17edo tetrachords - Revision history

Fredg999 category edits: Removing from Category:Equal divisions of the octave using Cat-a-lot

2022-06-08T17:11:47Z

Removing from Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 17:11, 8 June 2022
Line 242:		Line 242:

	[[Category:17edo]]		[[Category:17edo]]
	~~[[Category:Equal divisions of the octave]]~~
	[[Category:Tetrachords]]		[[Category:Tetrachords]]

Fredg999 category edits: Moving from Category:Tetrachord to Category:Tetrachords using Cat-a-lot

2022-06-08T17:05:36Z

Moving from Category:Tetrachord to Category:Tetrachords using Cat-a-lot

← Older revision		Revision as of 17:05, 8 June 2022
Line 243:		Line 243:
	[[Category:17edo]]		[[Category:17edo]]
	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]
	[[Category:~~tetrachord~~]]		[[Category:Tetrachords]]

Xenwolf: cleanup table syntax (remove empty style definitions)

2021-06-14T22:23:48Z

cleanup table syntax (remove empty style definitions)

Show changes

Keenan Pepper: label all the ajnas and add a couple notes about them

2021-06-14T22:01:52Z

label all the ajnas and add a couple notes about them

← Older revision		Revision as of 22:01, 14 June 2021
Line 91:		Line 91:
	\| \| 1-3-3		\| \| 1-3-3
	\| \| do ra me fa		\| \| do ra me fa
	\| \| phrygian		\| \| phrygian (jins Kurd)
	\| \| diatonic (phrygian)		\| \| diatonic (phrygian)
	\|-		\|-
Line 101:		Line 101:
	\| \| 1-5-1		\| \| 1-5-1
	\| \| do ra mi fa		\| \| do ra mi fa
	\| \| balkan, Hijaz ~~(arabic)~~		\| \| balkan, jins Hijaz
	\| \|		\| \|
	\|-		\|-
	\| \| 2-2-3		\| \| 2-2-3
	\| \| do ru me fa		\| \| do ru me fa
	\| \| Bayyati ~~(arabic)~~		\| \| jins Bayyati
	\| \| [[17edo neutral scale]] (led)		\| \| [[17edo neutral scale]] (led)
	\|-		\|-
	\| \| 2-3-2		\| \| 2-3-2
	\| \| do ru mu fa		\| \| do ru mu fa
	\| \| ~~Iraq (arabic)~~		\| \| "ʻIraq" tetrachord
	\| \| [[17edo neutral scale]] (bish, fish, jwl)		\| \| [[17edo neutral scale]] (bish, fish, jwl)
	\|-		\|-
Line 121:		Line 121:
	\| \| 3-1-3		\| \| 3-1-3
	\| \| do re me fa		\| \| do re me fa
	\| \| aeolian		\| \| aeolian (jins Nahawand)
	\| \| diatonic (aolian, dorian) ; [[scorp]] (mode 3)		\| \| diatonic (aolian, dorian) ; [[scorp]] (mode 3)
	\|-		\|-
	\| \| 3-2-2		\| \| 3-2-2
	\| \| do re mu fa		\| \| do re mu fa
	\| \| Rast ~~(arabic)~~		\| \| jins Rast
	\| \| [[17edo neutral scale]] (dril, gil, kleeth)		\| \| [[17edo neutral scale]] (dril, gil, kleeth)
	\|-		\|-
	\| \| 3-3-1		\| \| 3-3-1
	\| \| do re mi fa		\| \| do re mi fa
	\| \| ionian		\| \| ionian (jins ʻAjam)
	\| \| diatonic (ionian, mixolydian)		\| \| diatonic (ionian, mixolydian)
	\|}		\|}

			Notes on the above:
			* Many references say that the semitones in Hijaz should be greater than 100 cents, but in 17edo they are significantly smaller (about 70 cents).
			* The "ʻIraq" tetrachord is similar to the first four notes of Maqam ʻIraq, but those are not usually considered a jins because the fourth note is not a place of rest (in particular it is not the ''ghammaz''). This tetrachord is jins Sikah with an extra note on top making a perfect fourth with the tonic.

