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]]. | 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]] and [[brahmagupta]]. | 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 | In the 11-limit, it is a tuning for the rank-3 temperament [[heimdall]]. | ||
In higher limits, it supports 91th-octave temperament [[protactinium]]. | |||
1547's divisors are {{EDOs|1, 7, 13, 17, 91, 119, 221}}. | 1547's divisors are {{EDOs|1, 7, 13, 17, 91, 119, 221}}. | ||
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|<nowiki>-0.015</nowiki> | |<nowiki>-0.015</nowiki> | ||
|0.015 | |0.015 | ||
| | |1.99 | ||
|- | |- | ||
|2.3.5 | |2.3.5 | ||
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|[{{val|1547 2542 3592}}] | |[{{val|1547 2542 3592}}] | ||
|<nowiki>-0.008</nowiki> | |<nowiki>-0.008</nowiki> | ||
| | |0.017 | ||
| | |2.14 | ||
|- | |- | ||
|2.3.5.7 | |2.3.5.7 | ||
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| -0.007 | | -0.007 | ||
|0.014 | |0.014 | ||
| | |1.86 | ||
|- | |- | ||
|2.3.5.7.11 | |2.3.5.7.11 | ||
| Line 50: | Line 52: | ||
|<nowiki>-0.017</nowiki> | |<nowiki>-0.017</nowiki> | ||
|0.024 | |0.024 | ||
| | |3.10 | ||
|- | |- | ||
|2.3.5.7.11.13 | |2.3.5.7.11.13 | ||
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|<nowiki>-0.029</nowiki> | |<nowiki>-0.029</nowiki> | ||
|0.034 | |0.034 | ||
| | |4.42 | ||
|} | |} | ||
===Rank-2 temperaments=== | ===Rank-2 temperaments=== | ||