Chord cubes: Difference between revisions
Wikispaces>genewardsmith **Imported revision 269726358 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 269727664 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-10-28 17: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-28 17:59:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>269727664</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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Here are the smaller cube scales: | Here are the smaller cube scales: | ||
**Cube | **Cube(2) -- the stellated hexany, 14 notes** | ||
[21/20, 15/14, 35/32, 9/8, 5/4, 21/16, 35/24, 3/2, 49/32, 25/16, 105/64, 7/4, 15/8, 2] | [21/20, 15/14, 35/32, 9/8, 5/4, 21/16, 35/24, 3/2, 49/32, 25/16, 105/64, 7/4, 15/8, 2] | ||
**Alt | **Alt(2) -- the 7-limit tonality diamond, 13 notes** | ||
[8/7, 7/6, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 12/7, 7/4, 2] | [8/7, 7/6, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 12/7, 7/4, 2] | ||
**Cube | **Cube(3) 32 notes** | ||
[49/48, 25/24, 21/20, 15/14, 35/32, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 7/5, 10/7, 35/24, 3/2, 49/32, 25/16, 8/5, 105/64, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 15/8, 35/18, 2] | [49/48, 25/24, 21/20, 15/14, 35/32, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 7/5, 10/7, 35/24, 3/2, 49/32, 25/16, 8/5, 105/64, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 15/8, 35/18, 2] | ||
**Alt | **Alt(3) 32 notes** | ||
[36/35, 21/20, 15/14, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 48/35, 7/5, 10/7, 36/25, 72/49, 3/2, 54/35, 8/5, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 64/35, 15/8, 48/25, 96/49, 2] | [36/35, 21/20, 15/14, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 48/35, 7/5, 10/7, 36/25, 72/49, 3/2, 54/35, 8/5, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 64/35, 15/8, 48/25, 96/49, 2] | ||
**Cube | **Cube(4) 62 notes** | ||
[49/48, 525/512, 25/24, 21/20, 15/14, 343/320, 35/32, 125/112, 9/8, 8/7, 147/128, 7/6, 75/64, 6/5, 175/144, 60/49, 49/40, 315/256, 5/4, 63/50, 245/192, 9/7, 125/96, 21/16, 4/3, 75/56, 343/256, 27/20, 175/128, 7/5, 45/32, 10/7, 735/512, 35/24, 147/100, 3/2, 75/49, 49/32, 25/16, 63/40, 8/5, 45/28, 105/64, 5/3, 42/25, 27/16, 245/144, 12/7, 7/4, 25/14, 343/192, 9/5, 175/96, 90/49, 147/80, 15/8, 245/128, 27/14, 35/18, 125/64, 63/32, 2] | [49/48, 525/512, 25/24, 21/20, 15/14, 343/320, 35/32, 125/112, 9/8, 8/7, 147/128, 7/6, 75/64, 6/5, 175/144, 60/49, 49/40, 315/256, 5/4, 63/50, 245/192, 9/7, 125/96, 21/16, 4/3, 75/56, 343/256, 27/20, 175/128, 7/5, 45/32, 10/7, 735/512, 35/24, 147/100, 3/2, 75/49, 49/32, 25/16, 63/40, 8/5, 45/28, 105/64, 5/3, 42/25, 27/16, 245/144, 12/7, 7/4, 25/14, 343/192, 9/5, 175/96, 90/49, 147/80, 15/8, 245/128, 27/14, 35/18, 125/64, 63/32, 2] | ||
**Alt | **Alt(4) 63 notes** | ||
[50/49, 49/48, 36/35, 25/24, 21/20, 16/15, 15/14, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 25/21, 6/5, 128/105, 60/49, 49/40, 5/4, 32/25, 9/7, 35/27, 64/49, 21/16, 4/3, 168/125, 49/36, 48/35, 25/18, 480/343, 7/5, 10/7, 343/240, 36/25, 35/24, 72/49, 125/84, 3/2, 32/21, 49/32, 54/35, 14/9, 25/16, 8/5, 80/49, 49/30, 105/64, 5/3, 42/25, 12/7, 7/4, 16/9, 25/14, 9/5, 64/35, 28/15, 15/8, 40/21, | [50/49, 49/48, 36/35, 25/24, 21/20, 16/15, 15/14, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 25/21, 6/5, 128/105, 60/49, 49/40, 5/4, 32/25, 9/7, 35/27, 64/49, 21/16, 4/3, 168/125, 49/36, 48/35, 25/18, 480/343, 7/5, 10/7, 343/240, 36/25, 35/24, 72/49, 125/84, 3/2, 32/21, 49/32, 54/35, 14/9, 25/16, 8/5, 80/49, 49/30, 105/64, 5/3, 42/25, 12/7, 7/4, 16/9, 25/14, 9/5, 64/35, 28/15, 15/8, 40/21, | ||
48/25, 35/18, 96/49, 49/25, 2] | 48/25, 35/18, 96/49, 49/25, 2] | ||
