Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 557941697 - Original comment: ** |
Wikispaces>TallKite **Imported revision 558109013 - 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- | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-09-03 03:25:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>558109013</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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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 | |||
P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8 | P1 - P2 - m3 - M3/m4 - M4/m5 - M5/m6 - M6 - P7 - P8 | ||
D E F G | chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc. | ||
A# - B# - C# - D# - E# - F# - G# - A - B - C - D - E - F - G - Ab - Bb - Cb - Db - Eb - Fb - Gb | |||
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M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9 - d5 etc. | M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9 - d5 etc. | ||
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8 | P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8 | ||
requires learning nonotonic interval arithmetic and staff notation | requires learning nonotonic interval arithmetic and devising a nonotonic staff notation | ||
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18edo</pre></div> | 18edo heptatonic narrow-fifth-based, fourthwards, 2 keys per #/b (3/2 maps to 10\18) | ||
P1 - vm2 - m2 - vM2 - M2/m3 - vM3 - M3 - ^M3 - P4 - ^P4/vP5 - P5 - vm6 - m6 - vM6 - M6/m7 - vM7 - M7 - ^M7 - P8 | |||
fourthwards plus ups and downs is doubly confusing! | |||
18edo nonatonic narrow-fifth-based | |||
P1 - vP2 - P2 - vP3 - P3 - vP4- P4 - vP5 - P5 - vP6 - P6 - vP7 - P7 - vP8 - P8 - vP9 - P9 - vP10 - P10 | |||
requires learning nonotonic interval arithmetic and devising a nonotonic staff notation | |||
18edo heptatonic third-based, sixthwards, no ups and downs (generator = 5\18 = 3rd) | |||
D * * E * F * * G * A * * B * C * * D | |||
chain of 3rds: E# - G# - B# - D# - F# - A# - C# - E - G - B - D - F - A - C - Eb - Gb - Bb - Db - Fb - Ab - Cb - Ebb etc. | |||
P1 - A1/d2 - m2 - M2 - A2/d3 - P3 - A3/d4 - m4 - M4 - A4/d5 - m5 - M5 - A5/d6 - P6 - A6/d7 - m7 - M7 - A7/d8 - P8 | |||
18edo heptatonic wide-fifth-based (3/2 maps to 11\18 5th) | |||
m2 is descending | |||
18edo pentatonic wide-fifth-based, fifthwards | |||
P1 - A1 - ds3 - ms3 - Ms3 - As3 - d4d - P4d - A4d - AA4d/dd5d - d5d - P5d - A5d - ds7 - ms7 - Ms7 - As7 - d8d - P8d | |||
=__**Summary of EDO notation**__= | |||
"Fifth-less" EDOs (8, 11, 13 and 18) | |||
**__8edo__:** (generator = 1\8 2nd) D E F G * A B C D | |||
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. | |||
A# - B# - C# - D# - E# - F# - G# - A - B - C - D - E - F - G - Ab - Bb - Cb - Db - Eb - Fb - Gb</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>Ups and Downs Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->&quot;Ups and Downs&quot; Notation</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>Ups and Downs Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->&quot;Ups and Downs&quot; Notation</h1> | ||
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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:12:&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:12 --><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 /> | |||
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 /> | ||
D E F G | chain of 2nds: M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 etc.<br /> | ||
A# - B# - C# - D# - E# - F# - G# - A - B - C - D - E - F - G - Ab - Bb - Cb - Db - Eb - Fb - Gb<br /> | |||
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M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9 - d5 etc.<br /> | M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9 - d5 etc.<br /> | ||
P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8<br /> | P1 m2 M2/m3 M3/m4 M4 P5 P6 m7 M7/m8 M8/m9 M9 P8<br /> | ||
requires learning nonotonic interval arithmetic and staff notation<br /> | requires learning nonotonic interval arithmetic and devising a nonotonic staff notation<br /> | ||
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18edo</body></html></pre></div> | 18edo heptatonic narrow-fifth-based, fourthwards, 2 keys per #/b (3/2 maps to 10\18)<br /> | ||
P1 - vm2 - m2 - vM2 - M2/m3 - vM3 - M3 - ^M3 - P4 - ^P4/vP5 - P5 - vm6 - m6 - vM6 - M6/m7 - vM7 - M7 - ^M7 - P8<br /> | |||
fourthwards plus ups and downs is doubly confusing!<br /> | |||
<br /> | |||
18edo nonatonic narrow-fifth-based<br /> | |||
P1 - vP2 - P2 - vP3 - P3 - vP4- P4 - vP5 - P5 - vP6 - P6 - vP7 - P7 - vP8 - P8 - vP9 - P9 - vP10 - P10<br /> | |||
requires learning nonotonic interval arithmetic and devising a nonotonic staff notation<br /> | |||
<br /> | |||
18edo heptatonic third-based, sixthwards, no ups and downs (generator = 5\18 = 3rd)<br /> | |||
D * * E * F * * G * A * * B * C * * D<br /> | |||
chain of 3rds: E# - G# - B# - D# - F# - A# - C# - E - G - B - D - F - A - C - Eb - Gb - Bb - Db - Fb - Ab - Cb - Ebb etc.<br /> | |||
P1 - A1/d2 - m2 - M2 - A2/d3 - P3 - A3/d4 - m4 - M4 - A4/d5 - m5 - M5 - A5/d6 - P6 - A6/d7 - m7 - M7 - A7/d8 - P8<br /> | |||
<br /> | |||
18edo heptatonic wide-fifth-based (3/2 maps to 11\18 5th)<br /> | |||
m2 is descending<br /> | |||
<br /> | |||
18edo pentatonic wide-fifth-based, fifthwards<br /> | |||
P1 - A1 - ds3 - ms3 - Ms3 - As3 - d4d - P4d - A4d - AA4d/dd5d - d5d - P5d - A5d - ds7 - ms7 - Ms7 - As7 - d8d - P8d<br /> | |||
<br /> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Summary of EDO notation"></a><!-- ws:end:WikiTextHeadingRule:10 --><u><strong>Summary of EDO notation</strong></u></h1> | |||
<br /> | |||
&quot;Fifth-less&quot; EDOs (8, 11, 13 and 18)<br /> | |||
<br /> | |||
<strong><u>8edo</u>:</strong> (generator = 1\8 2nd) D E F G * A B C D<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 /> | |||
A# - B# - C# - D# - E# - F# - G# - A - B - C - D - E - F - G - Ab - Bb - Cb - Db - Eb - Fb - Gb</body></html></pre></div> | |||