241edo

Revision as of 18:53, 13 March 2022 by FloraC (talk | contribs) (+prime error table)

241edo is the equal division of the octave into 241 parts of 4.9793 cents each. It tempers out 78732/78125 in the 5-limit, 19683/19600 and 3136/3125 in the 7-limit, 65536/65219, 540/539, 43923/43904, and 151263/151250 in the 11-limit, and 351/350, 676/675, 729/728, 1001/1000 and 2080/2079 in the 13-limit. It provides the optimal patent val for subpental.

241edo is the 53rd prime edo.

Prime harmonics

Approximation of prime harmonics in 241edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.12 +2.07 +2.13 +1.38 +0.97 -0.39 +1.24 -0.89 +1.13 +0.19
Relative (%) +0.0 +2.4 +41.5 +42.7 +27.7 +19.4 -7.9 +24.9 -17.8 +22.7 +3.9
Steps
(reduced)
241
(0)
382
(141)
560
(78)
677
(195)
834
(111)
892
(169)
985
(21)
1024
(60)
1090
(126)
1171
(207)
1194
(230)