Comparison of mode notation systems: Difference between revisions
Wikispaces>TallKite **Imported revision 580763689 - Original comment: ** |
Wikispaces>TallKite **Imported revision 580764023 - 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>2016-04-21 04: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-04-21 04:55:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>580764023</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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|| 4th Meantone[5] || minor pentatonic || Lss Ls || C Eb F G Bb C || ---- Eb Bb F **C** G || | || 4th Meantone[5] || minor pentatonic || Lss Ls || C Eb F G Bb C || ---- Eb Bb F **C** G || | ||
|| 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** || | ||
12-note scales: | 12-note meantone scales: | ||
|| scale name || Ls pattern || example in C || genchain || | || scale name || Ls pattern || example in C || genchain || | ||
|| 1st Meantone[12] || sLsLsLL sLsLL || C C# D D# E E# F# G G# A A# B C || **C** G D A E B F# C# G# D# A# E# || | || 1st Meantone[12] || sLsLsLL sLsLL || C C# D D# E E# F# G G# A A# B C || **C** G D A E B F# C# G# D# A# E# || | ||
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|| 7th Meantone[12] || LsLsLLs LsLsL || C Db D Eb E F Gb G Ab A Bb B C || Gb Db Ab Eb Bb F **C** G D A E B || | || 7th Meantone[12] || LsLsLLs LsLsL || C Db D Eb E F Gb G Ab A Bb B C || Gb Db Ab Eb Bb F **C** G D A E B || | ||
||= etc. || || || || | ||= etc. || || || || | ||
If the fifth | If the fifth were larger than 700¢, which would be the case for Superpyth[12], L and s would be interchanged in this table. | ||
==[[#How to name rank-2 scales-Generator choice]]**__Generator choice__**== | ==[[#How to name rank-2 scales-Generator choice]]**__Generator choice__**== | ||
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|| 6th Porcupine[7] || sLss sss || C Dv Ev F^ G Av Bb^ C || Ev F^ G Av Bb^ **C** Dv || | || 6th Porcupine[7] || sLss sss || C Dv Ev F^ G Av Bb^ C || Ev F^ G Av Bb^ **C** Dv || | ||
|| 7th Porcupine[7] || Lsss sss || C D Ev F^ G Av Bb^ C || D Ev F^ G Av Bb^ **C** || | || 7th Porcupine[7] || Lsss sss || C D Ev F^ G Av Bb^ C || D Ev F^ G Av Bb^ **C** || | ||
==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**== | ==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**== | ||
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|| (a mode of the above) || F A B C E F || **F** C * * A E B || Ab Eb Bb **F** C || 4th Meantone[5] #2 #3 #5 || | || (a mode of the above) || F A B C E F || **F** C * * A E B || Ab Eb Bb **F** C || 4th Meantone[5] #2 #3 #5 || | ||
Unfortunately there is some ambiguity, as the two names for melodic minor show. The Japanese pentatonic is b5, not b6, because we use pentatonic scale degrees. The mode of Japanese pentatonic alters three notes, not two, to avoid "b1 b5". Unfortunately, it's not apparent by the scale names that the last two examples are modes of each other. | Unfortunately there is some ambiguity, as the two names for melodic minor show. The Japanese pentatonic is b5, not b6, because we use pentatonic scale degrees. The mode of Japanese pentatonic alters three notes, not two, to avoid "b1 b5". Unfortunately, it's not apparent by the scale names that the last two examples are modes of each other. | ||
==[[#How to name rank-2 scales-Fractional-octave periods]]**__Fractional-octave periods__**== | ==[[#How to name rank-2 scales-Fractional-octave periods]]**__Fractional-octave periods__**== | ||
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The period is a fifth-octave = 240¢. The generator is 5/4. Ups and downs are used to avoid having duplicate notes. | The period is a fifth-octave = 240¢. The generator is 5/4. Ups and downs are used to avoid having duplicate notes. | ||
==[[#How to name rank-2 scales-Non-MOS scales]]**__Non-MOS non-MODMOS scales__**== | |||
These can be indicated with curly brackets {}, because regular brackets [] are reserved for MOS scales. The same naming methods apply. Examples: | |||
C D E F F# G A B C, which has a genchain F **C** G D A E B F#, and is named C 2nd Meantone{8}. | |||
C D E F F# G A Bb C, with genchain Bb F **C** G D A E * F#. Alter as few notes as possible to get if not a MOS, at least an unbroken genchain: F **C** G D A E B F#. The scale is C 2nd Meantone{8} b7. | |||
A B C D D# E F G G# A, with genchain F C G D **A** E B * * G# D#. Sharpen F and C to get an unbroken genchain: G D **A** E B F# C# G# D#, giving the name A 3rd Meantone{9} b3 b7. | |||
F G A C F, with genchain **F** C G * A. No amount of altering will make an unbroken chain, so the name is F 1st Meantone[5] no 5. | |||
==[[#How to name rank-2 scales-Color notation]]__Color notation__== | ==[[#How to name rank-2 scales-Color notation]]__Color notation__== | ||
This method of scale naming can be combined with [[xenharmonic/Kite's color notation|Kite's color notation]], as | This method of scale naming can be combined with [[xenharmonic/Kite's color notation|Kite's color notation]], as in "2nd green heptatonic" for 2nd Meantone[7].</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Naming Rank-2 Scales</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="How to name rank-2 scales"></a><!-- ws:end:WikiTextHeadingRule:0 --><u>How to name rank-2 scales</u></h1> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Naming Rank-2 Scales</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="How to name rank-2 scales"></a><!-- ws:end:WikiTextHeadingRule:0 --><u>How to name rank-2 scales</u></h1> | ||
