200edo: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>JosephRuhf **Imported revision 601651352 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 601651432 - Original comment: ** |
||
| 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 15: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-07 15:43:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>601651432</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 12: | Line 12: | ||
__**200 tone equal modes:**__ | __**200 tone equal modes:**__ | ||
34 34 15 34 34 34 15/1 = [[5L 2s|Pythagorean tuning]] | [[tel:34 34 15 34 34 34 15|34 34 15 34 34 34 15]]/1 = [[5L 2s|Pythagorean tuning]] | ||
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = [[7L 1s|Porcupine tuning]] | 16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = [[7L 1s|Porcupine tuning]] | ||
26 26 26 9 26 26 26/1 26 9 = [[7L 2s|Superdiatonic tuning]] | [[tel:26 26 26 9 26 26 26|26 26 26 9 26 26 26]]/1 26 9 = [[7L 2s|Superdiatonic tuning]] | ||
The prime factorization | The prime factorization | ||
| Line 30: | Line 30: | ||
<u><strong>200 tone equal modes:</strong></u><br /> | <u><strong>200 tone equal modes:</strong></u><br /> | ||
<br /> | <br /> | ||
34 34 15 34 34 34 15/1 = <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> | <a class="wiki_link" href="http://tel.wikispaces.com/34%2034%2015%2034%2034%2034%2015">34 34 15 34 34 34 15</a>/1 = <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> | ||
16 11 16 11 16 11 16 11 16 11 16 11 16 11 11 = <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br /> | 16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br /> | ||
26 26 26 9 26 26 26/1 26 9 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a><br /> | <a class="wiki_link" href="http://tel.wikispaces.com/26%2026%2026%209%2026%2026%2026">26 26 26 9 26 26 26</a>/1 26 9 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a><br /> | ||
<br /> | <br /> | ||
The prime factorization<br /> | The prime factorization<br /> | ||
Revision as of 15:43, 7 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-07 15:43:21 UTC.
- The original revision id was 601651432.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=<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]] 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:**__ [[tel:34 34 15 34 34 34 15|34 34 15 34 34 34 15]]/1 = [[5L 2s|Pythagorean tuning]] 16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = [[7L 1s|Porcupine tuning]] [[tel:26 26 26 9 26 26 26|26 26 26 9 26 26 26]]/1 26 9 = [[7L 2s|Superdiatonic 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]] =Music= [[http://soonlabel.com/xenharmonic/archives/1324|Fugue on Elgar’s Enigma Theme]] [[http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3|play]] by Claudi Meneghin
Original HTML content:
<html><head><title>200edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x200 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007261; font-family: 'Times New Roman',Times,serif; font-size: 113%;">200 tone equal temperament</span></h1> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x200 tone equal temperament-200 guiron temperament."></a><!-- ws:end:WikiTextHeadingRule:2 --><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 /> <u><strong>200 tone equal modes:</strong></u><br /> <br /> <a class="wiki_link" href="http://tel.wikispaces.com/34%2034%2015%2034%2034%2034%2015">34 34 15 34 34 34 15</a>/1 = <a class="wiki_link" href="/5L%202s">Pythagorean tuning</a><br /> 16 11 16 11 16 11 16/1 11 16 11 16 11 16 11/1 11 = <a class="wiki_link" href="/7L%201s">Porcupine tuning</a><br /> <a class="wiki_link" href="http://tel.wikispaces.com/26%2026%2026%209%2026%2026%2026">26 26 26 9 26 26 26</a>/1 26 9 = <a class="wiki_link" href="/7L%202s">Superdiatonic tuning</a><br /> <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 /> <a class="wiki_link" href="/4edo">4</a>, <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/20edo">20</a>, <a class="wiki_link" href="/25edo">25</a>, <a class="wiki_link" href="/40edo">40</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/100edo">100</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1> <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1324" rel="nofollow">Fugue on Elgar’s Enigma Theme</a> <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3" rel="nofollow">play</a> by Claudi Meneghin</body></html>