3edf

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3edf

4edf →

Prime factorization	3 (prime)
Step size	233.985 ¢
Octave	5\3edf (1169.93 ¢) (convergent)
Twelfth	8\3edf (1871.88 ¢) (convergent)
Consistency limit	10
Distinct consistency limit	4

3edf, if the attempt is made to use it as an actual scale, would divide the just perfect fifth into three equal parts, each of size 233.985 cents, which is to say (3/2)^1/3 as a frequency ratio. It corresponds to 5.1285 edo. If we want to consider it to be a temperament, it tempers out 16/15, 21/20, 28/27, 81/80, and 256/243 as well as 5edo.

Factoids about 3edf

3edf's step size is close to the slendric temperament, which tempers out 1029/1024 in the 2.3.7 subgroup. It can be used as a slendric tuning. It also works well as a tuning for arto and tendo chords.

Intervals

#	Cents	Approximate JI Ratios
1	233.99	8/7
2	467.97	55/42
3	701.96	exact 3/2

Music

• Sequences & Chaos by Bazil Müzik