# 601edo

 ← 600edo 601edo 602edo →
Prime factorization 601 (prime)
Step size 1.99667¢
Fifth 352\601 (702.829¢)
Semitones (A1:m2) 60:43 (119.8¢ : 85.86¢)
Dual sharp fifth 352\601 (702.829¢)
Dual flat fifth 351\601 (700.832¢)
Dual major 2nd 102\601 (203.661¢)
Consistency limit 3
Distinct consistency limit 3

601 equal divisions of the octave (abbreviated 601edo or 601ed2), also called 601-tone equal temperament (601tet) or 601 equal temperament (601et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 601 equal parts of about 2 ¢ each. Each step represents a frequency ratio of 21/601, or the 601st root of 2.

## Theory

601edo is inconsistent to the 5-odd-limit and both harmonics 3 and 5 are about halfway between its steps. It can be used in the 2.9.15.7.11.13.19 subgroup, tempering out 41503/41472, 104272/104247, 10648/10647, 388962/388531 and 10097379/10092544.

### Odd harmonics

Approximation of odd harmonics in 601edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.874 -0.956 -0.440 -0.249 -0.236 +0.071 -0.082 +0.868 -0.009 +0.434 +0.677
Relative (%) +43.8 -47.9 -22.0 -12.5 -11.8 +3.6 -4.1 +43.5 -0.4 +21.7 +33.9
Steps
(reduced)
953
(352)
1395
(193)
1687
(485)
1905
(102)
2079
(276)
2224
(421)
2348
(545)
2457
(53)
2553
(149)
2640
(236)
2719
(315)

### Subsets and supersets

601edo is the 110th prime edo. 1202edo, which doubles it, gives a good correction to the harmonics 3 and 5.

## Regular temperament properties

Subgroup Comma List Mapping Optimal
8ve Stretch (¢)
Tuning Error
Absolute (¢) Relative (%)
2.9 [-1905 601 [601 1905]] 0.0393 0.0393 1.97
2.9.5 32805/32768, [-105 -65 134 [601 1905 1395]] 0.1635 0.1785 8.94
2.9.5.7 32805/32768, 68359375/68024448, [-16 -5 -2 13 [601 1905 1395 1687]] 0.1618 0.1546 7.74
2.9.5.7.11 6250/6237, 41503/41472, 32805/32768, 3294225/3294172 [601 1905 1395 1687 2079]] 0.1431 0.1432 7.17
2.9.5.7.11.13 1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197 [601 1905 1395 1687 2079 2224]] 0.1160 0.1441 7.22

## Music

Francium
• "younothingbluck" from albumwithoutspaces (2024) – Spotify | Bandcamp | YouTube – stacks[19] in 601edo tuning