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I delete what I added because acoustic constants are too bad comparing to those of 23edo or 26edo, and logarithmic constants don't correspond to anything mathematically
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The following table shows how [[15-odd-limit intervals]] are represented in 29edo. Prime harmonics are in '''bold'''.  
The following table shows how [[15-odd-limit intervals]] are represented in 29edo. Prime harmonics are in '''bold'''.  
{{15-odd-limit|29}}
{{15-odd-limit|29}}
== Logarithmic π and ϕ, Acoustic π and ϕ ==
29edo has decent approximations of logarithmic π (4\29), [[Logarithmic phi|logarithmic ϕ]] (18\29), [[11/7#Proximity with π/2|acoustic π]] (19\29) and [[Acoustic phi|acoustic ϕ]] (20\29).<ref>octave-reduced equivalences</ref>
These intervals can be better approximated on various lower EDOs, but not all these four at the same time.
<references />
Not until [[304edo|304]] do we find a better EDO in terms of relative error on these intervals.
However, it should be noted that from a musical standpoint, only the acoustic intervals are truly relevant, and from this perspective, acoustic π and acoustic ϕ are both better represented on [[23edo]].
{| class="wikitable center-all"
|+Direct mapping of acoustic intervals
|-
! Interval
! Error (abs, [[Cent|¢]])
|-
| π
| 4.412
|-
| ϕ
| 5.504
|-
| π/ϕ
| 9.916
|}


== Regular temperament properties ==
== Regular temperament properties ==
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