450edo: Difference between revisions
→Regular temperament properties: update |
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== Theory == | == Theory == | ||
450edo is [[consistent]] to the [[7-odd-limit]]. It can be considered for the 2.3.5.7.13.17.29.31.37 [[subgroup]], where it [[tempering out|tempers out]] 651/650, 1666/1665, 1887/1885, 2016/2015, 2295/2294, 5916/5915, 4901/4900 and 14229/14210 | 450edo is [[consistent]] to the [[7-odd-limit]]. It tempers out the [[triwellisma]] and the [[varunisma]] in the [[7-limit]], [[support]]ing and providing the [[optimal patent val]] for 7-limit [[decile]]. It can be considered for the 2.3.5.7.13.17.29.31.37 [[subgroup]], where it [[tempering out|tempers out]] 651/650, 1666/1665, 1887/1885, 2016/2015, 2295/2294, 5916/5915, 4901/4900 and 14229/14210. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
450 factors into 2 × 3<sup>2</sup> × 5<sup>2</sup>, | Since 450 factors into {{nowrap| 2 × 3<sup>2</sup> × 5<sup>2</sup> }}, 450edo has subset edos {{EDOs| 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, and 225 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| 18.67 | | 18.67 | ||
| 81/80 | | 81/80 | ||
| [[Quintile]] | | [[Quintile]] | ||
|- | |||
| 10 | |||
| 7\450 | |||
| 18.67 | |||
| 81/80 | |||
| [[Decile]] | |||
|} | |} | ||
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | <nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | ||
[[Category:Decile]] | |||