Comparison of mode notation systems: Difference between revisions
Wikispaces>TallKite **Imported revision 581770529 - Original comment: ** |
Wikispaces>TallKite **Imported revision 581770783 - 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>2016-05-01 07: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-05-01 07:14:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>581770783</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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7th Meantone [7,+1,+3]: C D Eb F Gb Ab Bb C | 7th Meantone [7,+1,+3]: C D Eb F Gb Ab Bb C | ||
===** | ===**__2nd method for MODMOS scales__**=== | ||
Another approach applies chromatic alterations not to the genchain but to the resulting scale, using scale degrees, not genchain positions, similar to UDP notation. There is still ambiguity. | Another approach applies chromatic alterations not to the genchain but to the resulting scale, using scale degrees, not genchain positions, similar to UDP notation. There is still ambiguity. | ||
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1st Meantone [7] #2: C D# E F# G A B C | 1st Meantone [7] #2: C D# E F# G A B C | ||
2nd Meantone [7] #:5 C D E F G# A B C | 2nd Meantone [7] #:5 C D E F G# A B C | ||
7th Meantone [7] b4 b7: C Db Eb Fb Gb Ab Bbb C | 7th Meantone [7] b4 b7: C Db Eb Fb Gb Ab Bbb C (breaks the pattern to avoid "3rd Meantone [7] #1") | ||
4th Meantone [7] #4: C D Eb F# G A Bb C | 4th Meantone [7] #4: C D Eb F# G A Bb C | ||
5th Meantone [7] #7: C D Eb F G Ab B C | 5th Meantone [7] #7: C D Eb F G Ab B C | ||
6th Meantone [7] #3: C Db E F G Ab Bb C | 6th Meantone [7] #3: C Db E F G Ab Bb C | ||
7th Meantone [7] #6: C Db Eb F Gb A Bb C | 7th Meantone [7] #6: C Db Eb F Gb A Bb C | ||
The advantage of the 1st method is that the modes of a MODMOS differ only by mode number. | The advantage of the 1st method is that the modes of a MODMOS differ only by mode number. Thus it's easier to tell if two scales are modes of each other. However, if ambiguity is allowed, this won't always be true. | ||
The advantage of the 2nd method is that it's closer to how musicians describe scales, and thus more intuitive. | |||
==[[#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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//[Problem: The 2nd and 3rd examples use heptatonic alterations even though the scales aren't heptatonic.]// | //[Problem: The 2nd and 3rd examples use heptatonic alterations even though the scales aren't heptatonic.]// | ||
//[Problem: octotonic alterations would be absurd!]// | //[Problem: octotonic alterations would be absurd!]// | ||
//[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].// | |||
//[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].// | //[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].// | ||
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<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Proposed method of naming all possible rank-2 scales">Proposed method of naming all possible rank-2 scales</a></div> | <!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Proposed method of naming all possible rank-2 scales">Proposed method of naming all possible rank-2 scales</a></div> | ||
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-MODMOS scales">MODMOS scales</a></div> | <!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-MODMOS scales">MODMOS scales</a></div> | ||
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 3em;"><a href="#Kite Giedraitis method-MODMOS scales- | <!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 3em;"><a href="#Kite Giedraitis method-MODMOS scales-2nd method for MODMOS scales">2nd method for MODMOS scales</a></div> | ||
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Fractional-octave periods">Fractional-octave periods</a></div> | <!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Fractional-octave periods">Fractional-octave periods</a></div> | ||
<!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Non-MOS non-MODMOS scales">Non-MOS non-MODMOS scales</a></div> | <!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 2em;"><a href="#Kite Giedraitis method-Non-MOS non-MODMOS scales">Non-MOS non-MODMOS scales</a></div> | ||
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7th Meantone [7,+1,+3]: C D Eb F Gb Ab Bb C<br /> | 7th Meantone [7,+1,+3]: C D Eb F Gb Ab Bb C<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Kite Giedraitis method-MODMOS scales- | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Kite Giedraitis method-MODMOS scales-2nd method for MODMOS scales"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong><u>2nd method for MODMOS scales</u></strong></h3> | ||
Another approach applies chromatic alterations not to the genchain but to the resulting scale, using scale degrees, not genchain positions, similar to UDP notation. There is still ambiguity.<br /> | Another approach applies chromatic alterations not to the genchain but to the resulting scale, using scale degrees, not genchain positions, similar to UDP notation. There is still ambiguity.<br /> | ||
<br /> | <br /> | ||
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1st Meantone [7] #2: C D# E F# G A B C<br /> | 1st Meantone [7] #2: C D# E F# G A B C<br /> | ||
2nd Meantone [7] #:5 C D E F G# A B C<br /> | 2nd Meantone [7] #:5 C D E F G# A B C<br /> | ||
7th Meantone [7] b4 b7: C Db Eb Fb Gb Ab Bbb C<br /> | 7th Meantone [7] b4 b7: C Db Eb Fb Gb Ab Bbb C (breaks the pattern to avoid &quot;3rd Meantone [7] #1&quot;)<br /> | ||
4th Meantone [7] #4: C D Eb F# G A Bb C<br /> | 4th Meantone [7] #4: C D Eb F# G A Bb C<br /> | ||
5th Meantone [7] #7: C D Eb F G Ab B C<br /> | 5th Meantone [7] #7: C D Eb F G Ab B C<br /> | ||
6th Meantone [7] #3: C Db E F G Ab Bb C<br /> | 6th Meantone [7] #3: C Db E F G Ab Bb C<br /> | ||
7th Meantone [7] #6: C Db Eb F Gb A Bb C<br /> | 7th Meantone [7] #6: C Db Eb F Gb A Bb C<br /> | ||
<br /> | <br /> | ||
The advantage of the 1st method is that the modes of a MODMOS differ only by mode number.<br /> | The advantage of the 1st method is that the modes of a MODMOS differ only by mode number. Thus it's easier to tell if two scales are modes of each other. However, if ambiguity is allowed, this won't always be true.<br /> | ||
<br /> | |||
The advantage of the 2nd method is that it's closer to how musicians describe scales, and thus more intuitive.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Kite Giedraitis method-Fractional-octave periods"></a><!-- ws:end:WikiTextHeadingRule:10 --><!-- ws:start:WikiTextAnchorRule:51:&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:51 --><strong><u>Fractional-octave periods</u></strong></h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Kite Giedraitis method-Fractional-octave periods"></a><!-- ws:end:WikiTextHeadingRule:10 --><!-- ws:start:WikiTextAnchorRule:51:&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:51 --><strong><u>Fractional-octave periods</u></strong></h2> | ||
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<em>[Problem: The 2nd and 3rd examples use heptatonic alterations even though the scales aren't heptatonic.]</em><br /> | <em>[Problem: The 2nd and 3rd examples use heptatonic alterations even though the scales aren't heptatonic.]</em><br /> | ||
<em>[Problem: octotonic alterations would be absurd!]</em><br /> | <em>[Problem: octotonic alterations would be absurd!]</em><br /> | ||
<br /> | |||
<em>[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].</em><br /> | |||
<br /> | <br /> | ||
<em>[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].</em><br /> | <em>[Possible solution: non-MOS scales can't have chromatic alterations, only missing notes. 2nd example is 3rd Meantone[9,no8]. 3rd example is 5th Meantone[11,no8,no9].</em><br /> | ||
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