Comparison of mode notation systems: Difference between revisions
Wikispaces>TallKite **Imported revision 580768947 - Original comment: ** |
Wikispaces>TallKite **Imported revision 580769145 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2016-04-21 06: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-04-21 06:30:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>580769145</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> | ||
| Line 38: | Line 38: | ||
||= ??? || 5th Meantone[5] || LsL ss || C Eb F Ab Bb C || Ab Eb Bb F **C** || | ||= ??? || 5th Meantone[5] || LsL ss || C Eb F Ab Bb C || Ab Eb Bb F **C** || | ||
Chromatic meantone scales. If the fifth were larger than 700¢, which would be the case for Superpyth[12], L and s would be interchanged. | Chromatic meantone scales. If the fifth were larger than 700¢, which would be the case for Superpyth[12], L and s would be interchanged. | ||
|| scale name || Ls pattern || example in C || genchain || | || scale name || Ls pattern || example in C || genchain || | ||
| Line 113: | Line 111: | ||
There are only two Blackwood[10] modes. The period is a fifth-octave = 240¢. The generator is 5/4. There are five genchains. Ups and downs are used to avoid duplicate note names. | There are only two Blackwood[10] modes. The period is a fifth-octave = 240¢. The generator is 5/4. There are five genchains. Ups and downs are used to avoid duplicate note names. | ||
|| scale name || Ls pattern || example in C || 1st genchain || 2nd chain || 3rd chain || 4th chain || 5th chain || | || scale name || Ls pattern || example in C || 1st genchain || 2nd chain || 3rd chain || 4th chain || 5th chain || | ||
|| 1st Blackwood[10] || LsLsLs LsLs || C C# D Ev E F# G G# A B C || **C** Ev || D F# || E G# || G B || A C# || | || 1st Blackwood[10] || LsLsLs LsLs || C C# D Ev E F# G G# A B C ||= **C** Ev || D F# || E G# || G B || A C# || | ||
|| 2nd Blackwood[10] || sLsLsL sLsL || C C^ D Eb E F G Ab A Bb C || Ab **C** || Bb D || C^ E || Eb G || F A || | || 2nd Blackwood[10] || sLsLsL sLsL || C C^ D Eb E F G Ab A Bb C ||= Ab **C** || Bb D || C^ E || Eb G || F A || | ||
| Line 426: | Line 424: | ||
<br /> | <br /> | ||
Chromatic meantone scales. If the fifth were larger than 700¢, which would be the case for Superpyth[12], L and s would be interchanged.<br /> | |||
| Line 711: | Line 707: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:0 --><!-- ws:start:WikiTextAnchorRule:8:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@How to name rank-2 scales-MODMOS scales&quot; title=&quot;Anchor: How to name rank-2 scales-MODMOS scales&quot;/&gt; --><a name="How to name rank-2 scales-MODMOS scales"></a><!-- ws:end:WikiTextAnchorRule:8 --><strong><u>MODMOS scales</u></strong></h2> | ||
As in modal UDP notation, these are written as MOS scales with chromatic alterations. To find the scale's name, first write out the genchain for the scale, which will always have gaps. Then compact it into a chain without gaps by altering one or more notes. There may be more than one way to do this, usually choose the way that alters as few notes as possible. Then determine the mode number from the compacted genchain, then add the appropriate alterations.<br /> | As in modal UDP notation, these are written as MOS scales with chromatic alterations. To find the scale's name, first write out the genchain for the scale, which will always have gaps. Then compact it into a chain without gaps by altering one or more notes. There may be more than one way to do this, usually choose the way that alters as few notes as possible. Then determine the mode number from the compacted genchain, then add the appropriate alterations.<br /> | ||
| Line 796: | Line 792: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Fractional-octave periods"></a><!-- ws:end:WikiTextHeadingRule:2 --><!-- ws:start:WikiTextAnchorRule:9:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@How to name rank-2 scales-Fractional-octave periods&quot; title=&quot;Anchor: How to name rank-2 scales-Fractional-octave periods&quot;/&gt; --><a name="How to name rank-2 scales-Fractional-octave periods"></a><!-- ws:end:WikiTextAnchorRule:9 --><strong><u>Fractional-octave periods</u></strong></h2> | ||
Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:<br /> | Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:<br /> | ||
Eb -- Bb -- F --- C --- G<br /> | Eb -- Bb -- F --- C --- G<br /> | ||
| Line 919: | Line 915: | ||
<td>C C# D Ev E F# G G# A B C<br /> | <td>C C# D Ev E F# G G# A B C<br /> | ||
</td> | </td> | ||
<td><strong>C</strong> Ev<br /> | <td style="text-align: center;"><strong>C</strong> Ev<br /> | ||
</td> | </td> | ||
<td>D F#<br /> | <td>D F#<br /> | ||
| Line 937: | Line 933: | ||
<td>C C^ D Eb E F G Ab A Bb C<br /> | <td>C C^ D Eb E F G Ab A Bb C<br /> | ||
</td> | </td> | ||
<td>Ab <strong>C</strong><br /> | <td style="text-align: center;">Ab <strong>C</strong><br /> | ||
</td> | </td> | ||
<td>Bb D<br /> | <td>Bb D<br /> | ||
| Line 952: | Line 948: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Non-MOS non-MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:4 --><!-- ws:start:WikiTextAnchorRule:10:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@How to name rank-2 scales-Non-MOS scales&quot; title=&quot;Anchor: How to name rank-2 scales-Non-MOS scales&quot;/&gt; --><a name="How to name rank-2 scales-Non-MOS scales"></a><!-- ws:end:WikiTextAnchorRule:10 --><strong><u>Non-MOS non-MODMOS scales</u></strong></h2> | ||
These can be indicated with curly brackets {}, because regular brackets [] are reserved for MOS scales. The same naming methods apply. Examples:<br /> | These can be indicated with curly brackets {}, because regular brackets [] are reserved for MOS scales. The same naming methods apply. Examples:<br /> | ||
<br /> | <br /> | ||
| Line 964: | Line 960: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Color notation"></a><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextAnchorRule:11:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@How to name rank-2 scales-Color notation&quot; title=&quot;Anchor: How to name rank-2 scales-Color notation&quot;/&gt; --><a name="How to name rank-2 scales-Color notation"></a><!-- ws:end:WikiTextAnchorRule:11 --><u>Color notation</u></h2> | ||
This method of scale naming can be combined with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kite%27s%20color%20notation">Kite's color notation</a>, as in &quot;2nd green heptatonic&quot; for 2nd Meantone[7].<br /> | This method of scale naming can be combined with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kite%27s%20color%20notation">Kite's color notation</a>, as in &quot;2nd green heptatonic&quot; for 2nd Meantone[7].<br /> | ||
<br /> | <br /> | ||
| Line 970: | Line 966: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
The rough draft at <!-- ws:start:WikiTextUrlRule: | The rough draft at <!-- ws:start:WikiTextUrlRule:1113:http://xenharmonic.wikispaces.com/Modal+Notation+by+Genchain+Position --><a href="http://xenharmonic.wikispaces.com/Modal+Notation+by+Genchain+Position">http://xenharmonic.wikispaces.com/Modal+Notation+by+Genchain+Position</a><!-- ws:end:WikiTextUrlRule:1113 --> can be deleted.</body></html></pre></div> | ||