32/27: Difference between revisions
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CompactStar (talk | contribs) Gariberttet is generated by ~13/11 |
→Temperaments: Gariberrttet's generator functions as 13/11 but is actually closer to 32/27 in an ideal tuning, but you're right, this bit needs more precise language. |
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== Temperaments == | == Temperaments == | ||
32/27 is treated as a comma in edos 3 & 6, | 32/27 is treated as a comma in edos 3 & 6, where the best approximation of a perfect 5th is the 800 cent interval that wraps around to the octave again after only three iterations. Temperaments it can be interpreted as if used as a generator include [[Kleismic_family#Kleiboh|Kleiboh]] or [[Gariberttet]]. | ||
== See also == | == See also == | ||
Revision as of 09:55, 23 July 2024
| 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, where the best approximation of a perfect 5th is the 800 cent interval that wraps around to the octave again after only three iterations. Temperaments it can be interpreted as if used as a generator include Kleiboh or Gariberttet.