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Orwell on an isomorphic keyboard: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 302258482 - Original comment: **
 
Wikispaces>Andrew_Heathwaite
**Imported revision 302264700 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-02-15 23:13:15 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-02-15 23:44:06 UTC</tt>.<br>
: The original revision id was <tt>302258482</tt>.<br>
: The original revision id was <tt>302264700</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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The following Scala file is specifically for the Axis-49, which, in "selfless mode," can send a separate midi note on each of its 98 keys from note numbers 1 to 98. The tuning file will only work if it is set to start on midi note 1 ("C# -2" in "MIDI Standard", "C# -1" in "ISO 16:1975", and "C# 0" in "Cakewalk standard" -- see [[@http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html|here]] for details on the variety of MIDI note-naming schemes). You can tell it's working if the same shape consistently produces the same pattern of intervals, i.e. if it is regularly mapped. It is left to the reader to choose a suitable base frequency for their purposes.
The following Scala file is specifically for the Axis-49, which, in "selfless mode," can send a separate midi note on each of its 98 keys from note numbers 1 to 98. The tuning file will only work if it is set to start on midi note 1 ("C# -2" in "MIDI Standard", "C# -1" in "ISO 16:1975", and "C# 0" in "Cakewalk standard" -- see [[@http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html|here]] for details on the variety of MIDI note-naming schemes). You can tell it's working if the same shape consistently produces the same pattern of intervals, i.e. if it is regularly mapped. It is left to the reader to choose a suitable base frequency for their purposes.
= = = = =


! orwell53edo_-113x272_axis49.scl
! orwell53edo_-113x272_axis49.scl
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The Axis-49 has 98 velocity-sensitive buttons arranged in a honeycomb pattern. One key mapping for Orwell Temperament on the Axis-49 maps the Orwell generator (approx. 272¢) to one move of &amp;quot;down and to the right&amp;quot; and the octave period to one move of &amp;quot;up and to the right&amp;quot; and three moves of &amp;quot;down and to the right&amp;quot;. This gives the Orwell[13] &lt;a class="wiki_link" href="/MOSScales"&gt;MOS scale&lt;/a&gt; the following shape on the Axis-49 keyboard:&lt;br /&gt;
The Axis-49 has 98 velocity-sensitive buttons arranged in a honeycomb pattern. One key mapping for Orwell Temperament on the Axis-49 maps the Orwell generator (approx. 272¢) to one move of &amp;quot;down and to the right&amp;quot; and the octave period to one move of &amp;quot;up and to the right&amp;quot; and three moves of &amp;quot;down and to the right&amp;quot;. This gives the Orwell[13] &lt;a class="wiki_link" href="/MOSScales"&gt;MOS scale&lt;/a&gt; the following shape on the Axis-49 keyboard:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:10:&amp;lt;img src=&amp;quot;/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png" alt="orwell13_axis49.png" title="orwell13_axis49.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:10 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:12:&amp;lt;img src=&amp;quot;/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png" alt="orwell13_axis49.png" title="orwell13_axis49.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:12 --&gt;&lt;br /&gt;
We can see from the diagram that just over four octaves are available on the Axis-49 keyboard (more on the Axis-64 or on other larger isomorphic keyboards). Note that the numbers above indicate multiples of the orwell generator (NOT ascending pitch order), ignoring octaves. Each duplicate number to the right is one octave higher than its counterpart to the left. The starting place is arbitrary; if we select another hex to be 0, we can build another orwell[13] scale. Note also that the choice to focus here on the 13-tone MOS is also somewhat arbitrary, as clearly more tones are available on the keyboard, represented by the hexes outlined in gray with no number.&lt;br /&gt;
