Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 558109013 - Original comment: ** |
Wikispaces>TallKite **Imported revision 558113783 - 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:TallKite|TallKite]] and made on <tt>2015-09-03 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-09-03 04:59:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>558113783</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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0-11-18 = ^M | 0-11-18 = ^M | ||
0-12-18 = sus-v4 | 0-12-18 = sus-v4 | ||
==**__Cross-EDO considerations__**== | |||
In 22edo, the major chord is 0¢-436¢-709¢. In 19edo, it's 0¢-379¢-695¢. The two chords sound quite different, because "major 3rd" is defined only in terms of the fifth, not in terms of what JI ratios it approximates. To describe the sound of the chord, color notation can be used. 22edo major chords sound red and 19edo major chords sound yellow. | |||
The name "major" refers not to the sound but to the function of the chord. If you want to pump an 81/80 with a I - VIm - IIm - V - I progression, you can do that in any edo, as long as you use major and minor chords. | |||
==__EDOs with an inaccurate 3/2__== | ==__EDOs with an inaccurate 3/2__== | ||
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8edo heptatonic second-based, seventhwards, no ups and downs (generator = 1\8 2nd): | 8edo heptatonic second-based, seventhwards, no ups and downs (generator = 1\8 2nd): | ||
D E F G * A B C D | D E F G * A B C D | ||
P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8 | P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8 | ||
chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc. | chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc. | ||
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0-12-18 = sus-v4<br /> | 0-12-18 = sus-v4<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Naming Chords-EDOs with an inaccurate 3/2"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Naming Chords-Cross-EDO considerations"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong><u>Cross-EDO considerations</u></strong></h2> | ||
<br /> | |||
In 22edo, the major chord is 0¢-436¢-709¢. In 19edo, it's 0¢-379¢-695¢. The two chords sound quite different, because &quot;major 3rd&quot; is defined only in terms of the fifth, not in terms of what JI ratios it approximates. To describe the sound of the chord, color notation can be used. 22edo major chords sound red and 19edo major chords sound yellow.<br /> | |||
<br /> | |||
The name &quot;major&quot; refers not to the sound but to the function of the chord. If you want to pump an 81/80 with a I - VIm - IIm - V - I progression, you can do that in any edo, as long as you use major and minor chords.<br /> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Naming Chords-EDOs with an inaccurate 3/2"></a><!-- ws:end:WikiTextHeadingRule:10 --><u>EDOs with an inaccurate 3/2</u></h2> | |||
<br /> | <br /> | ||
Not counting the trivial edos 2, 3, 4 and 6, there are only seven such edos. As seen in this diagram, they are the ones to the left of the central line in the light blue region, plus the ones to the right of the central line in the orange region. The ones on the left edge of the blue region are the fourthward ones like 16edo, and have been dealt with already. 23edo can be notated similarly to 16edo by using a fifth of 13\23 instead of 14\23. That leaves only four edos: 8, 11, 13, and 18.<br /> | Not counting the trivial edos 2, 3, 4 and 6, there are only seven such edos. As seen in this diagram, they are the ones to the left of the central line in the light blue region, plus the ones to the right of the central line in the orange region. The ones on the left edge of the blue region are the fourthward ones like 16edo, and have been dealt with already. 23edo can be notated similarly to 16edo by using a fifth of 13\23 instead of 14\23. That leaves only four edos: 8, 11, 13, and 18.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:14:&lt;img src=&quot;/file/view/The%205th%20of%20EDOs%205-53.png/558356515/640x802/The%205th%20of%20EDOs%205-53.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 802px; width: 640px;&quot; /&gt; --><img src="/file/view/The%205th%20of%20EDOs%205-53.png/558356515/640x802/The%205th%20of%20EDOs%205-53.png" alt="The 5th of EDOs 5-53.png" title="The 5th of EDOs 5-53.png" style="height: 802px; width: 640px;" /><!-- ws:end:WikiTextLocalImageRule:14 --><br /> | ||
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8edo heptatonic second-based, seventhwards, no ups and downs (generator = 1\8 2nd):<br /> | 8edo heptatonic second-based, seventhwards, no ups and downs (generator = 1\8 2nd):<br /> | ||
D E F G * A B C D <br /> | D E F G * A B C D<br /> | ||
P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8<br /> | P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8<br /> | ||
chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc.<br /> | chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc.<br /> | ||
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<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Summary of EDO notation"></a><!-- ws:end:WikiTextHeadingRule:12 --><u><strong>Summary of EDO notation</strong></u></h1> | ||
<br /> | <br /> | ||
&quot;Fifth-less&quot; EDOs (8, 11, 13 and 18)<br /> | &quot;Fifth-less&quot; EDOs (8, 11, 13 and 18)<br /> | ||