198edo
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 2011-10-23 16:49:57 UTC.
- The original revision id was 267672514.
- 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 //198 equal temperament// divides the octave into 198 parts of 6.061 cents each. It is contorted in the [[7-limit]], with the same the same tuning as [[99edo]], but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3135, 5120/5103 and 6144/6125 in the 7-limit; in the [[11-limit]] it tempers 3025/3024 and 9801/9800; and in the [[13-limit]] 352/351, 847/845, 676/675, 1001/1000, 1716/1715 and 2080/2079. It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[Misty family#Hemimist|hemimist]] and [[Hemifamity family#Namaka|namaka]]. It is distinctly [[consistent]] through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.
Original HTML content:
<html><head><title>198edo</title></head><body>The <em>198 equal temperament</em> divides the octave into 198 parts of 6.061 cents each. It is contorted in the <a class="wiki_link" href="/7-limit">7-limit</a>, with the same the same tuning as <a class="wiki_link" href="/99edo">99edo</a>, but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3135, 5120/5103 and 6144/6125 in the 7-limit; in the <a class="wiki_link" href="/11-limit">11-limit</a> it tempers 3025/3024 and 9801/9800; and in the <a class="wiki_link" href="/13-limit">13-limit</a> 352/351, 847/845, 676/675, 1001/1000, 1716/1715 and 2080/2079.<br /> <br /> It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as <a class="wiki_link" href="/Misty%20family#Hemimist">hemimist</a> and <a class="wiki_link" href="/Hemifamity%20family#Namaka">namaka</a>. It is distinctly <a class="wiki_link" href="/consistent">consistent</a> through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.</body></html>