1024/729: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
added sound
Xenwolf (talk | contribs)
m schisma linked
Line 9: Line 9:
}}
}}


The '''Pythagorean diminished fifth''', '''1024/729''', may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves. It is separated from the 5-limit interval of 45/32 by the schisma, 32805/32768 (less than 2 cents).
The '''Pythagorean diminished fifth''', '''1024/729''', may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves. It is separated from the 5-limit interval of 45/32 by the schisma, [[32805/32768]] (less than 2 cents).


== See also ==
== See also ==

Revision as of 19:40, 3 November 2020

Interval information
Ratio 1024/729
Factorization 210 × 3-6
Monzo [10 -6
Size in cents 588.27¢
Name Pythagorean narrow tritone
Pythagorean diminished fifth
Color name sw5, small wa 5th
FJS name [math]\displaystyle{ \text{d5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 19.5098
Weil height (log2 max(n, d)) 20
Wilson height (sopfr(nd)) 38

[sound info]
Open this interval in xen-calc

The Pythagorean diminished fifth, 1024/729, may be reached by stacking six perfect fourths (4/3), and reducing by two octaves. It is separated from the 5-limit interval of 45/32 by the schisma, 32805/32768 (less than 2 cents).

See also