1848edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2015-08-17 12:03:50 UTC.
- The original revision id was 556811273.
- 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:
The 1848 equal division divides the octave into 1848 equal parts of 0.64935 cents each. It is a super strong 11-limit division, having the lowest 11-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any division until [[6079edo|6079]]. It tempers out the 11-limit commas 9801/9800, 151263/151250, 1771561/1771470 and 3294225/3294172. It also tempers out the 7-limit landscape comma, 250047/250000. It is distinctly consistent through the 15-limit, and tempers out the 13-limit commas 4225/4224 and 6656/6655. In the 5-limit it is an atomic system, tempering out the atom, |161 -84 -12>; and also the minortone comma, |-16 35 -17>.
1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are [[12edo|12]], [[14edo|14]], [[22edo|22]], [[24edo|24]], [[28edo|28]], [[56edo|56]], [[77edo|77]], [[84edo|84]], [[88edo|88]], [[154edo|154]], and [[231edo|231]].
Original HTML content:
<html><head><title>1848edo</title></head><body>The 1848 equal division divides the octave into 1848 equal parts of 0.64935 cents each. It is a super strong 11-limit division, having the lowest 11-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any division until <a class="wiki_link" href="/6079edo">6079</a>. It tempers out the 11-limit commas 9801/9800, 151263/151250, 1771561/1771470 and 3294225/3294172. It also tempers out the 7-limit landscape comma, 250047/250000. It is distinctly consistent through the 15-limit, and tempers out the 13-limit commas 4225/4224 and 6656/6655. In the 5-limit it is an atomic system, tempering out the atom, |161 -84 -12>; and also the minortone comma, |-16 35 -17>.<br /> <br /> 1848 is highly composite, factoring as 2^3 * 3 * 7 * 11. Among its divisors are <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/24edo">24</a>, <a class="wiki_link" href="/28edo">28</a>, <a class="wiki_link" href="/56edo">56</a>, <a class="wiki_link" href="/77edo">77</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/88edo">88</a>, <a class="wiki_link" href="/154edo">154</a>, and <a class="wiki_link" href="/231edo">231</a>.</body></html>