	Another way of showing them:		Another way of showing them:

Keenan Pepper: cleanup of unneccesary pipe links, html lists, etc.

2021-06-14T21:31:32Z

cleanup of unneccesary pipe links, html lists, etc.

← Older revision		Revision as of 21:31, 14 June 2021
Line 5:		Line 5:
	\| ja = 17平均律テトラコード		\| ja = 17平均律テトラコード
	}}		}}
			Let a "17edo primary [[tetrachord]]" mean a set of four pitches in [[17edo]] that span a [[perfect fourth]] (seven degrees) and include one of each of the following:

	~~Let a "17edo primary [[tetrachord\|tetrachord]]" mean a set of four pitches in [[17edo\|17edo]] that span a [[Perfect_fourth\|perfect fourth]] (seven degrees) and include one of each of the following:~~		* the unison - 0 (degrees of 17edo) - solfege name 'do'.
			* a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).
	~~<ol><li>~~the unison - 0 (degrees of 17edo) - solfege name 'do'.~~</li><li>~~a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).~~</li><li>~~a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).~~</li><li>~~the perfect fourth - 7 (fa).~~</li></ol>~~		* a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).
			* the perfect fourth - 7 (fa).

	===correspondance:===		===correspondance:===
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	\| \| do ru me fa		\| \| do ru me fa
	\| \| Bayyati (arabic)		\| \| Bayyati (arabic)
	\| \| [[~~17edo_neutral_scale\|~~17edo neutral scale]] (led)		\| \| [[17edo neutral scale]] (led)
	\|-		\|-
	\| \| 2-3-2		\| \| 2-3-2
	\| \| do ru mu fa		\| \| do ru mu fa
	\| \| Iraq (arabic)		\| \| Iraq (arabic)
	\| \| [[~~17edo_neutral_scale\|~~17edo neutral scale]] (bish, fish, jwl)		\| \| [[17edo neutral scale]] (bish, fish, jwl)
	\|-		\|-
	\| \| 2-4-1		\| \| 2-4-1
Line 120:		Line 122:
	\| \| do re me fa		\| \| do re me fa
	\| \| aeolian		\| \| aeolian
	\| \| diatonic (aolian, dorian) ; [[~~Scorp\|~~scorp]] (mode 3)		\| \| diatonic (aolian, dorian) ; [[scorp]] (mode 3)
	\|-		\|-
	\| \| 3-2-2		\| \| 3-2-2
	\| \| do re mu fa		\| \| do re mu fa
	\| \| Rast (arabic)		\| \| Rast (arabic)
	\| \| [[~~17edo_neutral_scale\|~~17edo neutral scale]] (dril, gil, kleeth)		\| \| [[17edo neutral scale]] (dril, gil, kleeth)
	\|-		\|-
	\| \| 3-3-1		\| \| 3-3-1
Line 233:		Line 235:
	\|}		\|}

	See also: [[~~tetrachord\|~~tetrachord]], [[~~22edo_tetrachords\|~~22edo tetrachords]], [[~~Tricesimoprimal_Tetrachordal_Tesseract\|~~Tricesimoprimal Tetrachordal Tesseract]].		See also: [[tetrachord]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]].

