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). If tempered out, it tempers together [[5-limit]] and [[13-limit]]] intervals. However, it does not assosciate major with greater neutral and minor with lesser neutral as one would expect (see [[65/64]]), but the other way around. In particular [[5/4]]~[[39/32]] and [[6/5]]~[[16/13]]. | '''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). If tempered out, it tempers together [[5-limit]] and [[13-limit]]] intervals. However, it does not assosciate major with greater neutral and minor with lesser neutral as one would expect (see [[65/64]]), but the other way around. In particular [[5/4]]~[[39/32]] and [[6/5]]~[[16/13]] are temperings. | ||
Revision as of 18:58, 25 April 2024
| Interval information |
tridecimal minor diesis
reduced
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). If tempered out, it tempers together 5-limit and 13-limit] intervals. However, it does not assosciate major with greater neutral and minor with lesser neutral as one would expect (see 65/64), but the other way around. In particular 5/4~39/32 and 6/5~16/13 are temperings.