40/39: Difference between revisions

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'''40/39''' is the difference between the third octave of the third [[5/4]] (40 = 5 ⋅ 2<sup>3</sup>) and the fifth of the thirteenth partial of the same root (39 = 13 ⋅ 3). Possibility to change from subsystem 4 to subsystem 3 (or 5 to 13).
'''40/39''' is the difference between the third octave of the third [[5/4]] (40 = 5 ⋅ 2<sup>3</sup>) and the fifth of the thirteenth partial of the same root (39 = 13 ⋅ 3).  
 
{{todo|clarify}} <!-- subsystem?? -->
{{todo|clarify}} <!-- subsystem?? -->

Revision as of 18:56, 25 April 2024

Interval information
Ratio 40/39
Factorization 23 × 3-1 × 5 × 13-1
Monzo [3 -1 1 0 0 -1
Size in cents 43.83105¢
Names tridecimal 1/5-tone,
tridecimal minor diesis
Color name 3uy1, thuyo unison
FJS name [math]\displaystyle{ \text{A1}^{5}_{13} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 10.6073
Weil norm (log2 max(n, d)) 10.6439
Wilson norm (sopfr(nd)) 27
Open this interval in xen-calc

40/39 is the difference between the third octave of the third 5/4 (40 = 5 ⋅ 23) and the fifth of the thirteenth partial of the same root (39 = 13 ⋅ 3).