1547edo: Difference between revisions
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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|4/3]], 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|4/3]], 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. | ||
| Line 87: | Line 87: | ||
|27/20<br>(325/324) | |27/20<br>(325/324) | ||
|[[Brahmagupta]] | |[[Brahmagupta]] | ||
|- | |||
|13 | |||
|642\1547<br>(47\1547) | |||
|497.996<br>(36.458) | |||
|4/3<br>(?) | |||
|[[Aluminium]] | |||
|- | |- | ||
|17 | |17 | ||