Comparison of mode notation systems: Difference between revisions
Wikispaces>TallKite **Imported revision 580764023 - Original comment: ** |
Wikispaces>TallKite **Imported revision 580764207 - 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 04:59:41 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>580764207</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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|| 6th Meantone[7] || Phrygian || sLLL sLL || C Db Eb F G Ab Bb C || ---- Db Ab Eb Bb F **C** G || | || 6th Meantone[7] || Phrygian || sLLL sLL || C Db Eb F G Ab Bb C || ---- Db Ab Eb Bb F **C** G || | ||
|| 7th Meantone[7] || Locrian || sLLs LLL || C Db Eb F Gb Ab Bb C || Gb Db Ab Eb Bb F **C** || | || 7th Meantone[7] || Locrian || sLLs LLL || C Db Eb F Gb Ab Bb C || Gb Db Ab Eb Bb F **C** || | ||
Similar modes are grouped together. The overall progression is from sharper to flatter. However for the 5 pentatonic modes, the overall progression is from flatter to sharper. Unlike UDP notation, the generator isn't always chroma-positive. | Similar modes are grouped together. The overall progression is from sharper to flatter. However for the 5 pentatonic modes, the overall progression is from flatter to sharper. Unlike modal UDP notation, the generator isn't always chroma-positive. | ||
|| new scale name || old scale name || Ls pattern || example in C || --------- genchain ------- || | || new scale name || old scale name || Ls pattern || example in C || --------- genchain ------- || | ||
|| 1st Meantone[5] || major pentatonic || ssL sL || C D E G A C ||> **C** G D A E || | || 1st Meantone[5] || major pentatonic || ssL sL || C D E G A C ||> **C** G D A E || | ||
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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 meantone scales: | 12-note meantone scales: | ||
|| scale name || Ls pattern || example in C || genchain || | || scale name || Ls pattern || example in C || genchain || | ||
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|| 7th Sensi[8] || Lss Ls Lss || C D Eb E# Gb G# A# B C || A# D Gb B Eb G# **C** E# || | || 7th Sensi[8] || Lss Ls Lss || C D Eb E# Gb G# A# B C || A# D Gb B Eb G# **C** E# || | ||
|| 8th Sensi[8] || Ls Lss Lss || C D Eb F Gb G# A# B C || F A# D Gb B Eb G# **C** || | || 8th Sensi[8] || Ls Lss Lss || C D Eb F Gb G# A# B C || F A# D Gb B Eb G# **C** || | ||
Porcupine[7] modes in 22edo (generator = 2nd = ~10/9 = 3\22, L = 4\22, s = 3\22), using [[xenharmonic/ups and downs notation|ups and downs notation]]. | Porcupine[7] modes in 22edo (generator = 2nd = ~10/9 = 3\22, L = 4\22, s = 3\22), using [[xenharmonic/ups and downs notation|ups and downs notation]]. | ||
Because the generator is a 2nd, the genchain looks like the scale. | Because the generator is a 2nd, the genchain looks like the scale. | ||
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==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**== | ==[[#How to name rank-2 scales-MODMOS scales]]**__MODMOS scales__**== | ||
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 | 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 a chain without gaps by altering one or more notes. There may be more than one way to do this, usually choose the way 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 || | || 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 || | || 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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|| 4th Shrutal[10] || sLsss-sLsss || C C# Eb E F F# G A Bb B C || Eb Bb F **C** G || A E B F# C# || | || 4th Shrutal[10] || sLsss-sLsss || C C# Eb E F F# G A Bb B C || Eb Bb F **C** G || A E B F# C# || | ||
|| 5th Shrutal[10] || Lssss-Lssss || C D Eb E F F# Ab A Bb B C || Ab Eb Bb F **C** || D A E B F# || | || 5th Shrutal[10] || Lssss-Lssss || C D Eb E F F# Ab A Bb B C || Ab Eb Bb F **C** || D A E B F# || | ||
Both Blackwood[10] modes: | Both Blackwood[10] modes: | ||
|| scale name || Ls pattern || example in C || 1st genchain || 2nd chain || 3rd chain || 4th chain || 5th chain || | || scale name || Ls pattern || example in C || 1st genchain || 2nd chain || 3rd chain || 4th chain || 5th chain || | ||
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</table> | </table> | ||
Similar modes are grouped together. The overall progression is from sharper to flatter. However for the 5 pentatonic modes, the overall progression is from flatter to sharper. Unlike UDP notation, the generator isn't always chroma-positive.<br /> | Similar modes are grouped together. The overall progression is from sharper to flatter. However for the 5 pentatonic modes, the overall progression is from flatter to sharper. Unlike modal UDP notation, the generator isn't always chroma-positive.<br /> | ||
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</table> | </table> | ||
<br /> | |||
12-note meantone scales:<br /> | 12-note meantone scales:<br /> | ||
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</table> | </table> | ||
<br /> | |||
Porcupine[7] modes in 22edo (generator = 2nd = ~10/9 = 3\22, L = 4\22, s = 3\22), using <a class="wiki_link" href="http://xenharmonic.wikispaces.com/ups%20and%20downs%20notation">ups and downs notation</a>.<br /> | Porcupine[7] modes in 22edo (generator = 2nd = ~10/9 = 3\22, L = 4\22, s = 3\22), using <a class="wiki_link" href="http://xenharmonic.wikispaces.com/ups%20and%20downs%20notation">ups and downs notation</a>.<br /> | ||
Because the generator is a 2nd, the genchain looks like the scale.<br /> | Because the generator is a 2nd, the genchain looks like the scale.<br /> | ||
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<br /> | <br /> | ||
<!-- 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> | ||
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 | 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 a chain without gaps by altering one or more notes. There may be more than one way to do this, usually choose the way that alters as few notes as possible. Then find the name of the mode, then add the appropriate alterations.<br /> | ||
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</table> | </table> | ||
<br /> | |||
Both Blackwood[10] modes:<br /> | Both Blackwood[10] modes:<br /> | ||