1984edo

← 1983edo

1984edo

1985edo →

Prime factorization	26 × 31
Step size	0.604839 ¢
Fifth	1161\1984 (702.218 ¢)
Semitones (A1:m2)	191:147 (115.5 ¢ : 88.91 ¢)
Dual sharp fifth	1161\1984 (702.218 ¢)
Dual flat fifth	1160\1984 (701.613 ¢) (→ 145\248)
Dual major 2nd	337\1984 (203.831 ¢)
Consistency limit	7
Distinct consistency limit	7

1984edo is consistent in the 7-odd-limit and is a mostly sharp system, with 3, 5, 7, 11, and 17 all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and in consistent mapping they are one step off their direct approximation. In higher limit, 1984edo approximates well the 2.9.19.31.33 subgroup.

In the 7-limit the equal temperament tempers out the wizma (420175/419904), the garischisma (33554432/33480783), and the pessoalisma (2147483648/2144153025).

Odd harmonics

Approximation of odd harmonics in 1984edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.263	+0.178	+0.126	-0.079	+0.295	+0.198	-0.164	+0.287	+0.068	-0.216	+0.153
	Relative (%)	+43.4	+29.5	+20.8	-13.1	+48.8	+32.8	-27.1	+47.4	+11.2	-35.8	+25.3
Steps (reduced)		3145 (1161)	4607 (639)	5570 (1602)	6289 (337)	6864 (912)	7342 (1390)	7751 (1799)	8110 (174)	8428 (492)	8714 (778)	8975 (1039)

Subsets and supersets

Since 1984 factors into 2⁶ × 31, 1984edo has subset edos 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, and 992.