98edo: Difference between revisions

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{{Primes in edo|98}}
{{Primes in edo|98}}
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=pR4li7aIUZE ''microtonal improvisation in 98edo''] (2023)


[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
[[Category:Meantone]]
[[Category:Meantone]]

Revision as of 09:25, 17 September 2023

← 97edo 98edo 99edo →
Prime factorization 2 × 72
Step size 12.2449 ¢ 
Fifth 57\98 (697.959 ¢)
Semitones (A1:m2) 7:9 (85.71 ¢ : 110.2 ¢)
Consistency limit 3
Distinct consistency limit 3

98 EDO, the 98 equal temperament divides the octave into equal parts of 12.245 cents each. The patent val has a flat 3, a sharp 5 and a slightly flat 7, and tempers out 81/80 in the 5-limit, making it a system of meantone family with a 4-cent-flat fifth. In the 7-limit it tempers out 1029/1024, 1728/1715, supporting mothra temperament, in the 11-limit 176/175 and 540/539, supporting mosura, and in the 13-limit 144/143 and 196/195. It provides the optimal patent val for 13-limit mosura temperament.

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Music

Bryan Deister