Chords of meanpop: Difference between revisions

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<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>2011-12-30 11:12:37 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-30 11:13:19 UTC</tt>.<br>

: The original revision id was <tt>~~288830279~~</tt>.<br>

: The original revision id was <tt>288830329</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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Meantone+family#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.

<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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Meantone family#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.

Chords requiring tempering only by 81/80 are labeled didymic, by 126/125 starling, by 225/224 marvel, by 385/384 keenanismic and by 540/539 swetismic. Chords which require any two of 81/80, 126/125 or 225/224 are labeled erato, and any two of 225/224, 385/384 or 540/539 unimarv. A chord requiring both of 81/80 and 540/539 is labeled terpsichore, and a chord requiring any three independent commas from those discussed above is labeled meanpop.

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=Triads=

|| Number || Chord || Transversal || Type ||

|| 1 || 0-1-2 || 1-3/2-9/8 || ambitonal ||

|| 2 || 0-1-3 || 1-3/2-5/3 || otonal ||

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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>Chords of meanpop</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit [[Meantone~~+family~~#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.<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>Chords of meanpop</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Meantone%20family#Septimal meantone-Meanpop">meanpop temperament</a>. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.<br />

<br />

Chords requiring tempering only by 81/80 are labeled didymic, by 126/125 starling, by 225/224 marvel, by 385/384 keenanismic and by 540/539 swetismic. Chords which require any two of 81/80, 126/125 or 225/224 are labeled erato, and any two of 225/224, 385/384 or 540/539 unimarv. A chord requiring both of 81/80 and 540/539 is labeled terpsichore, and a chord requiring any three independent commas from those discussed above is labeled meanpop.<br />

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 <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>2011-12-30 11:12:37 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-30 11:13:19 UTC</tt>.<br>
-: The original revision id was <tt>288830279</tt>.<br>
+: The original revision id was <tt>288830329</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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Meantone+family#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
+<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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Meantone family#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
 Chords requiring tempering only by 81/80 are labeled didymic, by 126/125 starling, by 225/224 marvel, by 385/384 keenanismic and by 540/539 swetismic. Chords which require any two of 81/80, 126/125 or 225/224 are labeled erato, and any two of 225/224, 385/384 or 540/539 unimarv. A chord requiring both of 81/80  and 540/539 is labeled terpsichore, and a chord requiring any three independent commas from those discussed above is labeled meanpop.
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 =Triads=
 || Number || Chord || Transversal || Type ||
 || 1 || 0-1-2 || 1-3/2-9/8 || ambitonal ||
 || 2 || 0-1-3 || 1-3/2-5/3 || otonal ||
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of meanpop&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit [[Meantone+family#Septimal meantone-Meanpop|meanpop temperament]]. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.&lt;br /&gt;
+<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chords of meanpop&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Meantone%20family#Septimal meantone-Meanpop"&gt;meanpop temperament&lt;/a&gt;. Meanpop is one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 126/125 and 385/384. Typing the chords requires consideration of the fact that meanpop conflates 9/8 and 10/9; if a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.&lt;br /&gt;
 &lt;br /&gt;
 Chords requiring tempering only by 81/80 are labeled didymic, by 126/125 starling, by 225/224 marvel, by 385/384 keenanismic and by 540/539 swetismic. Chords which require any two of 81/80, 126/125 or 225/224 are labeled erato, and any two of 225/224, 385/384 or 540/539 unimarv. A chord requiring both of 81/80  and 540/539 is labeled terpsichore, and a chord requiring any three independent commas from those discussed above is labeled meanpop.&lt;br /&gt;
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