Cv scales - Revision history

BudjarnLambeth: {{Navbox scale gallery}}

2025-09-28T03:02:59Z

← Older revision		Revision as of 03:02, 28 September 2025
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	2/1		2/1
	</pre>		</pre>

			{{Navbox scale gallery}}
	[[Category:Lists of scales]]		[[Category:Lists of scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]
	[[Category:Todo:cleanup]]		[[Category:Todo:cleanup]]

BudjarnLambeth: Tagged a dead link.

2023-06-18T05:32:48Z

Tagged a dead link.

← Older revision		Revision as of 05:32, 18 June 2023
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	From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451]		From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451] {{dead link}}

	"''It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale\|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.''		"''It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale\|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.''

BudjarnLambeth at 07:47, 26 April 2023

2023-04-26T07:47:44Z

← Older revision		Revision as of 07:47, 26 April 2023
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	From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451]		From [http://tech.groups.yahoo.com/group/tuning-math/message/11451 http://tech.groups.yahoo.com/group/tuning-math/message/11451]

	It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale\|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.		"''It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic_scale\|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.''

	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.		''Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent_val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.''

	I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.		''I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.''"

	<pre>		<pre>

BudjarnLambeth: Added pre tags and removed line breaks

2023-04-26T07:47:00Z

Added pre tags and removed line breaks

Show changes

BudjarnLambeth: Categorised this uncategorised page

2023-04-25T11:24:06Z

Categorised this uncategorised page

← Older revision		Revision as of 11:24, 25 April 2023
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	2		2
			[[Category:Lists of scales]]
			[[Category:Pages with Scala files]]
			[[Category:Todo:cleanup]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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Wikispaces>genewardsmith: Imported revision 206542286 - Original comment:

2011-03-02T12:54:26Z

**Imported revision 206542286 - Original comment: **

Wikispaces>genewardsmith: Imported revision 206541660 - Original comment:

2011-03-02T12:52:53Z

**Imported revision 206541660 - Original comment: **

← Older revision		Revision as of 12:52, 2 March 2011
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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>2011-03-02 12:51:14 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-03-02 12:52:53 UTC</tt>.<br>
	: The original revision id was <tt>~~206540962~~</tt>.<br>		: The original revision id was <tt>206541660</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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	<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">From [[http://tech.groups.yahoo.com/group/tuning-math/message/11451]]		<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">From [[http://tech.groups.yahoo.com/group/tuning-math/message/11451]]

	It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are		It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.
	strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.

	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.
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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>cv scales</title></head><body>From <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11451" rel="nofollow">http://tech.groups.yahoo.com/group/tuning-math/message/11451</a><br />		<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>cv scales</title></head><body>From <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11451" rel="nofollow">http://tech.groups.yahoo.com/group/tuning-math/message/11451</a><br />
	<br />		<br />
	It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are~~<br />~~		It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.<br />
	strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.<br />
	<br />		<br />
	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20val">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20val">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />

Wikispaces>genewardsmith: Imported revision 206540962 - Original comment:

2011-03-02T12:51:14Z

**Imported revision 206540962 - Original comment: **

Wikispaces>genewardsmith: Imported revision 206540752 - Original comment:

2011-03-02T12:50:37Z

**Imported revision 206540752 - 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: 
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-02 12:50:37 UTC</tt>. 
: The original revision id was <tt>206540752</tt>. 
: The revision comment was: <tt></tt> 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it. 
<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">From [[http://tech.groups.yahoo.com/group/tuning-math/message/11451]]

It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are
strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.

Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent vals|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.

I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.

! cv1.scl
First 12/5 <12 19 28 34| epimorphic
12
!
16/15
8/7
7/6
5/4
4/3
7/5
3/2
8/5
5/3
7/4
28/15
2

! cv3.scl
Third 12/5 scale <12 19 28 34| epimorphic = pris
12
!
16/15
28/25
7/6
5/4
4/3
7/5
3/2
8/5
5/3
7/4
28/15
2

! cv5.scl
Fifth 12/5 scale <12 19 28 34| epimorphic = inverse hen12
12
!
15/14
9/8
6/5
5/4
21/16
7/5
3/2
8/5
12/7
7/4
15/8
2

! cv7.scl
Seventh 12/5 scale <12 19 28 34| epimorphic
12
!
21/20
9/8
6/5
9/7
21/16
7/5
3/2
8/5
12/7
9/5
15/8
2

! cv9.scl
Ninth 12/5 scale <12 19 28 34| epimorphic
12
!
15/14
8/7
7/6
5/4
4/3
10/7
32/21
8/5
5/3
25/14
40/21
2

! cv11.scl
Eleventh 12/5 scale <12 19 28 34| epimorphic
12
!
15/14
9/8
6/5
9/7
21/16
7/5
3/2
8/5
12/7
9/5
15/8
2

! cv13.scl
Thirteenth 12/5 scale <12 19 28 34| epimorphic
12
!
16/15
28/25
6/5
5/4
4/3
7/5
3/2
8/5
12/7
7/4
28/15
2
</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>cv scales</title></head><body>From <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11451" rel="nofollow">http://tech.groups.yahoo.com/group/tuning-math/message/11451</a> 
 
It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are 
strictly epimorphic. Checking for permutation epimorphic scales may be a good plan. 
 
Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20vals">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads. 
 
I found two scales I've found before, &quot;pris&quot; and &quot;hen12&quot;. The latter is an adjusted version of the Hahn reduction of a chain of fifths. 
 
! cv1.scl 
First 12/5 &lt;12 19 28 34| epimorphic 
12 
! 
16/15 
8/7 
7/6 
5/4 
4/3 
7/5 
3/2 
8/5 
5/3 
7/4 
28/15 
2 
 
! cv3.scl 
Third 12/5 scale &lt;12 19 28 34| epimorphic = pris 
12 
! 
16/15 
28/25 
7/6 
5/4 
4/3 
7/5 
3/2 
8/5 
5/3 
7/4 
28/15 
2 
 
! cv5.scl 
Fifth 12/5 scale &lt;12 19 28 34| epimorphic = inverse hen12 
12 
! 
15/14 
9/8 
6/5 
5/4 
21/16 
7/5 
3/2 
8/5 
12/7 
7/4 
15/8 
2 
 
! cv7.scl 
Seventh 12/5 scale &lt;12 19 28 34| epimorphic 
12 
! 
21/20 
9/8 
6/5 
9/7 
21/16 
7/5 
3/2 
8/5 
12/7 
9/5 
15/8 
2 
 
! cv9.scl 
Ninth 12/5 scale &lt;12 19 28 34| epimorphic 
12 
! 
15/14 
8/7 
7/6 
5/4 
4/3 
10/7 
32/21 
8/5 
5/3 
25/14 
40/21 
2 
 
! cv11.scl 
Eleventh 12/5 scale &lt;12 19 28 34| epimorphic 
12 
! 
15/14 
9/8 
6/5 
9/7 
21/16 
7/5 
3/2 
8/5 
12/7 
9/5 
15/8 
2 
 
! cv13.scl 
Thirteenth 12/5 scale &lt;12 19 28 34| epimorphic 
12 
! 
16/15 
28/25 
6/5 
5/4 
4/3 
7/5 
3/2 
8/5 
12/7 
7/4 
28/15 
2</body></html></pre></div>

← Older revision		Revision as of 12:54, 2 March 2011
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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>2011-03-02 12:52:53 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-03-02 12:54:26 UTC</tt>.<br>
	: The original revision id was <tt>~~206541660~~</tt>.<br>		: The original revision id was <tt>206542286</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>
Line 8:		Line 8:
	<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">From [[http://tech.groups.yahoo.com/group/tuning-math/message/11451]]		<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">From [[http://tech.groups.yahoo.com/group/tuning-math/message/11451]]

	It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.		It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly [[Periodic scale\|epimorphic]]. Checking for permutation epimorphic scales may be a good plan.

	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.
Line 136:		Line 136:
	<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>cv scales</title></head><body>From <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11451" rel="nofollow">http://tech.groups.yahoo.com/group/tuning-math/message/11451</a><br />		<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>cv scales</title></head><body>From <a class="wiki_link_ext" href="http://tech.groups.yahoo.com/group/tuning-math/message/11451" rel="nofollow">http://tech.groups.yahoo.com/group/tuning-math/message/11451</a><br />
	<br />		<br />
	It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.<br />		It turns out there are a lot of five tetrad scales involving only 11 notes (I've got a list of 132 of them) but none I've found are strictly <a class="wiki_link" href="/Periodic%20scale">epimorphic</a>. Checking for permutation epimorphic scales may be a good plan.<br />
	<br />		<br />
	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20val">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20val">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />

← Older revision		Revision as of 12:51, 2 March 2011
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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>2011-03-02 12:50:37 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-03-02 12:51:14 UTC</tt>.<br>
	: The original revision id was <tt>~~206540752~~</tt>.<br>		: The original revision id was <tt>206540962</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>
Line 11:		Line 11:
	strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.		strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.

	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent ~~vals~~\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the [[Patent val\|standard val]]. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.

	I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.		I found two scales I've found before, "pris" and "hen12". The latter is an adjusted version of the Hahn reduction of a chain of fifths.
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	strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.<br />		strictly epimorphic. Checking for permutation epimorphic scales may be a good plan.<br />
	<br />		<br />
	Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%~~20vals~~">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />		Of course, there are even more five tetrad scales with 12 notes, but here I give only ones which are epimorphic--all, as it turns out, with the <a class="wiki_link" href="/Patent%20val">standard val</a>. I cataloged these in pairs, where the odd numbers have three major and two minor tetrads, and the even pairs the reverse. Marvel tempering removes this distinction, and I only list the odd, with the three major tetrads.<br />
	<br />		<br />
	I found two scales I've found before, &quot;pris&quot; and &quot;hen12&quot;. The latter is an adjusted version of the Hahn reduction of a chain of fifths.<br />		I found two scales I've found before, &quot;pris&quot; and &quot;hen12&quot;. The latter is an adjusted version of the Hahn reduction of a chain of fifths.<br />