200edo: Difference between revisions

Line 1:

<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~~-09-~~02 11~~:13:23 UTC</tt>.<br>

: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-04-30 03:15:28 UTC</tt>.<br>

: The original revision id was <tt>~~250311266~~</tt>.<br>

: The original revision id was <tt>327189246</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">=<span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;">**200** tone equal temperament</span>=

<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="color: #007261; font-family: "Times New Roman",Times,serif; font-size: 113%;">**200** tone equal temperament</span>=

==<span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 [[EDO]] divides the octave into 200 parts of exactly **6 cents** each, and contains a [[perfect fifth]] of exactly **702 cents** and a [[perfect fourth]] ~~and~~ of exactly **498** cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic family#Guiron|guiron temperament]].</span>==

==<span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 [[EDO]] divides the octave into 200 parts of exactly **6 cents** each, and contains a [[perfect fifth]] of exactly **702 cents** and a [[perfect fourth]] of exactly **498** cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic family#Guiron|guiron temperament]].</span>==

**200 tone equal modes:**

__**200 tone equal modes:**__

~~34 34 15 34 34 34 15 = MOS 5L2s (Pytagorean tuning)~~

~~32 32 20 32 32 32 20 = Meantone tuning (like a [[50edo]])~~

~~27 27 27 27 27 27 27 11 = MOS 7L1s (Porcupine-8 tuning (aka Octamonatonic Scale))~~

~~26 26 26 9 26 26 26 26 9 = MOS 7L2s (The most important Armodue-Hornbostel (aka Nonnadiatonic Scale), (Bright mode))~~

~~24 24 24 16 24 24 24 24 16 = Armodue-Mesotonic tuning (like a [[25edo]]), (Mellow mode)~~

~~22 22 8 22 22 22 8 22 22 22 8 = Sensi-11 (or Undecimal Triatonic)~~

~~16 16 16 8 16 16 16 16 8 16 16 16 16 8 = Tetradecimal Triatonic Scale (Witnots)~~

The prime factorization

34 34 15 34 34 34 15 = [[5L 2s|Pytagorean tuning]]

200 = [[2edo|2]]<span style="vertical-align: super;">3</span> * [[5edo|5]]<span style="vertical-align: super;">2</span>

32 32 20 32 32 32 20 = Meantone tuning (the same of [[50edo]])

27 27 27 27 27 27 27 11 = [[7L 1s|Porcupine Tuning]]

26 26 26 9 26 26 26 26 9 = Hornbostel 1/26-tone (26;9 superdiatonic relation)

24 24 24 16 24 24 24 24 16 = [[7L 2s|Armodue-Mávila]] tuning (the same of [[25edo]])

22 22 8 22 22 22 8 22 22 22 8 = [[8L 3s|Sensi]]

16 16 16 8 16 16 16 16 8 16 16 16 16 8 = [[11L 3s|Ketradektriatoh Tuning]]

The prime factorization

200 = [[2edo|2]]<span style="vertical-align: super;">3</span> * [[5edo|5]]<span style="vertical-align: super;">2</span>

leads to these further divisors

[[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]</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>200edo</title></head><body><h1 id="toc0"><a name="x200 tone equal temperament"></a><span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;"><strong>200</strong> tone equal temperament</span></h1>

<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>200edo</title></head><body><h1 id="toc0"><a name="x200 tone equal temperament"></a><span style="color: #007261; font-family: "Times New Roman",Times,serif; font-size: 113%;"><strong>200</strong> tone equal temperament</span></h1>

<br />

<h2 id="toc1"><a name="x200 tone equal temperament-200 guiron temperament."></a><span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 <a class="wiki_link" href="/EDO">EDO</a> divides the octave into 200 parts of exactly <strong>6 cents</strong> each, and contains a <a class="wiki_link" href="/perfect%20fifth">perfect fifth</a> of exactly <strong>702 cents</strong> and a <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> ~~and~~ of exactly <strong>498</strong> cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Guiron">guiron temperament</a>.</span></h2>

<h2 id="toc1"><a name="x200 tone equal temperament-200 guiron temperament."></a><span style="font-size: 13px; font-weight: normal; line-height: 19px;">200 <a class="wiki_link" href="/EDO">EDO</a> divides the octave into 200 parts of exactly <strong>6 cents</strong> each, and contains a <a class="wiki_link" href="/perfect%20fifth">perfect fifth</a> of exactly <strong>702 cents</strong> and a <a class="wiki_link" href="/perfect%20fourth">perfect fourth</a> of exactly <strong>498</strong> cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Guiron">guiron temperament</a>.</span></h2>

<br />

<strong>200 tone equal modes:</strong><br />

<u><strong>200 tone equal modes:</strong></u><br />

34 34 15 34 34 34 15 = ~~MOS 5L2s (~~Pytagorean tuning)<br />

<br />

32 32 20 32 32 32 20 = Meantone tuning (~~like a~~ <a class="wiki_link" href="/50edo">50edo</a>)<br />

34 34 15 34 34 34 15 = <a class="wiki_link" href="/5L%202s">Pytagorean tuning</a><br />

