Kite's Genchain mode numbering: Difference between revisions

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-09-26 06:02:50 UTC</tt>.<br>

: The original revision id was <tt>593282992</tt>.<br>

=[[#Rank-2 scales that are neither MOS nor MODMOS]]**__Other rank-2 scales__**=  

Some scales have too many or too few notes to be MOS or MODMOS. If they have an unbroken genchain, they can be named Meantone [6], Meantone [8], etc. Curly brackets could perhaps be used to distinguish them from MOS scales: Meantone {6} and Meantone {8}.

However chromatic alterations create genchains with gaps that are very difficult to name. These scales must be named as MOS scales with notes added or removed, using "add" and "no", analogous to chord names. As with MODMOS scales, there is often more than one name for a scale.

|| C D E F F# G A B C || F __**C**__ G D A E B F# || C 2nd Meantone {8} || LLMs MLLM ||

||= " ||= " || C 1st Meantone [7] add b4 * || " ||

|| nonotonic: ||  ||  ||   ||

|| A B C# D D# E F# G G# A || G D __**A**__ E B F# C# G# D# || A 3rd Meantone {9} || LLMsM LMsM ||

||= " ||= " || A 1st Meantone [7] add b4, b7 || " ||

|| F G A C D E F || __**F**__ C G D A E || F 1st Meantone {6} || MML MMs ||

||= " ||= " || F 1st Meantone [7] no4 || " ||

Another category is scales that would be MOS, but the generator is too sharp or flat. For example, a genchain F C G D A E B of 8\13 fifths makes an out-of-order scale A C B D F E G A. This scale is best named as Meantone [5] with added notes: Which brings us to...

&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Other rank-2 scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:22:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@Rank-2 scales that are neither MOS nor MODMOS&amp;quot; title=&amp;quot;Anchor: Rank-2 scales that are neither MOS nor MODMOS&amp;quot;/&amp;gt; --&gt;&lt;a name="Rank-2 scales that are neither MOS nor MODMOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:22 --&gt;&lt;strong&gt;&lt;u&gt;Other rank-2 scales&lt;/u&gt;&lt;/strong&gt;&lt;/h1&gt;

Some scales have too many or too few notes to be MOS or MODMOS. If they have an unbroken genchain, they can be named Meantone [6], Meantone [8], etc. Curly brackets could perhaps be used to distinguish them from MOS scales: Meantone {6} and Meantone {8}.&lt;br /&gt;

However chromatic alterations create genchains with gaps that are very difficult to name. These scales must be named as MOS scales with notes added or removed, using &amp;quot;add&amp;quot; and &amp;quot;no&amp;quot;, analogous to chord names. As with MODMOS scales, there is often more than one name for a scale.&lt;br /&gt;

         &lt;td&gt;C 2nd Meantone {8}&lt;br /&gt;

         &lt;td&gt;&lt;br /&gt;

         &lt;td&gt;A 3rd Meantone {9}&lt;br /&gt;

         &lt;td&gt;&amp;quot;&lt;br /&gt;

         &lt;td&gt;&amp;quot;&lt;br /&gt;

         &lt;td&gt;A 3rd Meantone [7] add #4, #7&lt;br /&gt;

         &lt;td&gt;LMLsM MLsM&lt;br /&gt;

         &lt;td&gt;F 1st Meantone {6}&lt;br /&gt;

Another category is scales that would be MOS, but the generator is too sharp or flat. For example, a genchain F C G D A E B of 8\13 fifths makes an out-of-order scale A C B D F E G A. This scale is best named as Meantone [5] with added notes: Which brings us to...&lt;br /&gt;