	[[Category:17edo]]		[[Category:17edo]]
	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]
	[[Category:tetrachord]]		[[Category:tetrachord]]

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:14Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
Line 235:		Line 235:
	See also: [[tetrachord\|tetrachord]], [[22edo_tetrachords\|22edo tetrachords]], [[Tricesimoprimal_Tetrachordal_Tesseract\|Tricesimoprimal Tetrachordal Tesseract]].		See also: [[tetrachord\|tetrachord]], [[22edo_tetrachords\|22edo tetrachords]], [[Tricesimoprimal_Tetrachordal_Tesseract\|Tricesimoprimal Tetrachordal Tesseract]].
	[[Category:17edo]]		[[Category:17edo]]
	[[Category:~~edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:tetrachord]]		[[Category:tetrachord]]

Xenwolf: replaced interwiki solution

2018-10-14T20:43:11Z

replaced interwiki solution

← Older revision		Revision as of 20:43, 14 October 2018
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	~~<span style~~=~~"display: block; text-align: right;">[[~~17平均律テトラコード~~\|日本語]]</span>~~		{{interwiki
			\| de =
			\| en = 17edo tetrachords
			\| es =
			\| ja = 17平均律テトラコード
			}}

	Let a "17edo primary [[tetrachord\|tetrachord]]" mean a set of four pitches in [[17edo\|17edo]] that span a [[Perfect_fourth\|perfect fourth]] (seven degrees) and include one of each of the following:		Let a "17edo primary [[tetrachord\|tetrachord]]" mean a set of four pitches in [[17edo\|17edo]] that span a [[Perfect_fourth\|perfect fourth]] (seven degrees) and include one of each of the following:

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>hstraub: Imported revision 556417547 - Original comment:

2015-08-10T05:54:45Z

**Imported revision 556417547 - Original comment: **

← Older revision		Revision as of 05:54, 10 August 2015
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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:hstraub\|hstraub]] and made on <tt>~~2014~~-09-~~19 04~~:39:57 UTC</tt>.<br>		: This revision was by author [[User:hstraub\|hstraub]] and made on <tt>2015-08-10 05:54:45 UTC</tt>.<br>
	: The original revision id was <tt>~~522926172~~</tt>.<br>		: The original revision id was <tt>556417547</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>
	<h4>Original Wikitext content:</h4>		<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">Let a "17edo primary [[tetrachord]]" mean a set of four pitches in [[17edo]] that span a [[perfect fourth]] (seven degrees) and include one of each of the following:		<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"><span style="display: block; text-align: right;">[[17平均律テトラコード\|日本語]]
			</span>
			Let a "17edo primary [[tetrachord]]" mean a set of four pitches in [[17edo]] that span a [[perfect fourth]] (seven degrees) and include one of each of the following:

	# the unison - 0 (degrees of 17edo) - solfege name 'do'.		# the unison - 0 (degrees of 17edo) - solfege name 'do'.
Line 77:		Line 79:
	See also: [[tetrachord]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]].</pre></div>		See also: [[tetrachord]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]].</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>17edo tetrachords</title></head><body>Let a &quot;17edo primary <a class="wiki_link" href="/tetrachord">tetrachord</a>&quot; mean a set of four pitches in <a class="wiki_link" href="/17edo">17edo</a> that span a <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> (seven degrees) and include one of each of the following:<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>17edo tetrachords</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="/17%E5%B9%B3%E5%9D%87%E5%BE%8B%E3%83%86%E3%83%88%E3%83%A9%E3%82%B3%E3%83%BC%E3%83%89">日本語</a><br />
			</span><br />
			Let a &quot;17edo primary <a class="wiki_link" href="/tetrachord">tetrachord</a>&quot; mean a set of four pitches in <a class="wiki_link" href="/17edo">17edo</a> that span a <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> (seven degrees) and include one of each of the following:<br />
	<br />		<br />
	<ol><li>the unison - 0 (degrees of 17edo) - solfege name 'do'.</li><li>a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).</li><li>a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).</li><li>the perfect fourth - 7 (fa).</li></ol><br />		<ol><li>the unison - 0 (degrees of 17edo) - solfege name 'do'.</li><li>a second - includes 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).</li><li>a third - includes 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).</li><li>the perfect fourth - 7 (fa).</li></ol><br />

Wikispaces>hstraub: Imported revision 522926172 - Original comment:

