Crossbone tuning: 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:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:46:10 UTC</tt>.

: This revision was by author [[User:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:48:38 UTC</tt>.

: The original revision id was <tt>~~516324968~~</tt>.

: The original revision id was <tt>516325100</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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//Background://

__//**Background**://__

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Crossbone Tuning was inspired by the fact that primes share a special relationship when seperated by the integer twelve. Using a prime number wheel -a face with 24 repeating integers equally spaced over 2pi- this special relationship is easily visualized. We are familiar with the special relationships prime numbers have to music, and we understand the relationship certain primes share with each other as just described, so it is not unfeasable that prime relationships in communication with one another also share musical significance.

//Crossbone Temperament://

__**//Crossbone Temperament://**__

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[[image:crossbonepiano.png width="800" height="154"]]</pre></div>

[[image:crossbonepiano.png width="800" height="154"]]

__**//Crossbone Lattice://**__

[[image:tessa.png width="435" height="327" align="center"]]

The Crossbone Lattice is a 4-dimensional lattice generated using the 5-limit, 7-limit, 17-limit, and 19-limit. By not including the 3-limit (but still implying the octave) and skipping over the 11 and 13 limits, we can arrive at very unique and interesting destinations.

Because the lattice is octave-based and generated using the Crossbone primes, represented as harmonics, and doesn't enforce a relationship between them -as in Crossbone Temperament-, the relationship between the lattice and the temperament should be considered tangential, and the usage of the lattice considered novel. I personally use it simply to add 17 and 19 limit 'spice' to certain intervals generated using my 3rds and 7ths. Arriving at destinations by combination of 3rd and 7ths without piggybacking on the 5th I find to be very satisfying.</pre></div>

<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>Crossbone Tuning</title></head><body>Crossbone Tuning is a coordinated tuning (intended to be used simultaneously) using the 19th root of the 7th harmonic (septave) and the 17th root of the 5th harmonic (pentave). Crossbone is expressed through various formats: as two coordinated equally divided harmonic intervals (Crossbone Temperament), as a 19-limit lattice (Crossbone Lattice), and as an octave-repeating, singular 'just' 12-tone version derived by eliminating the pure harmonic approximations within the first septave and pentave. (Crossbone Scale)

Background:

Background:

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Crossbone Tuning was inspired by the fact that primes share a special relationship when seperated by the integer twelve. Using a prime number wheel -a face with 24 repeating integers equally spaced over 2pi- this special relationship is easily visualized. We are familiar with the special relationships prime numbers have to music, and we understand the relationship certain primes share with each other as just described, so it is not unfeasable that prime relationships in communication with one another also share musical significance.

Crossbone Temperament:

Crossbone Temperament:

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<img src="/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png" alt="crossbonepiano.png" title="crossbonepiano.png" style="height: 154px; width: 800px;" /></body></html></pre></div>

<img src="/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png" alt="crossbonepiano.png" title="crossbonepiano.png" style="height: 154px; width: 800px;" />

Crossbone Lattice:

<div style="text-align: center"><img src="/file/view/tessa.png/516325086/435x327/tessa.png" alt="tessa.png" title="tessa.png" style="height: 327px; width: 435px;" /></div>

The Crossbone Lattice is a 4-dimensional lattice generated using the 5-limit, 7-limit, 17-limit, and 19-limit. By not including the 3-limit (but still implying the octave) and skipping over the 11 and 13 limits, we can arrive at very unique and interesting destinations.

Because the lattice is octave-based and generated using the Crossbone primes, represented as harmonics, and doesn't enforce a relationship between them -as in Crossbone Temperament-, the relationship between the lattice and the temperament should be considered tangential, and the usage of the lattice considered novel. I personally use it simply to add 17 and 19 limit 'spice' to certain intervals generated using my 3rds and 7ths. Arriving at destinations by combination of 3rd and 7ths without piggybacking on the 5th I find to be very satisfying.</body></html></pre></div>

