21edo: Difference between revisions
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Wikispaces>guest **Imported revision 121497163 - Original comment: ** |
Wikispaces>guest **Imported revision 121497275 - 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:guest|guest]] and made on <tt>2010-02-19 05: | : This revision was by author [[User:guest|guest]] and made on <tt>2010-02-19 05:54:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>121497275</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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<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">=21 equal divisions of the octave= | <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">=21 equal divisions of the octave= | ||
Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third | Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third/wide sixth, 7-limit neutral third and sixth, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please). | ||
Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets). | Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets). | ||
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<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>21edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x21 equal divisions of the octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->21 equal divisions of the octave</h1> | <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>21edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x21 equal divisions of the octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->21 equal divisions of the octave</h1> | ||
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Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &quot;equi-heptatonic&quot; scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third | Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &quot;equi-heptatonic&quot; scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third/wide sixth, 7-limit neutral third and sixth, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).<br /> | ||
<br /> | <br /> | ||
Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).<br /> | Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).<br /> | ||
Revision as of 05:54, 19 February 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author guest and made on 2010-02-19 05:54:52 UTC.
- The original revision id was 121497275.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=21 equal divisions of the octave= Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third/wide sixth, 7-limit neutral third and sixth, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please). Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets). Chopi Scale in cents - 150 310 470 660 840 1030 1200 21-edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument) Other 21-tone scales: 21-edo Narrow (minor) whole tone 21-edo Undecimal minor 21-edo Septimal neutral major 21-edo Quasi-equal major 21-edo Undecimal minor 21-edo Septimal neutral major 21-edo Quasi-equal major [[image:http://www.ronsword.com/images/ron1.jpg width="254" height="188"]][[image:http://www.swordguitars.com/21tetsm.JPG width="363" height="191"]] **//21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)//** ==**Progressions / Chords / Pitch Space Divisions:**== 2 octaves into 7 parts = 6 6 6 6 6 6 3 octaves into 7 parts = 9 9 9 9 9 9 4 octaves into 7 parts = 12 12 12 12 12 12 12 5 octaves into 7 parts = 15 15 15 15 15 15 15 6 octaves into 7 parts = 18 18 18 18 18 18 18 7 octaves into 7 parts = 21 21 21 21 21 21 21 = octaves 8 octaves into 7 parts = 24 24 24 24 24 24 24 9 octaves into 7 parts = 27 27 27 27 27 27 27 10 octaves into 7 parts = 30 30 30 30 30 30 30 2 octaves into 3 parts = 14 14 14 3 octaves into 3 parts = 21 21 21 = octave 4 octaves into 3 parts = 28 28 28 5 octaves into 3 parts = 35 35 35 6 octaves into 3 parts = 42 42 42 = 2 octaves 7 octaves into 3 parts = 49 49 49 8 octaves into 3 parts = 56 56 56 9 octaves into 3 parts = 63 63 63 = 3 octaves 10 octaves into 3 parts = 70 70 70 =**Books / Literature:**= Sword, Ron. "Icosihenaphonic Scales for Guitar". IAAA Press. 1st ed: July 2009. =**Compositions/Listening:**= [[@http://www.ronsword.com/sounds/21_improv.mp3|Short Clip of 21-edo Acoustic]] by Ron Sword [[@http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3|Open tuning Drone Improvisation in 21-edo]] by Ron Sword
Original HTML content:
<html><head><title>21edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x21 equal divisions of the octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->21 equal divisions of the octave</h1> <br /> Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third/wide sixth, 7-limit neutral third and sixth, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).<br /> <br /> Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).<br /> <br /> Chopi Scale in cents - 150 310 470 660 840 1030 1200<br /> 21-edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument)<br /> <br /> Other 21-tone scales:<br /> <br /> 21-edo Narrow (minor) whole tone<br /> 21-edo Undecimal minor<br /> 21-edo Septimal neutral major<br /> 21-edo Quasi-equal major<br /> 21-edo Undecimal minor<br /> 21-edo Septimal neutral major<br /> 21-edo Quasi-equal major<br /> <!-- ws:start:WikiTextRemoteImageRule:8:<img src="http://www.ronsword.com/images/ron1.jpg" alt="" title="" style="height: 188px; width: 254px;" /> --><img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /><!-- ws:end:WikiTextRemoteImageRule:8 --><!-- ws:start:WikiTextRemoteImageRule:9:<img src="http://www.swordguitars.com/21tetsm.JPG" alt="" title="" style="height: 191px; width: 363px;" /> --><img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /><!-- ws:end:WikiTextRemoteImageRule:9 --><br /> <strong><em>21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)</em></strong><br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x21 equal divisions of the octave-Progressions / Chords / Pitch Space Divisions:"></a><!-- ws:end:WikiTextHeadingRule:2 --><strong>Progressions / Chords / Pitch Space Divisions:</strong></h2> 2 octaves into 7 parts = 6 6 6 6 6 6<br /> 3 octaves into 7 parts = 9 9 9 9 9 9<br /> 4 octaves into 7 parts = 12 12 12 12 12 12 12<br /> 5 octaves into 7 parts = 15 15 15 15 15 15 15<br /> 6 octaves into 7 parts = 18 18 18 18 18 18 18<br /> 7 octaves into 7 parts = 21 21 21 21 21 21 21 = octaves<br /> 8 octaves into 7 parts = 24 24 24 24 24 24 24<br /> 9 octaves into 7 parts = 27 27 27 27 27 27 27<br /> 10 octaves into 7 parts = 30 30 30 30 30 30 30<br /> <br /> 2 octaves into 3 parts = 14 14 14<br /> 3 octaves into 3 parts = 21 21 21 = octave<br /> 4 octaves into 3 parts = 28 28 28<br /> 5 octaves into 3 parts = 35 35 35<br /> 6 octaves into 3 parts = 42 42 42 = 2 octaves<br /> 7 octaves into 3 parts = 49 49 49<br /> 8 octaves into 3 parts = 56 56 56<br /> 9 octaves into 3 parts = 63 63 63 = 3 octaves<br /> 10 octaves into 3 parts = 70 70 70<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Books / Literature:"></a><!-- ws:end:WikiTextHeadingRule:4 --><strong>Books / Literature:</strong></h1> Sword, Ron. "Icosihenaphonic Scales for Guitar". IAAA Press. 1st ed: July 2009.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Compositions/Listening:"></a><!-- ws:end:WikiTextHeadingRule:6 --><strong>Compositions/Listening:</strong></h1> <a class="wiki_link_ext" href="http://www.ronsword.com/sounds/21_improv.mp3" rel="nofollow" target="_blank">Short Clip of 21-edo Acoustic</a> by Ron Sword<br /> <a class="wiki_link_ext" href="http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3" rel="nofollow" target="_blank">Open tuning Drone Improvisation in 21-edo</a> by Ron Sword</body></html>