Comparison of mode notation systems: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-04-21 04:25:26 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-04-21 04:30:39 UTC</tt>.

: The original revision id was <tt>~~580762649~~</tt>.

: The original revision id was <tt>580762913</tt>.

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==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**==

~~Similar to 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 7 contiguous notes by altering one or more notes. There may be more than one way to do this usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.

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 7 contiguous notes by altering one or more notes. There may be more than one way to do this, usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.

|| old scale name || example in A || genchain (* marks a gap) || compacted genchain || new scale name ||

|| Harmonic minor || A B C D E F G# A || F C * D **A** E B * * G# || F C G D **A** E B || 5th Meantone[7] #7 ||

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==[[#How to name rank-2 scales-Fractional-octave periods]]**__Fractional-octave periods__**==

Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:.

Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:

Eb _ Bb _ F ~~__C__~~ G

Eb _ Bb _ F __ C __ G

A ~~__E__~~ B ~~__F~~# _ C#__

A __ E __ B __ F# _ C#

~~__Or~~ alternatively, using 16/15 not 3/2 as the generator:__

Or alternatively, using 16/15 not 3/2 as the generator:

~~__Eb~~ _ ~~E__~~ F ~~__F~~# _ ~~G__~~

Eb _ E __ F __ F# _ G

~~__A__~~ Bb _ B ~~__C__~~ C#

A __ Bb _ B __ C __ C#

Multiple genchains occur because rank-2 really is 2 dimensional, with a "genweb" running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. When the period is an octave, this octave-reduces to a single horizontal genchain. But shrutal has a genweb with vertical half-octaves, which octave-reduces to two parallel genchains. Temperaments with third-octave periods reduce to a triple-genchain, and so forth.

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<h2 id="toc2"><a name="How to name rank-2 scales-MODMOS scales"></a><a name="How to name rank-2 scales-MODMOS scales"></a>MODMOS scales</h2>

~~Similar to 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 7 contiguous notes by altering one or more notes. There may be more than one way to do this usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.

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 7 contiguous notes by altering one or more notes. There may be more than one way to do this, usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.

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<h2 id="toc3"><a name="How to name rank-2 scales-Fractional-octave periods"></a><a name="How to name rank-2 scales-Fractional-octave periods"></a>Fractional-octave periods</h2>

Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:.

Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:

Eb _ Bb _ F C G

Eb _ Bb _ F C G

A E B F# _ C#~~~~

A E B F# _ C#

~~~~Or alternatively, using 16/15 not 3/2 as the generator:~~~~

Or alternatively, using 16/15 not 3/2 as the generator:

