618edo

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The 618 equal divisions of the octave (618edo), or the 618-tone equal temperament (618tet), 618 equal temperament (618et) when viewed from a regular temperament perspective, divides the octave into 618 equal parts of about 1.94 cents each.

Theory

As every other step of 1236edo, 618edo is excellent in the 2.9.5.7.11.13.17 subgroup, where it notably tempers out 2601/2600, 4096/4095, 5832/5831, 6656/6655, 9801/9800, and 10648/10647. With a reasonable approximation of 19, it further tempers out 2926/2925, 5985/5984, and 6175/6174.

Odd harmonics

Approximation of odd harmonics in 618edo
Harmonic 3 5 7 9 11 13 15 17 19 21
Error absolute (¢) +0.958 +0.094 +0.106 -0.027 +0.138 +0.249 -0.890 -0.101 -0.426 -0.878
relative (%) +49 +5 +5 -1 +7 +13 -46 -5 -22 -45
Steps
(reduced)
980
(362)
1435
(199)
1735
(499)
1959
(105)
2138
(284)
2287
(433)
2414
(560)
2526
(54)
2625
(153)
2714
(242)