Trithagorean - Revision history

BudjarnLambeth: Move from Freivald3

2025-09-27T01:48:04Z

Move from Freivald3

@@ Line 1: / Line 1: @@
-! trithagorean.scl
+'''Trithagorean''' or '''freivaldthree''' is a [[just intonation]], [[tritave]]-repeating [[nonoctave]] scale invented by [[Jake Freivald]] in 2011. It has 13 unequal tones per tritave.
+!
-[[Jake_Freivald|Jake Freivald]]'s Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.
+As (3, 5) monzos:
+!
 /25
 /625
 /15625
 /2187
 /81
 /3
 /5
 /3125
 /6561
 /243
 /9
-/1
+== Music ==
-[[Category:12-tone scales]]
+[[Category:13-tone scales]]
 [[Category:Just intonation scales]]
 [[Category:Pages with Scala files]]
 [[Category:trithagorean]]

Xenwolf: recat

2020-12-05T14:35:48Z

recat

← Older revision		Revision as of 14:35, 5 December 2020
Line 32:		Line 32:

	3/1		3/1

	[[Category:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:~~ji]]~~		[[Category:Just intonation scales]]
	~~[[Category:just]]~~
	~~[[Category:scale~~]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]
	[[Category:trithagorean]]		[[Category:trithagorean]]

Keenan Pepper: Moving from Category:12-tone to Category:12-tone scales using Cat-a-lot

2020-12-04T22:25:14Z

Moving from Category:12-tone to Category:12-tone scales using Cat-a-lot

← Older revision		Revision as of 22:25, 4 December 2020
Line 32:		Line 32:

	3/1		3/1
	[[Category:12-tone]]		[[Category:12-tone scales]]
	[[Category:ji]]		[[Category:ji]]
	[[Category:just]]		[[Category:just]]

Keenan Pepper: Moving from Category:Scl to Category:Pages with Scala files using Cat-a-lot

2020-12-04T22:15:33Z

Moving from Category:Scl to Category:Pages with Scala files using Cat-a-lot

← Older revision		Revision as of 22:15, 4 December 2020
Line 36:		Line 36:
	[[Category:just]]		[[Category:just]]
	[[Category:scale]]		[[Category:scale]]
	[[Category:~~scl~~]]		[[Category:Pages with Scala files]]
	[[Category:trithagorean]]		[[Category:trithagorean]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		! trithagorean.scl
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:guest\|guest]] and made on <tt>2013-03-26 03:32:01 UTC</tt>.<br>~~
	~~: The original revision id was <tt>417882740</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">! trithagorean.scl
	!		!
	[[Jake Freivald]]'s Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.
			[[Jake_Freivald\|Jake Freivald]]'s Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.

	12		12

	!		!

	27/25		27/25

	729/625		729/625

	19683/15625		19683/15625

	3125/2187		3125/2187

	125/81		125/81

	5/3		5/3

	9/5		9/5

	6561/3125		6561/3125

	15625/6561		15625/6561

	625/243		625/243

	25/9		25/9
	3/1~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~		3/1
	~~<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>trithagorean</title></head><body>! trithagorean.~~scl~~<br />~~		[[Category:12-tone]]
	~~!<br />~~		[[Category:ji]]
	~~<a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a>'s Trithagorean scale~~: ~~Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.<br />~~		[[Category:just]]
	~~12<br />~~		[[Category:scale]]
	~~!<br />~~		[[Category:scl]]
	~~27/25<br />~~		[[Category:trithagorean]]
	~~729/625<br />~~
	~~19683/15625<br />~~
	~~3125/2187<br />~~
	~~125/81<br />~~
	~~5/3<br />~~
	~~9/5<br />~~
	~~6561/3125<br />~~
	~~15625/6561<br />~~
	~~625/243<br />~~
	~~25/9<br />~~
	~~3/1</body></html></pre></div>~~

Wikispaces>guest: Imported revision 417882740 - Original comment:

