270edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-06-27 02:16:52 UTC.
- The original revision id was 238900915.
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Original Wikitext content:
The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong [[13-limit]] system, distinct and consistent through the 15 odd limit, and is the thirteenth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an [[The Archipelago|archipelago]] tuning, and the optimal patent val for some of the archipelago temperaments.
Original HTML content:
<html><head><title>270edo</title></head><body>The 270 equal division divides the octave into 270 equal parts of 4.4444 cents each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, distinct and consistent through the 15 odd limit, and is the thirteenth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. In the 5-limit it tempers out the ennealimma, |1 -27 18>, the vulture comma, |24 -21 4>, and the vishnuzma or semisuper comma, |23 6 -14>. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports ennealimmal temperament, the wizma, 420175/419904 and the landscape comma, 250047/250000. In the 11-limit, it tempers out 5632/5625, 3025/3024 and 9801/9800. Finally in the 13-limit it tempers out 676/675, 1001/1000, 1716/1715 and 2080/2079, making it an <a class="wiki_link" href="/The%20Archipelago">archipelago</a> tuning, and the optimal patent val for some of the archipelago temperaments.</body></html>