1024/729: Difference between revisions

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| Cents = 588.26999
| Cents = 588.26999
| 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, sawa 5th
| FJS name = d5
| FJS name = d5
| Sound = Ji-1024-729-csound-foscil-220hz.mp3
| Sound = Ji-1024-729-csound-foscil-220hz.mp3

Revision as of 02:01, 13 July 2021

Interval information
Ratio 1024/729
Factorization 210 × 3-6
Monzo [10 -6
Size in cents 588.27¢
Names Pythagorean narrow tritone,
Pythagorean diminished fifth
Color name sw5, sawa 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

1024/729, the Pythagorean diminished fifth, is the octave complement of the “classic” 729/512 tritone. It may be reached by stacking six perfect fourths (4/3), and reducing by two octaves, it's is separated from the 5-limit interval of 45/32 by the schisma (less than 2 cents).

See also