306edo
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 2011-08-05 14:34:57 UTC.
- The original revision id was 244520207.
- 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 //306 equal division// divides the octave into 306 equal parts of 3.922 cents each, and thereby provides a very accurate fifth, only 0.006 cents sharp. In the 5-limit, the [[patent val]] tempers out 78732/78125, whereas the alternative 306c val tempers out 32805/32768. In the 7-limit the patent val tempers out 6144/6125, whereas 306c tempers out 16875/16807. 306 is the denominator of 179/306, the continued fraction convergent after 31/53 and before 389/665 in the sequence of continued fraction approximations to the log base 2 of 3/2. On the 2*306 subgroup 2.3.25.7.55 it takes the same values as [[612edo]].
Original HTML content:
<html><head><title>306edo</title></head><body>The <em>306 equal division</em> divides the octave into 306 equal parts of 3.922 cents each, and thereby provides a very accurate fifth, only 0.006 cents sharp. In the 5-limit, the <a class="wiki_link" href="/patent%20val">patent val</a> tempers out 78732/78125, whereas the alternative 306c val tempers out 32805/32768. In the 7-limit the patent val tempers out 6144/6125, whereas 306c tempers out 16875/16807. 306 is the denominator of 179/306, the continued fraction convergent after 31/53 and before 389/665 in the sequence of continued fraction approximations to the log base 2 of 3/2. On the 2*306 subgroup 2.3.25.7.55 it takes the same values as <a class="wiki_link" href="/612edo">612edo</a>.</body></html>