148edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-03-26 08:01:34 UTC.
- The original revision id was 214171362.
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Original Wikitext content:
The //148 equal division// divides the octave into 148 equal parts of 8.108 cents each. It provides the [[optimal patent val]] for 11-limit [[Diaschismic family|echidnic temperament]], the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the [[patent val]] tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of [[80edo]] for 7- and 13- limit [[Diaschismic family|bidia temperament]], the 12&56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845. 148 = 4 * 37, with divisors 2, 4, 37, 74.
Original HTML content:
<html><head><title>148edo</title></head><body>The <em>148 equal division</em> divides the octave into 148 equal parts of 8.108 cents each. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit <a class="wiki_link" href="/Diaschismic%20family">echidnic temperament</a>, the 10&46 temperament. It has a fifth on the sharp side, 3.45 cents sharp. It tempers out 2048/2025 in the 5-limit, making it a diaschismic system. In the 7-limit, the <a class="wiki_link" href="/patent%20val">patent val</a> tempers out 686/675 and 1029/1024, but an alternative mapping <148 235 344 416| with a sharp rather than a flat 7 tempers out 3136/3125 instead, and provides a better tuning than the patent val tuning of <a class="wiki_link" href="/80edo">80edo</a> for 7- and 13- limit <a class="wiki_link" href="/Diaschismic%20family">bidia temperament</a>, the 12&56 temperament. In the 11-limit, the patent val tempers out 385/384 and 441/440, and the alternative mapping with the sharp 7 tempers out 176/175, 896/891 and 1375/1372 instead. In the 13-limit, the patent val tempers out 325/324 and 364/363, and the alternative val 325/324 again, as well as 640/637 and 847/845.<br /> <br /> 148 = 4 * 37, with divisors 2, 4, 37, 74.</body></html>