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Crossbone tuning: Difference between revisions

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**Imported revision 516562562 - Original comment: **
Wikispaces>joeydinardo2
**Imported revision 516562800 - 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:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-18 18:05:34 UTC</tt>.<br>
: This revision was by author [[User:joeydinardo2|joeydinardo2]] and made on <tt>2014-07-18 18:08:46 UTC</tt>.<br>
: The original revision id was <tt>516562562</tt>.<br>
: The original revision id was <tt>516562800</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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//**__&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Example:&lt;/span&gt;__**//
//**__&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Example:&lt;/span&gt;__**//
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-17 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals&lt;/span&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-17 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals&lt;/span&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;where x is the corresponding member of the greater set and&lt;/span&gt;&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt; each interval having a distance of the corresponding lesser member raised by (1/x).&lt;/span&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).&lt;/span&gt;


&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^1/17 and 7^1/19, or 17EDP(Equally-divided pentave) and 19EDS(Equally-divided septave).&lt;/span&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^1/17 and 7^1/19, or 17EDP(Equally-divided pentave) and 19EDS(Equally-divided septave).&lt;/span&gt;


//__**&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Ordering:&lt;/span&gt;**__//
//__**&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Ordering:&lt;/span&gt;**__//
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Because Crossbone is, at heart, a system for deriving tunings, Crossbone'd sets are described by 'orders'.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Order is determined by the numerical indexing of valid prime sets suitable for Crossbone.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Order is determined by the numerical indexing of valid prime sets suitable for Crossbone.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{5,7}|{17,19} is of order 1.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{5,7}|{17,19} is of order 1.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{17,19}|{29,31} is of order 2.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{17,19}|{29,31} is of order 2.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;and so on.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;and so on.&lt;/span&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;There is currently no conjecture detailing the total possible number of orderings.&lt;/span&gt;


//**__&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Background:&lt;/span&gt;__**//
//**__&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Background:&lt;/span&gt;__**//
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&lt;em&gt;&lt;strong&gt;&lt;u&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Example:&lt;/span&gt;&lt;/u&gt;&lt;/strong&gt;&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;&lt;strong&gt;&lt;u&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Example:&lt;/span&gt;&lt;/u&gt;&lt;/strong&gt;&lt;/em&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-17 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Twin primes {5,7} and {17,19} represent a set of twin primes capable of being Crossbone'd, as both 17-5=12 and 19-17 = 12. Once a pair of permissible twin primes is composed, two temperaments are devised by taking each member of the lesser set and dividing it into x equi-distant intervals&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;where x is the corresponding member of the greater set and&lt;/span&gt;&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt; each interval having a distance of the corresponding lesser member raised by (1/x).&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;where x is the corresponding member of the greater set and each interval having a distance of the corresponding lesser member raised by (1/x).&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^1/17 and 7^1/19, or 17EDP(Equally-divided pentave) and 19EDS(Equally-divided septave).&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;For {5,7} and {17,19}, the yielded Crossbone Tuning would utilize both 5^1/17 and 7^1/19, or 17EDP(Equally-divided pentave) and 19EDS(Equally-divided septave).&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;&lt;u&gt;&lt;strong&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Ordering:&lt;/span&gt;&lt;/strong&gt;&lt;/u&gt;&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;&lt;u&gt;&lt;strong&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Ordering:&lt;/span&gt;&lt;/strong&gt;&lt;/u&gt;&lt;/em&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Because Crossbone is, at heart, a system for deriving tunings, Crossbone'd sets are described by 'orders'.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Order is determined by the numerical indexing of valid prime sets suitable for Crossbone.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Order is determined by the numerical indexing of valid prime sets suitable for Crossbone.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{5,7}|{17,19} is of order 1.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{5,7}|{17,19} is of order 1.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{17,19}|{29,31} is of order 2.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;{17,19}|{29,31} is of order 2.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;and so on.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;and so on.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;There is currently no conjecture detailing the total possible number of orderings.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;&lt;strong&gt;&lt;u&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Background:&lt;/span&gt;&lt;/u&gt;&lt;/strong&gt;&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;&lt;strong&gt;&lt;u&gt;&lt;span style="background-color: #ffffff; color: #444444; font-family: 'Open Sans','Helvetica Neue',Arial,Helvetica,sans-serif; font-size: 20px;"&gt;Background:&lt;/span&gt;&lt;/u&gt;&lt;/strong&gt;&lt;/em&gt;&lt;br /&gt;
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