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Here are the smaller cube scales:<br /> | Here are the smaller cube scales:<br /> | ||
<br /> | <br /> | ||
<strong>Cube | <strong>Cube(2) -- the stellated hexany, 14 notes</strong><br /> | ||
[21/20, 15/14, 35/32, 9/8, 5/4, 21/16, 35/24, 3/2, 49/32, 25/16, 105/64, 7/4, 15/8, 2]<br /> | [21/20, 15/14, 35/32, 9/8, 5/4, 21/16, 35/24, 3/2, 49/32, 25/16, 105/64, 7/4, 15/8, 2]<br /> | ||
<br /> | <br /> | ||
<strong>Alt | <strong>Alt(2) -- the 7-limit tonality diamond, 13 notes</strong><br /> | ||
[8/7, 7/6, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 12/7, 7/4, 2]<br /> | [8/7, 7/6, 6/5, 5/4, 4/3, 7/5, 10/7, 3/2, 8/5, 5/3, 12/7, 7/4, 2]<br /> | ||
<br /> | <br /> | ||
<strong>Cube | <strong>Cube(3) 32 notes</strong><br /> | ||
[49/48, 25/24, 21/20, 15/14, 35/32, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 7/5, 10/7, 35/24, 3/2, 49/32, 25/16, 8/5, 105/64, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 15/8, 35/18, 2]<br /> | [49/48, 25/24, 21/20, 15/14, 35/32, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 7/5, 10/7, 35/24, 3/2, 49/32, 25/16, 8/5, 105/64, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 15/8, 35/18, 2]<br /> | ||
<br /> | <br /> | ||
<strong>Alt | <strong>Alt(3) 32 notes</strong><br /> | ||
[36/35, 21/20, 15/14, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 48/35, 7/5, 10/7, 36/25, 72/49, 3/2, 54/35, 8/5, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 64/35, 15/8, 48/25, 96/49, 2]<br /> | [36/35, 21/20, 15/14, 9/8, 8/7, 7/6, 6/5, 60/49, 49/40, 5/4, 9/7, 21/16, 4/3, 48/35, 7/5, 10/7, 36/25, 72/49, 3/2, 54/35, 8/5, 5/3, 42/25, 12/7, 7/4, 25/14, 9/5, 64/35, 15/8, 48/25, 96/49, 2]<br /> | ||
<br /> | <br /> | ||
<strong>Cube | <strong>Cube(4) 62 notes</strong><br /> | ||
[49/48, 525/512, 25/24, 21/20, 15/14, 343/320, 35/32, 125/112, 9/8, 8/7, 147/128, 7/6, 75/64, 6/5, 175/144, 60/49, 49/40, 315/256, 5/4, 63/50, 245/192, 9/7, 125/96, 21/16, 4/3, 75/56, 343/256, 27/20, 175/128, 7/5, 45/32, 10/7, 735/512, 35/24, 147/100, 3/2, 75/49, 49/32, 25/16, 63/40, 8/5, 45/28, 105/64, 5/3, 42/25, 27/16, 245/144, 12/7, 7/4, 25/14, 343/192, 9/5, 175/96, 90/49, 147/80, 15/8, 245/128, 27/14, 35/18, 125/64, 63/32, 2]<br /> | [49/48, 525/512, 25/24, 21/20, 15/14, 343/320, 35/32, 125/112, 9/8, 8/7, 147/128, 7/6, 75/64, 6/5, 175/144, 60/49, 49/40, 315/256, 5/4, 63/50, 245/192, 9/7, 125/96, 21/16, 4/3, 75/56, 343/256, 27/20, 175/128, 7/5, 45/32, 10/7, 735/512, 35/24, 147/100, 3/2, 75/49, 49/32, 25/16, 63/40, 8/5, 45/28, 105/64, 5/3, 42/25, 27/16, 245/144, 12/7, 7/4, 25/14, 343/192, 9/5, 175/96, 90/49, 147/80, 15/8, 245/128, 27/14, 35/18, 125/64, 63/32, 2]<br /> | ||
<br /> | <br /> | ||
<strong>Alt | <strong>Alt(4) 63 notes</strong><br /> | ||
[50/49, 49/48, 36/35, 25/24, 21/20, 16/15, 15/14, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 25/21, 6/5, 128/105, 60/49, 49/40, 5/4, 32/25, 9/7, 35/27, 64/49, 21/16, 4/3, 168/125, 49/36, 48/35, 25/18, 480/343, 7/5, 10/7, 343/240, 36/25, 35/24, 72/49, 125/84, 3/2, 32/21, 49/32, 54/35, 14/9, 25/16, 8/5, 80/49, 49/30, 105/64, 5/3, 42/25, 12/7, 7/4, 16/9, 25/14, 9/5, 64/35, 28/15, 15/8, 40/21,<br /> | [50/49, 49/48, 36/35, 25/24, 21/20, 16/15, 15/14, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 25/21, 6/5, 128/105, 60/49, 49/40, 5/4, 32/25, 9/7, 35/27, 64/49, 21/16, 4/3, 168/125, 49/36, 48/35, 25/18, 480/343, 7/5, 10/7, 343/240, 36/25, 35/24, 72/49, 125/84, 3/2, 32/21, 49/32, 54/35, 14/9, 25/16, 8/5, 80/49, 49/30, 105/64, 5/3, 42/25, 12/7, 7/4, 16/9, 25/14, 9/5, 64/35, 28/15, 15/8, 40/21,<br /> | ||
48/25, 35/18, 96/49, 49/25, 2]<br /> | 48/25, 35/18, 96/49, 49/25, 2]<br /> | ||