27 27 27 27 27 27 27 11 = ~~MOS 7L1s (~~Porcupine~~-8 tuning (aka Octamonatonic Scale))~~<br />

32 32 20 32 32 32 20 = Meantone tuning (the same of <a class="wiki_link" href="/50edo">50edo</a>)<br />

26 26 26 9 26 26 26 26 9 = ~~MOS 7L2s (The most important Armodue~~-~~Hornbostel~~ (~~aka Nonnadiatonic Scale), (Bright mode)~~)<br />

27 27 27 27 27 27 27 11 = <a class="wiki_link" href="/7L%201s">Porcupine Tuning</a><br />

24 24 24 16 24 24 24 24 16 = Armodue-~~Mesotonic~~ tuning (~~like a~~ <a class="wiki_link" href="/25edo">25edo</a>~~), (Mellow mode~~)<br />

26 26 26 9 26 26 26 26 9 = Hornbostel 1/26-tone (26;9 superdiatonic relation)<br />

22 22 8 22 22 22 8 22 22 22 8 = Sensi~~-11 (or Undecimal Triatonic)~~<br />

24 24 24 16 24 24 24 24 16 = <a class="wiki_link" href="/7L%202s">Armodue-Mávila</a> tuning (the same of <a class="wiki_link" href="/25edo">25edo</a>)<br />

16 16 16 8 16 16 16 16 8 16 16 16 16 8 = ~~Tetradecimal Triatonic Scale (Witnots)~~<br />

22 22 8 22 22 22 8 22 22 22 8 = <a class="wiki_link" href="/8L%203s">Sensi</a><br />

16 16 16 8 16 16 16 16 8 16 16 16 16 8 = <a class="wiki_link" href="/11L%203s">Ketradektriatoh Tuning</a><br />

<br />

The prime factorization <br />

The prime factorization<br />

200 = <a class="wiki_link" href="/2edo">2</a><span style="vertical-align: super;">3</span> * <a class="wiki_link" href="/5edo">5</a><span style="vertical-align: super;">2</span><br />

