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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''fixed-frame flip''' is a chord progression of the form a:b:c <-> 1/c:1/b:1/a, where the a of the first chord is the same as the 1/c of the second chord. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:Praimhin|Praimhin]] and made on <tt>2016-06-06 09:34:36 UTC</tt>.<br>
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| : The original revision id was <tt>584872051</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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;white-space: pre-wrap ! important" class="old-revision-html">A **fixed-frame flip** is a chord progression of the form a:b:c <-> 1/c:1/b:1/a, where the a of the first chord is the same as the 1/c of the second chord.
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| A **fixed-center flip** is a chord progression of the form a:b:c <-> 1/c:1/b:1/a, where the b of the first chord is the same as the 1/b of the second chord. | | A '''fixed-center flip''' is a chord progression of the form a:b:c <-> 1/c:1/b:1/a, where the b of the first chord is the same as the 1/b of the second chord. |
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| A scale is **flippery** if every step of the scale is part of either a fixed frame flip or a fixed center flip using only notes in the scale. | | A scale is '''flippery'''{{idiosyncratic}} (term proposed by [[Praimhin]]) if every step of the scale is part of either a fixed frame flip or a fixed center flip using only notes in the scale. |
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| ==Examples==
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| | == Examples == |
| The scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 15/8, 2/1] is flippery. | | The scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 15/8, 2/1] is flippery. |
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| 1/1-9/8: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 1/1 serves as the 1/3 of the first chord and 9/8 as the 3 of the second chord. | | * 1/1-9/8: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 1/1 serves as the 1/3 of the first chord and 9/8 as the 3 of the second chord. |
| 9/8-6/5: part of the fixed center flip 3:4:5 -> 1/5:1/4:1/3, where 9/8 serves as the 3 of the first chord and 6/5 as the 1/5 of the second chord. | | * 9/8-6/5: part of the fixed center flip 3:4:5 -> 1/5:1/4:1/3, where 9/8 serves as the 3 of the first chord and 6/5 as the 1/5 of the second chord. |
| 6/5-5/4: part of the fixed frame flip 1/6:1/5:1/4 -> 4:5:6, where 6/5 serves as the 1/5 of the first chord and 5/4 as the 5 of the second chord. | | * 6/5-5/4: part of the fixed frame flip 1/6:1/5:1/4 -> 4:5:6, where 6/5 serves as the 1/5 of the first chord and 5/4 as the 5 of the second chord. |
| 5/4-45/32: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 5/4 serves as the 1/3 of the first chord and 45/32 as the 3 of the second chord. | | * 5/4-45/32: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 5/4 serves as the 1/3 of the first chord and 45/32 as the 3 of the second chord. |
| 45/32-3/2: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 45/32 serves as the 1/4 of the first chord and 3/2 as the 4 of the second chord. | | * 45/32-3/2: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 45/32 serves as the 1/4 of the first chord and 3/2 as the 4 of the second chord. |
| 3/2-8/5: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 3/2 serves as the 1/4 of the first chord and 8/5 as the 4 of the second chord. | | * 3/2-8/5: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 3/2 serves as the 1/4 of the first chord and 8/5 as the 4 of the second chord. |
| 8/5-5/3: part of the fixed center flip 4:5:6 -> 1/6:1/5:1/4, where 8/5 serves as the 1/4 of the first chord and 5/3 as the 1/6 of the second chord. | | * 8/5-5/3: part of the fixed center flip 4:5:6 -> 1/6:1/5:1/4, where 8/5 serves as the 1/4 of the first chord and 5/3 as the 1/6 of the second chord. |
| 5/3-15/8: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 5/3 serves as the 1/3 of the first chord and 15/8 as the 3 of the second chord. | | * 5/3-15/8: part of the fixed frame flip 1/4:1/3:1/2 -> 2:3:4, where 5/3 serves as the 1/3 of the first chord and 15/8 as the 3 of the second chord. |
| 15/8-2/1: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 15/8 serves as the 1/4 of the first chord and 2/1 as the 4 of the second chord. | | * 15/8-2/1: part of the fixed frame flip 1/5:1/4:1/3 -> 3:4:5, where 15/8 serves as the 1/4 of the first chord and 2/1 as the 4 of the second chord. |
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| In contrast, the scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 16/9, 2/1] is not flippery; the step 5/3-16/9 is not part of any flip. | | In contrast, the scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 16/9, 2/1] is not flippery; the step 5/3-16/9 is not part of any flip. |
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| * A hypothetical fixed frame flip involving the step 5/3-16/9 would look like 4/3:5/3:20/9 → 4/3:16/9:20/9, but neither the note 4/3 nor 10/9 (octave reduced 20/9) are in the scale. | | * A hypothetical fixed frame flip involving the step 5/3-16/9 would look like 4/3:5/3:20/9 → 4/3:16/9:20/9, but neither the note 4/3 nor 10/9 (octave reduced 20/9) are in the scale. |
| * A hypothetical fixed center flip involving the step 5/3-16/9 would look either like 1/1:4/3:5/3 → 16/15:4/3:16/9, or 5/3:20/9:50/18 → 16/9:20/9:80/27, which again involve notes outside the scale.</pre></div> | | * A hypothetical fixed center flip involving the step 5/3-16/9 would look either like 1/1:4/3:5/3 → 16/15:4/3:16/9, or 5/3:20/9:50/18 → 16/9:20/9:80/27, which again involve notes outside the scale. |
| <h4>Original HTML content:</h4>
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| <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>flippery</title></head><body>A <strong>fixed-frame flip</strong> is a chord progression of the form a:b:c &lt;-&gt; 1/c:1/b:1/a, where the a of the first chord is the same as the 1/c of the second chord.<br />
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| A <strong>fixed-center flip</strong> is a chord progression of the form a:b:c &lt;-&gt; 1/c:1/b:1/a, where the b of the first chord is the same as the 1/b of the second chord.<br />
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| A scale is <strong>flippery</strong> if every step of the scale is part of either a fixed frame flip or a fixed center flip using only notes in the scale.<br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 -->Examples</h2>
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| <br />
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| The scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 15/8, 2/1] is flippery.<br />
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| 1/1-9/8: part of the fixed frame flip 1/4:1/3:1/2 -&gt; 2:3:4, where 1/1 serves as the 1/3 of the first chord and 9/8 as the 3 of the second chord.<br />
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| 9/8-6/5: part of the fixed center flip 3:4:5 -&gt; 1/5:1/4:1/3, where 9/8 serves as the 3 of the first chord and 6/5 as the 1/5 of the second chord.<br />
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| 6/5-5/4: part of the fixed frame flip 1/6:1/5:1/4 -&gt; 4:5:6, where 6/5 serves as the 1/5 of the first chord and 5/4 as the 5 of the second chord.<br />
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| 5/4-45/32: part of the fixed frame flip 1/4:1/3:1/2 -&gt; 2:3:4, where 5/4 serves as the 1/3 of the first chord and 45/32 as the 3 of the second chord.<br />
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| 45/32-3/2: part of the fixed frame flip 1/5:1/4:1/3 -&gt; 3:4:5, where 45/32 serves as the 1/4 of the first chord and 3/2 as the 4 of the second chord.<br />
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| 3/2-8/5: part of the fixed frame flip 1/5:1/4:1/3 -&gt; 3:4:5, where 3/2 serves as the 1/4 of the first chord and 8/5 as the 4 of the second chord.<br />
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| 8/5-5/3: part of the fixed center flip 4:5:6 -&gt; 1/6:1/5:1/4, where 8/5 serves as the 1/4 of the first chord and 5/3 as the 1/6 of the second chord.<br />
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| 5/3-15/8: part of the fixed frame flip 1/4:1/3:1/2 -&gt; 2:3:4, where 5/3 serves as the 1/3 of the first chord and 15/8 as the 3 of the second chord.<br />
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| 15/8-2/1: part of the fixed frame flip 1/5:1/4:1/3 -&gt; 3:4:5, where 15/8 serves as the 1/4 of the first chord and 2/1 as the 4 of the second chord.<br />
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| In contrast, the scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 16/9, 2/1] is not flippery; the step 5/3-16/9 is not part of any flip.<br />
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| <ul><li>A hypothetical fixed frame flip involving the step 5/3-16/9 would look like 4/3:5/3:20/9 → 4/3:16/9:20/9, but neither the note 4/3 nor 10/9 (octave reduced 20/9) are in the scale.</li><li>A hypothetical fixed center flip involving the step 5/3-16/9 would look either like 1/1:4/3:5/3 → 16/15:4/3:16/9, or 5/3:20/9:50/18 → 16/9:20/9:80/27, which again involve notes outside the scale.</li></ul></body></html></pre></div>
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