106edo
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 2011-09-19 12:15:15 UTC.
- The original revision id was 255686812.
- 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 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to [[53edo]], and is [[Saturation|contorted]] through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports [[Marvel family#Spectacle|spectacle temperament]] and [[Semicomma family#Borwell|borwell temperament]]. The division is notable for the fact that it is related to the [[turkish cent]], ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the [[relative cent]] division for 106edo.
Original HTML content:
<html><head><title>106edo</title></head><body>The 106 equal division divides the octave into 106 equal parts of 11.321 cents each. Since 106 = 2*53 it is closely related to <a class="wiki_link" href="/53edo">53edo</a>, and is <a class="wiki_link" href="/Saturation">contorted</a> through the 7-limit, tempering out the same commas (32805/32768, 15625/15552, 1600000/1594323, 2109375/2097152 in the 5-limit, 3125/3097, 225/224, 4000/3969, 1728/1715, 2430/2401, 4375/4374 in the 7-limit) as the patent val for 53edo. In the 11-limit it also tempers out 243/242, 3025/3024 and 9801/9800, so that it supports <a class="wiki_link" href="/Marvel%20family#Spectacle">spectacle temperament</a> and <a class="wiki_link" href="/Semicomma%20family#Borwell">borwell temperament</a>.<br /> <br /> The division is notable for the fact that it is related to the <a class="wiki_link" href="/turkish%20cent">turkish cent</a>, ot türk sent, which divides 106edo into 100 parts just as ordinary cents divides 12edo into 100 parts, thereby making it the <a class="wiki_link" href="/relative%20cent">relative cent</a> division for 106edo.</body></html>