145edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-08-02 15:58:45 UTC.
- The original revision id was 243975321.
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Original Wikitext content:
The //145 equal division// divides the octave into 145 equal parts of 8.276 cents each. It is the [[optimal patent val]] for 11-limit [[Hemifamity temperaments|mystery temperament]] and 11-limit rank three temperament [[Hemifamity family|pele temperament]]. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. Because it tempers out 441/440 it allows [[werckismic chords]], because it tempers out 196/195 it allows [[mynucumic chords]], because it tempers out 352/351 it allows [[minthmic chords]], and because it tempers out 364/363 it allows [[gentle chords]], making it a very flexible harmonic system. The same is true of [[205edo]], the patent val for this collection of commas. The corresponding 145&232 temperament is 13-limit mystery.
Original HTML content:
<html><head><title>145edo</title></head><body>The <em>145 equal division</em> divides the octave into 145 equal parts of 8.276 cents each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Hemifamity%20temperaments">mystery temperament</a> and 11-limit rank three temperament <a class="wiki_link" href="/Hemifamity%20family">pele temperament</a>. It tempers out 1600000/1594323 in the 5-limit; 4375/4374 and 5120/5103 in the 7-limit; 441/440 and 896/891 in the 11-limit; 196/195, 352/351 and 364/363 in the 13-limit; 595/594 in the 17-limit; 343/342 and 476/475 in the 19-limit. Because it tempers out 441/440 it allows <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a>, because it tempers out 196/195 it allows <a class="wiki_link" href="/mynucumic%20chords">mynucumic chords</a>, because it tempers out 352/351 it allows <a class="wiki_link" href="/minthmic%20chords">minthmic chords</a>, and because it tempers out 364/363 it allows <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, making it a very flexible harmonic system. The same is true of <a class="wiki_link" href="/205edo">205edo</a>, the patent val for this collection of commas. The corresponding 145&232 temperament is 13-limit mystery.</body></html>