81/80 equal-step tuning

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81/80s equal temperament (AS81/80) is an equal multiplication of the syntonic comma. It corresponds to 55.79763 EDO.

Theory

81/80s equal temperament can be regarded as a subset of 5-limit just intonation.

Some intervals it approximates well are 5/4, 7/4, 12/11, 14/13, and 15/11. In addition, it represents well certain compound intervals such as 8/3, 11/1, 12/1 while omitting their octave reductions.

With a stretch, 53edo can be regarded as its ED2 equivalent.

Approximation of harmonics in 1ed81/80
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) +4.35 -9.40 +8.70 +9.50 -5.05 +7.66 -8.45 +2.70 -7.65 -0.60 -0.70
relative (%) +20 -44 +40 +44 -23 +36 -39 +13 -36 -3 -3
Step 56 88 112 130 144 157 167 177 185 193 200