32/27
| Interval information |
reduced subharmonic
[sound info]
The Pythagorean minor third of 32/27 is the interval between 9/8 and 4/3 which arises naturally in 3-limit just intonation. Compared to the more typical 6/5- with which it is conflated in meantone- this interval is more dissonant, with a harmonic entropy level roughly on par with that of 9/8.
It is 352/351 sharp of 13/11, and tempering 352/351 out equates it with 13/11 and leads to minthmic chords.
Temperaments
32/27 is treated as a comma in edos 3 & 6, whos best approximation of a perfect 5th is the 800 cent interval that wraps around to the octave again after only three iterations. If it is used as a generator instead, it produces Gariberttet.