2029edo

← 2028edo

2029edo

2030edo →

Prime factorization	2029 (prime)
Step size	0.591424 ¢
Fifth	1187\2029 (702.021 ¢)
Semitones (A1:m2)	193:152 (114.1 ¢ : 89.9 ¢)
Consistency limit	15
Distinct consistency limit	15

2029 equal divisions of the octave (abbreviated 2029edo or 2029ed2), also called 2029-tone equal temperament (2029tet) or 2029 equal temperament (2029et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2029 equal parts of about 0.591 ¢ each. Each step represents a frequency ratio of 2^1/2029, or the 2029th root of 2.

2029edo is consistent in the 15-odd-limit and it is also a good 23-limit system (particularly a no-17s 23-limit system), with all prime harmonics from 5 through 23 tuned flat.

In the 29-limit, despite inconsistency, it does provide a strong tuning for the rank-9 bronxismic temperament, tempering out 10472/10469.

Approximation of prime harmonics in 2029edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.066	-0.114	-0.073	-0.110	-0.114	-0.273	-0.027	-0.182	+0.093	-0.038
	Relative (%)	+0.0	+11.1	-19.2	-12.3	-18.7	-19.2	-46.2	-4.5	-30.7	+15.7	-6.4
Steps (reduced)		2029 (0)	3216 (1187)	4711 (653)	5696 (1638)	7019 (932)	7508 (1421)	8293 (177)	8619 (503)	9178 (1062)	9857 (1741)	10052 (1936)

Music

Francium

• "Thanks for Specifying Freshly Squeezed!" from Exclamations (2026) – Spotify | Bandcamp | YouTube – in Squares, 2029edo tuning