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 19:48:38 UTC</tt>.

: This revision was by author [[User:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:50:19 UTC</tt>.

: The original revision id was <tt>~~516325100~~</tt>.

: The original revision id was <tt>516325198</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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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>

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.

//Crossbone Scale (1st sepent)://

The Crossbone Scale is an octave-repeating simplified version of the Crossbone Temperament, forcing the intervals found within the sepent into a 12-tone octave-repeating scale. Within the first sepent, when one simply neglects including the harmonic approximations (and the 128/125 anamoly), he is left with 12 just 7-limit ratios between 1/1 and 2/1: [[image:crossbonepiano12scale.png width="360" height="342" align="right"]]

•**1/1** - tonic

•**16/15** - major 5-limit half-step

•**7/6** - septimal minor third

•**5/4** - 5-limit major third

•**9/7** - septimal major third

•**10/7** - septimal tritone

•**3/2** - perfect fifth

•**14/9** - septimal minor sixth

•**5/3** - 5-limit major sixth

•**12/7** - septimal major sixth

•**7/4** - septimal minor seventh

•**15/8** - 5-limit major 7th

Because the scale is octave-repeating (though derived from the sepent), all sorts of 7-limit inversional fun can be had, and because it is 12-tone, it can be played on a standard keyboard.

//Final Thoughts://

In the near future it would be wise to create a partner scale to the Crossbone Scale based on the 11-limit 2nd sepent as well as extend the current Crossbone Temperament to a full four sepents (the near limit of human hearing). Ideally, I would like to build two 6-octave (72-key) midi controllers with the alternative key color schema (piano-harpsichord alternation) to represent 4 full sepents. Time will tell ☺</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)

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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>

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.

Crossbone Scale (1st sepent):

The Crossbone Scale is an octave-repeating simplified version of the Crossbone Temperament, forcing the intervals found within the sepent into a 12-tone octave-repeating scale. Within the first sepent, when one simply neglects including the harmonic approximations (and the 128/125 anamoly), he is left with 12 just 7-limit ratios between 1/1 and 2/1: <img src="/file/view/crossbonepiano12scale.png/516325150/360x342/crossbonepiano12scale.png" alt="crossbonepiano12scale.png" title="crossbonepiano12scale.png" style="height: 342px; width: 360px;" align="right" />

•1/1 - tonic

•16/15 - major 5-limit half-step

•7/6 - septimal minor third

•5/4 - 5-limit major third

•9/7 - septimal major third

•10/7 - septimal tritone

•3/2 - perfect fifth

•14/9 - septimal minor sixth

•5/3 - 5-limit major sixth

•12/7 - septimal major sixth

•7/4 - septimal minor seventh

•15/8 - 5-limit major 7th

Because the scale is octave-repeating (though derived from the sepent), all sorts of 7-limit inversional fun can be had, and because it is 12-tone, it can be played on a standard keyboard.

Final Thoughts:

