1955edo

← 1954edo

1955edo

1956edo →

Prime factorization	5 × 17 × 23
Step size	0.613811 ¢
Fifth	1144\1955 (702.199 ¢)
Semitones (A1:m2)	188:145 (115.4 ¢ : 89 ¢)
Dual sharp fifth	1144\1955 (702.199 ¢)
Dual flat fifth	1143\1955 (701.586 ¢)
Dual major 2nd	332\1955 (203.785 ¢)
Consistency limit	3
Distinct consistency limit	3

1955edo represents well the 2.9.11.15.17.21 subgroup, with a comma basis {43923/43904, 163863/163840, 334125/334084, 1285956/1285625, 1434818/1434375}.

In particular, 1955edo is an excellent 2.15.17.21 subgroup tuning with harmonics are represented to within 3% error, with the comma basis {2000033/2000000, 2.15.17.21 [80 -8 -13 1⟩, and 2.15.17.21 [73 -15 4 -7⟩}.

The 1955 & 6003 temperament in the 2.15.17.21 subgroup has only 0.000396 cents per octave of TE error. It is period-23 and has a comma basis {2000033/2000000, 2.5.17.21 [-101 -12 48 -11⟩}.

Odd harmonics

Approximation of odd harmonics in 1955edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.244	-0.227	-0.233	-0.125	-0.116	-0.221	+0.018	+0.006	+0.185	+0.012	+0.268
	Relative (%)	+39.8	-36.9	-37.9	-20.3	-18.9	-36.0	+2.9	+1.0	+30.2	+1.9	+43.6
Steps (reduced)		3099 (1144)	4539 (629)	5488 (1578)	6197 (332)	6763 (898)	7234 (1369)	7638 (1773)	7991 (171)	8305 (485)	8587 (767)	8844 (1024)

Subsets and supersets

Since 1955 factors as 5 x 17 x 23, 1955edo has subsete edos 5, 17, 23, 85, 115, 391.