Orwell on an isomorphic keyboard - Revision history

FloraC: Cleanup, style, and fix dead links.

2024-10-17T14:49:30Z

Cleanup, style, and fix dead links.

← Older revision		Revision as of 14:49, 17 October 2024
Line 1:		Line 1:
	Isomorphic [[~~Microtonal_Keyboards\|~~keyboard]] layouts can be useful for playing and composing in [[~~Orwell\|Orwell~~]] and other [[~~Regular_Temperaments\|~~regular ~~temperaments~~]]. As pitch space in rank-2 ~~temperaments~~ is 2-dimensional, the structure can be directly mapped to a 2-dimensional array of keys.		Isomorphic [[keyboard]] layouts can be useful for playing and composing in [[orwell]] and other [[regular temperament]]s. As pitch space in [[rank-2 temperament]]s is 2-dimensional, the structure can be directly mapped to a 2-dimensional array of keys.

	=Axis-49=		== Axis-49 ==

	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 "down and to the right" and the octave period to one move of "up and to the right" and three moves of "down and to the right". This gives the Orwell[13] [[~~MOSScales\|MOS~~ scale]] the following shape on the Axis-49 keyboard:		The Axis-49 has 98 velocity-sensitive buttons arranged in a honeycomb pattern. One key mapping for orwell on the Axis-49 maps the orwell generator (approx. 272¢) to one move of "down and to the right" and the octave period to one move of "up and to the right" and three moves of "down and to the right". This gives the Orwell[13] [[mos scale]] the following shape on the Axis-49 keyboard:

	[[File:orwell13_axis49.png\|alt=orwell13_axis49.png\|orwell13_axis49.png]]		[[File:orwell13_axis49.png\|alt=orwell13_axis49.png\|orwell13_axis49.png]]

	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.		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.

	To help with visualizing what an Orwell[13] "chromatic scale" looks like, note that the pitches in ascending order go: 0 9 5 1 10 6 2 11 7 3 12 8 4 0. The large step of Orwell[13] maps to one move upward (as well as -4 generators, eg. 8 to 4). The small step of Orwell[13] maps to two moves downward and one move "down and to the right" (as well as +9 generators, eg. 1 to 10). Thus, this (or any) 2-dimensional regular arrangement of the Orwell[13] scale makes it easy to distinguish between the two different step sizes, as they are represented by different "moves" on the keyboard.		To help with visualizing what an Orwell[13] "chromatic scale" looks like, note that the pitches in ascending order go: 0 9 5 1 10 6 2 11 7 3 12 8 4 0. The large step of Orwell[13] maps to one move upward (as well as -4 generators, e.g. 8 to 4). The small step of Orwell[13] maps to two moves downward and one move "down and to the right" (as well as +9 generators, e.g. 1 to 10). Thus, this (or any) 2-dimensional regular arrangement of the Orwell[13] scale makes it easy to distinguish between the two different step sizes, as they are represented by different "moves" on the keyboard.

	=Dyadic ~~Pentads~~ and ~~Hexads~~ of Orwell[13] on the Axis-49=		== Dyadic pentads and hexads of Orwell[13] on the Axis-49 ==

	The page [[~~Chords_of_orwell\|~~Chords of ~~Orwell~~]] offers one system for identifying and naming [[~~Dyadic_chord\|~~dyadic ~~chords~~]] available in ~~Orwell Temperament~~. The following diagrams show how some of those chords would map to an Axis-49 (or similar keyboard, eg. Opal Chameleon) tuned as above. These diagrams only look at the pentads and hexads available in Orwell[13]. The "chords of orwell" page also lists triads and tetrads, as well as chords which require a generator chain larger than that of Orwell[13]. The "types" come from the "chords of orwell" page and say something about which commas must be tempered out (if any) for this chord to be possible.		The page [[Chords of orwell]] offers one system for identifying and naming [[dyadic chord]]s available in orwell. The following diagrams show how some of those chords would map to an Axis-49 (or similar keyboard, e.g. Opal Chameleon) tuned as above. These diagrams only look at the pentads and hexads available in Orwell[13]. The "chords of orwell" page also lists triads and tetrads, as well as chords which require a generator chain larger than that of Orwell[13]. The "types" come from the "chords of orwell" page and say something about which commas must be tempered out (if any) for this chord to be possible.

