2023edo: Difference between revisions
→Rank-2 temperaments: since leaves true gen is just one period over reduced gen, this is easy to calculate |
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{{EDO intro|2023}} | {{EDO intro|2023}} | ||
== Theory == | == Theory == | ||
2023edo is enfactored in the 5-limit, with the same mapping as [[289edo]]. As such it maps the period to 25/24, which means [[septendecima]] is also tempered out. In the 17-limit on the patent val, it is a tuning for the [[leaves]] temperament. | |||
2023edo is enfactored in the 5-limit, with the same mapping as [[289edo]]. | |||
In the 17-limit on the patent val, it is a tuning for the [[leaves]] temperament | |||
If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71. | If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71. | ||
In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]]. | In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]]. | ||
=== Prime harmonics === | |||
{{harmonics in equal|2023}} | |||
=== Subsets and supersets === | |||
The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>. | The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>. | ||