Chords of orwell: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 302259236 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 302259370 - 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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-02-15 23:17:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>302259370</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> | ||
<h4>Original Wikitext content:</h4> | <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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Orwell|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain 11 odd limit consonances--it conflates 14/11 and 9/7, 11/7 and 14/9, 12/11 and 11/10, and 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/7 and 11/10 and their inversions. Those requiring tempering only by 225/224 are labeled marvel, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 swetismic. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, unimarvel. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has MOS of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine note MOS is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad. | <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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Orwell|orwell temperament]]. Typing the chords requires consideration of the fact that orwell equates certain 11 odd limit consonances--it conflates 14/11 and 9/7, 11/7 and 14/9, 12/11 and 11/10, and 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/7 and 11/10 and their inversions. Those requiring tempering only by 225/224 are labeled marvel, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 swetismic. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, unimarvel. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has MOS of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine note MOS is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad. | ||
For diagrams showing how some of these chords might map to a [[Microtonal Keyboards|keyboard]] such as the Axis-49, see [[Orwell on an Isomorphic Keyboard]]. | |||
=Triads= | =Triads= | ||
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|| 14 || 0-3-6-11-14-17 || 1-8/5-9/7-7/5-9/8-9/5 || minerva || | || 14 || 0-3-6-11-14-17 || 1-8/5-9/7-7/5-9/8-9/5 || minerva || | ||
|| 15 || 0-6-7-12-14-17 || 1-9/7-3/2-18/11-9/8-9/5 || utonal || | || 15 || 0-6-7-12-14-17 || 1-9/7-3/2-18/11-9/8-9/5 || utonal || | ||
|| 16 || 0-6-11-12-14-17 || 1-9/7-7/5-18/11-9/8-9/5 || orwell || | || 16 || 0-6-11-12-14-17 || 1-9/7-7/5-18/11-9/8-9/5 || orwell ||</pre></div> | ||
<h4>Original HTML content:</h4> | <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>Chords of orwell</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Orwell">orwell temperament</a>. Typing the chords requires consideration of the fact that orwell equates certain 11 odd limit consonances--it conflates 14/11 and 9/7, 11/7 and 14/9, 12/11 and 11/10, and 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/7 and 11/10 and their inversions. Those requiring tempering only by 225/224 are labeled marvel, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 swetismic. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, unimarvel. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has MOS of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine note MOS is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.<br /> | <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>Chords of orwell</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Orwell">orwell temperament</a>. Typing the chords requires consideration of the fact that orwell equates certain 11 odd limit consonances--it conflates 14/11 and 9/7, 11/7 and 14/9, 12/11 and 11/10, and 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/7 and 11/10 and their inversions. Those requiring tempering only by 225/224 are labeled marvel, by 99/98 mothwellsmic, by 121/120 biyatismic, by 176/175 valinorsmic, by 385/384 keenanismic, and by 540/539 swetismic. If it requires any two of 99/98, 176/175 and 225/224, it is labeled minerva, any two of 99/98, 121/120 or 540/539, big brother, any two of 121/120, 176/175 or 385/384, zeus, any two of 225/224, 385/384 or 540/539, unimarvel. If it requires both 99/98 and 385/384 it is labeled orwellian, and if it requires three independent commas among those discussed above, it is labeled orwell. Orwell has MOS of size 5, 9, 13, 22 and 31. The complaint is often made that orwell is lacking in low-complexity harmonies; however, even the orwell pentatonic has three triads and a tetrad, the nine note MOS is of course much better supplied and with thirteen notes we are rolling in chords and tossing them in the air, finding plenty of chords including even the inexorable major triad.<br /> | ||
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For diagrams showing how some of these chords might map to a <a class="wiki_link" href="/Microtonal%20Keyboards">keyboard</a> such as the Axis-49, see <a class="wiki_link" href="/Orwell%20on%20an%20Isomorphic%20Keyboard">Orwell on an Isomorphic Keyboard</a>.<br /> | |||
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