	At the time of writing, the essentially-tempered dyadic chords of ~~Orwell Temperament~~ have been little explored; perhaps these diagrams will give isomorphic keyboardists some encouragement to explore them.		At the time of writing, the essentially-tempered dyadic chords of orwell have been little explored; perhaps these diagrams will give isomorphic keyboardists some encouragement to explore them.

	==Pentads==		=== Pentads ===

	[[File:orwell13_pentad01.png\|alt=orwell13_pentad01.png\|orwell13_pentad01.png]][[File:orwell13_pentad02.png\|alt=orwell13_pentad02.png\|orwell13_pentad02.png]][[File:orwell13_pentad03.png\|alt=orwell13_pentad03.png\|orwell13_pentad03.png]]		[[File:orwell13_pentad01.png\|alt=orwell13_pentad01.png\|orwell13_pentad01.png]][[File:orwell13_pentad02.png\|alt=orwell13_pentad02.png\|orwell13_pentad02.png]][[File:orwell13_pentad03.png\|alt=orwell13_pentad03.png\|orwell13_pentad03.png]]
Line 43:		Line 43:
	[[File:orwell13_pentad34.png\|alt=orwell13_pentad34.png\|orwell13_pentad34.png]][[File:orwell13_pentad35.png\|alt=orwell13_pentad35.png\|orwell13_pentad35.png]]		[[File:orwell13_pentad34.png\|alt=orwell13_pentad34.png\|orwell13_pentad34.png]][[File:orwell13_pentad35.png\|alt=orwell13_pentad35.png\|orwell13_pentad35.png]]

	==Hexads==		=== Hexads ===

	[[File:orwell13_hexad01.png\|alt=orwell13_hexad01.png\|orwell13_hexad01.png]][[File:orwell13_hexad02.png\|alt=orwell13_hexad02.png\|orwell13_hexad02.png]][[File:orwell13_hexad03.png\|alt=orwell13_hexad03.png\|orwell13_hexad03.png]]		[[File:orwell13_hexad01.png\|alt=orwell13_hexad01.png\|orwell13_hexad01.png]][[File:orwell13_hexad02.png\|alt=orwell13_hexad02.png\|orwell13_hexad02.png]][[File:orwell13_hexad03.png\|alt=orwell13_hexad03.png\|orwell13_hexad03.png]]
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	[[File:orwell13_hexad04.png\|alt=orwell13_hexad04.png\|orwell13_hexad04.png]][[File:orwell13_hexad05.png\|alt=orwell13_hexad05.png\|orwell13_hexad05.png]][[File:orwell13_hexad06.png\|alt=orwell13_hexad06.png\|orwell13_hexad06.png]]		[[File:orwell13_hexad04.png\|alt=orwell13_hexad04.png\|orwell13_hexad04.png]][[File:orwell13_hexad05.png\|alt=orwell13_hexad05.png\|orwell13_hexad05.png]][[File:orwell13_hexad06.png\|alt=orwell13_hexad06.png\|orwell13_hexad06.png]]

	=Scala file=		== Scala file ==

	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 [https://web.archive.org/web/20120712062657/http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html this article] for details on the variety of MIDI note-naming schemes). You can tell it is 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.

	<pre>		<pre>
	! orwell53edo_-113x272_axis49.scl		! orwell53edo_-113x272_axis49.scl
	A regular mapping of ~~Orwell Temperament~~ (53edo version) for the Axis-49 isomorphic keyboard.		A regular mapping of orwell temperament (53edo version) for the Axis-49 isomorphic keyboard.
	97		97
	!		!

FloraC: FloraC moved page Orwell on an Isomorphic Keyboard to Orwell on an isomorphic keyboard: WP:NCCAPS

2024-10-17T14:30:51Z

FloraC moved page Orwell on an Isomorphic Keyboard to Orwell on an isomorphic keyboard: WP:NCCAPS

← Older revision	Revision as of 14:30, 17 October 2024
(No difference)

Dummy index: +categories

2022-01-14T15:48:21Z

+categories

← Older revision		Revision as of 15:48, 14 January 2022
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	3532.075469		3532.075469
	</pre>		</pre>

			[[Category:Pages with Scala files]]
			[[Category:Orwell]]

Spt3125: minor format fixes

2018-09-19T02:45:38Z

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2018-07-17T00:00:00Z

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Wikispaces>Andrew_Heathwaite: Imported revision 302264700 - Original comment:

2012-02-15T23:44:06Z

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Wikispaces>Andrew_Heathwaite: Imported revision 302258482 - Original comment:

2012-02-15T23:13:15Z

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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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-02-15 23:13:15 UTC</tt>. 
: The original revision id was <tt>302258482</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. 
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Isomorphic [[microtonal keyboards|keyboard]] layouts can be useful for playing and composing in [[Orwell]] and other [[regular temperaments]]. As pitch space in rank-2 temperaments is 2-dimensional, the structure can be directly mapped to a 2-dimensional array of keys.

