121edo
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 2011-08-05 14:00:08 UTC.
- The original revision id was 244515527.
- 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 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the [[optimal patent val]] for 13-limit [[Mirkwai clan|grendel temperament]]. Because it tempers out 540/539 it allows [[swetismic chords]], because it tempers out 325/324 it allows [[marveltwin triad|marveltwin chords]], because it tempers out 640/637 it allows [[huntmic chords]], because it tempers out 352/351 it allows [[minthmic chords]], because it tempers out 364/363 it allows [[gentle chords]], because it tempers out 676/675 it allows [[island tetrad|island chords]] and because it tempers out 1575/1573 it allows the [[nicolic tetrad]]. That makes for a very flexible system, and since this suite of commas defines 13-limit 121et, it is a system only associated with 121.
Original HTML content:
<html><head><title>121edo</title></head><body>The 121 equal temperament divides the octave into 121 equal steps of 9.917 cents each. It has a distinctly sharp tendency, in that the odd primes from 3 to 19 all have sharp tunings. It tempers out 15625/15552 in the 5-limit; 4000/3969, 6144/6125, 10976/10935 in the 7-limit; 540/539, 896/891 and 1375/1372 in the 11-limit; 325/324, 352/351, 364/363 and 625/624 in the 13-limit; 256/255, 375/374 and 442/441 in the 17-limit; 190/189 and 361/360 in the 19-limit. It also serves as the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 13-limit <a class="wiki_link" href="/Mirkwai%20clan">grendel temperament</a>.<br /> <br /> Because it tempers out 540/539 it allows <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a>, because it tempers out 325/324 it allows <a class="wiki_link" href="/marveltwin%20triad">marveltwin chords</a>, because it tempers out 640/637 it allows <a class="wiki_link" href="/huntmic%20chords">huntmic chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>, because it tempers out 364/363 it allows <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, because it tempers out 676/675 it allows <a class="wiki_link" href="/island%20tetrad">island chords</a> and because it tempers out 1575/1573 it allows the <a class="wiki_link" href="/nicolic%20tetrad">nicolic tetrad</a>. That makes for a very flexible system, and since this suite of commas defines 13-limit 121et, it is a system only associated with 121.</body></html>