177edo

← 176edo

177edo

178edo →

Prime factorization	3 × 59
Step size	6.77966 ¢
Fifth	104\177 (705.085 ¢)
Semitones (A1:m2)	20:11 (135.6 ¢ : 74.58 ¢)
Dual sharp fifth	104\177 (705.085 ¢)
Dual flat fifth	103\177 (698.305 ¢)
Dual major 2nd	30\177 (203.39 ¢) (→ 10\59)
Consistency limit	7
Distinct consistency limit	7

The patent val tempers out 245/243 and 2401/2400 in the 7-limit, supporting and providing a good tuning for the octacot temperament.

Odd harmonics

Approximation of odd harmonics in 177edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+3.13	+0.13	+0.67	-0.52	-2.17	+0.15	+3.26	-3.26	+0.79	-2.98	+2.23
	Relative (%)	+46.2	+1.9	+9.8	-7.7	-31.9	+2.2	+48.0	-48.1	+11.7	-44.0	+33.0
Steps (reduced)		281 (104)	411 (57)	497 (143)	561 (30)	612 (81)	655 (124)	692 (161)	723 (15)	752 (44)	777 (69)	801 (93)

Subsets and supersets

Since 177 factors into 3 × 59, 177edo contains 3edo and 59edo as its subsets. 354edo, which doubles it, provides good correction for the approximation of harmonic 3.