Pentadacus: Difference between revisions

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Pentadacus is connected to the octave-repeating [[didacus]] temperament as both have a small whole tone generator for which 3 stack to 7/5, and [[didacus|undecimal didacus]] can actually be viewed not only as an extension of didacus to include the 11th harmonic, but also an extension of pentadacus to include octaves. Pentadacus's connection to [[14ed5]] (which is effectively 6edo with a just 5/1) is a lot like didacus's connection to [[6edo]].
Pentadacus is connected to the octave-repeating [[didacus]] temperament as both have a small whole tone generator for which 3 stack to 7/5, and [[didacus|undecimal didacus]] can actually be viewed not only as an extension of didacus to include the 11th harmonic, but also an extension of pentadacus to include octaves. Pentadacus's connection to [[14ed5]] (which is effectively 6edo with a just 5/1) is a lot like didacus's connection to [[6edo]].
== Interval chain ==
{| class="wikitable center-1 right-2"
|+ style="font-size: 105%;" | Pentadacus
|-
! rowspan="2" | # !! rowspan="2" | Cents* !! colspan="2" | Approximate ratios
|-
! 5.7.11 subgroup !!
|-
| 0 || 0.0 || '''1/1''', 831875/823543  ||
|}


[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Didacus]]
[[Category:Didacus]]