In the near future it would be wise to create a partner scale to the Crossbone Scale based on the 11-limit 2nd sepent as well as extend the current Crossbone Temperament to a full four sepents (the near limit of human hearing). Ideally, I would like to build two 6-octave (72-key) midi controllers with the alternative key color schema (piano-harpsichord alternation) to represent 4 full sepents. Time will tell ☺</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 19:48:38 UTC</tt>.<br>
+: This revision was by author [[User:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-15 19:50:19 UTC</tt>.<br>
-: The original revision id was <tt>516325100</tt>.<br>
+: The original revision id was <tt>516325198</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 35: / Line 35: @@
 &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>
+&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;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Crossbone Scale (1st sepent):&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;The Crossbone Scale is an octave-repeating simplified version of the Crossbone Temperament, forcing the intervals found within the sepent into a 12-tone octave-repeating scale. Within the first sepent, when one simply neglects including the harmonic approximations (and the 128/125 anamoly), he is left with 12 just 7-limit ratios between 1/1 and 2/1: &lt;/span&gt;[[image:crossbonepiano12scale.png width="360" height="342" align="right"]]
+&lt;span style="background-color: #f6f5f1; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;•&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;1/1&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; - tonic &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;•&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;16/15&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; - major 5-limit half-step &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;•&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;7/6&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; - septimal minor third &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;•&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;5/4&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; - 5-limit major third &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;•&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;9/7&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; - septimal major third &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;•&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;10/7&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; - septimal tritone &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;•&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;3/2&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; - perfect fifth &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;•&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;14/9&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; - septimal minor sixth &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;•&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;5/3&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; - 5-limit major sixth &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;•&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;12/7&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; - septimal major sixth &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;•&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;7/4&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; - septimal minor seventh &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;•&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;15/8&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; - 5-limit major 7th &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 scale is octave-repeating (though derived from the sepent), all sorts of 7-limit inversional fun can be had, and because it is 12-tone, it can be played on a standard keyboard. &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;Final Thoughts:&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;In the near future it would be wise to create a partner scale to the Crossbone Scale based on the 11-limit 2nd sepent as well as extend the current Crossbone Temperament to a full four sepents (the near limit of human hearing). Ideally, I would like to build two 6-octave (72-key) midi controllers with the alternative key color schema (piano-harpsichord alternation) to represent 4 full sepents. Time will tell ☺&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;
@@ Line 65: / Line 86: @@
 &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>
+&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;br /&gt;
+&lt;br /&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 Scale (1st sepent):&lt;/span&gt;&lt;/em&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 Scale is an octave-repeating simplified version of the Crossbone Temperament, forcing the intervals found within the sepent into a 12-tone octave-repeating scale. Within the first sepent, when one simply neglects including the harmonic approximations (and the 128/125 anamoly), he is left with 12 just 7-limit ratios between 1/1 and 2/1: &lt;/span&gt;&lt;!-- ws:start:WikiTextLocalImageRule:2:&amp;lt;img src=&amp;quot;/file/view/crossbonepiano12scale.png/516325150/360x342/crossbonepiano12scale.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 342px; width: 360px;&amp;quot; align=&amp;quot;right&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/crossbonepiano12scale.png/516325150/360x342/crossbonepiano12scale.png" alt="crossbonepiano12scale.png" title="crossbonepiano12scale.png" style="height: 342px; width: 360px;" align="right" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:2 --&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;•&lt;/span&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;"&gt;1/1&lt;/span&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;"&gt; - tonic &lt;/span&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;•&lt;/span&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;"&gt;16/15&lt;/span&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;"&gt; - major 5-limit half-step &lt;/span&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;•&lt;/span&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;"&gt;7/6&lt;/span&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;"&gt; - septimal minor third &lt;/span&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;•&lt;/span&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;"&gt;5/4&lt;/span&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;"&gt; - 5-limit major third &lt;/span&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;•&lt;/span&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;"&gt;9/7&lt;/span&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;"&gt; - septimal major third &lt;/span&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;•&lt;/span&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;"&gt;10/7&lt;/span&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;"&gt; - septimal tritone &lt;/span&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;•&lt;/span&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;"&gt;3/2&lt;/span&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;"&gt; - perfect fifth &lt;/span&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;•&lt;/span&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;"&gt;14/9&lt;/span&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;"&gt; - septimal minor sixth &lt;/span&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;•&lt;/span&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;"&gt;5/3&lt;/span&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;"&gt; - 5-limit major sixth &lt;/span&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;•&lt;/span&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;"&gt;12/7&lt;/span&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;"&gt; - septimal major sixth &lt;/span&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;•&lt;/span&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;"&gt;7/4&lt;/span&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;"&gt; - septimal minor seventh &lt;/span&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;•&lt;/span&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;"&gt;15/8&lt;/span&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;"&gt; - 5-limit major 7th &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 scale is octave-repeating (though derived from the sepent), all sorts of 7-limit inversional fun can be had, and because it is 12-tone, it can be played on a standard keyboard. &lt;/span&gt;&lt;br /&gt;
+&lt;br /&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;Final Thoughts:&lt;/span&gt;&lt;/em&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;In the near future it would be wise to create a partner scale to the Crossbone Scale based on the 11-limit 2nd sepent as well as extend the current Crossbone Temperament to a full four sepents (the near limit of human hearing). Ideally, I would like to build two 6-octave (72-key) midi controllers with the alternative key color schema (piano-harpsichord alternation) to represent 4 full sepents. Time will tell ☺&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>