=Axis-49=

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 "down and to the right" and the octave period to one move of "up and to the right" and three moves of "down and to the right". This gives the Orwell[13] [[MOSScales|MOS scale]] the following shape on the Axis-49 keyboard:

[[image:orwell13_axis49.png]]
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.

To help with visualizing what an Orwell[13] "chromatic scale" looks like, note that the pitches in ascending order go: 0 9 5 1 10 6 2 11 7 3 12 8 4 0. The large step of Orwell[13] maps to one move upward (as well as -4 generators, eg. 8 to 4). The small step of Orwell[13] maps to two moves downward and one move "down and to the right" (as well as +9 generators, eg. 1 to 10). Thus, this (or any) 2-dimensional regular arrangement of the Orwell[13] scale makes it easy to distinguish between the two different step sizes, as they are represented by different "moves" on the keyboard.

=Dyadic Pentads and Hexads of Orwell[13] on the Axis-49=

The page [[Chords of Orwell]] offers one system for identifying and naming [[Dyadic chord|dyadic chords]] available in Orwell Temperament. The following diagrams show how some of those chords would map to an Axis-49 (or similar keyboard, eg. Opal Chameleon) tuned as above. These diagrams only look at the pentads and hexads available in Orwell[13]. The "chords of orwell" page also lists triads and tetrads, as well as chords which require a generator chain larger than that of Orwell[13]. The "types" come from the "chords of orwell" page and say something about which commas must be tempered out (if any) for this chord to be possible.

At the time of writing, the essentially-tempered dyadic chords of Orwell Temperament have been little explored; perhaps these diagrams will give isomorphic keyboardists some encouragement to explore them.

==Pentads==

[[image:orwell13_pentad01.png]][[image:orwell13_pentad02.png]][[image:orwell13_pentad03.png]]
[[image:orwell13_pentad04.png]][[image:orwell13_pentad05.png]][[image:orwell13_pentad06.png]]
[[image:orwell13_pentad07.png]][[image:orwell13_pentad08.png]][[image:orwell13_pentad09.png]]
[[image:orwell13_pentad10.png]][[image:orwell13_pentad11.png]][[image:orwell13_pentad12.png]]
[[image:orwell13_pentad13.png]][[image:orwell13_pentad14.png]][[image:orwell13_pentad15.png]]
[[image:orwell13_pentad16.png]][[image:orwell13_pentad17.png]][[image:orwell13_pentad18.png]]
[[image:orwell13_pentad19.png]][[image:orwell13_pentad20.png]][[image:orwell13_pentad21.png]]
[[image:orwell13_pentad22.png]][[image:orwell13_pentad23.png]][[image:orwell13_pentad24.png]]
[[image:orwell13_pentad25.png]][[image:orwell13_pentad26.png]][[image:orwell13_pentad27.png]]
[[image:orwell13_pentad28.png]][[image:orwell13_pentad29.png]][[image:orwell13_pentad30.png]]
[[image:orwell13_pentad31.png]][[image:orwell13_pentad32.png]][[image:orwell13_pentad33.png]]
[[image:orwell13_pentad34.png]][[image:orwell13_pentad35.png]]

==Hexads==

[[image:orwell13_hexad01.png]][[image:orwell13_hexad02.png]][[image:orwell13_hexad03.png]]

[[image:orwell13_hexad04.png]][[image:orwell13_hexad05.png]][[image:orwell13_hexad06.png]]

=Scala File=

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
A regular mapping of Orwell Temperament (53edo version) for the Axis-49 isomorphic keyboard.
97
!
-113.207548
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-181.132079
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316.98113
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90.5660339999995
-22.6415140000008
928.301887
815.094339
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475.471695
362.264147
249.056599
1313.207548
1200.
1086.792452
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747.169808
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1584.905661
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2015.094339
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2400.
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2830.188678
2716.98113
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3328.301887
3215.094339
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3532.075469</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>Orwell on an Isomorphic Keyboard</title></head><body>Isomorphic <a class="wiki_link" href="/microtonal%20keyboards">keyboard</a> layouts can be useful for playing and composing in <a class="wiki_link" href="/Orwell">Orwell</a> and other <a class="wiki_link" href="/regular%20temperaments">regular temperaments</a>. As pitch space in rank-2 temperaments is 2-dimensional, the structure can be directly mapped to a 2-dimensional array of keys. 
 
