420edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|420}}
{{ED intro}}


== Theory ==
== Theory ==
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== Trivia ==
== Trivia ==
The approximation to the third harmonic, which derives from 70edo, constitutes 666 steps of 420edo. Nice.
The approximation to the third harmonic, which derives from 70edo, constitutes 666 steps of 420edo.


== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Comma list|Comma List]]
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| 2401/2400, 4000/3993, 5120/5103, 15625/15552
| 2401/2400, 4000/3993, 5120/5103, 15625/15552
| {{mapping| 420 666 975 1179 1453 }}
| {{mapping| 420 666 975 1179 1453 }}
| -0.051
| −0.051
| 0.278
| 0.278
| 9.74
| 9.74
|-
|- style="border-top: double;"
| style="border-top: double;" | 2.5.7.11.13.19.23
| 2.5.7.11.13.19.23
| style="border-top: double;" | 875/874, 5635/5632, 10241/10240, 12103/12100, 11875/11858, 10985/10976
| 875/874, 5635/5632, 10241/10240, 12103/12100, 11875/11858, 10985/10976
| style="border-top: double;" | {{mapping| 420 975 1179 1453 1554 1784 1900 }}
| {{mapping| 420 975 1179 1453 1554 1784 1900 }}
| style="border-top: double;" | 0.069
| +0.069
| style="border-top: double;" | 0.104
| 0.104
| style="border-top: double;" | 3.62
| 3.62
|}
|}


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; [[Mandrake]]
; [[Mandrake]]
* [https://youtu.be/X1deLLCJD64?si=baHHYZQV9VFMaJZs ''Follow In Is''] (2022) – a superset of [[12edo]], [[5edo]], and [[7edo]], least common multiple of which is 420edo.
* [https://youtu.be/X1deLLCJD64?si=baHHYZQV9VFMaJZs ''Follow In Is''] (2022) – a superset of [[12edo]], [[5edo]], and [[7edo]], least common multiple of which is 420edo.
[[Category:Listen]]