346edo

From Xenharmonic Wiki
Revision as of 21:51, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
Jump to navigation Jump to search
← 345edo 346edo 347edo →
Prime factorization 2 × 173
Step size 3.46821 ¢ 
Fifth 202\346 (700.578 ¢) (→ 101\173)
Semitones (A1:m2) 30:28 (104 ¢ : 97.11 ¢)
Dual sharp fifth 203\346 (704.046 ¢)
Dual flat fifth 202\346 (700.578 ¢) (→ 101\173)
Dual major 2nd 59\346 (204.624 ¢)
Consistency limit 7
Distinct consistency limit 7

346edo divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.