24edo: Difference between revisions
Wikispaces>cookiemeows **Imported revision 489397400 - Original comment: ** |
Wikispaces>cookiemeows **Imported revision 489403094 - 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:cookiemeows|cookiemeows]] and made on <tt>2014-02-13 18: | : This revision was by author [[User:cookiemeows|cookiemeows]] and made on <tt>2014-02-13 18:56:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>489403094</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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33rd harmonic || | 33rd harmonic || | ||
||= 150 ||= neutral second ||= [[12_11|12/11]] ||= 150.637 ||= large undecimal neutral second || | ||= 150 ||= neutral second ||= [[12_11|12/11]] ||= 150.637 ||= large undecimal neutral second || | ||
||= 250 ||= supermajor second, tendo second, | ||= 250 ||= supermajor second, tendo second, | ||
subminor third, <span style="line-height: 1.5;">arto third</span> ||= [[144_125|144/125]] | subminor third, <span style="line-height: 1.5;">arto third</span> ||= [[144_125|144/125]] | ||
[[15_13|15/13]] | [[15_13|15/13]] | ||
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=Notation= | =Notation= | ||
[[image:http://www.wfg.woodwind.org/n/s14_blue.gif]] = quarter-tone sharp | [[image:http://www.wfg.woodwind.org/n/s14_blue.gif]] or ^ = quarter-tone sharp , | ||
[[image:http://www.wfg.woodwind.org/n/s34_blue.gif]] = three-quarter-tone sharp | [[image:http://www.wfg.woodwind.org/n/s34_blue.gif]] or #^ = three-quarter-tone sharp | ||
[[image:http://www.wfg.woodwind.org/n/f14_blue.gif]] = quarter-tone flat | [[image:http://www.wfg.woodwind.org/n/f14_blue.gif]] or v = quarter-tone flat | ||
[[image:http://www.wfg.woodwind.org/n/f34_blue.gif]] = three-quarter-tone flat | [[image:http://www.wfg.woodwind.org/n/f34_blue.gif]] or bv = three-quarter-tone flat | ||
Alternately, in another notation system, | Alternately, in another notation system, | ||
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The special alterations of the intervals and chords of 12 equal can be notated like this: | The special alterations of the intervals and chords of 12 equal can be notated like this: | ||
Supermajor or "**Tendo**" is a major interval raised a quarter tone | Supermajor or "**Tendo**" is a major interval raised a quarter tone | ||
Subminor or "**Arto**" is a minor interval lowered a quarter tone | Subminor or "**Arto**" is a minor interval lowered a quarter tone | ||
Neutral are intervals that exist between the major and minor version of an interval | Neutral are intervals that exist between the major and minor version of an interval | ||
The prefix **sub** indicates a perfect interval lowered by one quarter tone | The prefix **sub** indicates a perfect interval lowered by one quarter tone | ||
The prefix **super** indicates a perfect interval raised by a quarter tone | The prefix **super** indicates a perfect interval raised by a quarter tone | ||
The words Tendo meaning "Expand" and "Arto" meaning "contract" in Latin can be used to replace the words | The words Tendo meaning "Expand" and "Arto" meaning "contract" in Latin can be used to replace the words | ||
"supermajor" and "subminor" in order to shorten the names of the intervals. | "supermajor" and "subminor" in order to shorten the names of the intervals. | ||
=Chord Structures= | =Chord Structures= | ||
24 Edo features a rich variety on not only new chords, but also alterations that can be used with regular 12 Edo chords. | 24 Edo features a rich variety on not only new chords, but also alterations that can be used with regular 12 Edo chords. | ||
For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of | For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of | ||
super-extended chord structure of a major chord: 4:5:6:9:11:13. | super-extended chord structure of a major chord: 4:5:6:9:11:13. | ||
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0-9-14 (Tendo Triad) and 0-5-14(Arto Triad), the chord names being based on what kind of third is in the chord. | 0-9-14 (Tendo Triad) and 0-5-14(Arto Triad), the chord names being based on what kind of third is in the chord. | ||
These chords though tend to lack the forcefulness to sound like resolved, tonal sonorities but can be resolved of that issue by using tetrads in place of triads. | These chords though tend to lack the forcefulness to sound like resolved, tonal sonorities but can be resolved of that issue by using tetrads in place of triads. | ||
For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo that is built off of a triad containing a quarter tone. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the "Super-Tendo" chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context. | For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo that is built off of a triad containing a quarter tone. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the "Super-Tendo" chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context. | ||
=Rank two temperaments= | =Rank two temperaments= | ||
