392edo: Difference between revisions
Review |
+11-limit commas |
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== Theory == | == Theory == | ||
392et is [[consistent]] to the [[7-odd-limit]] with a flat tendency in the [[prime harmonic]]s. The equal temperament [[tempering out|tempers out]] the [[parakleisma]] in the 5-limit; 321489/320000 (varunisma), 420175/419904 (wizma), 703125/702464 ([[meter]]), and 823543/819200 (quince comma) in the 7-limit. It [[support]]s [[qak]] and [[octowerck]]. | 392et is [[consistent]] to the [[7-odd-limit]] with a flat tendency in the [[prime harmonic]]s. The equal temperament [[tempering out|tempers out]] the [[parakleisma]] in the 5-limit; 321489/320000 (varunisma), 420175/419904 (wizma), 703125/702464 ([[meter]]), and 823543/819200 (quince comma) in the 7-limit; and [[441/440]], [[8019/8000]], [[9801/9800]], and [[41503/41472]] in the 11-limit. It [[support]]s [[qak]] and [[octowerck]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
| Line 25: | Line 25: | ||
| {{monzo| -621 392 }} | | {{monzo| -621 392 }} | ||
| {{mapping| 392 621 }} | | {{mapping| 392 621 }} | ||
| 0.2948 | | +0.2948 | ||
| 0.2949 | | 0.2949 | ||
| 9.63 | | 9.63 | ||
| Line 32: | Line 32: | ||
| {{monzo| 8 14 -13 }}, {{monzo| -49 28 2 }} | | {{monzo| 8 14 -13 }}, {{monzo| -49 28 2 }} | ||
| {{mapping| 392 621 910 }} | | {{mapping| 392 621 910 }} | ||
| 0.2826 | | +0.2826 | ||
| 0.2414 | | 0.2414 | ||
| 7.89 | | 7.89 | ||
| Line 39: | Line 39: | ||
| 321489/320000, 420175/419904, 703125/702464 | | 321489/320000, 420175/419904, 703125/702464 | ||
| {{mapping| 392 621 910 1100 }} | | {{mapping| 392 621 910 1100 }} | ||
| 0.3437 | | +0.3437 | ||
| 0.2343 | | 0.2343 | ||
| 7.65 | | 7.65 | ||
| Line 46: | Line 46: | ||
| 441/440, 8019/8000, 41503/41472, 703125/702464 | | 441/440, 8019/8000, 41503/41472, 703125/702464 | ||
| {{mapping| 392 621 910 1100 1356 }} | | {{mapping| 392 621 910 1100 1356 }} | ||
| 0.2922 | | +0.2922 | ||
| 0.2335 | | 0.2335 | ||
| 7.63 | | 7.63 | ||