1547edo: Difference between revisions
→Rank-2 temperaments: missed a monzo there |
→Rank-2 temperaments: based on what 1\364 and 13\1547 map to |
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1547edo is excellent in the 7-limit. It tempers out [[4375/4374]] and it is a member of the [[optimal GPV sequence]] for the rank-3 temperament associated with this comma. | 1547edo is excellent in the 7-limit. It tempers out [[4375/4374]] and it is a member of the [[optimal GPV sequence]] for the rank-3 temperament associated with this comma. | ||
In the 5-limit, it supports [[gross]], which is a very high-accuracy temperament. The 118-tone maximal evenness scale produced by gross is [[concoctic]], since it uses 118\1547 as the generator. In addition, 1547edo tempers out the [[septendecima]] and thus supports the [[chlorine]] temperament in 5-limit and also in the 7-limit. 1547edo tempers out the 5-limit comma {{Monzo|236 -61 -60}}, thus associating a stack of 60 [[15/8]]<nowiki/>s with [[8/5]], and 61 of them make a [[5/4]]. | In the 5-limit, it supports [[gross]], which is a very high-accuracy temperament. The 118-tone maximal evenness scale produced by gross is [[concoctic]], since it uses 118\1547 as the generator. In addition, 1547edo tempers out the [[septendecima]] and thus supports the [[chlorine]] temperament in 5-limit and also in the 7-limit. 1547edo tempers out the 5-limit comma {{Monzo|236 -61 -60}}, thus associating a stack of 60 [[15/8]]<nowiki/>s with [[8/5]], and 61 of them make a [[5/4]]. | ||
In the 7-limit, it supports [[semidimi]]. Another edo which is quite strong in the 7-limit is like 1547edo is 441edo, and 1547edo thus supports the [[brahmagupta]] temperament produced by merging 441 & 1547. | In the 7-limit, it supports [[semidimi]]. Another edo which is quite strong in the 7-limit is like 1547edo is 441edo, and 1547edo thus supports the [[brahmagupta]] temperament produced by merging 441 & 1547. | ||
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|642\1547<br>(13\1547) | |642\1547<br>(13\1547) | ||
|497.996<br>(10.084) | |497.996<br>(10.084) | ||
|4/3<br>( | |4/3<br>(3025/3024) | ||
|[[Protactinium]] | |[[Protactinium]] | ||
|} | |} | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||