<h1 id="toc0"><a name="Axis-49"></a>Axis-49</h1>
 
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 &quot;down and to the right&quot; and the octave period to one move of &quot;up and to the right&quot; and three moves of &quot;down and to the right&quot;. This gives the Orwell[13] <a class="wiki_link" href="/MOSScales">MOS scale</a> the following shape on the Axis-49 keyboard: 
 
<img src="/file/view/orwell13_axis49.png/302248228/orwell13_axis49.png" alt="orwell13_axis49.png" title="orwell13_axis49.png" /> 
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. 
 
To help with visualizing what an Orwell[13] &quot;chromatic scale&quot; looks like, note that the pitches in ascending order go: 0 9 5 1 10 6 2 11 7 3 12 8 4 0. The large step of Orwell[13] maps to one move upward (as well as -4 generators, eg. 8 to 4). The small step of Orwell[13] maps to two moves downward and one move &quot;down and to the right&quot; (as well as +9 generators, eg. 1 to 10). Thus, this (or any) 2-dimensional regular arrangement of the Orwell[13] scale makes it easy to distinguish between the two different step sizes, as they are represented by different &quot;moves&quot; on the keyboard. 
 
<h1 id="toc1"><a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49"></a>Dyadic Pentads and Hexads of Orwell[13] on the Axis-49</h1>
 
The page <a class="wiki_link" href="/Chords%20of%20Orwell">Chords of Orwell</a> offers one system for identifying and naming <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> available in Orwell Temperament. The following diagrams show how some of those chords would map to an Axis-49 (or similar keyboard, eg. Opal Chameleon) tuned as above. These diagrams only look at the pentads and hexads available in Orwell[13]. The &quot;chords of orwell&quot; page also lists triads and tetrads, as well as chords which require a generator chain larger than that of Orwell[13]. The &quot;types&quot; come from the &quot;chords of orwell&quot; page and say something about which commas must be tempered out (if any) for this chord to be possible. 
 
At the time of writing, the essentially-tempered dyadic chords of Orwell Temperament have been little explored; perhaps these diagrams will give isomorphic keyboardists some encouragement to explore them. 
 
<h2 id="toc2"><a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49-Pentads"></a>Pentads</h2>
 
