Comparison of mode notation systems: Difference between revisions

Wikispaces>TallKite
**Imported revision 593196662 - Original comment: **
Wikispaces>TallKite
**Imported revision 593196896 - 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>2016-09-24 03:22:17 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-09-24 03:52:15 UTC</tt>.<br>
: The original revision id was <tt>593196662</tt>.<br>
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|| Locrian || 7th Meantone [7] || sLLs LLL || C Db Eb F Gb Ab Bb C || Gb Db Ab Eb Bb F __**C**__ ||
|| Locrian || 7th Meantone [7] || sLLs LLL || C Db Eb F Gb Ab Bb C || Gb Db Ab Eb Bb F __**C**__ ||


The octave inverse of a generator is also a generator. To avoid ambiguity in mode numbers, the smaller of the two generators is chosen. An exception is made for 3/2, which is preferred over 4/3 for historical reasons (see below). **__Unlike modal UDP notation, the generator isn't always chroma-positive__.** There are many disadvantages of chroma-positive generators, see [[http://xenharmonic.wikispaces.com/Kite%20Giedraitis%20method-Explanation%20/Kite%20Giedraitis%20method-Explanation%20/%20Rationale-Why%20not%20just%20use%20UDP%20notation?|Explanation / Rationale-Why not just use UDP notation?]]
The octave inverse of a generator is also a generator. To avoid ambiguity in mode numbers, the smaller of the two generators is chosen. An exception is made for 3/2, which is preferred over 4/3 for historical reasons (see below). **__Unlike modal UDP notation, the generator isn't always chroma-positive__.** There are several disadvantages of only using chroma-positive generators, see [[http://xenharmonic.wikispaces.com/Kite%20Giedraitis%20method-Explanation%20/Kite%20Giedraitis%20method-Explanation%20/%20Rationale-Why%20not%20just%20use%20UDP%20notation?|Explanation / Rationale-Why not just use UDP notation?]] below.


Pentatonic meantone scales:
Pentatonic meantone scales:
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The A C B D F E G A scale becomes 1 2 2# 3 4 b5 5 1, which has 3 possible names:
The A C B D F E G A scale becomes 1 2 2# 3 4 b5 5 1, which has 3 possible names:
1 3rd Meantone [5] add #2, b5  
1 3rd Meantone [5] add #2, b5
1 2nd Meantone [5] add #2, #5  
1 2nd Meantone [5] add #2, #5
1 4th Meantone [5] add b2, b5
1 4th Meantone [5] add b2, b5


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&lt;br /&gt;
&lt;br /&gt;
The octave inverse of a generator is also a generator. To avoid ambiguity in mode numbers, the smaller of the two generators is chosen. An exception is made for 3/2, which is preferred over 4/3 for historical reasons (see below). &lt;strong&gt;&lt;u&gt;Unlike modal UDP notation, the generator isn't always chroma-positive&lt;/u&gt;.&lt;/strong&gt; There are many disadvantages of chroma-positive generators, see &lt;a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/Kite%20Giedraitis%20method-Explanation%20/Kite%20Giedraitis%20method-Explanation%20/%20Rationale-Why%20not%20just%20use%20UDP%20notation?" rel="nofollow"&gt;Explanation / Rationale-Why not just use UDP notation?&lt;/a&gt;&lt;br /&gt;
The octave inverse of a generator is also a generator. To avoid ambiguity in mode numbers, the smaller of the two generators is chosen. An exception is made for 3/2, which is preferred over 4/3 for historical reasons (see below). &lt;strong&gt;&lt;u&gt;Unlike modal UDP notation, the generator isn't always chroma-positive&lt;/u&gt;.&lt;/strong&gt; There are several disadvantages of only using chroma-positive generators, see &lt;a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/Kite%20Giedraitis%20method-Explanation%20/Kite%20Giedraitis%20method-Explanation%20/%20Rationale-Why%20not%20just%20use%20UDP%20notation?" rel="nofollow"&gt;Explanation / Rationale-Why not just use UDP notation?&lt;/a&gt; below.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Pentatonic meantone scales:&lt;br /&gt;
Pentatonic meantone scales:&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
The A C B D F E G A scale becomes 1 2 2# 3 4 b5 5 1, which has 3 possible names:&lt;br /&gt;
The A C B D F E G A scale becomes 1 2 2# 3 4 b5 5 1, which has 3 possible names:&lt;br /&gt;
1 3rd Meantone [5] add #2, b5 &lt;br /&gt;
1 3rd Meantone [5] add #2, b5&lt;br /&gt;
1 2nd Meantone [5] add #2, #5 &lt;br /&gt;
1 2nd Meantone [5] add #2, #5&lt;br /&gt;
1 4th Meantone [5] add b2, b5&lt;br /&gt;
1 4th Meantone [5] add b2, b5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;