leads to these further divisors<br />

@@ Line 1: / Line 1: @@
 <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>2011-09-02 11:13:23 UTC</tt>.<br>
+: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-04-30 03:15:28 UTC</tt>.<br>
-: The original revision id was <tt>250311266</tt>.<br>
+: The original revision id was <tt>327189246</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">=&lt;span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;**200** tone equal temperament&lt;/span&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;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #007261; font-family: "Times New Roman",Times,serif; font-size: 113%;"&gt;**200** tone equal temperament&lt;/span&gt;=
-==&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;200 [[EDO]] divides the octave into 200 parts of exactly **6 cents** each, and contains a [[perfect fifth]] of exactly **702 cents** and a [[perfect fourth]] and of exactly **498** cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic family#Guiron|guiron temperament]].&lt;/span&gt;==
+==&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;200 [[EDO]] divides the octave into 200 parts of exactly **6 cents** each, and contains a [[perfect fifth]] of exactly **702 cents** and a [[perfect fourth]] of exactly **498** cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic family#Guiron|guiron temperament]].&lt;/span&gt;==
-**200 tone equal modes:**
+__**200 tone equal modes:**__
-34 15 34 34 34 15 = MOS 5L2s (Pytagorean tuning)
-32 20 32 32 32 20 = Meantone tuning (like a [[50edo]])
-27 27 27 27 27 27 11 = MOS 7L1s (Porcupine-8 tuning (aka Octamonatonic Scale))
-26 26 9 26 26 26 26 9 = MOS 7L2s (The most important Armodue-Hornbostel (aka Nonnadiatonic Scale), (Bright mode))
-24 24 16 24 24 24 24 16 = Armodue-Mesotonic tuning (like a [[25edo]]), (Mellow mode)
-22 8 22 22 22 8 22 22 22 8 = Sensi-11 (or Undecimal Triatonic)
-16 16 8 16 16 16 16 8 16 16 16 16 8 = Tetradecimal Triatonic Scale (Witnots)
-The prime factorization
+34 15 34 34 34 15 = [[5L 2s|Pytagorean tuning]]
-= [[2edo|2]]&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; * [[5edo|5]]&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;
+32 20 32 32 32 20 = Meantone tuning (the same of [[50edo]])
+27 27 27 27 27 27 11 = [[7L 1s|Porcupine Tuning]]
+26 26 9 26 26 26 26 9 = Hornbostel 1/26-tone (26;9 superdiatonic relation)
+24 24 16 24 24 24 24 16 = [[7L 2s|Armodue-Mávila]] tuning (the same of [[25edo]])
+22 8 22 22 22 8 22 22 22 8 = [[8L 3s|Sensi]]
+16 16 8 16 16 16 16 8 16 16 16 16 8 = [[11L 3s|Ketradektriatoh Tuning]]
+The prime factorization
+= [[2edo|2]]&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; * [[5edo|5]]&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;
 leads to these further divisors
- [[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]</pre></div>
+[[4edo|4]], [[8edo|8]], [[10edo|10]], [[20edo|20]], [[25edo|25]], [[40edo|40]], [[50edo|50]], [[100edo|100]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;200edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x200 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;&lt;strong&gt;200&lt;/strong&gt; tone equal temperament&lt;/span&gt;&lt;/h1&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;200edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x200 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #007261; font-family: "Times New Roman",Times,serif; font-size: 113%;"&gt;&lt;strong&gt;200&lt;/strong&gt; tone equal temperament&lt;/span&gt;&lt;/h1&gt;
   &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x200 tone equal temperament-200 guiron temperament."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;200 &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; divides the octave into 200 parts of exactly &lt;strong&gt;6 cents&lt;/strong&gt; each, and contains a &lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt; of exactly &lt;strong&gt;702 cents&lt;/strong&gt; and a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; and of exactly &lt;strong&gt;498&lt;/strong&gt; cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports &lt;a class="wiki_link" href="/Schismatic%20family#Guiron"&gt;guiron temperament&lt;/a&gt;.&lt;/span&gt;&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x200 tone equal temperament-200 guiron temperament."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;span style="font-size: 13px; font-weight: normal; line-height: 19px;"&gt;200 &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt; divides the octave into 200 parts of exactly &lt;strong&gt;6 cents&lt;/strong&gt; each, and contains a &lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt; of exactly &lt;strong&gt;702 cents&lt;/strong&gt; and a &lt;a class="wiki_link" href="/perfect%20fourth"&gt;perfect fourth&lt;/a&gt; of exactly &lt;strong&gt;498&lt;/strong&gt; cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports &lt;a class="wiki_link" href="/Schismatic%20family#Guiron"&gt;guiron temperament&lt;/a&gt;.&lt;/span&gt;&lt;/h2&gt;
   &lt;br /&gt;
-&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;br /&gt;
+&lt;u&gt;&lt;strong&gt;200 tone equal modes:&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
-34 15 34 34 34 15 = MOS 5L2s (Pytagorean tuning)&lt;br /&gt;
+&lt;br /&gt;
-32 20 32 32 32 20 = Meantone tuning (like a &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;)&lt;br /&gt;
+34 15 34 34 34 15 = &lt;a class="wiki_link" href="/5L%202s"&gt;Pytagorean tuning&lt;/a&gt;&lt;br /&gt;
-27 27 27 27 27 27 11 = MOS 7L1s (Porcupine-8 tuning (aka Octamonatonic Scale))&lt;br /&gt;
+32 20 32 32 32 20 = Meantone tuning (the same of &lt;a class="wiki_link" href="/50edo"&gt;50edo&lt;/a&gt;)&lt;br /&gt;
-26 26 9 26 26 26 26 9 = MOS 7L2s (The most important Armodue-Hornbostel (aka Nonnadiatonic Scale), (Bright mode))&lt;br /&gt;
+27 27 27 27 27 27 11 = &lt;a class="wiki_link" href="/7L%201s"&gt;Porcupine Tuning&lt;/a&gt;&lt;br /&gt;
-24 24 16 24 24 24 24 16 = Armodue-Mesotonic tuning (like a &lt;a class="wiki_link" href="/25edo"&gt;25edo&lt;/a&gt;), (Mellow mode)&lt;br /&gt;
+26 26 9 26 26 26 26 9 = Hornbostel 1/26-tone (26;9 superdiatonic relation)&lt;br /&gt;
-22 8 22 22 22 8 22 22 22 8 = Sensi-11 (or Undecimal Triatonic)&lt;br /&gt;
+24 24 16 24 24 24 24 16 = &lt;a class="wiki_link" href="/7L%202s"&gt;Armodue-Mávila&lt;/a&gt; tuning (the same of &lt;a class="wiki_link" href="/25edo"&gt;25edo&lt;/a&gt;)&lt;br /&gt;
-16 16 8 16 16 16 16 8 16 16 16 16 8 = Tetradecimal Triatonic Scale (Witnots)&lt;br /&gt;
+22 8 22 22 22 8 22 22 22 8 = &lt;a class="wiki_link" href="/8L%203s"&gt;Sensi&lt;/a&gt;&lt;br /&gt;
+16 16 8 16 16 16 16 8 16 16 16 16 8 = &lt;a class="wiki_link" href="/11L%203s"&gt;Ketradektriatoh Tuning&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-The prime factorization &lt;br /&gt;
+The prime factorization&lt;br /&gt;
 = &lt;a class="wiki_link" href="/2edo"&gt;2&lt;/a&gt;&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt; * &lt;a class="wiki_link" href="/5edo"&gt;5&lt;/a&gt;&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
 leads to these further divisors&lt;br /&gt;
- &lt;a class="wiki_link" href="/4edo"&gt;4&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/20edo"&gt;20&lt;/a&gt;, &lt;a class="wiki_link" href="/25edo"&gt;25&lt;/a&gt;, &lt;a class="wiki_link" href="/40edo"&gt;40&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/100edo"&gt;100&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/4edo"&gt;4&lt;/a&gt;, &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/20edo"&gt;20&lt;/a&gt;, &lt;a class="wiki_link" href="/25edo"&gt;25&lt;/a&gt;, &lt;a class="wiki_link" href="/40edo"&gt;40&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/100edo"&gt;100&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>