2072edo

← 2071edo

2072edo

2073edo →

Prime factorization	23 × 7 × 37
Step size	0.579151 ¢
Fifth	1212\2072 (701.931 ¢) (→ 303\518)
Semitones (A1:m2)	196:156 (113.5 ¢ : 90.35 ¢)
Consistency limit	17
Distinct consistency limit	17

2072edo is consistent in the 17-odd-limit, as well as a strong 5-limit tuning, tempering out kwazy, [-53 10 16⟩, [-33 97 -52⟩, and barium comma, [-225 224 -56⟩, equating 81/80 to 1/56th of the octave. It provides the optimal patent val for the barium temperament in the 13-limit. It tempers out the euzenius comma in the 7-limit.

Prime harmonics

Approximation of prime harmonics in 2072edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.024	-0.020	+0.093	+0.033	-0.180	-0.129	+0.170	+0.104	+0.153	-0.055
	Relative (%)	+0.0	-4.2	-3.5	+16.1	+5.8	-31.1	-22.3	+29.4	+18.0	+26.3	-9.5
Steps (reduced)		2072 (0)	3284 (1212)	4811 (667)	5817 (1673)	7168 (952)	7667 (1451)	8469 (181)	8802 (514)	9373 (1085)	10066 (1778)	10265 (1977)

Subsets and supersets

Since 2072 factors as 2³ × 7 × 37, 2072edo has subset edos 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036.