~~~~Eb _ E F F# _ G~~~~

Eb _ E F F# _ G

~~~~A Bb _ B C C#

A Bb _ B C C#

Multiple genchains occur because rank-2 really is 2 dimensional, with a &quot;genweb&quot; running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. When the period is an octave, this octave-reduces to a single horizontal genchain. But shrutal has a genweb with vertical half-octaves, which octave-reduces to two parallel genchains. Temperaments with third-octave periods reduce to a triple-genchain, and so forth.

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 04:25:26 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-04-21 04:30:39 UTC</tt>.<br>
-: The original revision id was <tt>580762649</tt>.<br>
+: The original revision id was <tt>580762913</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>
@@ Line 72: / Line 72: @@
 ==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**==
-Similar to 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 7 contiguous notes by altering one or more notes. There may be more than one way to do this usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.
+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 7 contiguous notes by altering one or more notes. There may be more than one way to do this, usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.
 || old scale name || example in A || genchain (* marks a gap) || compacted genchain || new scale name ||
 || Harmonic minor || A B C D E F G# A || F C * D **A** E B * * G# || F C G D **A** E B || 5th Meantone[7] #7 ||
@@ Line 82: / Line 82: @@
 ==[[#How to name rank-2 scales-Fractional-octave periods]]**__Fractional-octave periods__**==
-Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:.
+Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:
-Eb _ Bb _ F  __C__  G
+Eb _ Bb _ F __ C __ G
-A  __E__  B  __F# _ C#__
+A __ E __ B __ F# _ C#
-__Or alternatively, using 16/15 not 3/2 as the generator:__
+Or alternatively, using 16/15 not 3/2 as the generator:
-__Eb _ E__  F  __F# _ G__
+Eb _ E __ F __ F# _ G
-__A__  Bb _ B  __C__  C#
+A __ Bb _ B __ C __ C#
 Multiple genchains occur because rank-2 really is 2 dimensional, with a "genweb" running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. When the period is an octave, this octave-reduces to a single horizontal genchain. But shrutal has a genweb with vertical half-octaves, which octave-reduces to two parallel genchains. Temperaments with third-octave periods reduce to a triple-genchain, and so forth.
@@ Line 697: / Line 697: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="How to name rank-2 scales-MODMOS scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:13:&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@@How to name rank-2 scales-MODMOS scales&amp;quot; title=&amp;quot;Anchor: How to name rank-2 scales-MODMOS scales&amp;quot;/&amp;gt; --&gt;&lt;a name="How to name rank-2 scales-MODMOS scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:13 --&gt;&lt;strong&gt;&lt;u&gt;MODMOS scales&lt;/u&gt;&lt;/strong&gt;&lt;/h2&gt;
-  Similar to 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 7 contiguous notes by altering one or more notes. There may be more than one way to do this usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.&lt;br /&gt;
+  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 7 contiguous notes by altering one or more notes. There may be more than one way to do this, usually choose the method that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.&lt;br /&gt;
@@ Line 778: / Line 778: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="How to name rank-2 scales-Fractional-octave periods"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:14:&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@@How to name rank-2 scales-Fractional-octave periods&amp;quot; title=&amp;quot;Anchor: How to name rank-2 scales-Fractional-octave periods&amp;quot;/&amp;gt; --&gt;&lt;a name="How to name rank-2 scales-Fractional-octave periods"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:14 --&gt;&lt;strong&gt;&lt;u&gt;Fractional-octave periods&lt;/u&gt;&lt;/strong&gt;&lt;/h2&gt;
-  Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:.&lt;br /&gt;
+  Fractional-period rank-2 temperaments have multiple genchains running in parallel. For example, shrutal[10] might look like this:&lt;br /&gt;
-Eb _ Bb _ F  &lt;u&gt;C&lt;/u&gt;  G&lt;br /&gt;
+Eb _ Bb _ F &lt;u&gt; C &lt;/u&gt; G&lt;br /&gt;
-A  &lt;u&gt;E&lt;/u&gt;  B  &lt;u&gt;F# _ C#&lt;/u&gt;&lt;br /&gt;
+A &lt;u&gt; E &lt;/u&gt; B &lt;u&gt; F# _ C#&lt;br /&gt;
 &lt;br /&gt;
-&lt;u&gt;Or alternatively, using 16/15 not 3/2 as the generator:&lt;/u&gt;&lt;br /&gt;
+Or alternatively, using 16/15 not 3/2 as the generator:&lt;br /&gt;
-&lt;u&gt;Eb _ E&lt;/u&gt;  F  &lt;u&gt;F# _ G&lt;/u&gt;&lt;br /&gt;
+Eb _ E &lt;/u&gt; F &lt;u&gt; F# _ G&lt;br /&gt;
-&lt;u&gt;A&lt;/u&gt;  Bb _ B  &lt;u&gt;C&lt;/u&gt;  C#&lt;br /&gt;
+A &lt;/u&gt; Bb _ B &lt;u&gt; C &lt;/u&gt; C#&lt;br /&gt;
 &lt;br /&gt;
 Multiple genchains occur because rank-2 really is 2 dimensional, with a &amp;quot;genweb&amp;quot; running in octaves (or whatever the period is) vertically and fifths (or whatever the generator is) horizontally. When the period is an octave, this octave-reduces to a single horizontal genchain. But shrutal has a genweb with vertical half-octaves, which octave-reduces to two parallel genchains. Temperaments with third-octave periods reduce to a triple-genchain, and so forth.&lt;br /&gt;