64/27: Difference between revisions

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Created page with "{{Infobox Interval | Name = Pythagorean minor tenth | Color name = w10, wa 10th }} '''64/27''' is the '''Pythagorean minor tenth'''. It functions as an octave above a pythagorean minor third in just intonation. == Trivia == This interval is a common ultrawide aspect ratio, often marketed as 21:9, which simplifies to 7:3. 64/27 differs from 21/9 by 64/63, the septimal comma. == See also == * 32/27 – its octave reduction * 81/64 –..."
 
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'''64/27''' is the '''Pythagorean minor tenth'''. It functions as an octave above a [[32/27|pythagorean minor third]] in just intonation.
'''64/27''' is the '''Pythagorean minor tenth'''. It is a stack of three [[4/3|perfect fourth]]s, and is an [[2/1|octave]] larger than a [[32/27|pythagorean minor third]].


== Trivia ==
== Trivia ==

Revision as of 20:39, 8 October 2026

Interval information
Ratio 64/27
Factorization 26 × 3-3
Monzo [6 -3⟩
Size in cents 1494.135 ¢
Name Pythagorean minor tenth
Color name w10, wa 10th
FJS name [math]\displaystyle{ \text{m10} }[/math]
Tenney norm (log2 nd) 10.7549
Weil norm (log2 max(n, d)) 12
Wilson norm (sopfr(nd)) 21
Open this interval in xen-calc

64/27 is the Pythagorean minor tenth. It is a stack of three perfect fourths, and is an octave larger than a pythagorean minor third.

Trivia

This interval is a common ultrawide aspect ratio, often marketed as 21:9, which simplifies to 7:3. 64/27 differs from 21/9 by 64/63, the septimal comma.

See also