2014-09-19T04:39:57Z

**Imported revision 522926172 - Original comment: **

← Older revision		Revision as of 04:39, 19 September 2014
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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:hstraub\|hstraub]] and made on <tt>2014-09-19 04:38:21 UTC</tt>.<br>		: This revision was by author [[User:hstraub\|hstraub]] and made on <tt>2014-09-19 04:39:57 UTC</tt>.<br>
	: The original revision id was <tt>~~522926090~~</tt>.<br>		: The original revision id was <tt>522926172</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 14:		Line 14:

	===correspondance:===		===correspondance:===
	\|\| degrees \|\| cents \|\| name \|\| solfege \|\|		\|\|~ degrees \|\|~ cents \|\|~ name \|\|~ solfege \|\|
	\|\| 0 \|\| 0 \|\| unison \|\| do \|\|		\|\| 0 \|\| 0 \|\| unison \|\| do \|\|
	\|\| 1 \|\| 71 \|\| minor second (a.k.a third-tone) \|\| ra \|\|		\|\| 1 \|\| 71 \|\| minor second (a.k.a third-tone) \|\| ra \|\|
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	We have 9 primary tetrachords in 17edo.		We have 9 primary tetrachords in 17edo.

	\|\| tetrachord notation \|\| solfege \|\| name (suggestions?) \|\| used in \|\|		\|\|~ tetrachord notation \|\|~ solfege \|\|~ name (suggestions?) \|\|~ used in \|\|
	\|\| 1-3-3 \|\| do ra me fa \|\| phrygian \|\| diatonic (phrygian) \|\|		\|\| 1-3-3 \|\| do ra me fa \|\| phrygian \|\| diatonic (phrygian) \|\|
	\|\| 1-4-2 \|\| do ra mu fa \|\| \|\| \|\|		\|\| 1-4-2 \|\| do ra mu fa \|\| \|\| \|\|
Line 52:		Line 52:

	Another way of showing them:		Another way of showing them:
	\|\| \|\| ra \|\| ru \|\| re \|\|		\|\|~ \|\|~ ra \|\|~ ru \|\|~ re \|\|
	\|\| me \|\| 1-3-3 \|\| 2-2-3 \|\| 3-1-3 \|\|		\|\| me \|\| 1-3-3 \|\| 2-2-3 \|\| 3-1-3 \|\|
	\|\| mu \|\| 1-4-2 \|\| 2-3-2 \|\| 3-2-2 \|\|		\|\| mu \|\| 1-4-2 \|\| 2-3-2 \|\| 3-2-2 \|\|
Line 67:		Line 67:
	Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:		Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:

	\|\| tetrachord notation \|\| solfege \|\| name (suggestions?) \|\| used in \|\|		\|\|~ tetrachord notation \|\|~ solfege \|\|~ name (suggestions?) \|\|~ used in \|\|
	\|\| 1-1-5 \|\| do ra ru fa \|\| \|\| \|\|		\|\| 1-1-5 \|\| do ra ru fa \|\| \|\| \|\|
	\|\| 1-2-4 \|\| do ra re fa \|\| \|\| \|\|		\|\| 1-2-4 \|\| do ra re fa \|\| \|\| \|\|
Line 85:		Line 85:
	<table class="wiki_table">		<table class="wiki_table">
	<tr>		<tr>
	<td>degrees<br />		<th>degrees<br />
	</td>		</th>
	<td>cents<br />		<th>cents<br />
	</td>		</th>
	<td>name<br />		<th>name<br />
	</td>		</th>
	<td>solfege<br />		<th>solfege<br />
	</td>		</th>
	</tr>		</tr>
	<tr>		<tr>
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	<table class="wiki_table">		<table class="wiki_table">
	<tr>		<tr>
	<td>tetrachord notation<br />		<th>tetrachord notation<br />
	</td>		</th>
	<td>solfege<br />		<th>solfege<br />
	</td>		</th>
	<td>name (suggestions?)<br />		<th>name (suggestions?)<br />
	</td>		</th>
	<td>used in<br />		<th>used in<br />
	</td>		</th>
	</tr>		</tr>
	<tr>		<tr>
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	<table class="wiki_table">		<table class="wiki_table">
	<tr>		<tr>
	<td><br />		<th><br />
	</td>		</th>
	<td>ra<br />		<th>ra<br />
	</td>		</th>
	<td>ru<br />		<th>ru<br />
	</td>		</th>
	<td>re<br />		<th>re<br />
	</td>		</th>
	</tr>		</tr>
	<tr>		<tr>
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	<table class="wiki_table">		<table class="wiki_table">
	<tr>		<tr>
	<td>tetrachord notation<br />		<th>tetrachord notation<br />
	</td>		</th>
	<td>solfege<br />		<th>solfege<br />
	</td>		</th>
	<td>name (suggestions?)<br />		<th>name (suggestions?)<br />
	</td>		</th>
	<td>used in<br />		<th>used in<br />
	</td>		</th>
	</tr>		</tr>
	<tr>		<tr>

