2243edo: Difference between revisions
Created page with "{{Infobox ET}} {{ED intro}} == Theory == 2243edo is consistent to the 9-odd-limit tempering out 43046721/43025920, 78125000/78121827 and 281484423828125/281474976710656 in the 7-limit. It is strong in the 2.3.5.7.13.17.19 subgroup, tempering out 5832/5831, 6175/6174, 14365/14364, 121875/121856, 1003833/1003520 and 1101600/1101373. Using the 2.3.19 subgroup, it tempers out 19/18, using the 2.3.5.17.19 subgroup it tempers out the laki..." |
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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== Theory == | == Theory == | ||
2243edo is [[consistent]] to the [[9-odd-limit]] [[tempering out]] [[43046721/43025920]], [[78125000/78121827]] and 281484423828125/281474976710656 in the 7-limit. It is strong in the 2.3.5.7.13.17.19 [[subgroup]], tempering out [[5832/5831]], [[6175/6174]], 14365/14364, 121875/121856, 1003833/1003520 and 1101600/1101373. Using | 2243edo is [[consistent]] to the [[9-odd-limit]] [[tempering out]] [[43046721/43025920]], [[78125000/78121827]] and 281484423828125/281474976710656 in the 7-limit. It is strong in the 2.3.5.7.13.17.19 [[subgroup]], tempering out [[5832/5831]], [[6175/6174]], 14365/14364, 121875/121856, 1003833/1003520 and 1101600/1101373. Using the 2.3.5.17.19 subgroup it tempers out the [[lakisma]]. Using the 2.3.7.13.31.37 subgroup, it tempers out [[3627/3626]]. It [[support]]s [[hemiegads]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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| [[Counterschismic]] | | [[Counterschismic]] | ||
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<nowiki />* [[Normal | <nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||