32/27: Difference between revisions

Fredg999 category edits (talk | contribs)
Mention alteraugment
 
(8 intermediate revisions by 6 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 32/27
| Monzo = 5 -3
| Cents = 294.13500
| Name = Pythagorean minor third
| Name = Pythagorean minor third
| Color name = w3, wa 3rd
| Color name = w3, wa 3rd
| FJS name = m3
| Sound = jid_32_27_pluck_adu_dr220.mp3
| Sound = jid_32_27_pluck_adu_dr220.mp3
}}
}}
Line 13: Line 9:
It is 352/351 sharp of [[13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]].
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, producing [[alteraugment]]. Temperaments it can be interpreted as if used as a generator include [[Kleismic_family#Kleiboh|Kleiboh]] or [[Gariberttet]].
== Approximation ==
{{Interval edo approximation|32/27}}
== See also ==
== See also ==
* [[27/16]] – its [[octave complement]]
* [[27/16]] – its [[octave complement]]
Line 20: Line 21:
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]


[[Category:3-limit]]
[[Category:Third]]
[[Category:Third]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Octave-reduced subharmonics]]
{{todo| expand }}