← Older revision		Revision as of 22:01, 14 June 2021
Line 91:		Line 91:
	\| \| 1-3-3		\| \| 1-3-3
	\| \| do ra me fa		\| \| do ra me fa
	\| \| phrygian		\| \| phrygian (jins Kurd)
	\| \| diatonic (phrygian)		\| \| diatonic (phrygian)
	\|-		\|-
Line 101:		Line 101:
	\| \| 1-5-1		\| \| 1-5-1
	\| \| do ra mi fa		\| \| do ra mi fa
	\| \| balkan, Hijaz ~~(arabic)~~		\| \| balkan, jins Hijaz
	\| \|		\| \|
	\|-		\|-
	\| \| 2-2-3		\| \| 2-2-3
	\| \| do ru me fa		\| \| do ru me fa
	\| \| Bayyati ~~(arabic)~~		\| \| jins Bayyati
	\| \| [[17edo neutral scale]] (led)		\| \| [[17edo neutral scale]] (led)
	\|-		\|-
	\| \| 2-3-2		\| \| 2-3-2
	\| \| do ru mu fa		\| \| do ru mu fa
	\| \| ~~Iraq (arabic)~~		\| \| "ʻIraq" tetrachord
	\| \| [[17edo neutral scale]] (bish, fish, jwl)		\| \| [[17edo neutral scale]] (bish, fish, jwl)
	\|-		\|-
Line 121:		Line 121:
	\| \| 3-1-3		\| \| 3-1-3
	\| \| do re me fa		\| \| do re me fa
	\| \| aeolian		\| \| aeolian (jins Nahawand)
	\| \| diatonic (aolian, dorian) ; [[scorp]] (mode 3)		\| \| diatonic (aolian, dorian) ; [[scorp]] (mode 3)
	\|-		\|-
	\| \| 3-2-2		\| \| 3-2-2
	\| \| do re mu fa		\| \| do re mu fa
	\| \| Rast ~~(arabic)~~		\| \| jins Rast
	\| \| [[17edo neutral scale]] (dril, gil, kleeth)		\| \| [[17edo neutral scale]] (dril, gil, kleeth)
	\|-		\|-
	\| \| 3-3-1		\| \| 3-3-1
	\| \| do re mi fa		\| \| do re mi fa
	\| \| ionian		\| \| ionian (jins ʻAjam)
	\| \| diatonic (ionian, mixolydian)		\| \| diatonic (ionian, mixolydian)
	\|}		\|}

			Notes on the above:
			* Many references say that the semitones in Hijaz should be greater than 100 cents, but in 17edo they are significantly smaller (about 70 cents).
			* The "ʻIraq" tetrachord is similar to the first four notes of Maqam ʻIraq, but those are not usually considered a jins because the fourth note is not a place of rest (in particular it is not the ''ghammaz''). This tetrachord is jins Sikah with an extra note on top making a perfect fourth with the tonic.

	Another way of showing them:		Another way of showing them: