Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 623953573 - Original comment: ** |
Wikispaces>TallKite **Imported revision 627987343 - 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:TallKite|TallKite]] and made on <tt> | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-03-25 06:12:25 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>627987343</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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=__Rank-2 Scales: 8ve Periods__= | =__Rank-2 Scales: 8ve Periods__= | ||
<span style="font-size: 150%;">This section is somewhat obsolete, see the [[pergen|pergens]] page instead.</span> | |||
Ups and downs can be used to notate rank-2 scales as well. Instead of edos like 12-edo, we'll be talking about **frameworks** like 12-tone. The generator chain is called a **genchain**. Fifth-generated rank-2 tunings can be notated without ups and downs in any framework on either side of the 4\7 kite (chroma 1 or -1): | Ups and downs can be used to notate rank-2 scales as well. Instead of edos like 12-edo, we'll be talking about **frameworks** like 12-tone. The generator chain is called a **genchain**. Fifth-generated rank-2 tunings can be notated without ups and downs in any framework on either side of the 4\7 kite (chroma 1 or -1): | ||
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=__Rank-2 Scales: Non-8ve Periods__= | =__Rank-2 Scales: Non-8ve Periods__= | ||
<span style="font-size: 24px;">This section is somewhat obsolete, see the [[pergen|pergens]] page instead.</span> | |||
Fractional-period rank-2 temperaments have multiple genchains running in parallel. Multiple genchains occur because a rank-2 genchain is really a 2 dimensional "genweb", running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. | Fractional-period rank-2 temperaments have multiple genchains running in parallel. Multiple genchains occur because a rank-2 genchain is really a 2 dimensional "genweb", running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. | ||
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=__Rank-2 Scales: Non-5th Generators__= | =__Rank-2 Scales: Non-5th Generators__= | ||
<span style="font-size: 24px;">This section is somewhat obsolete, see the [[pergen|pergens]] page instead.</span> | |||
An example of a rank-2 tuning with a non-fifth generator is porcupine. Porcupine in 22-tone is generated by the natural generator, the 2nd = 3\22. | An example of a rank-2 tuning with a non-fifth generator is porcupine. Porcupine in 22-tone is generated by the natural generator, the 2nd = 3\22. | ||
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<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Rank-2 Scales: 8ve Periods"></a><!-- ws:end:WikiTextHeadingRule:26 --><u>Rank-2 Scales: 8ve Periods</u></h1> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Rank-2 Scales: 8ve Periods"></a><!-- ws:end:WikiTextHeadingRule:26 --><u>Rank-2 Scales: 8ve Periods</u></h1> | ||
<br /> | <br /> | ||
<span style="font-size: 150%;">This section is somewhat obsolete, see the <a class="wiki_link" href="/pergen">pergens</a> page instead.</span><br /> | |||
<br /> | |||
Ups and downs can be used to notate rank-2 scales as well. Instead of edos like 12-edo, we'll be talking about <strong>frameworks</strong> like 12-tone. The generator chain is called a <strong>genchain</strong>. Fifth-generated rank-2 tunings can be notated without ups and downs in any framework on either side of the 4\7 kite (chroma 1 or -1):<br /> | Ups and downs can be used to notate rank-2 scales as well. Instead of edos like 12-edo, we'll be talking about <strong>frameworks</strong> like 12-tone. The generator chain is called a <strong>genchain</strong>. Fifth-generated rank-2 tunings can be notated without ups and downs in any framework on either side of the 4\7 kite (chroma 1 or -1):<br /> | ||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Rank-2 Scales: Non-8ve Periods"></a><!-- ws:end:WikiTextHeadingRule:28 --><u>Rank-2 Scales: Non-8ve Periods</u></h1> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Rank-2 Scales: Non-8ve Periods"></a><!-- ws:end:WikiTextHeadingRule:28 --><u>Rank-2 Scales: Non-8ve Periods</u></h1> | ||
<br /> | <br /> | ||
<span style="font-size: 24px;">This section is somewhat obsolete, see the <a class="wiki_link" href="/pergen">pergens</a> page instead.</span><br /> | |||
<br /> | |||
Fractional-period rank-2 temperaments have multiple genchains running in parallel. Multiple genchains occur because a rank-2 genchain is really a 2 dimensional &quot;genweb&quot;, running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally.<br /> | Fractional-period rank-2 temperaments have multiple genchains running in parallel. Multiple genchains occur because a rank-2 genchain is really a 2 dimensional &quot;genweb&quot;, running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally.<br /> | ||
F2 --- C3 --- G3 --- D4 --- A4 --- E5 --- B5<br /> | F2 --- C3 --- G3 --- D4 --- A4 --- E5 --- B5<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Rank-2 Scales: Non-5th Generators"></a><!-- ws:end:WikiTextHeadingRule:30 --><u>Rank-2 Scales: Non-5th Generators</u></h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Rank-2 Scales: Non-5th Generators"></a><!-- ws:end:WikiTextHeadingRule:30 --><u>Rank-2 Scales: Non-5th Generators</u></h1> | ||
<br /> | <br /> | ||
<span style="font-size: 24px;">This section is somewhat obsolete, see the <a class="wiki_link" href="/pergen">pergens</a> page instead.</span><br /> | |||
<br /> | |||
An example of a rank-2 tuning with a non-fifth generator is porcupine. Porcupine in 22-tone is generated by the natural generator, the 2nd = 3\22.<br /> | An example of a rank-2 tuning with a non-fifth generator is porcupine. Porcupine in 22-tone is generated by the natural generator, the 2nd = 3\22.<br /> | ||
Genchain: A# B# C# D# E# F# G# A B C D E F G Ab Bb Cb Db Eb Fb Gb<br /> | Genchain: A# B# C# D# E# F# G# A B C D E F G Ab Bb Cb Db Eb Fb Gb<br /> | ||