Parizek-miller hexagon - Revision history

Hkm at 18:21, 24 June 2025

2025-06-24T18:21:19Z

← Older revision		Revision as of 18:21, 24 June 2025
Line 1:		Line 1:
			{{stub}}
	The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant (temperament)\|dominant]]-[[diminished (temperament)\|diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix\|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.		The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant (temperament)\|dominant]]-[[diminished (temperament)\|diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix\|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

Bcmills at 18:57, 23 August 2024

2024-08-23T18:57:13Z

← Older revision		Revision as of 18:57, 23 August 2024
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	The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant]]-[[diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix\|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.		The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant (temperament)\|dominant]]-[[diminished (temperament)\|diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix\|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

	{\| class="wikitable"		{\| class="wikitable"

BudjarnLambeth: Added links to dead end pg

2024-01-09T06:23:05Z

Added links to dead end pg

← Older revision		Revision as of 06:23, 9 January 2024
Line 1:		Line 1:
	The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--~~modes~~ of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.		The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant]]-[[diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix\|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

	{\| class="wikitable"		{\| class="wikitable"

BudjarnLambeth: Categorised this uncategorised page

2023-05-01T12:49:36Z

Categorised this uncategorised page

← Older revision		Revision as of 12:49, 1 May 2023
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	\| \| 2		\| \| 2
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			[[Category:12-tone scales]]
			[[Category:Just intonation scales]]
			[[Category:7-limit]]
			[[Category:Pages with Scala files]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>genewardsmith: Imported revision 492781324 - Original comment:

2014-02-28T16:58:28Z

**Imported revision 492781324 - Original comment: **

Wikispaces>genewardsmith: Imported revision 492781242 - Original comment:

2014-02-28T16:58:01Z

**Imported revision 492781242 - 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>2014-02-28 16:58:01 UTC</tt>. 
: The original revision id was <tt>492781242</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">The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and somdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

|| 1 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 7/5 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 2 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 3 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 4 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
|| 5 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
|| 6 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 25/14 || 15/8 || 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>parizek-miller hexagon</title></head><body>The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and somdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes. 
 

<table class="wiki_table">
<tr>
<td>1 
</td>
<td>21/20 
</td>
<td>9/8 
</td>
<td>7/6 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>7/5 
</td>
<td>3/2 
</td>
<td>63/40 
</td>
<td>5/3 
</td>
<td>7/4 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
<tr>
<td>2 
</td>
<td>21/20 
</td>
<td>9/8 
</td>
<td>7/6 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>10/7 
</td>
<td>3/2 
</td>
<td>63/40 
</td>
<td>5/3 
</td>
<td>7/4 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
<tr>
<td>3 
</td>
<td>15/14 
</td>
<td>9/8 
</td>
<td>7/6 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>10/7 
</td>
<td>3/2 
</td>
<td>63/40 
</td>
<td>5/3 
</td>
<td>7/4 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
<tr>
<td>4 
</td>
<td>15/14 
</td>
<td>9/8 
</td>
<td>7/6 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>10/7 
</td>
<td>3/2 
</td>
<td>45/28 
</td>
<td>5/3 
</td>
<td>7/4 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
<tr>
<td>5 
</td>
<td>15/14 
</td>
<td>9/8 
</td>
<td>25/21 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>10/7 
</td>
<td>3/2 
</td>
<td>45/28 
</td>
<td>5/3 
</td>
<td>7/4 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
<tr>
<td>6 
</td>
<td>15/14 
</td>
<td>9/8 
</td>
<td>25/21 
</td>
<td>5/4 
</td>
<td>21/16 
</td>
<td>10/7 
</td>
<td>3/2 
</td>
<td>45/28 
</td>
<td>5/3 
</td>
<td>25/14 
</td>
<td>15/8 
</td>
<td>2 
</td>
</tr>
</table>

</body></html></pre></div>

← Older revision		Revision as of 16:58, 28 February 2014
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>2014-02-28 16:58:01 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-02-28 16:58:28 UTC</tt>.<br>
	: The original revision id was <tt>~~492781242~~</tt>.<br>		: The original revision id was <tt>492781324</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">The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and ~~somdimpajinjschis~~, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.		<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">The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

	\|\| 1 \|\| 21/20 \|\| 9/8 \|\| 7/6 \|\| 5/4 \|\| 21/16 \|\| 7/5 \|\| 3/2 \|\| 63/40 \|\| 5/3 \|\| 7/4 \|\| 15/8 \|\| 2 \|\|		\|\| 1 \|\| 21/20 \|\| 9/8 \|\| 7/6 \|\| 5/4 \|\| 21/16 \|\| 7/5 \|\| 3/2 \|\| 63/40 \|\| 5/3 \|\| 7/4 \|\| 15/8 \|\| 2 \|\|
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	</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>parizek-miller hexagon</title></head><body>The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and ~~somdimpajinjschis~~, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.<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>parizek-miller hexagon</title></head><body>The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.<br />
	<br />		<br />