2013-03-26T03:32:01Z

**Imported revision 417882740 - Original comment: **

← Older revision		Revision as of 03:32, 26 March 2013
Line 1:		Line 1:
	<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:~~jdfreivald~~\|~~jdfreivald~~]] and made on <tt>~~2012~~-09-03 23:18:00 UTC</tt>.<br>		: This revision was by author [[User:guest\|guest]] and made on <tt>2013-03-26 03:32:01 UTC</tt>.<br>
	: The original revision id was <tt>~~361812796~~</tt>.<br>		: The original revision id was <tt>417882740</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">! trithagorean.scl		<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">! trithagorean.scl
	!		!
	Jake Freivald's Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.		[[Jake Freivald]]'s Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.
	12		12
	!		!
Line 26:		Line 26:
	<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>trithagorean</title></head><body>! trithagorean.scl<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>trithagorean</title></head><body>! trithagorean.scl<br />
	!<br />		!<br />
	Jake Freivald's Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.<br />		<a class="wiki_link" href="/Jake%20Freivald">Jake Freivald</a>'s Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.<br />
	12<br />		12<br />
	!<br />		!<br />

Wikispaces>jdfreivald: Imported revision 361812796 - Original comment:

2012-09-03T23:18:00Z

**Imported revision 361812796 - Original comment: **

← Older revision		Revision as of 23:18, 3 September 2012
Line 1:		Line 1:
	<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>2012-06-~~05 21~~:56:15 UTC</tt>.<br>		: This revision was by author [[User:jdfreivald\|jdfreivald]] and made on <tt>2012-09-03 23:18:00 UTC</tt>.<br>
	: The original revision id was <tt>~~343023760~~</tt>.<br>		: The original revision id was <tt>361812796</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">! trithagorean.scl		<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">! trithagorean.scl
	!		!
	Jake Freivald's Trithagorean scale		Jake Freivald's Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.
	! Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3		12
	12
	!		!
	27/25		27/25
	729/625		729/625
	19683/15625		19683/15625
	3125/2187		3125/2187
	125/81		125/81
	5/3		5/3
	9/5		9/5
	6561/3125		6561/3125
	15625/6561		15625/6561
	625/243		625/243
	25/9		25/9
	3/1		3/1</pre></div>
	</pre></div>
	<h4>Original HTML content:</h4>		<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>trithagorean</title></head><body>! trithagorean.scl<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>trithagorean</title></head><body>! trithagorean.scl<br />
	!<br />		!<br />
	Jake Freivald's Trithagorean scale~~<br />~~		Jake Freivald's Trithagorean scale: Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3 (i.e., 243/125) to fit into 12 tones.<br />
	! Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3<br />		12<br />
	12<br />
	!<br />		!<br />
	27/25<br />		27/25<br />
	729/625<br />		729/625<br />
	19683/15625<br />		19683/15625<br />
	3125/2187<br />		3125/2187<br />
	125/81<br />		125/81<br />
	5/3<br />		5/3<br />
	9/5<br />		9/5<br />
	6561/3125<br />		6561/3125<br />
	15625/6561<br />		15625/6561<br />
	625/243<br />		625/243<br />
	25/9<br />		25/9<br />
	3/1</body></html></pre></div>		3/1</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 343023760 - Original comment:

2012-06-05T21:56:15Z

**Imported revision 343023760 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-06-05 21:56:15 UTC</tt>.<br>
: The original revision id was <tt>343023760</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">! trithagorean.scl
!
Jake Freivald's Trithagorean scale
! Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3
12
!
27/25
729/625
19683/15625
3125/2187
125/81
5/3
9/5
6561/3125
15625/6561
625/243
25/9
3/1
</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>trithagorean</title></head><body>! trithagorean.scl<br />
!<br />
Jake Freivald's Trithagorean scale<br />
! Can be viewed as ennealimmal with period 3 and generator 5/3; -6 to 6 missing -3<br />
12<br />
!<br />
27/25<br />
729/625<br />
19683/15625<br />
3125/2187<br />
125/81<br />
5/3<br />
9/5<br />
6561/3125<br />
15625/6561<br />
625/243<br />
25/9<br />
3/1</body></html></pre></div>