User:AthiTrydhen/Flippery - Revision history

AthiTrydhen: AthiTrydhen moved page Flippery to User:AthiTrydhen/Flippery

2024-12-14T05:47:12Z

AthiTrydhen moved page Flippery to User:AthiTrydhen/Flippery

← Older revision	Revision as of 05:47, 14 December 2024
(No difference)

BudjarnLambeth: Added link to person's name

2024-03-02T03:08:39Z

Added link to person's name

← Older revision		Revision as of 03:08, 2 March 2024
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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.

	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.		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.

	== Examples ==		== Examples ==

Fredg999: Categories

2023-12-12T20:15:21Z

Fredg999: Mark term as idiosyncratic, add credit to Praimhin, layout

2023-12-12T20:05:51Z

Mark term as idiosyncratic, add credit to Praimhin, layout

BudjarnLambeth: Moved from category "theory" to "terms"

2023-04-26T09:22:26Z

Moved from category "theory" to "terms"

← Older revision		Revision as of 09:22, 26 April 2023
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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>		<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>
	[[Category:~~Theory~~]]		[[Category:Terms]]
	[[Category:Todo:cleanup]]		[[Category:Todo:cleanup]]

BudjarnLambeth: /* Examples */ Added dot points

2023-04-26T07:40:02Z

Examples: Added dot points

← Older revision		Revision as of 07:40, 26 April 2023
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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.		The scale [1/1, 9/8, 6/5, 5/4, 45/32, 3/2, 8/5, 5/3, 15/8, 2/1] is flippery.

	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.
			* 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.
	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.		* 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.
	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.		* 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.
	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.		* 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.

	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.

	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.

	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.

BudjarnLambeth: Categorised this uncategorised page

2023-04-25T12:07:39Z

Categorised this uncategorised page

← Older revision		Revision as of 12:07, 25 April 2023
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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>		<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>
			[[Category:Theory]]
			[[Category:Todo:cleanup]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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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>~~
	~~: This revision was by author [[User:Praimhin\|Praimhin]] and made on <tt>2016-06-06 09:34:36 UTC</tt>.<br>~~
	~~: The original revision id was <tt>584872051</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>~~
	~~<h4>Original Wikitext content:</h4>~~
	<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.

	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.

	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''' 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.

	==Examples==		==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.

	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.

	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.
	* 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>~~		<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>
	~~<h4>Original HTML content:</h4>~~
	<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 />
	~~<br />~~
	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 />
	~~<br />~~
	~~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 />~~
	~~<br />~~
	~~<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 -->Examples</h2>~~
	~~<br />~~
	~~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 />~~
	~~<br />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~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 />~~
	~~<br />~~
	~~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 />~~
	~~<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~~>

Wikispaces>Praimhin: Imported revision 584872051 - Original comment:

2016-06-06T09:34:36Z

**Imported revision 584872051 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Praimhin|Praimhin]] and made on <tt>2016-06-06 09:34:36 UTC</tt>.<br>
: The original revision id was <tt>584872051</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>
<h4>Original Wikitext content:</h4>
<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.

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 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.

==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.

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.
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.
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.
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.
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.

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.
* 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>
<h4>Original HTML content:</h4>
<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 />
<br />
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 />
<br />
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 />
<br />
<h2 id="toc0"><a name="x-Examples"></a>Examples</h2>
<br />
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 />
<br />
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 />
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 />
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 />
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 />
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 />
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 />
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 />
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 />
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 />
<br />
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 />
<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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	* 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.		* 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.

	~~[[Category:Terms]]~~
	[[Category:Todo:cleanup]]		[[Category:Todo:cleanup]]

← Older revision		Revision as of 20:05, 12 December 2023
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	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.		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.

	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.

	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.

	~~==Examples==~~

			== 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.

	* 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.

	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.

	~~<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>~~		* 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.

	[[Category:Terms]]		[[Category:Terms]]
	[[Category:Todo:cleanup]]		[[Category:Todo:cleanup]]