@@ 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:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:46:10 UTC</tt>.<br>
+: This revision was by author [[User:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:48:38 UTC</tt>.<br>
-: The original revision id was <tt>516324968</tt>.<br>
+: The original revision id was <tt>516325100</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 9: / Line 9: @@
-&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;//Background://&lt;/span&gt;
+__&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;//**Background**://&lt;/span&gt;__
@@ Line 15: / Line 15: @@
 &lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;Crossbone Tuning was inspired by the fact that primes share a special relationship when seperated by the integer twelve. Using a prime number wheel -a face with 24 repeating integers equally spaced over 2pi- this special relationship is easily visualized. We are familiar with the special relationships prime numbers have to music, and we understand the relationship certain primes share with each other as just described, so it is not unfeasable that prime relationships in communication with one another also share musical significance.&lt;/span&gt;
-&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;//Crossbone Temperament://&lt;/span&gt;
+__**&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;//Crossbone Temperament://&lt;/span&gt;**__
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-[[image:crossbonepiano.png width="800" height="154"]]</pre></div>
+[[image:crossbonepiano.png width="800" height="154"]]
+__**//&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Crossbone Lattice:&lt;/span&gt;//**__
+[[image:tessa.png width="435" height="327" align="center"]]
+&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;The Crossbone Lattice is a 4-dimensional lattice generated using the 5-limit, 7-limit, 17-limit, and 19-limit. By not including the 3-limit (but still implying the octave) and skipping over the 11 and 13 limits, we can arrive at very unique and interesting destinations.&lt;/span&gt;
+&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Because the lattice is octave-based and generated using the Crossbone primes, represented as harmonics, and doesn't enforce a relationship between them -as in Crossbone Temperament-, the relationship between the lattice and the temperament should be considered tangential, and the usage of the lattice considered novel. I personally use it simply to add 17 and 19 limit 'spice' to certain intervals generated using my 3rds and 7ths. Arriving at destinations by combination of 3rd and 7ths without piggybacking on the 5th I find to be very satisfying.&lt;/span&gt;</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Crossbone Tuning&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="background-color: #f6f5f1; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Crossbone Tuning is a coordinated tuning (intended to be used simultaneously) using the 19th root of the 7th harmonic (septave) and the 17th root of the 5th harmonic (pentave). Crossbone is expressed through various formats: as two coordinated equally divided harmonic intervals (Crossbone Temperament), as a 19-limit lattice (Crossbone Lattice), and as an octave-repeating, singular 'just' 12-tone version derived by eliminating the pure harmonic approximations within the first septave and pentave. (Crossbone Scale)&lt;/span&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;
-&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;&lt;em&gt;Background:&lt;/em&gt;&lt;/span&gt;&lt;br /&gt;
+&lt;u&gt;&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;&lt;em&gt;&lt;strong&gt;Background&lt;/strong&gt;:&lt;/em&gt;&lt;/span&gt;&lt;/u&gt;&lt;br /&gt;
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 &lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;Crossbone Tuning was inspired by the fact that primes share a special relationship when seperated by the integer twelve. Using a prime number wheel -a face with 24 repeating integers equally spaced over 2pi- this special relationship is easily visualized. We are familiar with the special relationships prime numbers have to music, and we understand the relationship certain primes share with each other as just described, so it is not unfeasable that prime relationships in communication with one another also share musical significance.&lt;/span&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;&lt;em&gt;Crossbone Temperament:&lt;/em&gt;&lt;/span&gt;&lt;br /&gt;
+&lt;u&gt;&lt;strong&gt;&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px; vertical-align: baseline;"&gt;&lt;em&gt;Crossbone Temperament:&lt;/em&gt;&lt;/span&gt;&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
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-&lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 154px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png" alt="crossbonepiano.png" title="crossbonepiano.png" style="height: 154px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 154px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/crossbonepiano.png/516324958/800x154/crossbonepiano.png" alt="crossbonepiano.png" title="crossbonepiano.png" style="height: 154px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;br /&gt;
+&lt;br /&gt;
+&lt;u&gt;&lt;strong&gt;&lt;em&gt;&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Crossbone Lattice:&lt;/span&gt;&lt;/em&gt;&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:1:&amp;lt;div style=&amp;quot;text-align: center&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;/file/view/tessa.png/516325086/435x327/tessa.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 327px; width: 435px;&amp;quot; /&amp;gt;&amp;lt;/div&amp;gt; --&gt;&lt;div style="text-align: center"&gt;&lt;img src="/file/view/tessa.png/516325086/435x327/tessa.png" alt="tessa.png" title="tessa.png" style="height: 327px; width: 435px;" /&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1 --&gt;&lt;br /&gt;
+&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;The Crossbone Lattice is a 4-dimensional lattice generated using the 5-limit, 7-limit, 17-limit, and 19-limit. By not including the 3-limit (but still implying the octave) and skipping over the 11 and 13 limits, we can arrive at very unique and interesting destinations.&lt;/span&gt;&lt;br /&gt;
+&lt;br /&gt;
+&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Because the lattice is octave-based and generated using the Crossbone primes, represented as harmonics, and doesn't enforce a relationship between them -as in Crossbone Temperament-, the relationship between the lattice and the temperament should be considered tangential, and the usage of the lattice considered novel. I personally use it simply to add 17 and 19 limit 'spice' to certain intervals generated using my 3rds and 7ths. Arriving at destinations by combination of 3rd and 7ths without piggybacking on the 5th I find to be very satisfying.&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>