39edt
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 2011-09-04 14:05:29 UTC.
- The original revision id was 250636156.
- 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 39 equal division of 3, the tritave, divides it into 39 equal parts of 48.678 cents each, corresponding to 24.606 edo. It is a strong no-twos 13-limit system, a fact first noted by [[Paul Erlich]], and like [[26edt]] and [[52edt]] it is a multiple of [[13edt]] and so contains the [[Bohlen-Pierce]] scale. It is contorted in the 7-limit, tempering out the same BP commas 245/243 and 3125/3087 as 13edt. In the 11-limit it tempers out 1331/1323 and in the 13-limit 275/273, 847/845 and 1575/1573. It is related to the 49f&172f temperament tempering out 245/243, 275/273, 847/845 and 1575/1573, which has map [<1 0 0 0 0 0|, <0 39 57 69 85 91|]. This has a POTE generator which is an approximate 77/75 of 48.822 cents. 39edt is the ninth [[The Riemann Zeta Function and Tuning#Removing primes|no-twos zeta peak edt]].
Original HTML content:
<html><head><title>39edt</title></head><body>The 39 equal division of 3, the tritave, divides it into 39 equal parts of 48.678 cents each, corresponding to 24.606 edo. It is a strong no-twos 13-limit system, a fact first noted by <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a>, and like <a class="wiki_link" href="/26edt">26edt</a> and <a class="wiki_link" href="/52edt">52edt</a> it is a multiple of <a class="wiki_link" href="/13edt">13edt</a> and so contains the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale. It is contorted in the 7-limit, tempering out the same BP commas 245/243 and 3125/3087 as 13edt. In the 11-limit it tempers out 1331/1323 and in the 13-limit 275/273, 847/845 and 1575/1573. It is related to the 49f&172f temperament tempering out 245/243, 275/273, 847/845 and 1575/1573, which has map [<1 0 0 0 0 0|, <0 39 57 69 85 91|]. This has a POTE generator which is an approximate 77/75 of 48.822 cents. 39edt is the ninth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing primes">no-twos zeta peak edt</a>.</body></html>