777edo

← 776edo

777edo

778edo →

Prime factorization	3 × 7 × 37
Step size	1.5444 ¢
Fifth	455\777 (702.703 ¢) (→ 65\111)
Semitones (A1:m2)	77:56 (118.9 ¢ : 86.49 ¢)
Dual sharp fifth	455\777 (702.703 ¢) (→ 65\111)
Dual flat fifth	454\777 (701.158 ¢)
Dual major 2nd	132\777 (203.861 ¢) (→ 44\259)
Consistency limit	3
Distinct consistency limit	3

777edo is a dual-fifth system with a consistency limit of only 3, but otherwise it is excellent in approximating harmonics 5, 7, 9, 11, and 13, making it suitable for a 2.9.5.7.11.13 subgroup interpretation with the comma basis {4459/4455, 41503/41472, 496125/495616, 123201/123200, 105644/105625}. In addition, it tempers out the landscape comma in the 2.9.5.7 subgroup.

Odd harmonics

Approximation of odd harmonics in 777edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.748	-0.213	-0.486	-0.049	+0.033	-0.373	+0.534	+0.064	+0.556	+0.262	+0.297
	Relative (%)	+48.4	-13.8	-31.5	-3.2	+2.2	-24.2	+34.6	+4.1	+36.0	+16.9	+19.2
Steps (reduced)		1232 (455)	1804 (250)	2181 (627)	2463 (132)	2688 (357)	2875 (544)	3036 (705)	3176 (68)	3301 (193)	3413 (305)	3515 (407)

Subsets and supersets

Since 777 factors into 3 × 7 × 37, 777edo has subset edos 3, 7, 21, 37, 111, and 333.