32/27: Difference between revisions

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| 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
}}
}}


The '''Pythagorean minor third''' of '''32/27''' is the interval between [[9/8]] and [[4/3]] which arises naturally in [[3-limit]] just intonation. It is 352/351 sharp of [[13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]].
The '''Pythagorean minor third''' of '''32/27''' is the interval between [[9/8]] and [[4/3]] which arises naturally in [[3-limit]] just intonation.  
 
It is 352/351 sharp of [[13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]].


== See also ==
== See also ==
* [[Gallery of Just Intervals]]
* [[27/16]] its [[octave complement]]
* [[27/16]] - its [[octave complement]]
* [[81/64]] its [[fifth complement]]
* [[81/64]] - its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]


[[Category:Pythagorean]]
[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Interval ratio]]
[[Category:Pythagorean]]


[[Category:Todo:expand]]
{{todo| expand }}

Revision as of 04:11, 13 March 2021

Interval information
Ratio 32/27
Factorization 25 × 3-3
Monzo [5 -3
Size in cents 294.135¢
Name Pythagorean minor third
Color name w3, wa 3rd
FJS name [math]\displaystyle{ \text{m3} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 9.75489
Weil norm (log2 max(n, d)) 10
Wilson norm (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

The Pythagorean minor third of 32/27 is the interval between 9/8 and 4/3 which arises naturally in 3-limit just intonation.

It is 352/351 sharp of 13/11, and tempering 352/351 out equates it with 13/11 and leads to minthmic chords.

See also