40/39: Difference between revisions

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The interval '''40:39''' (43.831 [[cent|cent]]s in size) is the difference between the third octave of the third 5:4 (40=5x2x2x2) and the fith of the thirteenth partial of the same root (39=13x3). possibility to change from subsystem 4 to subsystem 3 (or 5 to 13).
{{Infobox Interval
| JI glyph =
| Ratio = 40/39
| Monzo = 3 -1 1 0 0 -1
| Cents = 43.83105
| Name =
| Color name =
| FJS name =
| Sound =
}}
 
'''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).


[[Category:13-limit]]
[[Category:13-limit]]

Revision as of 16:10, 8 November 2020

Interval information
Ratio 40/39
Factorization 23 × 3-1 × 5 × 13-1
Monzo [3 -1 1 0 0 -1⟩
Size in cents 43.83105¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{A1}^{5}_{13} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 10.6073
Weil height (log2 max(n, d)) 10.6439
Wilson height (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). Possibility to change from subsystem 4 to subsystem 3 (or 5 to 13).

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