1024/729: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
m cats
Xenwolf (talk | contribs)
added sound
Line 6: Line 6:
| Name = Pythagorean narrow tritone <br>Pythagorean diminished fifth
| Name = Pythagorean narrow tritone <br>Pythagorean diminished fifth
| Color name = sw5, small wa 5th  
| Color name = sw5, small wa 5th  
| Sound = jid_1024_729_pluck_adu_dr220.mp3
| Sound = Ji-1024-729-csound-foscil-220hz.mp3
}}
}}


Line 20: Line 20:
[[Category:Tritone]]
[[Category:Tritone]]
[[Category:Pythagorean]]
[[Category:Pythagorean]]
[[Category:Listen]]

Revision as of 18:56, 15 June 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