<img src="/file/view/orwell13_pentad01.png/302250980/orwell13_pentad01.png" alt="orwell13_pentad01.png" title="orwell13_pentad01.png" /><img src="/file/view/orwell13_pentad02.png/302251040/orwell13_pentad02.png" alt="orwell13_pentad02.png" title="orwell13_pentad02.png" /><img src="/file/view/orwell13_pentad03.png/302251086/orwell13_pentad03.png" alt="orwell13_pentad03.png" title="orwell13_pentad03.png" /> 
<img src="/file/view/orwell13_pentad04.png/302251242/orwell13_pentad04.png" alt="orwell13_pentad04.png" title="orwell13_pentad04.png" /><img src="/file/view/orwell13_pentad05.png/302251286/orwell13_pentad05.png" alt="orwell13_pentad05.png" title="orwell13_pentad05.png" /><img src="/file/view/orwell13_pentad06.png/302251396/orwell13_pentad06.png" alt="orwell13_pentad06.png" title="orwell13_pentad06.png" /> 
<img src="/file/view/orwell13_pentad07.png/302251466/orwell13_pentad07.png" alt="orwell13_pentad07.png" title="orwell13_pentad07.png" /><img src="/file/view/orwell13_pentad08.png/302251528/orwell13_pentad08.png" alt="orwell13_pentad08.png" title="orwell13_pentad08.png" /><img src="/file/view/orwell13_pentad09.png/302251570/orwell13_pentad09.png" alt="orwell13_pentad09.png" title="orwell13_pentad09.png" /> 
<img src="/file/view/orwell13_pentad10.png/302251642/orwell13_pentad10.png" alt="orwell13_pentad10.png" title="orwell13_pentad10.png" /><img src="/file/view/orwell13_pentad11.png/302251704/orwell13_pentad11.png" alt="orwell13_pentad11.png" title="orwell13_pentad11.png" /><img src="/file/view/orwell13_pentad12.png/302251758/orwell13_pentad12.png" alt="orwell13_pentad12.png" title="orwell13_pentad12.png" /> 
<img src="/file/view/orwell13_pentad13.png/302251826/orwell13_pentad13.png" alt="orwell13_pentad13.png" title="orwell13_pentad13.png" /><img src="/file/view/orwell13_pentad14.png/302251864/orwell13_pentad14.png" alt="orwell13_pentad14.png" title="orwell13_pentad14.png" /><img src="/file/view/orwell13_pentad15.png/302251904/orwell13_pentad15.png" alt="orwell13_pentad15.png" title="orwell13_pentad15.png" /> 
<img src="/file/view/orwell13_pentad16.png/302251950/orwell13_pentad16.png" alt="orwell13_pentad16.png" title="orwell13_pentad16.png" /><img src="/file/view/orwell13_pentad17.png/302252010/orwell13_pentad17.png" alt="orwell13_pentad17.png" title="orwell13_pentad17.png" /><img src="/file/view/orwell13_pentad18.png/302252060/orwell13_pentad18.png" alt="orwell13_pentad18.png" title="orwell13_pentad18.png" /> 
<img src="/file/view/orwell13_pentad19.png/302252094/orwell13_pentad19.png" alt="orwell13_pentad19.png" title="orwell13_pentad19.png" /><img src="/file/view/orwell13_pentad20.png/302252146/orwell13_pentad20.png" alt="orwell13_pentad20.png" title="orwell13_pentad20.png" /><img src="/file/view/orwell13_pentad21.png/302252172/orwell13_pentad21.png" alt="orwell13_pentad21.png" title="orwell13_pentad21.png" /> 
<img src="/file/view/orwell13_pentad22.png/302252216/orwell13_pentad22.png" alt="orwell13_pentad22.png" title="orwell13_pentad22.png" /><img src="/file/view/orwell13_pentad23.png/302252264/orwell13_pentad23.png" alt="orwell13_pentad23.png" title="orwell13_pentad23.png" /><img src="/file/view/orwell13_pentad24.png/302252332/orwell13_pentad24.png" alt="orwell13_pentad24.png" title="orwell13_pentad24.png" /> 
<img src="/file/view/orwell13_pentad25.png/302252378/orwell13_pentad25.png" alt="orwell13_pentad25.png" title="orwell13_pentad25.png" /><img src="/file/view/orwell13_pentad26.png/302252422/orwell13_pentad26.png" alt="orwell13_pentad26.png" title="orwell13_pentad26.png" /><img src="/file/view/orwell13_pentad27.png/302252472/orwell13_pentad27.png" alt="orwell13_pentad27.png" title="orwell13_pentad27.png" /> 
<img src="/file/view/orwell13_pentad28.png/302252568/orwell13_pentad28.png" alt="orwell13_pentad28.png" title="orwell13_pentad28.png" /><img src="/file/view/orwell13_pentad29.png/302252596/orwell13_pentad29.png" alt="orwell13_pentad29.png" title="orwell13_pentad29.png" /><img src="/file/view/orwell13_pentad30.png/302252644/orwell13_pentad30.png" alt="orwell13_pentad30.png" title="orwell13_pentad30.png" /> 
<img src="/file/view/orwell13_pentad31.png/302252708/orwell13_pentad31.png" alt="orwell13_pentad31.png" title="orwell13_pentad31.png" /><img src="/file/view/orwell13_pentad32.png/302252772/orwell13_pentad32.png" alt="orwell13_pentad32.png" title="orwell13_pentad32.png" /><img src="/file/view/orwell13_pentad33.png/302252808/orwell13_pentad33.png" alt="orwell13_pentad33.png" title="orwell13_pentad33.png" /> 
<img src="/file/view/orwell13_pentad34.png/302252848/orwell13_pentad34.png" alt="orwell13_pentad34.png" title="orwell13_pentad34.png" /><img src="/file/view/orwell13_pentad35.png/302253118/orwell13_pentad35.png" alt="orwell13_pentad35.png" title="orwell13_pentad35.png" /> 
 
