32/27: Difference between revisions

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| Cents = 294.13500
| Cents = 294.13500
| Name = Pythagorean minor third
| Name = Pythagorean minor third
| Color name = w3,<br/> wa 3rd
| Color name = w3, wa 3rd
| Sound = jid_32_27_pluck_adu_dr220.mp3
| Sound = jid_32_27_pluck_adu_dr220.mp3
}}
}}

Revision as of 21:12, 24 October 2018

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