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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: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-09-24 03: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-09-24 03:52:15 UTC</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 | 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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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). <strong><u>Unlike modal UDP notation, the generator isn't always chroma-positive</u>.</strong> There are | 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). <strong><u>Unlike modal UDP notation, the generator isn't always chroma-positive</u>.</strong> There are several disadvantages of only using chroma-positive generators, see <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">Explanation / Rationale-Why not just use UDP notation?</a> below.<br /> | ||
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Pentatonic meantone scales:<br /> | Pentatonic meantone scales:<br /> | ||
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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:<br /> | The A C B D F E G A scale becomes 1 2 2# 3 4 b5 5 1, which has 3 possible names:<br /> | ||
1 3rd Meantone [5] add #2, b5 <br /> | 1 3rd Meantone [5] add #2, b5<br /> | ||
1 2nd Meantone [5] add #2, #5 <br /> | 1 2nd Meantone [5] add #2, #5<br /> | ||
1 4th Meantone [5] add b2, b5<br /> | 1 4th Meantone [5] add b2, b5<br /> | ||
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