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</table> | </table> | ||
12-note scales:<br /> | 12-note meantone scales:<br /> | ||
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</table> | </table> | ||
If the fifth | If the fifth were larger than 700¢, which would be the case for Superpyth[12], L and s would be interchanged in this table.<br /> | ||
<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="How to name rank-2 scales-Generator choice"></a><!-- ws:end:WikiTextHeadingRule:2 --><!-- ws:start:WikiTextAnchorRule:12:&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-Generator choice&quot; title=&quot;Anchor: How to name rank-2 scales-Generator choice&quot;/&gt; --><a name="How to name rank-2 scales-Generator choice"></a><!-- ws:end:WikiTextAnchorRule:12 --><strong><u>Generator choice</u></strong></h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="How to name rank-2 scales-Generator choice"></a><!-- ws:end:WikiTextHeadingRule:2 --><!-- ws:start:WikiTextAnchorRule:12:&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-Generator choice&quot; title=&quot;Anchor: How to name rank-2 scales-Generator choice&quot;/&gt; --><a name="How to name rank-2 scales-Generator choice"></a><!-- ws:end:WikiTextAnchorRule:12 --><strong><u>Generator choice</u></strong></h2> | ||
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</table> | </table> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="How to name rank-2 scales-MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:4 --><!-- ws:start:WikiTextAnchorRule:13:&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:13 --><strong><u>MODMOS scales</u></strong></h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="How to name rank-2 scales-MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:4 --><!-- ws:start:WikiTextAnchorRule:13:&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:13 --><strong><u>MODMOS scales</u></strong></h2> | ||
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Unfortunately there is some ambiguity, as the two names for melodic minor show. The Japanese pentatonic is b5, not b6, because we use pentatonic scale degrees. The mode of Japanese pentatonic alters three notes, not two, to avoid &quot;b1 b5&quot;. Unfortunately, it's not apparent by the scale names that the last two examples are modes of each other.<br /> | Unfortunately there is some ambiguity, as the two names for melodic minor show. The Japanese pentatonic is b5, not b6, because we use pentatonic scale degrees. The mode of Japanese pentatonic alters three notes, not two, to avoid &quot;b1 b5&quot;. Unfortunately, it's not apparent by the scale names that the last two examples are modes of each other.<br /> | ||
<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="How to name rank-2 scales-Fractional-octave periods"></a><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextAnchorRule:14:&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:14 --><strong><u>Fractional-octave periods</u></strong></h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="How to name rank-2 scales-Fractional-octave periods"></a><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextAnchorRule:14:&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:14 --><strong><u>Fractional-octave periods</u></strong></h2> | ||
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The period is a fifth-octave = 240¢. The generator is 5/4. Ups and downs are used to avoid having duplicate notes.<br /> | The period is a fifth-octave = 240¢. The generator is 5/4. Ups and downs are used to avoid having duplicate notes.<br /> | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="How to name rank-2 scales-Non-MOS non-MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:8 --><!-- ws:start:WikiTextAnchorRule:15:&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:15 --><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 /> | |||
<br /> | <br /> | ||
C D E F F# G A B C, which has a genchain F <strong>C</strong> G D A E B F#, and is named C 2nd Meantone{8}.<br /> | |||
<br /> | <br /> | ||
C D E F F# G A Bb C, with genchain Bb F <strong>C</strong> G D A E * F#. Alter as few notes as possible to get if not a MOS, at least an unbroken genchain: F <strong>C</strong> G D A E B F#. The scale is C 2nd Meantone{8} b7.<br /> | |||
<br /> | <br /> | ||
A B C D D# E F G G# A, with genchain F C G D <strong>A</strong> E B * * G# D#. Sharpen F and C to get an unbroken genchain: G D <strong>A</strong> E B F# C# G# D#, giving the name A 3rd Meantone{9} b3 b7.<br /> | |||
<br /> | <br /> | ||
F G A C F, with genchain <strong>F</strong> C G * A. No amount of altering will make an unbroken chain, so the name is F 1st Meantone[5] no 5.<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="How to name rank-2 scales-Color notation"></a><!-- ws:end:WikiTextHeadingRule:10 --><!-- ws:start:WikiTextAnchorRule:16:&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:16 --><u>Color notation</u></h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="How to name rank-2 scales-Color notation"></a><!-- ws:end:WikiTextHeadingRule:10 --><!-- ws:start:WikiTextAnchorRule:16:&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:16 --><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 | 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].</body></html></pre></div> | ||