Crossbone tuning: Difference between revisions

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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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;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;It is such that the 19th root of 7 and the 17th root of 5 share a unique correspondence, being both reasonable in harmonic range and distance, the pentave and septave ending between the 2nd and 3rd octave in 17 or 19 steps respectively. Because the temperaments are coordinated in Crossbone, each combination of septave and pentave I refer to as a '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;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;

<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;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;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;

&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;It is such that the 19th root of 7 and the 17th root of 5 share a unique correspondence, being both reasonable in harmonic range and distance, the pentave and septave ending between the 2nd and 3rd octave in 17 or 19 steps respectively. Because the temperaments are coordinated in Crossbone, each combination of septave and pentave I refer to as a 'sepent'.&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;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;

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