Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 558816109 - Original comment: ** |
Wikispaces>TallKite **Imported revision 570451013 - 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- | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-12-18 03:24:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>570451013</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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"perfect" EDOs, with a fifth = four sevenths of an octave = 4\7 = 686¢ | "perfect" EDOs, with a fifth = four sevenths of an octave = 4\7 = 686¢ | ||
fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢ | fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢ | ||
[[image:The fifth of EDOs 5-53.png width="800" height="1035"]] | |||
This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy. | This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy. | ||
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You can write out chord progressions using the ups/downs notation for note names. Here's the first 4 chords of Paul Erlich's 22edo composition Tibia: | You can write out chord progressions using the ups/downs notation for note names. Here's the first 4 chords of Paul Erlich's 22edo composition Tibia: | ||
G,vM7,no5 = "G downmajor seven, no five | G,vM7,no5 = "G downmajor seven, no five" | ||
Eb^,vM,M9 = "E flat up, downmajor, major nine" | Eb^,vM,M9 = "E flat up, downmajor, major nine" | ||
Gm7,no5 (no comma needed) = "G minor seven, no five" | Gm7,no5 (no comma needed) = "G minor seven, no five" | ||
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&quot;perfect&quot; EDOs, with a fifth = four sevenths of an octave = 4\7 = 686¢<br /> | &quot;perfect&quot; EDOs, with a fifth = four sevenths of an octave = 4\7 = 686¢<br /> | ||
fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢<br /> | fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢<br /> | ||
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This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.<br /> | This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.<br /> | ||
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You can write out chord progressions using the ups/downs notation for note names. Here's the first 4 chords of Paul Erlich's 22edo composition Tibia:<br /> | You can write out chord progressions using the ups/downs notation for note names. Here's the first 4 chords of Paul Erlich's 22edo composition Tibia:<br /> | ||
G,vM7,no5 = &quot;G downmajor seven, no five | G,vM7,no5 = &quot;G downmajor seven, no five&quot;<br /> | ||
Eb^,vM,M9 = &quot;E flat up, downmajor, major nine&quot;<br /> | Eb^,vM,M9 = &quot;E flat up, downmajor, major nine&quot;<br /> | ||
Gm7,no5 (no comma needed) = &quot;G minor seven, no five&quot;<br /> | Gm7,no5 (no comma needed) = &quot;G minor seven, no five&quot;<br /> | ||
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IIvM,m7 = &quot;two downmajor, minor seven&quot;<br /> | IIvM,m7 = &quot;two downmajor, minor seven&quot;<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Naming Chords-Chord names in other EDOs"></a><!-- ws:end:WikiTextHeadingRule:6 --><u>Chord names in other EDOs</u></h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Naming Chords-Chord names in other EDOs"></a><!-- ws:end:WikiTextHeadingRule:6 --><u>Chord names in other EDOs</u></h2> | ||
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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 /> | ||
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