<h2 id="toc3"><a name="Dyadic Pentads and Hexads of Orwell[13] on the Axis-49-Hexads"></a>Hexads</h2>
 
<img src="/file/view/orwell13_hexad01.png/302253194/orwell13_hexad01.png" alt="orwell13_hexad01.png" title="orwell13_hexad01.png" /><img src="/file/view/orwell13_hexad02.png/302253232/orwell13_hexad02.png" alt="orwell13_hexad02.png" title="orwell13_hexad02.png" /><img src="/file/view/orwell13_hexad03.png/302253264/orwell13_hexad03.png" alt="orwell13_hexad03.png" title="orwell13_hexad03.png" /> 
 
<img src="/file/view/orwell13_hexad04.png/302253300/orwell13_hexad04.png" alt="orwell13_hexad04.png" title="orwell13_hexad04.png" /><img src="/file/view/orwell13_hexad05.png/302253334/orwell13_hexad05.png" alt="orwell13_hexad05.png" title="orwell13_hexad05.png" /><img src="/file/view/orwell13_hexad06.png/302253364/orwell13_hexad06.png" alt="orwell13_hexad06.png" title="orwell13_hexad06.png" /> 
 
<h1 id="toc4"><a name="Scala File"></a>Scala File</h1>
 
The following Scala file is specifically for the Axis-49, which, in &quot;selfless mode,&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 (&quot;C# -2&quot; in &quot;MIDI Standard&quot;, &quot;C# -1&quot; in &quot;ISO 16:1975&quot;, and &quot;C# 0&quot; in &quot;Cakewalk standard&quot; -- see <a class="wiki_link_ext" href="http://www.xen-arts.com/2011/11/midi-notes-pitches-and-notation.html" rel="nofollow" target="_blank">here</a> 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 
A regular mapping of Orwell Temperament (53edo version) for the Axis-49 isomorphic keyboard. 
97 
! 
-113.207548 
-226.415096 
-339.622644 
-452.830192 
-566.037740000001 
-679.245288 
271.698113 
158.490565 
45.2830169999997 
-67.9245310000001 
-181.132079 
-294.339627 
-407.547175000001 
656.603774 
543.396226 
430.188678 
316.98113 
203.773582 
90.5660339999995 
-22.6415140000008 
928.301887 
815.094339 
701.886791 
588.679243 
475.471695 
362.264147 
249.056599 
1313.207548 
1200. 
1086.792452 
973.584904 
860.377356 
747.169808 
633.962259999999 
1584.905661 
1471.698113 
1358.490565 
1245.283017 
1132.075469 
1018.867921 
905.660373 
1969.811322 
1856.603774 
1743.396226 
1630.188678 
1516.98113 
1403.773582 
1290.566034 
2241.509435 
2128.301887 
2015.094339 
1901.886791 
1788.679243 
1675.471695 
1562.264147 
2513.207548 
2400. 
2286.792452 
2173.584904 
2060.377356 
1947.169808 
1833.96226 
2898.113209 
2784.905661 
2671.698113 
2558.490565 
2445.283017 
2332.075469 
2218.867921 
3169.811322 
3056.603774 
2943.396226 
2830.188678 
2716.98113 
2603.773582 
2490.566034 
3554.716983 
3441.509435 
3328.301887 
3215.094339 
3101.886791 
2988.679243 
2875.471695 
3826.415096 
3713.207548 
3600. 
3486.792452 
3373.584904 
3260.377356 
3147.169808 
4211.320757 
4098.113209 
3984.905661 
3871.698113 
3758.490565 
3645.283017 
3532.075469</body></html></pre></div>

Orwell on an isomorphic keyboard - Revision history

FloraC: Cleanup, style, and fix dead links.

FloraC: FloraC moved page Orwell on an Isomorphic Keyboard to Orwell on an isomorphic keyboard: WP:NCCAPS

Dummy index: +categories

Spt3125: minor format fixes

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>Andrew_Heathwaite: **Imported revision 302264700 - Original comment: **

Wikispaces>Andrew_Heathwaite: **Imported revision 302258482 - Original comment: **

Wikispaces>Andrew_Heathwaite: Imported revision 302264700 - Original comment:

Wikispaces>Andrew_Heathwaite: Imported revision 302258482 - Original comment: