118edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author phylingual and made on 2012-06-04 18:08:36 UTC.
- The original revision id was 342593762.
- 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:
//118edo// divides the octave into 118 equal parts, each of 10.17 cents. It represents the intersection of the 5-limit schismatic and parakleismic temperaments, tempering out both the schisma, |-15 8 1> and the parakleisma, |8 14 -13>, as well as the vishnuzma, |23 6 -14>, the hemithirds comma, |38 -2 -15> and the kwazy, |-53 10 16>. It is the first 5-limit equal division which clearly gives microtempering, with errors well under half a cent. In the 7-limit it is particularly notable for tempering out the gamelisma, 1029/1024, and is an excellent tuning for the rank three gamelismic temperament, and for guiron, the rank two temperament also tempering out the schisma, 32805/32768. It also tempers out 3136/3125, the hemimean comma, but [[99edo]] does better with that. In the 11-limit, it tempers out 385/384 and 441/440, and is an excellent tuning for portent, the temperament tempering out both, and for the 11-limit version of guiron, which does also.
Original HTML content:
<html><head><title>118edo</title></head><body><em>118edo</em> divides the octave into 118 equal parts, each of 10.17 cents. It represents the intersection of the 5-limit schismatic and parakleismic temperaments, tempering out both the schisma, |-15 8 1> and the parakleisma, |8 14 -13>, as well as the vishnuzma, |23 6 -14>, the hemithirds comma, |38 -2 -15> and the kwazy, |-53 10 16>. It is the first 5-limit equal division which clearly gives microtempering, with errors well under half a cent.<br /> <br /> In the 7-limit it is particularly notable for tempering out the gamelisma, 1029/1024, and is an excellent tuning for the rank three gamelismic temperament, and for guiron, the rank two temperament also tempering out the schisma, 32805/32768. It also tempers out 3136/3125, the hemimean comma, but <a class="wiki_link" href="/99edo">99edo</a> does better with that.<br /> <br /> In the 11-limit, it tempers out 385/384 and 441/440, and is an excellent tuning for portent, the temperament tempering out both, and for the 11-limit version of guiron, which does also.</body></html>