2024edo: Difference between revisions

Eliora (talk | contribs)
making a page for 2024
 
Eliora (talk | contribs)
Line 6: Line 6:
It has two suitable mappings for 5th harmonic, one which derives from 1012edo, and other in the 2024c val. In the 2024c val, it tempers out the [[wizma]], 420175/419904 in the 7-limit, as well as [[3025/3024]], [[4225/4224]] and [[10648/10647]] in the 13-limit.
It has two suitable mappings for 5th harmonic, one which derives from 1012edo, and other in the 2024c val. In the 2024c val, it tempers out the [[wizma]], 420175/419904 in the 7-limit, as well as [[3025/3024]], [[4225/4224]] and [[10648/10647]] in the 13-limit.


Likewise, 2024edo can be conceptualized as a 2.3.25 subgroup temperament, where sharp and flat mappings of 5/4 make together a dual [[25/1]]. In the 2.3.25.7 subgroup, it tempers out the [[ragisma]], 4375/4374. In the 2.3.25.7.11, it tempers out [[117649/117612]].
If the sharp and flat mappings of 5/4 are combined, then 2024edo is a good 2.3.25 subgroup tuning. In the 2.3.25.7.11 subgroup, it tempers out [[4375/4374]] and [[117649/117612]] and tunes a messed-up version of the [[heimdall]] temperament, which reaches 7th harmonic in 2 second generators instead of 4, and 11th harmonic in 6 second generators instead of 12, taking half as much.
===Harmonics===
===Harmonics===
{{harmonics in equal|2024}}
{{harmonics in equal|2024}}