24edo: Difference between revisions
Wikispaces>k9assassin **Imported revision 526116212 - Original comment: ** |
Wikispaces>k9assassin **Imported revision 530434830 - 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:k9assassin|k9assassin]] and made on <tt>2014-10 | : This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2014-11-10 21:18:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>530434830</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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0-9-14 (Ultra Triad) and 0-5-14 (Infra Triad), the chord names being based on what kind of third is in the chord. | 0-9-14 (Ultra Triad) and 0-5-14 (Infra 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. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad. 0-14-21-35 William Lynch considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality. 24 edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system. | For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad. 0-14-21-35 William Lynch considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality. 24 edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system. | ||
William Lynch considers these as some possible good tetrads: | William Lynch considers these as some possible good tetrads: | ||
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|| tendo || 0 9 14 19 || 1 ^3 5 bv7 || ... || | || tendo || 0 9 14 19 || 1 ^3 5 bv7 || ... || | ||
Due to convenience, the names Arto and tendo have been changed to Ultra and Infra. | Due to convenience, the names Arto and tendo have been changed to Ultra and Infra. | ||
=Naming Chords in 24edo= | =Naming Chords in 24edo= | ||
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The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | ||
[[image:http://www.swordguitars.com/Sword_quartertone_stratsm.jpg width="406" height="195"]]24-tone "1/4-tone" Guitar by Ron Sword / Sword guitars | [[image:http://www.swordguitars.com/Sword_quartertone_stratsm.jpg width="406" height="195"]]24-tone "1/4-tone" Guitar by Ron Sword / Sword guitars | ||
Hidekazu Wakabayashi tuned a piano and harp to where the normal sharps and flats are tuned 50 cents higher in which he called "Iceface" tuning. | |||
Read about Iceface tuning here. | |||
=Compositions= | =Compositions= | ||
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0-9-14 (Ultra Triad) and 0-5-14 (Infra Triad), the chord names being based on what kind of third is in the chord.<br /> | 0-9-14 (Ultra Triad) and 0-5-14 (Infra 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. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad. 0-14-21-35 William Lynch considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality. 24 edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system. <br /> | For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad. 0-14-21-35 William Lynch considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality. 24 edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system.<br /> | ||
<br /> | <br /> | ||
William Lynch considers these as some possible good tetrads:<br /> | William Lynch considers these as some possible good tetrads:<br /> | ||
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<br /> | <br /> | ||
Due to convenience, the names Arto and tendo have been changed to Ultra and Infra. <br /> | Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc8"><a name="Naming Chords in 24edo"></a><!-- ws:end:WikiTextHeadingRule:19 -->Naming Chords in 24edo</h1> | <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc8"><a name="Naming Chords in 24edo"></a><!-- ws:end:WikiTextHeadingRule:19 -->Naming Chords in 24edo</h1> | ||
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The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This <a class="wiki_link" href="/Microtonal%20Keyboards#twelvenoteoctavescales">&quot;12 note octave scales&quot;</a> approach is used in a wide part of the existing literature - see below.<br /> | ||
<!-- ws:start:WikiTextRemoteImageRule:1545:&lt;img src=&quot;http://www.swordguitars.com/Sword_quartertone_stratsm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 195px; width: 406px;&quot; /&gt; --><img src="http://www.swordguitars.com/Sword_quartertone_stratsm.jpg" alt="external image Sword_quartertone_stratsm.jpg" title="external image Sword_quartertone_stratsm.jpg" style="height: 195px; width: 406px;" /><!-- ws:end:WikiTextRemoteImageRule:1545 -->24-tone &quot;1/4-tone&quot; Guitar by Ron Sword / Sword guitars<br /> | <!-- ws:start:WikiTextRemoteImageRule:1545:&lt;img src=&quot;http://www.swordguitars.com/Sword_quartertone_stratsm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 195px; width: 406px;&quot; /&gt; --><img src="http://www.swordguitars.com/Sword_quartertone_stratsm.jpg" alt="external image Sword_quartertone_stratsm.jpg" title="external image Sword_quartertone_stratsm.jpg" style="height: 195px; width: 406px;" /><!-- ws:end:WikiTextRemoteImageRule:1545 -->24-tone &quot;1/4-tone&quot; Guitar by Ron Sword / Sword guitars<br /> | ||
<br /> | |||
Hidekazu Wakabayashi tuned a piano and harp to where the normal sharps and flats are tuned 50 cents higher in which he called &quot;Iceface&quot; tuning. <br /> | |||
Read about Iceface tuning here. <br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc20"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:43 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc20"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:43 -->Compositions</h1> | ||