User:Eliora/3200edo

← 3199edo

3200

3201edo →

Prime factorization	27 × 52
Step size	0.375 ¢
Fifth	1872\3200 (702 ¢) (→ 117\200)
Semitones (A1:m2)	304:240 (114 ¢ : 90 ¢)
Consistency limit	5
Distinct consistency limit	5

3200 equal divisions of the octave (abbreviated 3200edo or 3200ed2), also called 3200-tone equal temperament (3200tet) or 3200 equal temperament (3200et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 3200 equal parts of exactly 0.375 ¢ each. Each step represents a frequency ratio of 2^1/3200, or the 3200th root of 2.

3200edo is enfactored in the 11-limit, sharing the tuning with 1600edo.

Odd harmonics

Approximation of odd harmonics in 3200edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.045	-0.064	+0.174	+0.090	-0.068	-0.153	-0.019	+0.045	-0.138	-0.156	-0.149
	Relative (%)	+12.0	-17.0	+46.4	+24.0	-18.1	-40.7	-5.0	+11.9	-36.8	-41.6	-39.8
Steps (reduced)		5072 (1872)	7430 (1030)	8984 (2584)	10144 (544)	11070 (1470)	11841 (2241)	12502 (2902)	13080 (280)	13593 (793)	14055 (1255)	14475 (1675)