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[[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3|Lament]] by [[http://soundcloud.com/jdfreivald/lament|Jake Freivald]]. In the [[freivaldneutral24]] scale. | [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3|Lament]] by [[http://soundcloud.com/jdfreivald/lament|Jake Freivald]]. In the [[freivaldneutral24]] scale. | ||
[[https://soundcloud.com/jdfreivald/mo-happy-happy|Mo - Happy - Happy]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3|play]] by Jake Freivald in Neutraltet[7] (2.3.11 mohajira), 24et tuning | [[https://soundcloud.com/jdfreivald/mo-happy-happy|Mo - Happy - Happy]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3|play]] by Jake Freivald in Neutraltet[7] (2.3.11 mohajira), 24et tuning | ||
[[http://www.youtube.com/watch?v=q1Lp8AtKK9o|Autumn Winds]], [[http://www.youtube.com/watch?v=Igxe3DwbFJ4&feature=c4-overview&list=UUvq5bg-LvOS6adpB5efPTyQ|Easter Time at Nine]], [[http://www.youtube.com/watch?v=z_3uhA9Cq08&list=UUvq5bg-LvOS6adpB5efPTyQ|Waters of Persia]] by William Lynch in mohajira, 24et tuning. | |||
==About== | ==About== | ||
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<td style="text-align: center;">250<br /> | <td style="text-align: center;">250<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">supermajor second, tendo second, <br /> | <td style="text-align: center;">supermajor second, tendo second,<br /> | ||
subminor third, <span style="line-height: 1.5;">arto third</span><br /> | subminor third, <span style="line-height: 1.5;">arto third</span><br /> | ||
</td> | </td> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:9 -->Notation</h1> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Notation"></a><!-- ws:end:WikiTextHeadingRule:9 -->Notation</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule:1417:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s14_blue.gif" alt="external image s14_blue.gif" title="external image s14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1417 --> = quarter-tone sharp<br /> | <!-- ws:start:WikiTextRemoteImageRule:1417:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s14_blue.gif" alt="external image s14_blue.gif" title="external image s14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1417 --> or ^ = quarter-tone sharp , <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule:1418:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s34_blue.gif" alt="external image s34_blue.gif" title="external image s34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1418 --> = three-quarter-tone sharp<br /> | <!-- ws:start:WikiTextRemoteImageRule:1418:&lt;img src=&quot;http://www.wfg.woodwind.org/n/s34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/s34_blue.gif" alt="external image s34_blue.gif" title="external image s34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1418 --> or #^ = three-quarter-tone sharp <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule:1419:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f14_blue.gif" alt="external image f14_blue.gif" title="external image f14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1419 --> = quarter-tone flat<br /> | <!-- ws:start:WikiTextRemoteImageRule:1419:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f14_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f14_blue.gif" alt="external image f14_blue.gif" title="external image f14_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1419 --> or v = quarter-tone flat<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule:1420:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f34_blue.gif" alt="external image f34_blue.gif" title="external image f34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1420 --> = three-quarter-tone flat<br /> | <!-- ws:start:WikiTextRemoteImageRule:1420:&lt;img src=&quot;http://www.wfg.woodwind.org/n/f34_blue.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://www.wfg.woodwind.org/n/f34_blue.gif" alt="external image f34_blue.gif" title="external image f34_blue.gif" /><!-- ws:end:WikiTextRemoteImageRule:1420 --> or bv = three-quarter-tone flat<br /> | ||
<br /> | <br /> | ||
Alternately, in another notation system,<br /> | Alternately, in another notation system,<br /> | ||
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The special alterations of the intervals and chords of 12 equal can be notated like this:<br /> | The special alterations of the intervals and chords of 12 equal can be notated like this:<br /> | ||
<br /> | <br /> | ||
Supermajor or &quot;<strong>Tendo</strong>&quot; is a major interval raised a quarter tone <br /> | Supermajor or &quot;<strong>Tendo</strong>&quot; is a major interval raised a quarter tone<br /> | ||
Subminor or &quot;<strong>Arto</strong>&quot; is a minor interval lowered a quarter tone <br /> | Subminor or &quot;<strong>Arto</strong>&quot; is a minor interval lowered a quarter tone<br /> | ||
Neutral are intervals that exist between the major and minor version of an interval <br /> | Neutral are intervals that exist between the major and minor version of an interval<br /> | ||