We can see from the diagram that just over four octaves are available on the Axis-49 keyboard (more on the Axis-64 or on other larger isomorphic keyboards). Note that the numbers above indicate multiples of the orwell generator (NOT ascending pitch order), ignoring octaves. Each duplicate number to the right is one octave higher than its counterpart to the left. The starting place is arbitrary; if we select another hex to be 0, we can build another orwell[13] scale. Note also that the choice to focus here on the 13-tone MOS is also somewhat arbitrary, as clearly more tones are available on the keyboard, represented by the hexes outlined in gray with no number.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49-Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49-Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h2&gt;
  &lt;br /&gt;
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&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49-Hexads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Hexads&lt;/h2&gt;
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The following Scala file is specifically for the Axis-49, which, in &amp;quot;selfless mode,&amp;quot; can send a separate midi note on each of its 98 keys from note numbers 1 to 98. The tuning file will only work if it is set to start on midi note 1 (&amp;quot;C# -2&amp;quot; in &amp;quot;MIDI Standard&amp;quot;, &amp;quot;C# -1&amp;quot; in &amp;quot;ISO 16:1975&amp;quot;, and &amp;quot;C# 0&amp;quot; in &amp;quot;Cakewalk standard&amp;quot; -- see &lt;a class="wiki_link_ext" href="http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html" rel="nofollow" target="_blank"&gt;here&lt;/a&gt; for details on the variety of MIDI note-naming schemes). You can tell it's working if the same shape consistently produces the same pattern of intervals, i.e. if it is regularly mapped. It is left to the reader to choose a suitable base frequency for their purposes.&lt;br /&gt;
The following Scala file is specifically for the Axis-49, which, in &amp;quot;selfless mode,&amp;quot; can send a separate midi note on each of its 98 keys from note numbers 1 to 98. The tuning file will only work if it is set to start on midi note 1 (&amp;quot;C# -2&amp;quot; in &amp;quot;MIDI Standard&amp;quot;, &amp;quot;C# -1&amp;quot; in &amp;quot;ISO 16:1975&amp;quot;, and &amp;quot;C# 0&amp;quot; in &amp;quot;Cakewalk standard&amp;quot; -- see &lt;a class="wiki_link_ext" href="http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html" rel="nofollow" target="_blank"&gt;here&lt;/a&gt; for details on the variety of MIDI note-naming schemes). You can tell it's working if the same shape consistently produces the same pattern of intervals, i.e. if it is regularly mapped. It is left to the reader to choose a suitable base frequency for their purposes.&lt;br /&gt;
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! orwell53edo_-113x272_axis49.scl&lt;br /&gt;
! orwell53edo_-113x272_axis49.scl&lt;br /&gt;
A regular mapping of Orwell Temperament (53edo version) for the Axis-49 isomorphic keyboard.&lt;br /&gt;
A regular mapping of Orwell Temperament (53edo version) for the Axis-49 isomorphic keyboard.&lt;br /&gt;
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-339.622644&lt;br /&gt;
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-566.037740000001&lt;br /&gt;
-566.03774&lt;br /&gt;
-679.245288&lt;br /&gt;
-679.245288&lt;br /&gt;
271.698113&lt;br /&gt;
271.698113&lt;br /&gt;
158.490565&lt;br /&gt;
158.490565&lt;br /&gt;
45.2830169999997&lt;br /&gt;
45.283017&lt;br /&gt;
-67.9245310000001&lt;br /&gt;
-67.924531&lt;br /&gt;
-181.132079&lt;br /&gt;
-181.132079&lt;br /&gt;
-294.339627&lt;br /&gt;
-294.339627&lt;br /&gt;
-407.547175000001&lt;br /&gt;
-407.547175&lt;br /&gt;
656.603774&lt;br /&gt;
656.603774&lt;br /&gt;
543.396226&lt;br /&gt;
543.396226&lt;br /&gt;
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316.98113&lt;br /&gt;
316.98113&lt;br /&gt;
203.773582&lt;br /&gt;
203.773582&lt;br /&gt;
90.5660339999995&lt;br /&gt;
90.566034&lt;br /&gt;
-22.6415140000008&lt;br /&gt;
-22.641514&lt;br /&gt;
928.301887&lt;br /&gt;
928.301887&lt;br /&gt;
815.094339&lt;br /&gt;
815.094339&lt;br /&gt;
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860.377356&lt;br /&gt;
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747.169808&lt;br /&gt;
747.169808&lt;br /&gt;
633.962259999999&lt;br /&gt;
633.96226&lt;br /&gt;
1584.905661&lt;br /&gt;
1584.905661&lt;br /&gt;
1471.698113&lt;br /&gt;
1471.698113&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/Orwell_on_an_isomorphic_keyboard"