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 it 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 mapping. In higher limit, 1984edo approximates well the 2.9.19.31.33 subgroup.

In the 7-limit it 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)