The prefix <strong>sub</strong> indicates a perfect interval lowered by one quarter tone<br /> | The prefix <strong>sub</strong> indicates a perfect interval lowered by one quarter tone<br /> | ||
The prefix <strong>super</strong> indicates a perfect interval raised by a quarter tone <br /> | The prefix <strong>super</strong> indicates a perfect interval raised by a quarter tone<br /> | ||
<br /> | <br /> | ||
The words Tendo meaning &quot;Expand&quot; and &quot;Arto&quot; meaning &quot;contract&quot; in Latin can be used to replace the words<br /> | The words Tendo meaning &quot;Expand&quot; and &quot;Arto&quot; meaning &quot;contract&quot; in Latin can be used to replace the words<br /> | ||
&quot;supermajor&quot; and &quot;subminor&quot; in order to shorten the names of the intervals. <br /> | &quot;supermajor&quot; and &quot;subminor&quot; in order to shorten the names of the intervals.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Chord Structures"></a><!-- ws:end:WikiTextHeadingRule:13 -->Chord Structures</h1> | <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Chord Structures"></a><!-- ws:end:WikiTextHeadingRule:13 -->Chord Structures</h1> | ||
24 Edo features a rich variety on not only new chords, but also alterations that can be used with regular 12 Edo chords. <br /> | 24 Edo features a rich variety on not only new chords, but also alterations that can be used with regular 12 Edo chords.<br /> | ||
For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of<br /> | For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of<br /> | ||
super-extended chord structure of a major chord: 4:5:6:9:11:13.<br /> | super-extended chord structure of a major chord: 4:5:6:9:11:13.<br /> | ||
| Line 1,127: | Line 1,128: | ||
0-9-14 (Tendo Triad) and 0-5-14(Arto Triad), the chord names being based on what kind of third is in the chord.<br /> | 0-9-14 (Tendo Triad) and 0-5-14(Arto Triad), the chord names being based on what kind of third is in the chord.<br /> | ||
These chords though tend to lack the forcefulness to sound like resolved, tonal sonorities but can be resolved of that issue by using tetrads in place of triads.<br /> | These chords though tend to lack the forcefulness to sound like resolved, tonal sonorities but can be resolved of that issue by using tetrads in place of triads.<br /> | ||
For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo that is built off of a triad containing a quarter tone. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the &quot;Super-Tendo&quot; chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context. <br /> | For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo that is built off of a triad containing a quarter tone. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the &quot;Super-Tendo&quot; chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Rank two temperaments"></a><!-- ws:end:WikiTextHeadingRule:15 -->Rank two temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Rank two temperaments"></a><!-- ws:end:WikiTextHeadingRule:15 -->Rank two temperaments</h1> | ||
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<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3" rel="nofollow">Lament</a> by <a class="wiki_link_ext" href="http://soundcloud.com/jdfreivald/lament" rel="nofollow">Jake Freivald</a>. In the <a class="wiki_link" href="/freivaldneutral24">freivaldneutral24</a> scale.<br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3" rel="nofollow">Lament</a> by <a class="wiki_link_ext" href="http://soundcloud.com/jdfreivald/lament" rel="nofollow">Jake Freivald</a>. In the <a class="wiki_link" href="/freivaldneutral24">freivaldneutral24</a> scale.<br /> | ||
<a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/mo-happy-happy" rel="nofollow">Mo - Happy - Happy</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3" rel="nofollow">play</a> by Jake Freivald in Neutraltet[7] (2.3.11 mohajira), 24et tuning<br /> | <a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/mo-happy-happy" rel="nofollow">Mo - Happy - Happy</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3" rel="nofollow">play</a> by Jake Freivald in Neutraltet[7] (2.3.11 mohajira), 24et tuning<br /> | ||
<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=q1Lp8AtKK9o" rel="nofollow">Autumn Winds</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=Igxe3DwbFJ4&amp;feature=c4-overview&amp;list=UUvq5bg-LvOS6adpB5efPTyQ" rel="nofollow">Easter Time at Nine</a>, <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=z_3uhA9Cq08&amp;list=UUvq5bg-LvOS6adpB5efPTyQ" rel="nofollow">Waters of Persia</a> by William Lynch in mohajira, 24et tuning.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:27:&lt;h2&gt; --><h2 id="toc13"><a name="Compositions-About"></a><!-- ws:end:WikiTextHeadingRule:27 -->About</h2> | <!-- ws:start:WikiTextHeadingRule:27:&lt;h2&gt; --><h2 id="toc13"><a name="Compositions-About"></a><!-- ws:end:WikiTextHeadingRule:27 -->About</h2> | ||