkite.com/misc_files/alt-pergenLister.zip" rel="nofollow"&gt;http://www.tallkite.com/misc_files/alt-pergenLister.zip&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:8165 --&gt;&lt;br /&gt;
 &lt;br /&gt;
-The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.&lt;br /&gt;
+The first section (PERGEN and Per/Gen cents) describes each pergen without regard to notational issues. The period and generator's cents are given, assuming a 5th of 700¢ + c. The generator is reduced, e.g. (P8/2, P5) has a generator of 100¢ + c, not 700¢ + c. The next two sections show a possible notation for P and G. The last section shows the unreduced pergen, and for false doubles, a possible single-pair notation. Horizontal lines group the pergens into blocks (half-splits, third-splits, etc). Red indicates problems. Generators of 50¢ or less are in red. Enharmonics of a 3rd or more are in red.&lt;br /&gt;
 &lt;br /&gt;
 Screenshots of the first 69 pergens:&lt;br /&gt;
@@ Line 6,579: / Line 6,579: @@
 Some of the pergens supported by 15edo. A red asterisk means partial support.&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:4932:&amp;lt;img src=&amp;quot;/file/view/alt-pergenLister%2015edo.png/627986197/800x493/alt-pergenLister%2015edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 493px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/alt-pergenLister%2015edo.png/627986197/800x493/alt-pergenLister%2015edo.png" alt="alt-pergenLister 15edo.png" title="alt-pergenLister 15edo.png" style="height: 493px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:4932 --&gt;&lt;br /&gt;
-Pergens supported by 19edo. Edos that are a prime number support only 1 half-split pergen, 1 third-split, 1 quarter-split, etc.&lt;br /&gt;
+Pergens supported by 19edo. Edos that are a prime number support only 1 pergen per block.&lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:4933:&amp;lt;img src=&amp;quot;/file/view/alt-pergenLister%2019edo.png/627986203/800x459/alt-pergenLister%2019edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 459px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/alt-pergenLister%2019edo.png/627986203/800x459/alt-pergenLister%2019edo.png" alt="alt-pergenLister 19edo.png" title="alt-pergenLister 19edo.png" style="height: 459px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:4933 --&gt;&lt;br /&gt;
 &lt;br /&gt;