144edo

← 143edo

144edo

145edo →

Prime factorization	24 × 32
Step size	8.33333 ¢
Fifth	84\144 (700 ¢) (→ 7\12)
Semitones (A1:m2)	12:12 (100 ¢ : 100 ¢)
Consistency limit	11
Distinct consistency limit	11

Theory

144edo is closely related to 72edo, but the patent vals differ on the mapping for 13 and 17. It is contorted in the 11-limit, tempering out 225/224, 243/242, 385/384, 441/440, and 4000/3993. Using the patent val, it tempers out 847/845, 1188/1183, 1701/1690, 1875/1859, and 4225/4224 in the 13-limit; 273/272, 715/714, 833/832, 875/867, 891/884, and 1275/1274 in the 17-limit; 210/209, 325/323, 343/342, 363/361, 400/399, 513/512, and 665/663 in the 19-limit.

The 144gh val is a tuning for semihemisecordite temperament, while 144eff val is a tuning for hemimiracle. 144ee is a tuning for oracle. 144cf val supports necromanteion.

Approximation to φ

144edo is the 12th Fibonacci edo, and the square of world-dominant 12edo. As a consequence of being a Fibonacci EDO, it can produce extremely precise approximation of the logarithmic golden ratio at 89 steps. In addition, it also excellently represents the acoustic golden ratio by 100 steps.

Music

• Like an endless uphill by 5 hideya